## Mechanical Impact Dynamics: Rigid Body Collisions |

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### Contents

POINTMASS COLLISIONS IN A PLANE | 17 |

RESTITUTION FRICTION AND ENERGY LOSS | 35 |

THREEDIMENSIONAL PARTICLE COLLISIONS | 61 |

PLANAR RIGID BODY COLLISIONS | 69 |

PLANAR BARRIER COLLISIONS | 97 |

THREEDIMENSIONAL IMPACT OF RIGID BODIES | 147 |

PLANAR IMPACT OF LINKAGES | 161 |

VIBRATORY IMPACT | 189 |

APPLICATION TO VEHICLE COLLISIONS | 223 |

259 | |

### Common terms and phrases

analysis angle angular velocity applications approach appropriate assumption axis ball barrier become bouncing Chapter coefficient of restitution collision considered constant constraint coordinate corresponding curve defined deformation depends determine developed direction discussed duration dynamics effects elastic ends energy loss equal estimate example exist experimental expression Figure final velocities force frequency friction friction coefficient given gives illustrated impact impulse ratio included increase indicated initial velocities kinetic energy known limit linear mass material measured Mechanical moment momentum motion negative normal Note occurs parameters particle periodic phase physical planar plane plate point-mass position presented problem relative relative tangential represent respectively rigid body rotational separation shown shows sliding solution equations solved sphere surface system equations Table tangential velocity tion trajectories typically unknowns values vehicle velocity changes velocity components zero