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The Wave Field of a Twice-Truncated Elastic Cone Under Torsion Moment Impact

  • K. MysovEmail author
  • N. Vaysfel’d
Conference paper
Part of the Structural Integrity book series (STIN, volume 8)

Abstract

The problem of an elastic twice-truncated cone wave field estimation is considered for a steady state torsional oscillations. The G. Ya. Popov integral transformation with regard to an angular coordinate is applied. It allows the reduction of the original problem to a one-dimensional boundary value problem in the transformation’s domain. The solution of this boundary value problem is derived in an explicit form. The dependence of the eigenfrequencies on the cone’s geometric parameters is investigated.

Keywords

Twice truncated cone Steady state torsional oscillations G. ya. popov integral transformation 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Physics and ITOdesa Mechnikov UniversityOdesaUkraine

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