Applied Scientific Research, Section A

, Volume 11, Issue 1, pp 13–16 | Cite as

Longitudinal vibrations of a conical bar

  • Václav Vodička


The present paper considers longitudinal vibrations of a homogeneous truncated cone. This is probably one of the few cases relating to vibrating rods of variable cross-section, where it is possible to give an exact solution instead of using the well-known laborious approximate procedures.

In what follows we apply classical methods, although the problem in question could be treated also by means of the Laplace transformation.


Exact Solution Classical Method Longitudinal Axis Arbitrary Constant Laplace Transformation 


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Copyright information

© Martinus Nijhoff, The Hague/Kluwer Academic Publishers 1963

Authors and Affiliations

  • Václav Vodička
    • 1
  1. 1.PlzeňCzechoslovakia

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