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pure and applied geophysics

, Volume 97, Issue 1, pp 100–110 | Cite as

On the dynamic response of an infinite Bernoulli-Euler beam

  • John P. Sheehan
  • Lokenath Debnath
Article

Summary

This paper presents a theory of the transient Bernoulli-Euler beam problem on an elastic foundation which takes into account the effects of axial load and linear damping. An analytical solution of the steady state and the transient components has been obtained due to physically realistic load distributions. With a view to extend its practical applicability, the characteristic features of the solution are explored. Several limiting situations are investigated as special cases. It is shown that the steady state vibration can be achieved as the limit of the solution of the transient problem.

Keywords

Steady State Characteristic Feature Dynamic Response Axial Load Load Distribution 
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.

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Copyright information

© Birkhäuser Verlag 1972

Authors and Affiliations

  • John P. Sheehan
  • Lokenath Debnath
    • 1
  1. 1.Mathematics DepartmentEast Carolina UniversityGreenvilleU.S.A.

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