Generalized Coordinates and Rayleigh’s Method

  • Mario Paz


In the preceding chapters we concentrated our efforts in obtaining the response to dynamic loads of structures modeled by the simple oscillator, that is, structures which may be analyzed as a damped or undamped spring-mass system. Our plan in the present chapter is to discuss the conditions under which a structural system consisting of multiple interconnected rigid bodies or having distributed mass and elasticity can still be modeled as a one-degree-of-freedom system. We begin by presenting an alternative method to the direct application of Newton’s Law of Motion, the principle of virtual work.


Cantilever Beam Virtual Work Generalize Coordinate Deflection Curve Virtual Displacement 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media Dordrecht 1991

Authors and Affiliations

  • Mario Paz
    • 1
  1. 1.University of LouisvilleUSA

Personalised recommendations