Dynamics of structures with MATLAB® applications

Chapter 13

Nonlinear Analysis of Structures

13.1 INTRODUCTION

The concept of nonlinear behaviour of structures and the availability of considerable energy in the post-elastic region is more than a century old. Although the linear elastic analysis and design methods are well established, nonlinear inelastic analysis techniques and their application to design are still evolving. Why do we need a nonlinear analysis? The answer lies in the fact that under an extreme probable loading, it is no longer advisable to keep the structure elastic due to economical considerations. It is expected that a lot of cross-sections in various beams, columns and walls will yield and may develop plastic hinges and dissipate energy. A nonlinear analysis requires ...