Nonlinear Dynamic Structures

Nonlinear Analysis of Truss Structures Using Dynamic Relaxation (RESEARCH NOTE)

This paper presents a new approach for large-deflection analysis of truss structures employing the Dynamic Relaxation method (DR). The typical formulation for DR has been established utilizing the finite difference technique which is categorized as an explicit method. The special characteristic of the explicit method is its simple algebraic relationships in comparison with complicated matrix op...

Dynamic testing of nonlinear vibrating structures using nonlinear normal modes

ll rights reserved. +3243669505. s), [email protected] (G. Kerschen), [email protected] (J.C. Golinval). Finite element model ̈ M x (t)+ Kx (t) + fnl {x (t)} = 0 0 2 4 6 8 10 −100 −50 0 50 100 Time (s) A cc . ( m /s 2 ) Numerical NNM computation Experimental NNM extraction NNM frequencies NNM modal curves Experimental response (time series) Fig. 1. Theoretical and experimental nonlinear m...

Seismic Design of Steel Structures Based on Ductility and Incremental Nonlinear Dynamic Analysis

In this paper a simple tool for seismic design of steel structures for a selected ductility level is presented. For this purpose, a consistent set of earthquakes is selected and sorted based on the maximum acceleration of ground surface. The selected records are applied as the base motion to a single-degree-of-freedom system with strain hardening and the maximum response acceleration is determi...

Dynamic Response of Linear/Nonlinear Laminated Structures Containing Piezoelectric Laminas

We use the three-dimensional linear theory of elasticity to analyse the steady state vibrations of a simply supported rectangular linear elastic laminated plate with embedded PZT layers. Some of these PZT layers act as actuators while the remaining act as sensors. It is assumed that there is perfect bonding between different layers. Numerical results for a thin and a thick plate containing one ...

Techniques in the Nonlinear Dynamic Analysis of Seismic Isolated Structures