Advertisement

Thermoelastic Stability

  • Heinz Parkus

Abstract

A very simple example of thermoelastic stability — thermal buckling of a rectangular plate — has been treated in Section 4.10. The solution of the problem was based there on the approximate solution of the governing differential equation. An entirely different approach will now be presented in this chapter. It is known as Lyapunov’s direct (or second) method. The advantage of this method is that it is not necessary to explicitly solve the differential equation which, particularly in nonlinear problems, may be a difficult task. The method also provides a deeper insight into the philosophy of the problem. On the other hand, the construction of the Lyapunov functional may be quite complicated.

Keywords

Helmholtz Free Energy Column Stability Governing Differential Equation Thermal Buckling Thermoelastic System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag/Wien 1976

Authors and Affiliations

  • Heinz Parkus
    • 1
  1. 1.Technical UniversityViennaAustria

Personalised recommendations