1. Structural Dynamics and Mathematical Modelling

  1. Debasish Roy1 and
  2. G Visweswara Rao2

Published Online: 3 SEP 2012

DOI: 10.1002/9781118360989.ch1

Elements of Structural Dynamics: A New Perspective

Elements of Structural Dynamics: A New Perspective

How to Cite

Roy, D. and Rao, G. V. (2012) Structural Dynamics and Mathematical Modelling, in Elements of Structural Dynamics: A New Perspective, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781118360989.ch1

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



  • structural dynamics and mathematical modelling;
  • rigid bodies and dynamic equations of motion;
  • principle of virtual work;
  • Lagrangian equations of motion;
  • dynamic equilibrium equations, Newton's Force Balance;
  • equations of motion by Reynolds transport theorem;
  • mass conservation;
  • linear momentum conservation


This chapter contains sections titled:

  • Introduction

  • System of Rigid Bodies and Dynamic Equations of Motion

  • Continuous Dynamical Systems and Equations of Motion from Hamilton's Principle

  • Dynamic Equilibrium Equations from Newton's Force Balance

  • Equations of Motion by Reynolds Transport Theorem

  • Conclusions

  • Exercises

  • Notations

  • References

  • Bibliography