文档介绍：Finite Elements in Analysis and Design 38 (2002) 477–502
ate/ÿnel
Linear and nonlinear transient vibration analysis of sti%ened
plate structures
. Sheikh ∗, M. Mukhopadhyay
Department of Ocean Engineering and Naval Architecture, Indian Institute of Technology,
Kharagpur 721 302, India
Abstract
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 de2ection 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 2exibility 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. ? 2002 Elsevier Science .
All rights reserved.
Keywords: Sti%ened plates; Dynamic response; Large deformation; Spline ÿnite strip method
1. Introduction
As a structural member, plates are extensively used in various engineering constructions.
The technique of sti%ening a plate by some members is mon, as it gives higher
strength=weight ratio of the pared to a bare plate having same material. This
has made the structure much more attractive in practice. The occurrence of any arbitrary time
varying loading on such a structure is mon. Again, the magnitude of such loading