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physics.class-phNov 4, 2013
8
citations (OpenAlex)
authors
  • Eli Hanukah
arXiv abstractPDF
paper

A new closed-form model for isotropic elastic sphere including new solutions for the free vibrations problem

arXiv:1311.0741

Abstract

We develop a new closed-form model for the dynamics of an elastic and isotropic sphere and use it to derive new closed-form resonant frequencies.

Cited by in corpus (7)

  • Development of a higher order closed-form model for isotropic hyperelastic cylindrical body, including small vibration problem
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  • Consistent mass matrix of ten nodes tetrahedral element based on analytical integration
  • Exact integration scheme for six-node wedge element mass matrix
  • Mass Matrix Integration Scheme for Fifteen-node Wedge Element
  • On Semi-Analytical Integration Specified for Mass Matrix of Finite Elements
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