March 2016
Beginner to intermediate
672 pages
16h 49m
English
Content preview from Dynamics of structures with MATLAB® applicationsBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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Chapter 4
Single Degree of Freedom System: Periodic Loading
4.1 INTRODUCTION
Sometimes it is very difficult to express dynamic loading in terms of an equation. If this loading happens to be periodic as shown in Figure 4.1, then it is possible to express it in the form of Fourier trigonometric series. Each term of the Fourier series represents a harmonic component. The response of a SDOF system due to harmonic loading has already been computed earlier. The response to each term of the series is then merely the response to a harmonic loading, and by the principle of superposition the total response is sum of response of each individual harmonic term. The response of a SDOF system to a periodic loading is examined with the help of Fourier series. ...
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