openVRengine.py

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  1#+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
  2# This is an EXUDYN example
  3#
  4# Details:  test creating piston engine with variable number of pistons and piston angles;
  5#           possibility to interact with openVR
  6#
  7# Author:   Johannes Gerstmayr
  8# Date:     2023-01-17
  9#
 10# Copyright:This file is part of Exudyn. Exudyn is free software. You can redistribute it and/or modify it under the terms of the Exudyn license. See 'LICENSE.txt' for more details.
 11#
 12#+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 13
 14
 15import exudyn as exu
 16from exudyn.utilities import *
 17from math import sin, cos, asin, acos, pi, exp, log, tan, atan, radians
 18from exudyn.interactive import InteractiveDialog
 19
 20
 21omegaDrive = 4*pi*0.5
 22tEnd = 3600
 23nodeType = exu.NodeType.RotationEulerParameters
 24fixedSpeed = False #if false, the speed is given only for first 1 second
 25
 26# nodeType = exu.NodeType.RotationRxyz
 27#nodeType = exu.NodeType.RotationRotationVector
 28
 29# import matplotlib.pyplot as plt
 30# plt.close('all')
 31zOffAdd = -0.5
 32
 33class EngineParameters:
 34    def __init__(self, crankAnglesDegrees=[], pistonAnglesDegrees=[]):
 35        #parameters in m, s, kg, rad, ...
 36        self.crankAnglesDegrees = crankAnglesDegrees
 37        if pistonAnglesDegrees == []:
 38            self.pistonAnglesDegrees = list(0*np.array(crankAnglesDegrees))
 39        else:
 40            self.pistonAnglesDegrees = pistonAnglesDegrees
 41
 42        crankAngles = pi/180*np.array(crankAnglesDegrees)
 43        self.crankAngles = list(crankAngles)
 44
 45        pistonAngles = pi/180*np.array(self.pistonAnglesDegrees)
 46        self.pistonAngles = list(pistonAngles)
 47
 48        densitySteel = 7850
 49        #kinematics & inertia & drawing
 50        fZ = 1#0.2
 51        self.pistonDistance = 0.08
 52        self.pistonMass = 0.5
 53        self.pistonLength = 0.05
 54        self.pistonRadius = 0.02
 55
 56        self.conrodLength = 0.1 #X
 57        self.conrodHeight = 0.02*fZ#Y
 58        self.conrodWidth = 0.02*fZ #Z
 59        self.conrodRadius = 0.012*fZ #Z
 60
 61        self.crankArmLength = 0.04      #X
 62        self.crankArmHeight = 0.016     #Y
 63        self.crankArmWidth = 0.01*fZ       #Z width of arm
 64        self.crankBearingWidth = 0.012*fZ   #Z
 65        self.crankBearingRadius = 0.01
 66
 67        self.conrodCrankCylLength = 0.024*fZ  #Z; length of cylinder (bearing conrod-crank)
 68        self.conrodCrankCylRadius = 0.008 #radius of cylinder (bearing conrod-crank)
 69
 70        self.pistonDistance = self.crankBearingWidth + 2*self.crankArmWidth + self.conrodCrankCylLength #Z distance
 71
 72        self.inertiaConrod = InertiaCuboid(densitySteel, sideLengths=[self.conrodLength, self.conrodHeight, self.conrodWidth])
 73
 74        eL = self.Length()
 75        #last bearing:
 76        densitySteel2 = densitySteel
 77        self.inertiaCrank = InertiaCylinder(densitySteel2, self.crankBearingWidth, self.crankBearingRadius, axis=2).Translated([0,0,0.5*eL-0.5*self.crankBearingWidth])
 78
 79
 80
 81        for cnt, angle in enumerate(self.crankAngles):
 82            A = RotationMatrixZ(angle)
 83            zOff = -0.5*eL + cnt*self.pistonDistance
 84            arm = InertiaCuboid(densitySteel2, sideLengths=[self.crankArmLength, self.crankArmHeight, self.crankArmWidth])
 85            cylCrank = InertiaCylinder(densitySteel2, self.crankBearingWidth, self.crankBearingRadius, axis=2)
 86            cylConrod = InertiaCylinder(densitySteel2, self.conrodCrankCylLength, self.conrodCrankCylRadius, axis=2)
 87            #add inertias:
 88            self.inertiaCrank += cylCrank.Translated([0,0,zOff+self.crankBearingWidth*0.5])
 89            self.inertiaCrank += arm.Rotated(A).Translated(A@[self.crankArmLength*0.5,0,zOff+self.crankBearingWidth+self.crankArmWidth*0.5])
 90            self.inertiaCrank += cylConrod.Translated(A@[self.crankArmLength,0,zOff+self.crankBearingWidth+self.crankArmWidth+self.conrodCrankCylLength*0.5])
 91            self.inertiaCrank += arm.Rotated(A).Translated(A@[self.crankArmLength*0.5,0,zOff+self.crankBearingWidth+self.crankArmWidth*1.5+self.conrodCrankCylLength])
 92
 93        # self.inertiaCrank = InertiaCylinder(1e-8*densitySteel, length=self.pistonLength,
 94        #                                      outerRadius=self.pistonRadius, innerRadius=0.5*self.pistonRadius, axis=2)
 95
 96        self.inertiaPiston = InertiaCylinder(densitySteel, length=self.pistonLength,
 97                                             outerRadius=self.pistonRadius, innerRadius=0.5*self.pistonRadius, axis=0)
 98
 99        #self.inertiaCrank.com = [0,0,0]
100        # print('crank COM=',np.array(self.inertiaCrank.com).round(8))
101        # print('inertiaCrank=',self.inertiaCrank)
102        # print('inertiaConrod=',self.inertiaConrod)
103        # print('inertiaPiston=',self.inertiaPiston)
104
105    def Length(self):
106        return self.pistonDistance*len(self.crankAngles) + self.crankBearingWidth
107
108    def MaxDimX(self):
109        return self.crankArmLength + self.conrodLength + self.pistonLength
110
111def ComputeSliderCrank(angleCrank, anglePiston, l1, l2):
112    phi1 = angleCrank-anglePiston
113    h = l1*sin(phi1) #height of crank-conrod bearing
114    phi2 = asin(h/l2) #angle of conrod in 2D slider-crank, corotated with piston rotation
115    angleConrod = anglePiston-phi2
116    Acr = RotationMatrixZ(angleConrod)
117    dp = l1*cos(phi1) + l2*cos(phi2) #distance of piston from crank rotation axis
118    return [phi1,phi2, angleConrod, Acr, dp]
119
120
121#this function (re-)creates gear geometry
122def CreateEngine(P):
123
124    colorCrank = color4grey
125    colorConrod = color4dodgerblue
126    colorPiston = color4brown[0:3]+[0.5]
127    showJoints = True
128
129    gravity = [0,-9.81*0,0]
130    eL = P.Length()
131    oGround=mbs.AddObject(ObjectGround(referencePosition= [0,0,zOffAdd], visualization=VObjectGround(graphicsData= [])))
132    nGround=mbs.AddNode(NodePointGround(referenceCoordinates = [0,0,zOffAdd]))
133
134    gEngine = [GraphicsDataOrthoCubePoint(centerPoint=[0,0,0], size=[P.MaxDimX()*2, P.MaxDimX(), eL*1.2],
135                                          color=[0.6,0.6,0.6,0.1], addEdges=True,
136                                          edgeColor = [0.8,0.8,0.8,0.3], addFaces=False)]
137    gEngine = [] #no block
138    #oEngine=mbs.AddObject(ObjectGround(referencePosition= [0,0,0], visualization=VObjectGround(graphicsData= gEngine)))
139    [nEngine, oEngine] = AddRigidBody(mbs, InertiaCuboid(1000, sideLengths=[1,1,1]), #dummy engine inertia
140                                      nodeType = nodeType,
141                                      position=[0,0,zOffAdd],
142                                      graphicsDataList = gEngine
143                                      )
144
145    mGround = mbs.AddMarker(MarkerBodyRigid(bodyNumber=oGround))
146    mEngine = mbs.AddMarker(MarkerBodyRigid(bodyNumber=oEngine))
147    sEngineForce = 0
148    oEngineJoint = 0
149    sEngineTorque  = 0
150    oEngineJoint = mbs.AddObject(GenericJoint(markerNumbers=[mEngine, mGround], constrainedAxes=[1,1,1, 1,1,1],
151                                    visualization=VGenericJoint(show=False)))
152    sEngineForce = mbs.AddSensor(SensorObject(objectNumber=oEngineJoint, storeInternal=True,
153                                              outputVariableType=exu.OutputVariableType.ForceLocal))
154    sEngineTorque = mbs.AddSensor(SensorObject(objectNumber=oEngineJoint, storeInternal=True,
155                                              outputVariableType=exu.OutputVariableType.TorqueLocal))
156
157    bConrodList = []
158    bPistonList = []
159    gCrank = []
160    for cnt, angleCrank in enumerate(P.crankAngles):
161        anglePiston = P.pistonAngles[cnt]
162        Ac = RotationMatrixZ(angleCrank)
163        Ap = RotationMatrixZ(anglePiston)
164        [phi1,phi2, angleConrod, Acr, dp] = ComputeSliderCrank(angleCrank, anglePiston, P.crankArmLength, P.conrodLength)
165
166        zOff = -0.5*eL + cnt*P.pistonDistance + zOffAdd
167        #zOff = 0
168        #crank bearing
169        zAdd = 0
170        if cnt>0: zAdd = P.crankArmWidth
171        gCrank += [GraphicsDataCylinder(pAxis=[0,0,zOff-zAdd], vAxis=[0,0,P.crankBearingWidth+P.crankArmWidth+zAdd],
172                                        radius=P.crankBearingRadius, color=color4red)]
173        #arm1
174        arm1 = GraphicsDataOrthoCubePoint([P.crankArmLength*0.5,0,zOff+P.crankArmWidth*0.5+P.crankBearingWidth],
175                                              size=[P.crankArmLength,P.crankArmHeight,P.crankArmWidth], color=colorCrank)
176        gCrank += [MoveGraphicsData(arm1, [0,0,0], Ac)]
177        #conrod bearing
178        gCrank += [GraphicsDataCylinder(pAxis=Ac@[P.crankArmLength,0,zOff+P.crankBearingWidth+P.crankArmWidth*0],
179                                       vAxis=[0,0,P.conrodCrankCylLength+2*P.crankArmWidth], radius=P.conrodCrankCylRadius, color=colorCrank)]
180
181        #arm2
182        arm2 = GraphicsDataOrthoCubePoint([P.crankArmLength*0.5,0,zOff+P.crankArmWidth*1.5+P.crankBearingWidth+P.conrodCrankCylLength],
183                                              size=[P.crankArmLength,P.crankArmHeight,P.crankArmWidth],
184                                              color=colorCrank)
185        gCrank += [MoveGraphicsData(arm2, [0,0,0], Ac)]
186
187        if cnt == len(P.crankAngles)-1:
188            gCrank += [GraphicsDataCylinder(pAxis=[0,0,zOff+P.crankArmWidth+P.crankBearingWidth+P.conrodCrankCylLength], vAxis=[0,0,P.crankBearingWidth+P.crankArmWidth],
189                                            radius=P.crankBearingRadius, color=color4red)]
190
191        #++++++++++++++++++++++++++++++++++++++
192        #conrod
193        gConrod = [ GraphicsDataRigidLink (p0=[-0.5*P.conrodLength, 0, 0], p1=[0.5*P.conrodLength,0,0], axis0= [0,0,1], axis1= [0,0,1],
194                                           radius= [P.conrodRadius]*2,
195                                           thickness= P.conrodHeight, width=[P.conrodWidth]*2, color= colorConrod, nTiles= 16)]
196
197        [nConrod, bConrod] = AddRigidBody(mbs, P.inertiaConrod,
198                                          nodeType = nodeType,
199                                        position=Ac@[P.crankArmLength,0,0] + Acr@[0.5*P.conrodLength,0,
200                                                  zOff+P.crankArmWidth+P.crankBearingWidth+0.5*P.conrodCrankCylLength],
201                                        # angularVelocity=[0,0,0],
202                                        rotationMatrix=Acr,
203                                        gravity = gravity,
204                                        graphicsDataList = gConrod
205                                        )
206        bConrodList += [bConrod]
207        #++++++++++++++++++++++++++++++++++++++
208        #piston
209        gPiston = [GraphicsDataCylinder(pAxis=[-P.conrodRadius*0.5,0,0],
210                                         vAxis=[P.pistonLength,0,0], radius=P.pistonRadius, color=colorPiston)]
211
212        [nPiston, bPiston] = AddRigidBody(mbs, P.inertiaPiston,
213                                          nodeType = nodeType,
214                                        # position=Ap@[P.crankArmLength + P.conrodLength,0,
215                                        #           zOff+P.crankArmWidth+P.crankBearingWidth+0.5*P.conrodCrankCylLength],
216                                        position=Ap@[dp,0,
217                                                  zOff+P.crankArmWidth+P.crankBearingWidth+0.5*P.conrodCrankCylLength],
218                                        # angularVelocity=[0,0,0],
219                                        rotationMatrix=Ap,
220                                        gravity = gravity,
221                                        graphicsDataList = gPiston
222                                        )
223        bPistonList += [bPiston]
224
225    [nCrank, bCrank] = AddRigidBody(mbs, P.inertiaCrank,
226                                    nodeType = nodeType,
227                                    position=[0,0,0],
228                                    #angularVelocity=[0,0,omega0],
229                                    gravity = gravity,
230                                    graphicsDataList = gCrank
231                                    )
232
233    sCrankAngVel = mbs.AddSensor(SensorNode(nodeNumber=nCrank, storeInternal=True,
234                                              outputVariableType=exu.OutputVariableType.AngularVelocity))
235
236    #++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
237    #JOINTS:
238    [oJointCrank, mBody0Crank, mBody1Crank] = AddRevoluteJoint(mbs, oEngine, bCrank, point=[0,0,-0.5*eL], axis=[0,0,1], showJoint=showJoints,
239                                                axisRadius=P.crankBearingRadius*1.2, axisLength=P.crankBearingWidth*0.8)
240
241    for cnt, angleCrank in enumerate(P.crankAngles):
242        anglePiston = P.pistonAngles[cnt]
243        Ac = RotationMatrixZ(angleCrank)
244        Ap = RotationMatrixZ(anglePiston)
245        [phi1,phi2, angleConrod, Acr, dp] = ComputeSliderCrank(angleCrank, anglePiston, P.crankArmLength, P.conrodLength)
246
247        zOff = -0.5*eL + cnt*P.pistonDistance
248        #zOff = 0
249
250        [oJointCC, mBody0CC, mBody1CC] = AddRevoluteJoint(mbs, bCrank, bConrodList[cnt],
251                                                          point=Ac@[P.crankArmLength,0,zOff + P.crankBearingWidth+P.crankArmWidth+0.5*P.conrodCrankCylLength],
252                                                          axis=[0,0,1], showJoint=showJoints,
253                                                          axisRadius=P.crankBearingRadius*1.3, axisLength=P.crankBearingWidth*0.8)
254
255        #pPiston = A@[P.crankArmLength+P.conrodLength,0,zOff + P.crankBearingWidth+P.crankArmWidth+0.5*P.conrodCrankCylLength]
256        pPiston = Ap@[dp,0,zOff + P.crankBearingWidth+P.crankArmWidth+0.5*P.conrodCrankCylLength]
257        [oJointCP, mBody0CP, mBody1CP] = AddRevoluteJoint(mbs, bConrodList[cnt], bPistonList[cnt],
258                                                          point=pPiston,
259                                                          axis=[0,0,1], showJoint=showJoints,
260                                                          axisRadius=P.crankBearingRadius*1.3, axisLength=P.crankBearingWidth*0.8)
261
262        # AddPrismaticJoint(mbs, oEngine, bPistonList[cnt],
263        #                                                 point=pPiston,
264        #                                                 axis=A@[1,0,0], showJoint=showJoints,
265        #                                                 axisRadius=P.crankBearingRadius*1.3, axisLength=P.crankBearingWidth*0.8)
266        mEngine = mbs.AddMarker(MarkerBodyRigid(bodyNumber=oEngine, localPosition=pPiston))
267        mPiston = mbs.AddMarker(MarkerBodyRigid(bodyNumber=bPistonList[cnt], localPosition=[0,0,0]))
268        mbs.AddObject(GenericJoint(markerNumbers=[mPiston, mEngine], constrainedAxes=[0,1,0, 0,0,1],
269                                   # rotationMarker0=A.T,
270                                   rotationMarker1=Ap,
271                                   visualization=VGenericJoint(show=False, axesRadius=P.conrodRadius*1.4,axesLength=0.05)))
272
273    #++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
274    #DRIVE:
275    def UFoffset(mbs, t, itemNumber, lOffset):
276        return 0
277
278    def UFoffset_t(mbs, t, itemNumber, lOffset): #time derivative of UFoffset
279        return SmoothStep(t, 0, 0.5, 0, omegaDrive)
280
281    mCrankRotation = mbs.AddMarker(MarkerNodeRotationCoordinate(nodeNumber=nCrank, rotationCoordinate=2))
282    mNodeEngine = mbs.AddMarker(MarkerNodeRotationCoordinate(nodeNumber=nEngine, rotationCoordinate=2))
283    oRotationConstraint = mbs.AddObject(CoordinateConstraint(markerNumbers=[mNodeEngine, mCrankRotation], velocityLevel=True,
284                                        offsetUserFunction=UFoffset,
285                                        offsetUserFunction_t=UFoffset_t,
286                                        visualization=VCoordinateConstraint(show=False)))
287
288    return [oEngine, oEngineJoint, sEngineForce, sEngineTorque, sCrankAngVel, oRotationConstraint, nCrank, bCrank]
289
290engines = []
291engines+=[EngineParameters([0])]                                           #R1
292engines+=[EngineParameters([0,180])]                                       #R2
293engines+=[EngineParameters([0,180,180,0])]                                 #R4 straight-four engine, Reihen-4-Zylinder
294engines+=[EngineParameters([0,90,270,180])]                                #R4 in different configuration
295engines+=[EngineParameters([0,180,180,0],[0,180,180,0])]                   #Boxer 4-piston perfect mass balancing
296
297engines+=[EngineParameters([0,120,240])]                                   #R3
298engines+=[EngineParameters(list(np.arange(0,5)*144))]                      #R5
299engines+=[EngineParameters([0,120,240,240,120,0])]                         #R6
300engines+=[EngineParameters([0,0,120,120,240,240],[-30,30,-30,30,-30,30])]  #V6
301engines+=[EngineParameters([0,0,120,120,240,240,240,240,120,120,0,0],[-30,30,-30,30,-30,30,30,-30,30,-30,30,-30])] #V12
302
303engines+=[EngineParameters([0,90,180,270,270,180,90,360])]                  #R8
304engines+=[EngineParameters([0,0,90,90,270,270,180,180], [-45,45,-45,45, 45,-45,45,-45])] #V8
305
306# n=12
307# a=list(np.arange(0,n)*30)
308# b=list(np.arange(n-1,-1,-1)*30)
309# #engines+=[EngineParameters(a+a,b+b)
310
311#+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
312#
313engines=[EngineParameters([0,90,270,180], [90]*4)]
314#engines=[EngineParameters([0,0,120,120,240,240,240,240,120,120,0,0],[60,120,60,120,60,120,120,60,120,60,120,60])] #V12
315
316for engine in engines:
317
318    SC = exu.SystemContainer()
319    mbs = SC.AddSystem()
320
321    [oEngine, oEngineJoint, sEngineForce, sEngineTorque, sCrankAngVel, oRotationConstraint,
322     nCrank, bCrank] = CreateEngine(engine)
323
324    d = 2.4     #box size
325    h = 0.5*d #box half size
326    w = d
327    gDataList = []
328    gDataList += [GraphicsDataCheckerBoard(point=[0,0,-h], normal=[0,0,1], size=2*d, size2=d, nTiles=12*2, nTiles2=12, color=color4grey)]
329    gDataList += [GraphicsDataCheckerBoard(point=[-w,0,0], normal=[ 1,0,0], size=d, nTiles=12, color=color4lightgrey)]
330    gDataList += [GraphicsDataCheckerBoard(point=[ w,0,0], normal=[-1,0,0], size=d, nTiles=12, color=color4lightgrey)]
331    gDataList += [GraphicsDataCheckerBoard(point=[0,-h,0], normal=[0,-1,0], size=2*d, size2=d, nTiles=12*2, nTiles2=12, color=color4dodgerblue)]
332    gDataList += [GraphicsDataCheckerBoard(point=[0, h,0], normal=[0, 1,0], size=2*d, size2=d, nTiles=1, color=[0.8,0.8,1,1])]#, alternatingColor=[0.8,0.8,1,1])]
333    # gDataList += [GraphicsDataCheckerBoard(point=[0, 0,h], normal=[0, 0,-1], size=d, nTiles=1, color=[0.8,0.8,0.8,0.9])]
334
335    oGround=mbs.AddObject(ObjectGround(referencePosition= [0,0,0],
336                                   visualization=VObjectGround(graphicsData=gDataList)))
337
338
339    def PreStepUF(mbs, t):
340        u = mbs.systemData.GetODE2Coordinates()
341
342        if not fixedSpeed and t >= 1: #at this point, the mechanism runs freely
343            mbs.SetObjectParameter(oRotationConstraint, 'activeConnector', False)
344
345        #mbs.systemData.SetODE2Coordinates(u)
346        return True
347
348    mbs.SetPreStepUserFunction(PreStepUF)
349
350
351    mbs.Assemble()
352
353    stepSize = 0.002
354    simulationSettings = exu.SimulationSettings() #takes currently set values or default values
355
356    simulationSettings.timeIntegration.numberOfSteps = int(tEnd/stepSize)
357    simulationSettings.timeIntegration.endTime = tEnd
358    # simulationSettings.timeIntegration.newton.relativeTolerance = 1e-8*0.01
359    # simulationSettings.timeIntegration.newton.absoluteTolerance = 1e-10*0.01
360    simulationSettings.timeIntegration.verboseMode = 1
361
362    # simulationSettings.timeIntegration.simulateInRealtime = True
363
364    simulationSettings.solutionSettings.solutionWritePeriod=0.01
365    simulationSettings.solutionSettings.sensorsWritePeriod = stepSize*10
366    simulationSettings.solutionSettings.writeSolutionToFile = False
367    #simulationSettings.solutionSettings.writeInitialValues = False #otherwise values are duplicated
368    #simulationSettings.solutionSettings.coordinatesSolutionFileName = 'solution/coordinatesSolution.txt'
369
370    simulationSettings.timeIntegration.generalizedAlpha.computeInitialAccelerations = False
371
372    simulationSettings.timeIntegration.generalizedAlpha.lieGroupAddTangentOperator = False
373    #simulationSettings.displayStatistics = True
374    # simulationSettings.displayComputationTime = True
375    simulationSettings.linearSolverType=exu.LinearSolverType.EigenSparse
376
377    #SC.visualizationSettings.nodes.defaultSize = 0.05
378
379    simulationSettings.solutionSettings.solutionInformation = "Engine"
380
381    SC.visualizationSettings.general.graphicsUpdateInterval = 0.01
382    #SC.visualizationSettings.general.drawWorldBasis = True
383    #SC.visualizationSettings.general.worldBasisSize = 0.1
384
385    SC.visualizationSettings.markers.show = False
386    SC.visualizationSettings.loads.show = False
387    SC.visualizationSettings.nodes.show = False
388    SC.visualizationSettings.connectors.show = False
389
390    SC.visualizationSettings.openGL.multiSampling = 4
391    SC.visualizationSettings.openGL.shadow = 0.3 #set to 0, if your graphics card cannot handle this!
392    SC.visualizationSettings.openGL.lineWidth = 3
393    SC.visualizationSettings.openGL.light0position = [0.25,1,3,0]
394
395    #++++++++++++++++++++++++++++++++
396    #openVR:
397    SC.visualizationSettings.general.drawCoordinateSystem = False
398    #good for openVR
399    SC.visualizationSettings.general.graphicsUpdateInterval = 0.005 #small enough to get large enough fps
400    simulationSettings.timeIntegration.simulateInRealtime = True
401
402    useOpenVR = False #set this true for openVR to run!!!
403    SC.visualizationSettings.window.renderWindowSize=[1176, 1320] # this needs to fit to your VR HMD (Head Mounted Display) settings (will show in console when openVR is started and openVR.logLevel is large enough!)
404    if useOpenVR:
405        SC.visualizationSettings.openGL.initialZoom = 1# 0.4*20 #0.4*max scene size
406        #SC.visualizationSettings.openGL.initialCenterPoint = [0,0,2]
407        SC.visualizationSettings.general.autoFitScene = False
408        SC.visualizationSettings.window.limitWindowToScreenSize = False #this allows a larger window size than your monitor can display in case!
409        SC.visualizationSettings.window.startupTimeout = 100000 #if steam / VRidge, etc. not found
410        SC.visualizationSettings.interactive.openVR.enable = True
411        SC.visualizationSettings.interactive.lockModelView = True #lock rotation/translation/zoom of model
412        SC.visualizationSettings.interactive.openVR.logLevel = 3
413        SC.visualizationSettings.interactive.openVR.actionManifestFileName = "C:/DATA/cpp/DocumentationAndInformation/openVR/hellovr_actions.json"
414
415    #%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
416
417
418    SC.visualizationSettings.general.autoFitScene = False #use loaded render state
419    exu.StartRenderer()
420    cws = SC.GetRenderState()['currentWindowSize']
421    print('window size=', cws, '(check that this is according to needs of Head Mounted Display)')
422    # if 'renderState' in exu.sys:
423    #     SC.SetRenderState(exu.sys[ 'renderState' ])
424
425    mbs.SolveDynamic(simulationSettings)
426
427    exu.StopRenderer() #safely close rendering window!