This investigation concerns itself with the dynamic and stress analysis of thin, laminated composite plates consisting of layers of orthotropic laminae. It is assumed that the bonds between the laminae are infinitesimally thin and shear nondeformable. The finite element formulation presented is sufficiently general to accept an arbitrary number of layers and an arbitrary number of orthotropic material property sets. In the dynamic formulation presented, the laminae is assumed to undergo large arbitrary rigid body displacements and small elastic deformations. The nodal shape functions of the laminae are assumed to have rigid body modes that need to describe only large rigid body translations. Using the expressions for the kinetic and strain energies, the lamina mass and stiffness matrices are identified. The nonlinear mass matrix of the lamina is expressed in terms of a set of invariants that depend on the assumed displacement field. By summing the laminae kinetic and strain energies, the body mass and stiffness matrices are identified. It is shown that the body invariants can be expressed explicitly in terms of the invariants of its laminae. Numerical examples of a spatial RSSR mechanism are presented in order to demonstrate the use of the present formulation.
Skip Nav Destination
Article navigation
September 1994
Research Papers
Application of Composite Plate Theory and the Finite Element Method to the Dynamics and Stress Analysis of Spatial Flexible Mechanical Systems
J. M. Kremer,
J. M. Kremer
Department of Mechanical Engineering, University of Illinois at Chicago, Chicago, IL 60680
Search for other works by this author on:
A. A. Shabana,
A. A. Shabana
Department of Mechanical Engineering, University of Illinois at Chicago, Chicago, IL 60680
Search for other works by this author on:
G. E. O. Widera
G. E. O. Widera
Department of Mechanical and Industrial Engineering, Marquette University, Milwaukee, WI 53233
Search for other works by this author on:
J. M. Kremer
Department of Mechanical Engineering, University of Illinois at Chicago, Chicago, IL 60680
A. A. Shabana
Department of Mechanical Engineering, University of Illinois at Chicago, Chicago, IL 60680
G. E. O. Widera
Department of Mechanical and Industrial Engineering, Marquette University, Milwaukee, WI 53233
J. Mech. Des. Sep 1994, 116(3): 952-960 (9 pages)
Published Online: September 1, 1994
Article history
Received:
October 1, 1992
Revised:
May 1, 1993
Online:
June 2, 2008
Citation
Kremer, J. M., Shabana, A. A., and Widera, G. E. O. (September 1, 1994). "Application of Composite Plate Theory and the Finite Element Method to the Dynamics and Stress Analysis of Spatial Flexible Mechanical Systems." ASME. J. Mech. Des. September 1994; 116(3): 952–960. https://doi.org/10.1115/1.2919475
Download citation file:
Get Email Alerts
Cited By
Related Articles
Finite Element Analysis of Shear Deformable Laminated Composite Plates
J. Energy Resour. Technol (March,1993)
Vibrations of an Incompressible Linearly Elastic Plate Using Discontinuous Finite Element Basis Functions for Pressure
J. Vib. Acoust (October,2019)
Mechanical Behavior of Random Fiber Composite Perforated Plates
J. Pressure Vessel Technol (April,2010)
On the Effects of Residual Stress in Microindentation Tests of Soft Tissue Structures
J Biomech Eng (April,2004)
Related Proceedings Papers
Related Chapters
Introduction and Definitions
Handbook on Stiffness & Damping in Mechanical Design
Data Tabulations
Structural Shear Joints: Analyses, Properties and Design for Repeat Loading
Subsection NB—Class 1 Components
Companion Guide to the ASME Boiler and Pressure Vessel Code, Volume 1, Third Edition