Appendix 4
Application of MATLAB Software for Numerical Solutions in Engineering Analysis
Contributed by Vaibhav Tank
As described in Section 10.6.2, the MATLAB software package offered by The MathWorks, Inc. provides a powerful environment for numerical computations, visualization, and programming for engineers in their engineering analyses. Engineers may use this software package to quickly solve complex mathematical problems, analyze data, and develop algorithms, which would otherwise be extremely tedious to solve using traditional methods. This appendix will present three case examples to illustrate how MATLAB can be used to solve different types of problems in engineering analysis with a detailed description of the input/output procedures for using this software package. These selected cases are related to the examples in various chapters of the book.
The author of this book and the contributor of this appendix would like to express their appreciation to The San Jose State University for providing them the access to a late version of MATLAB R2015a used to solve the following three cases:
Case 1: Plot the instantaneous amplitudes of a vibrating mass y(t) in Equation 8.40 in Chapter 8, where t is the time after the inception of the vibration in a near-resonant vibration situation illustrated in Figure 8.24.
The solution of the instantaneous amplitudes of the vibrating mass M subjected to a cyclic force with circular excitation frequency ω is expressed as:
where ...
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