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Structural Dynamics and Vibration in Practice by Douglas Thorby

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3

The Linear Single Degree of Freedom System: Response in the Time Domain

Chapter 2 looked at how the differential equations of motion of linear single-DOF systems can be set up, and how the free and forced response can be found by direct solution of those equations, using classical mathematics. This method is not only tedious in use, as has been seen, but also requires the forcing function to be analytic, and the system to be linear. In this chapter, therefore, additional methods for finding the time or ‘transient’ response of a single-DOF system, more suitable ...

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