2. Continuous Systems – PDEs and Solution

  1. Debasish Roy1 and
  2. G Visweswara Rao2

Published Online: 3 SEP 2012

DOI: 10.1002/9781118360989.ch2

Elements of Structural Dynamics: A New Perspective

Elements of Structural Dynamics: A New Perspective

How to Cite

Roy, D. and Rao, G. V. (2012) Continuous Systems – PDEs and Solution, in Elements of Structural Dynamics: A New Perspective, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781118360989.ch2

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:

  • continuous systems – PDEs and solution;
  • some continuous systems and PDEs;
  • a taut string – the one-dimensional wave equation;
  • Euler–Bernoulli beam, the 1D biharmonic wave equation;
  • equations of motion for 2D plate by classical plate theory;
  • PDEs and general solution;
  • solution to linear homogeneous PDEs;
  • orthonormal basis and eigenfunction expansion;
  • solution to nonself-adjoint continuous systems

Summary

This chapter contains sections titled:

  • Introduction

  • Some Continuous Systems and PDEs

  • PDEs and General Solution

  • Solution to Linear Homogeneous PDEs – Method of Separation of Variables

  • Orthonormal Basis and Eigenfunction Expansion

  • Solutions of Inhomogeneous PDEs by Eigenfunction-Expansion Method

  • Solutions of Inhomogeneous PDEs by Green's Function Method

  • Solution of PDEs with Inhomogeneous Boundary Conditions

  • Solution to Nonself-adjoint Continuous Systems

  • Conclusions

  • Exercises

  • Notations

  • References

  • Bibliography