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A Finite Element Model for Viscoelastic Foundations Supporting Plate Structures

In: Numerical Techniques for Engineering Analysis and Design

Author

Listed:
  • Joseph J. Rencis

    (Worcester Polytechnic Institute, Center for Computer-Aided Engineering Mechanical Engineering Department)

  • Kwo-Yih Jong

    (Worcester Polytechnic Institute, Center for Computer-Aided Engineering Mechanical Engineering Department)

  • Sunil Saigal

    (Worcester Polytechnic Institute, Center for Computer-Aided Engineering Mechanical Engineering Department)

Abstract

Summary In this paper a numerical approach for the analysis of elastic plate on viscoelastic foundations is developed. The effects of foundation responses are introduced by an analogy to mechanical plate vibrations. The differential and integral types of viscoelastic foundation responses are formulated by particular forms of finite difference equations to analyze the time effects. The structural responses are modeled by the finite element displacement method. The present method combines these two formulations for the response of elastic plates on visco- elastic foundations. The technique is validated by comparing the finite element results to the analytical solution of an infinite elastic beam on a Kelvin foundation. Numerical results are also included for a simply supported elastic plate on Maxwell and Kelvin foundations.

Suggested Citation

  • Joseph J. Rencis & Kwo-Yih Jong & Sunil Saigal, 1987. "A Finite Element Model for Viscoelastic Foundations Supporting Plate Structures," Springer Books, in: G. N. Pande & J. Middleton (ed.), Numerical Techniques for Engineering Analysis and Design, chapter 0, pages 225-235, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-3653-9_26
    DOI: 10.1007/978-94-009-3653-9_26
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