Vibration Simulation Using MATLAB and ANSYS: 1st Edition (Hardback) book cover

Vibration Simulation Using MATLAB and ANSYS

1st Edition

By Michael R. Hatch

Chapman and Hall/CRC

676 pages

Purchasing Options:$ = USD
Hardback: 9781584882053
pub: 2000-09-21

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Transfer function form, zpk, state space, modal, and state space modal forms. For someone learning dynamics for the first time or for engineers who use the tools infrequently, the options available for constructing and representing dynamic mechanical models can be daunting. It is important to find a way to put them all in perspective and have them available for quick reference.

It is also important to have a strong understanding of modal analysis, from which the total response of a system can be constructed. Finally, it helps to know how to take the results of large dynamic finite element models and build small MATLAB® state space models.

Vibration Simulation Using MATLAB and ANSYS answers all those needs. Using a three degree-of-freedom (DOF) system as a unifying theme, it presents all the methods in one book. Each chapter provides the background theory to support its example, and each chapter contains both a closed form solution to the problem-shown in its entirety-and detailed MATLAB code for solving the problem.

Bridging the gap between introductory vibration courses and the techniques used in actual practice, Vibration Simulation Using MATLAB and ANSYS builds the foundation that allows you to simulate your own real-life problems.


  • Demonstrates how to solve real problems, covering the vibration of systems from single DOF to finite element models with thousands of DOF

  • Illustrates the differences and similarities between different models by tracking a single example throughout the book

  • Includes the complete, closed-form solution and the MATLAB code used to solve each problem

  • Shows explicitly how to take the results of a realistic ANSYS finite element model and develop a small MATLAB state-space model

  • Provides a solid grounding in how individual modes of vibration combine for overall system response
  • Table of Contents


    Transfer Function Analysis

    Frequency Response Analysis

    Zeros in SISO Mechanical Systems

    State Space Analysis

    State Space: Frequency Response, Time Domain

    Modal Analysis

    Frequency Response: Modal Form

    Transient Response: Modal Form

    Modal Analysis: State Space Form

    Frequency Response: Modal State Space Form

    Time Domain, Modal State Space Form

    Finite Elements: Stiffness Matrices

    Finite Elements: Dynamics

    SISO State Space MATLAB Model from ANSYS Model

    Ground Acceleration MATLAB Model from ANSYS Model

    SISO Disk Drive Actuator Model

    Balanced Reduction

    MIMO Two-Stage Actuator Model

    Appendix 1: MATLAB and ANSYS Programs

    Appendix 2: Laplace Transforms


    Subject Categories

    BISAC Subject Codes/Headings:
    MATHEMATICS / General
    MATHEMATICS / Applied