O'Reilly logo

Dynamics of structures with MATLAB® applications by Ashok K. Jain

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Chapter 11

Systems with Distributed Mass and Elasticity

11.1 INTRODUCTION

In the previous chapters, we have discussed the dynamics of discrete single degree of freedom (SDOF) and two-DOF systems. There are situations when it is required to determine the vibration characteristics of a system with distributed mass and elasticity or a continuum system such as a chimney or a flexure member having different boundary conditions. The mass and elasticity or stiffness of such systems are distributed along their length. The variation of mass and stiffness may be uniformly distributed or uniformly varying. The dynamic behaviour of a rod, tightly held across a length L, and having a uniform mass, is the simplest example of such a problem. Such a system ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required