Added stability hydrostatics
This commit is contained in:
Jose Luis Cercós pita
parent
58f55b4a2b
commit
223e49af2f
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@ -59,6 +59,7 @@ class Plot(object):
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if self.execute():
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return
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ImageGui.open(self.path + 'volume.png')
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ImageGui.open(self.path + 'stability.png')
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def createDirectory(self):
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""" Create needed folder to write data and scripts.
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@ -97,13 +98,16 @@ class Plot(object):
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Output.write(" # 3: Wetted surface [m2]\n")
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Output.write(" # 4: 1cm triming ship moment [ton m]\n")
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Output.write(" # 5: Bouyance center x coordinate\n")
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Output.write(" # 6: Floating area\n")
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Output.write(" # 7: KBt\n")
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Output.write(" # 8: BMt\n")
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Output.write(" #\n")
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Output.write(" #################################################################\n")
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# Print data
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for i in range(0,len(drafts)):
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draft = drafts[i]
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point = Tools.Point(ship,draft,trim)
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string = "%f %f %f %f %f\n" % (point.disp, point.draft, point.wet, point.mom, point.xcb)
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string = "%f %f %f %f %f %f %f %f\n" % (point.disp, point.draft, point.wet, point.mom, point.xcb, point.farea, point.KBt, point.BMt)
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Output.write(string)
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# Close file
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Output.close()
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@ -160,13 +164,28 @@ class Plot(object):
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Output.write("set style 1 line linetype 1 linewidth 1 colour rgb (0):(0):(0)\n")
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Output.write("set style 2 line linetype 1 linewidth 1 colour rgb (1):(0):(0)\n")
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Output.write("set style 3 line linetype 1 linewidth 1 colour rgb (0):(0):(1)\n")
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Output.write("set style 4 line linetype 1 linewidth 1 colour rgb (1):(0):(1)\n")
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Output.write("set style 4 line linetype 1 linewidth 1 colour rgb (0.1):(0.5):(0.1)\n")
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# Write plot call
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Output.write("# Plot\n")
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Output.write("plot '%s' using 2:1 title '$\\bigtriangleup$' axes x1y1 with lines style 1, \\\n" % (self.dataFile))
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Output.write("plot '%s' using 2:1 title 'Draft' axes x1y1 with lines style 1, \\\n" % (self.dataFile))
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Output.write(" '' using 3:1 title 'Wetted area' axes x2y1 with lines style 2, \\\n")
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Output.write(" '' using 4:1 title '1cm trim moment' axes x3y1 with lines style 3, \\\n")
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Output.write(" '' using 5:1 title 'XCB' axes x4y1 with lines style 4\n")
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# Prepare second plot
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Output.write("set output '%s'\n" % (self.path + 'stability.eps'))
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Output.write("# X axis\n")
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Output.write("set x2label '\\textit{Floating area} / $\\mathrm{m}^2$'\n")
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Output.write("set x2tic\n")
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Output.write("set x3label '$KB_{T}$ / $\\mathrm{m}$'\n")
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Output.write("set x3tic\n")
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Output.write("set x4label '$BM_{T}$ / $\\mathrm{m}$'\n")
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Output.write("set x4tic\n")
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# Write plot call
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Output.write("# Plot\n")
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Output.write("plot '%s' using 2:1 title 'Draft' axes x1y1 with lines style 1, \\\n" % (self.dataFile))
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Output.write(" '' using 6:1 title 'Floating area' axes x2y1 with lines style 2, \\\n")
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Output.write(" '' using 7:1 title '$KB_{T}$' axes x3y1 with lines style 3, \\\n")
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Output.write(" '' using 8:1 title '$BM_{T}$' axes x4y1 with lines style 4\n")
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# Close file
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self.layoutFile = filename
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Output.close()
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@ -176,6 +195,7 @@ class Plot(object):
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""" Calls pyxplot in order to plot an save an image.
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@return True if error happens.
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"""
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# Plot
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filename = self.path + 'volume'
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comm = "pyxplot %s" % (self.layoutFile)
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if os.system(comm):
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@ -184,6 +204,16 @@ class Plot(object):
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msg = Translator.translate("Plot will not generated\n")
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FreeCAD.Console.PrintError(msg)
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return True
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# Convert volume
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comm = "gs -r300 -dEPSCrop -dTextAlphaBits=4 -sDEVICE=png16m -sOutputFile=%s.png -dBATCH -dNOPAUSE %s.eps" % (filename,filename)
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if os.system(comm):
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msg = Translator.translate("Can't execute ghostscript. Maybe is not installed?\n")
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FreeCAD.Console.PrintError(msg)
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msg = Translator.translate("Generated image will not converted to png\n")
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FreeCAD.Console.PrintError(msg)
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return True
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# Convert stability
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filename = self.path + 'stability'
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comm = "gs -r300 -dEPSCrop -dTextAlphaBits=4 -sDEVICE=png16m -sOutputFile=%s.png -dBATCH -dNOPAUSE %s.eps" % (filename,filename)
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if os.system(comm):
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msg = Translator.translate("Can't execute ghostscript. Maybe is not installed?\n")
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@ -355,6 +355,350 @@ def Moment(ship, draft, trim, disp, xcb):
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mom1 = -data[1]*data[2]
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return mom1 - mom0
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def FloatingArea(ship, draft, trim):
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""" Calculate ship floating area.
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@param ship Selected ship instance
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@param draft Draft.
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@param trim Trim in degrees.
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@return Ship floating area.
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"""
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angle = math.radians(trim)
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sections = Instance.sections(ship)
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xCoord = ship.xSection[:]
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lines = []
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area = 0.0
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if not sections:
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return 0.0
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for i in range(0, len(sections)):
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# Get the section
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section = sections[i]
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if len(section) < 2: # Empty section
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lines.append(0.0)
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continue
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# Get the position of the section
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x = xCoord[i]
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# Get the maximum Z value
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Z = draft - x*math.tan(angle)
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# Format section
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section = convertSection(section, x, Z)
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if not section:
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lines.append(0.0)
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continue
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# Get floating line length
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line = 0.0
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flag = True # Even lines compute for floating areas, odd no
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j = len(section)-1
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k = len(section[j])-1
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while k>0:
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k = k-1
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if flag:
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y0 = abs(section[j][k-1].y)
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y1 = abs(section[j][k].y)
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line = line + (y1 - y0)
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flag = not flag
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if flag: # Central body computation lefts
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y = abs(section[j][0].y)
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line = line + y
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lines.append(2.0*line) # 2x because only half ship is represented
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# Add area if proceed
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if i > 0:
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dx = xCoord[i] - xCoord[i-1]
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x = 0.5*(xCoord[i] + xCoord[i-1])
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line = 0.5*(lines[i] + lines[i-1])
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area = area + line*dx
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return area
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def KBT(ship, draft, trim, roll=0.0):
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""" Calculate ship Keel to Bouyance center transversal distance.
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@param ship Selected ship instance
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@param draft Draft.
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@param trim Trim in degrees.
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@param roll Roll angle in degrees.
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@return [KBTx, KBTy]: \n
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KBTy : TRansversal KB y coordinate \n
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KBTz : TRansversal KB z coordinate
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"""
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angle = math.radians(trim)
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rAngle = math.radians(roll)
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sections = Instance.sections(ship)
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xCoord = ship.xSection[:]
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areas = []
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vol = 0.0
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vMy = 0.0
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vMz = 0.0
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My = []
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Mz = []
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kb = [0.0,0.0]
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if not sections:
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return [[],0.0,0.0]
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for i in range(0, len(sections)):
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# ------------------------------------
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# Board
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# ------------------------------------
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# Get the section
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section = sections[i]
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if len(section) < 2: # Empty section
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areas.append(0.0)
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continue
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# Get the position of the section
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x = xCoord[i]
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# Get the maximum Z value
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Z = draft - x*math.tan(angle)
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# Format section
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aux = convertSection(section, x, Z)
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if not aux:
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areas.append(0.0)
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My.append(0.0)
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Mz.append(0.0)
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continue
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# Correct by roll angle
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pts = aux[len(aux)-1]
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beam = pts[0].y
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for i in range(1,len(pts)):
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beam = max(beam, pts[i].y)
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Z = Z - beam*math.tan(rAngle)
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# Format section
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section = convertSection(section, x, Z)
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if not section:
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areas.append(0.0)
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My.append(0.0)
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Mz.append(0.0)
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continue
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# Integrate area
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area = 0.0
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momy = 0.0
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momz = 0.0
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for j in range(0, len(section)-1):
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for k in range(0, min(len(section[j])-1, len(section[j+1])-1)):
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# y11,z11 ------- y01,z01
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# | |
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# | |
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# | |
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# y10,z10 ------- y00,z00
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y00 = abs(section[j][k].y)
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z00 = section[j][k].z
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y10 = abs(section[j][k+1].y)
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z10 = section[j][k+1].z
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y01 = abs(section[j+1][k].y)
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z01 = section[j+1][k].z
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y11 = abs(section[j+1][k+1].y)
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z11 = section[j+1][k+1].z
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dy = 0.5*((y00 - y10) + (y01 - y11))
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dz = 0.5*((z01 - z00) + (z11 - z10))
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y = 0.25*(y00 + y10 + y01 + y11)
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z = 0.25*(z01 + z00 + z11 + z10)
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area = area + dy*dz
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momy = momy + y*dy*dz
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momz = momz + z*dy*dz
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if(len(section[j]) < len(section[j+1])):
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# y01,z01 ------- y11,z11
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# | __/
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# | __/
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# | /
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# y00,z00
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k = len(section[j])-1
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y00 = abs(section[j][k].y)
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z00 = section[j][k].z
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y01 = abs(section[j+1][k].y)
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z01 = section[j+1][k].z
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y11 = abs(section[j+1][k+1].y)
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z11 = section[j+1][k+1].z
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dy = y01 - y11
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dz = z01 - z00
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y = 0.33*(y00 + y01 + y11)
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z = 0.33*(z01 + z00 + z11)
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area = area + 0.5*dy*dz
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momy = momy + y*0.5*dy*dz
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momz = momz + z*0.5*dy*dz
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elif(len(section[j]) > len(section[j+1])):
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# y01,z01
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# | \__
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# | \__
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# | \
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# y00,z00 ------- y10,z10
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k = len(section[j+1])-1
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y00 = abs(section[j][k].y)
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z00 = section[j][k].z
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y10 = abs(section[j][k+1].y)
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z10 = section[j][k+1].z
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y01 = abs(section[j+1][k].y)
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z01 = section[j+1][k].z
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dy = y00 - y10
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dz = z01 - z00
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y = 0.33*(y00 + y01 + y10)
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z = 0.33*(z01 + z00 + z10)
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area = area + 0.5*dy*dz
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momy = momy + y*0.5*dy*dz
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momz = momz + z*0.5*dy*dz
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elif(len(section[j]) == 1):
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# y1,z1 -------
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# |
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# |
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# |
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# y0,z0 -------
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k = 0
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y0 = abs(section[j][k].y)
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z0 = section[j][k].z
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y1 = abs(section[j+1][k].y)
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z1 = section[j+1][k].z
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dy = 0.5 * (y0 + y1)
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dz = z1 - z0
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y = 0.25*(y1 + y0)
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z = 0.25*(z1 + z0)
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area = area + dy*dz
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momy = momy + y*dy*dz
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momz = momz + z*dy*dz
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# ------------------------------------
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# StarBoard
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# ------------------------------------
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# Get the section
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section = sections[i]
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# Get the maximum Z value
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Z = draft - x*math.tan(angle)
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# Format section
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aux = convertSection(section, x, Z)
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if not aux:
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areas.append(0.0)
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My.append(0.0)
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Mz.append(0.0)
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continue
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# Correct by roll angle
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pts = aux[len(aux)-1]
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beam = pts[0].y
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for i in range(1,len(pts)):
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beam = max(beam, pts[i].y)
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Z = Z + beam*math.tan(rAngle)
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# Format section
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section = convertSection(section, x, Z)
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if not section:
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areas.append(0.0)
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My.append(0.0)
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Mz.append(0.0)
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continue
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# Integrate area
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for j in range(0, len(section)-1):
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for k in range(0, min(len(section[j])-1, len(section[j+1])-1)):
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# y11,z11 ------- y01,z01
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# | |
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# | |
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# | |
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# y10,z10 ------- y00,z00
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y00 = abs(section[j][k].y)
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z00 = section[j][k].z
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y10 = abs(section[j][k+1].y)
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z10 = section[j][k+1].z
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y01 = abs(section[j+1][k].y)
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z01 = section[j+1][k].z
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y11 = abs(section[j+1][k+1].y)
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z11 = section[j+1][k+1].z
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dy = 0.5*((y00 - y10) + (y01 - y11))
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dz = 0.5*((z01 - z00) + (z11 - z10))
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y = 0.25*(y00 + y10 + y01 + y11)
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z = 0.25*(z01 + z00 + z11 + z10)
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area = area + dy*dz
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momy = momy - y*dy*dz
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momz = momz + z*dy*dz
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if(len(section[j]) < len(section[j+1])):
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# y01,z01 ------- y11,z11
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# | __/
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# | __/
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# | /
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# y00,z00
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k = len(section[j])-1
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y00 = abs(section[j][k].y)
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z00 = section[j][k].z
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y01 = abs(section[j+1][k].y)
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z01 = section[j+1][k].z
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y11 = abs(section[j+1][k+1].y)
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z11 = section[j+1][k+1].z
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dy = y01 - y11
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dz = z01 - z00
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y = 0.33*(y00 + y01 + y11)
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z = 0.33*(z01 + z00 + z11)
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area = area + 0.5*dy*dz
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momy = momy - y*0.5*dy*dz
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momz = momz + z*0.5*dy*dz
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elif(len(section[j]) > len(section[j+1])):
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# y01,z01
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# | \__
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# | \__
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# | \
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# y00,z00 ------- y10,z10
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k = len(section[j+1])-1
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y00 = abs(section[j][k].y)
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z00 = section[j][k].z
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y10 = abs(section[j][k+1].y)
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z10 = section[j][k+1].z
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y01 = abs(section[j+1][k].y)
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z01 = section[j+1][k].z
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dy = y00 - y10
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dz = z01 - z00
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y = 0.33*(y00 + y01 + y10)
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z = 0.33*(z01 + z00 + z10)
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area = area + 0.5*dy*dz
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momy = momy - y*0.5*dy*dz
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momz = momz + z*0.5*dy*dz
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elif(len(section[j]) == 1):
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# y1,z1 -------
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# |
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# |
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# |
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# y0,z0 -------
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k = 0
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y0 = abs(section[j][k].y)
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z0 = section[j][k].z
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y1 = abs(section[j+1][k].y)
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z1 = section[j+1][k].z
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dy = 0.5 * (y0 + y1)
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dz = z1 - z0
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y = 0.25*(y1 + y0)
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z = 0.25*(z1 + z0)
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area = area + dy*dz
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momy = momy - y*dy*dz
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momz = momz + z*dy*dz
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areas.append(area)
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My.append(momy)
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Mz.append(momz)
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# Add volume & moment if proceed
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if i > 0:
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dx = xCoord[i] - xCoord[i-1]
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x = 0.5*(xCoord[i] + xCoord[i-1])
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area = 0.5*(areas[i] + areas[i-1])
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momy = 0.5*(My[i] + My[i-1])
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momz = 0.5*(Mz[i] + Mz[i-1])
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vol = vol + area*dx
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vMy = vMy + momy*dx
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vMz = vMz + momz*dx
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# Compute KBT
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kb[0] = vMy / vol
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kb[1] = vMz / vol
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return kb
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def BMT(ship, draft, trim):
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""" Calculate ship Bouyance center transversal distance.
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@param ship Selected ship instance
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@param draft Draft.
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@param trim Trim in degrees.
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@return BM Bouyance to metacenter height.
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"""
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nRoll = 2
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maxRoll = 7.0
|
||||
kb0 = KBT(ship,draft,trim)
|
||||
BM = 0.0
|
||||
for i in range(0,nRoll):
|
||||
roll = (maxRoll/nRoll)*(i+1)
|
||||
kb = KBT(ship,draft,trim,roll)
|
||||
# * M
|
||||
# / \
|
||||
# / \ BM ==|> BM = (BB/2) / tan(alpha/2)
|
||||
# / \
|
||||
# *-------*
|
||||
# BB
|
||||
BB = [kb[0] - kb0[0], kb[1] - kb0[1]]
|
||||
BB = math.sqrt(BB[0]*BB[0] + BB[1]*BB[1])
|
||||
BM = BM + 0.5*BB/math.tan(math.radians(0.5*roll)) / nRoll # nRoll is the weight function
|
||||
return BM
|
||||
|
||||
class Point:
|
||||
""" Hydrostatics point, that conatins: \n
|
||||
draft Ship draft [m]. \n
|
||||
|
|
@ -362,7 +706,10 @@ class Point:
|
|||
disp Ship displacement [ton]. \n
|
||||
xcb Bouyance center X coordinate [m].
|
||||
wet Wetted ship area [m2].
|
||||
mom triming 1cm ship moment [ton m].
|
||||
mom Triming 1cm ship moment [ton m].
|
||||
farea Floating area [m2].
|
||||
KBt Transversal KB height [m].
|
||||
BMt Transversal BM height [m].
|
||||
@note Moment is positive when produce positive trim.
|
||||
"""
|
||||
def __init__(self, ship, draft, trim):
|
||||
|
|
@ -376,10 +723,16 @@ class Point:
|
|||
areasData = Displacement(ship,draft,trim)
|
||||
wettedArea = WettedArea(ship,draft,trim)
|
||||
moment = Moment(ship,draft,trim,areasData[1],areasData[2])
|
||||
farea = FloatingArea(ship,draft,trim)
|
||||
kb = KBT(ship,draft,trim)
|
||||
bm = BMT(ship,draft,trim)
|
||||
# Store final data
|
||||
self.draft = draft
|
||||
self.trim = trim
|
||||
self.disp = areasData[1]
|
||||
self.xcb = areasData[2]
|
||||
self.wet = wettedArea
|
||||
self.farea = farea
|
||||
self.mom = moment
|
||||
self.KBt = kb[1]
|
||||
self.BMt = bm
|
||||
|
|
|
|||
Loading…
Reference in New Issue
Block a user