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Simple Vibration Problems with MATLAB (and Some Help …

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

wish to show how a vizualization tool like Matlab can be used to aid in solution of vibration problems, and hopefully to provide both the novice and the experi-enced Matlab programmer a few new tricks with which to attack their problems of interest. Matlab (Matrix Laboratory) was born from the LINPACK routines written for use with C and Fortran.

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