4. Finite Element Method and Structural Dynamics

  1. Debasish Roy1 and
  2. G Visweswara Rao2

Published Online: 3 SEP 2012

DOI: 10.1002/9781118360989.ch4

Elements of Structural Dynamics: A New Perspective

Elements of Structural Dynamics: A New Perspective

How to Cite

Roy, D. and Rao, G. V. (2012) Finite Element Method and Structural Dynamics, in Elements of Structural Dynamics: A New Perspective, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781118360989.ch4

Author Information

  1. 1

    Indian Institute of Science, Bangalore, India

  2. 2

    Bangalore, India

Publication History

  1. Published Online: 3 SEP 2012
  2. Published Print: 14 AUG 2012

ISBN Information

Print ISBN: 9781118339626

Online ISBN: 9781118360989

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Keywords:

  • finite element method and structural dynamics;
  • weak formulation of PDEs;
  • well-posedness of the weak form;
  • uniqueness and stability of solution to weak form;
  • numerical integration by Gauss quadrature;
  • element-wise representation of the weak form and the FEM;
  • application of the FEM to 2D problems;
  • membrane vibrations and FEM;
  • FEM and error estimates

Summary

This chapter contains sections titled:

  • Introduction

  • Weak Formulation of PDEs

  • Element-Wise Representation of the Weak Form and the FEM

  • Application of the FEM to 2D Problems

  • Higher Order Polynomial Basis Functions

  • Some Computational Issues in FEM

  • FEM and Error Estimates

  • Conclusions

  • Exercises

  • Notations

  • References

  • Bibliography