Linear and nonlinear transient vibration analysis of stiffened plate structures

✍ Scribed by A.H. Sheikh; M. Mukhopadhyay

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 352 KB
• Volume: 38
• Category: Article
• ISSN: 0168-874X
• DOI: 10.1016/s0168-874x(01)00081-6

✦ Synopsis

The spline ÿnite strip method has been applied to linear and nonlinear transient vibration analysis of plates and sti ened plates. In this method, spline functions have been used as the displacement interpolation functions in one direction while ÿnite element shape functions have been used for that in the other direction. The von Karman's large de ection plate theory has been used and the formulation has been done in total Lagrangian coordinate system. The governing equations have been solved by the Newton-Raphson iteration technique where Newmark's method has been used for the time integration. The sti ener has been elegantly modelled so that it may lie anywhere within the plate strip, which helps to increase the exibility in mesh generation. The formulation has been generalised to cater plates having arbitrary shapes and sti eners having arbitrary orientation and eccentricity. Examples of sti ened and unsti ened plates under di erent loading history as available in the literature have been solved to study the performance and range of applicability of the proposed method.