Mechanical Vibrations: Theory and Practice

6

Transverse Vibrations

6.1 INTRODUCTION

We have until now dealt with discrete systems where it was assumed that the mass (inertia), damping (dissipation), and elasticity (springs) are present at certain discrete points in the system. For example, as explained earlier, a three-storey building [Fig. 6.1(a)] is idealized as a three-mass-and-three-spring system [Fig. 6.1(b)].

Under the idealization concept, the inertia of the system is assumed to be concentrated as a three-point mass located at the floor levels and the elasticities of supporting columns are idealized as massless springs. This sort of idealization, many a times, proves reasonably acceptable, since the results of computed natural frequencies and the mode shapes do not greatly differ ...