10.3 DYNAMICS WITH FINITE ELEMENT METHOD

10.3.1 Introduction

In the earlier chapters, it was assumed that the loads on the structure are static and do not vary with time in the finite element equations [K]{q} = {F}. These equations are accurate enough if the load {F} has a frequency less than one-quarter of the lowest natural frequency of the structure. However, loads due to moving vehicles, machinery, earthquake, blasts and so on have fairly high frequency content. For a structure subjected to any of these loads, it is essential to perform a dynamic analysis and include inertial effects. There is little difficulty in extending the static equilibrium equations to the dynamic case by including mass and damping matrices in the analysis. In the ...

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