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Structural Dynamics and Vibration in Practice by Douglas Thorby

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8

Vibration of Structures

Traditionally, structures have been analysed either as continuous or as discretized (‘lumped’) systems. Some structures, such as uniform beams, can still usefully be treated as continuous systems, but most are now regarded as discrete multi-DOF systems. The finite element method, in fact, can be said to combine both approaches: it is continuous within the elements, but discrete at the global coordinate level.

In this chapter, discussion of continuous systems has been limited to uniform beams, and the classical Rayleigh–Ritz method. A description ...

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