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Mechanical Vibrations: Theory and Practice by Shrikant Bhave

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4

Multi Degrees-of-Freedom Systems

4.1 INTRODUCTION

Most engineering systems are continuous and, have in theory, infinite degrees-of-freedom. However, as shown in previous chapters, many of them can be idealized as discrete spring–mass–damper system with reasonable accuracy. Whereas continuous systems require solution of complex partial differential Equations, modelling them by a single or two degrees-of-freedom system greatly simplifies the study of their behaviour/response to the given perturbation force. One may also note and appreciate the fact that no closed form solutions exist for many partial differential Equations.

We now extend the concepts of previous chapter to a higher degree of modelling so that we come quite close to the continuous ...

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