Dynamic buckling of a beam with transverse constraints

✍ Scribed by Ingrid Svensson

• Publisher: Springer Netherlands
• Year: 1996
• Tongue: English
• Weight: 1006 KB
• Volume: 11
• Category: Article
• ISSN: 0924-090X
• DOI: 10.1007/bf00045330

✦ Synopsis

A nonlinear dynamic system with continuously distributed mass is studied using several approaches: experimentally, numerically as well as analytically. The nonlinearity of the system consists of geometrical constraints imposed on the motion. It is harmonically loaded and it is demonstrated that for certain choices of the loading parameters, periodic, quasi-periodic or chaotic behaviour may occur depending on the initial conditions. An important issue is to investigate the number of degrees of freedom needed in order to analytically model the system accurately enough that the important characteristics of the motion are retained in the solution. It is found that the impact conditions at the constraints are of crucial importance and a new approach is proposed for modelling of the impacts. The method is based on the fact that the free motion can be approximated with quite a few degrees of freedom, while at impact all the infinite number of degrees of freedom are considered.