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Vibration Under General Forcing Condition

In our previous lectures, we considered the response of SDOF systems subjected to harmonic excitation.<br>However, many practical systems are subjected to several types of forcing functions that are not harmonic. <br>The general forcing functions may be periodic (nonharmonic) or nonperiodic. <br>The nonperiodic forces include forces such as a suddenly applied constant force (called a step force), a linearly increasing force (called a ramp force), and an exponentially varying force. <br>A nonperiodic forcing function may be acting for a short, long, or infinite duration. <br>A forcing function or excitation of a short duration compared to the natural time period of the system is called a shock.

Semayat
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Vibration Under General Forcing Condition

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  1. MECHANICAL VIBRATIONS?FREE ONLINE LECTURE-9? Vibration Under General Forcing Condition ? Semayat Fanta (PhD Scholar) @IIT Kanpur Department of Aerospace Engineering Click to Edit Sub Title

  2. Learning Objectives After completing this topic, you should be able to: Find the responses of single-degree-of-freedom systems subjected to general periodic forces using Fourier series. * Use the method of convolution integral to solve vibration problems of systems subjected to arbitrary forces. * Find the response of systems subjected to earthquakes using response spectra. * Solve undamped and damped systems subjected to arbitrary forces, including impulse, step, and ramp forces, using Laplace transform. * Understand the characteristics of transient response, such as peak time, overshoot, settling time, rise time, and decay time, and procedures for their estimation. * Apply numerical methods to solve vibration problems of systems subjected to forces that are described numerically.

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