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Simple Vibration Problems with MATLAB (and ... - Routledge

Simple Vibration Problems with MATLAB (andSome Help from MAPLE)Original Version by Stephen KuchnickiDecember 7, 2009 ContentsPrefaceix1 Introduction12 SDOF Undamped Oscillation33 A Damped SDOF System114 Overdamped SDOF Oscillation175 Harmonic Excitation of Undamped SDOF Systems236 Harmonic Forcing of Damped SDOF Systems337 Base Excitation of SDOF Systems398 SDOF Systems with a Rotating Unbalance519 Impulse Response of SDOF Systems6110 Step Response of a SDOF System6711 Response of SDOF Systems to Square Pulse Inputs7712 Response of SDOF System to Ramp Input8913 SDOF Response to Arbitrary Periodic Input9514 Free Vibration of mdof Systems10115 Damping of mdof Systems11316 A Universal Vibration Solver12317 Modeling a van der Pol Oscillator13318 Random Vibration

15 Damping of MDOF Systems 113 16 A Universal Vibration Solver 123 17 Modeling a van der Pol Oscillator 133 18 Random Vibration and Matlab 141 v. vi CONTENTS 19 Randomly-Excited Du¢ ng Oscillator 149 20 Monte Carlo Simulation of a Random System 157 21 Conclusion 165. Preface

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