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/* -------------------------------------------------------------------------- *
* Simbody(tm) *
* -------------------------------------------------------------------------- *
* This is part of the SimTK biosimulation toolkit originating from *
* Simbios, the NIH National Center for Physics-Based Simulation of *
* Biological Structures at Stanford, funded under the NIH Roadmap for *
* Medical Research, grant U54 GM072970. See https://simtk.org/home/simbody. *
* *
* Portions copyright (c) 2006-12 Stanford University and the Authors. *
* Authors: Michael Sherman *
* Contributors: *
* *
* Licensed under the Apache License, Version 2.0 (the "License"); you may *
* not use this file except in compliance with the License. You may obtain a *
* copy of the License at http://www.apache.org/licenses/LICENSE-2.0. *
* *
* Unless required by applicable law or agreed to in writing, software *
* distributed under the License is distributed on an "AS IS" BASIS, *
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. *
* See the License for the specific language governing permissions and *
* limitations under the License. *
* -------------------------------------------------------------------------- */
#include "SimTKsimbody.h"
#include <cmath>
#include <cstdio>
#include <exception>
#include <vector>
using namespace std;
using namespace SimTK;
static const Real Deg2Rad = (Real)SimTK_DEGREE_TO_RADIAN,
Rad2Deg = (Real)SimTK_RADIAN_TO_DEGREE;
static const Transform GroundFrame;
static const Real m = 5; // kg
static const Real g = 9.8; // meters/s^2; apply in y direction
static const Real d = 0.5; // meters
int main(int argc, char** argv) {
try { // If anything goes wrong, an exception will be thrown.
MultibodySystem mbs; mbs.setUseUniformBackground(true);
GeneralForceSubsystem forces(mbs);
SimbodyMatterSubsystem pend(mbs);
DecorationSubsystem viz(mbs);
Force::UniformGravity gravity(forces, pend, Vec3(0, -g, 0));
MobilizedBody::Ball connector(pend.Ground(),
Transform(1*Vec3(0, 0, 0)),
MassProperties(1, Vec3(0,0,0), Inertia(10,20,30)),
Transform(1*Vec3(0, .5, 0)));
connector.setDefaultRadius(0.05); // for the artwork
//connector.setDefaultRotation( Rotation(Pi/4, Vec3(0,0,1) );
const Real m1 = 5;
const Real m2 = 1;
const Real radiusRatio = std::pow(m2/m1, 1./3.);
const Vec3 weight1Location(0, 0, -d/2); // in local frame of swinging body
const Vec3 weight2Location(0, 0, d/2); // in local frame of swinging body
const Vec3 COM = (m1*weight1Location+m2*weight2Location)/(m1+m2);
const MassProperties swingerMassProps
(m1+m2, COM, 1*Inertia(1,1,1) + m1*UnitInertia::pointMassAt(weight1Location)
+ m2*UnitInertia::pointMassAt(weight2Location));
MobilizedBody::Screw swinger(connector,
Transform( Rotation( 0*.7, Vec3(9,8,7) ),
1*Vec3(0,-.5,0)),
swingerMassProps,
Transform( Rotation(0*1.3, Vec3(0,0,1) ),
COM+0*Vec3(0,0,3)), // inboard joint location
0.3); // pitch
// Add a blue sphere around the weight.
viz.addBodyFixedDecoration(swinger, weight1Location,
DecorativeSphere(d/8).setColor(Blue).setOpacity(.2));
viz.addBodyFixedDecoration(swinger, weight2Location,
DecorativeSphere(radiusRatio*d/8).setColor(Green).setOpacity(.2));
viz.addRubberBandLine(GroundIndex, Vec3(0),
swinger, Vec3(0),
DecorativeLine().setColor(Blue).setLineThickness(10)
.setRepresentation(DecorativeGeometry::DrawPoints));
//forces.addMobilityConstantForce(swinger, 0, 10);
Force::ConstantTorque(forces, swinger, Vec3(0,0,10));
//forces.addConstantForce(swinger, Vec3(0), Vec3(0,10,0));
//forces.addConstantForce(swinger, Vec3(0,0,0), Vec3(10,10,0)); // z should do nothing
//forces.addMobilityConstantForce(swinger, 1, 10);
// forces.addMobilityConstantForce(swinger, 2, 60-1.2);
State s = mbs.realizeTopology(); // define appropriate states for this System
pend.setUseEulerAngles(s, true);
mbs.realizeModel(s);
mbs.realize(s);
// Create a study using the Runge Kutta Merson integrator
RungeKuttaMersonIntegrator myStudy(mbs);
myStudy.setAccuracy(1e-6);
// This will pick up decorative geometry from
// each subsystem that generates any, including of course the
// DecorationSubsystem, but not limited to it.
Visualizer display(mbs);
const Real expectedPeriod = 2*Pi*std::sqrt(d/g);
printf("Expected period: %g seconds\n", expectedPeriod);
const Real dt = 1./30; // output intervals
const Real finalTime = 1*expectedPeriod;
for (Real startAngle = 10; startAngle <= 90; startAngle += 10) {
s = mbs.getDefaultState();
connector.setQToFitRotation(s, Rotation(Pi/4, Vec3(1,1,1)) );
printf("time theta energy *************\n");
swinger.setQToFitTransform(s, Transform( Rotation( BodyRotationSequence, 0*Pi/2, XAxis, 0*Pi/2, YAxis ), Vec3(0,0,0) ));
swinger.setUToFitVelocity(s, SpatialVec(0*Vec3(1.1,1.2,1.3),Vec3(0,0,-1)));
s.updTime() = 0;
myStudy.initialize(s);
cout << "MassProperties in B=" << swinger.expressMassPropertiesInAnotherBodyFrame(myStudy.getState(),swinger);
cout << "MassProperties in G=" << swinger.expressMassPropertiesInGroundFrame(myStudy.getState());
cout << "Spatial Inertia =" << swinger.calcBodySpatialInertiaMatrixInGround(myStudy.getState());
int stepNum = 0;
for (;;) {
// Should check for errors and other interesting status returns.
myStudy.stepTo(myStudy.getTime() + dt);
const State& s = myStudy.getState(); // s is now the integrator's internal state
if ((stepNum++%10)==0) {
// This is so we can calculate potential energy (although logically
// one should be able to do that at Stage::Position).
mbs.realize(s, Stage::Dynamics);
cout << s.getTime() << ": E=" << mbs.calcEnergy(s)
<< " connector q=" << connector.getQ(s)
<< ": swinger q=" << swinger.getQ(s) << endl;
// This is so we can look at the UDots.
mbs.realize(s, Stage::Acceleration);
cout << "q =" << pend.getQ(s) << endl;
cout << "u =" << pend.getU(s) << endl;
cout << "ud=" << pend.getUDot(s) << endl;
cout << "Connector V=" << connector.getMobilizerVelocity(s) << endl;
cout << "Swinger V=" << swinger.getMobilizerVelocity(s) << endl;
const Rotation& R_MbM = swinger.getMobilizerTransform(s).R();
Vec4 aaMb = R_MbM.convertRotationToAngleAxis();
cout << "angle=" << aaMb[0] << endl;
cout << "axisMb=" << aaMb.drop1(0) << endl;
cout << "axisMb=" << ~R_MbM*aaMb.drop1(0) << endl;
}
display.report(s);
if (s.getTime() >= finalTime)
break;
}
}
}
catch (const exception& e) {
printf("EXCEPTION THROWN: %s\n", e.what());
exit(1);
}
}
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