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Finite amplitude vibrations of a Mooney-Rivlin oscillator

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Publication:1110369
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DOI10.1007/BF00251496zbMath0656.73008MaRDI QIDQ1110369

Alan C. Chow, Millard F. jun. Beatty

Publication date: 1988

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)


zbMATH Keywords

compressionMooney-Rivlin materialrubber springsupportedarbitrary initial datageneral elliptic integralsneo- Hookean materialperiodic form solutionsimple bounds on period of finite motionsuspendeduniaxial motion


Mathematics Subject Classification ID

Nonlinear elasticity (74B20)


Related Items (4)

Coupled shear-torsional motion of a rubber support system ⋮ On the geometric and analytical properties of the anharmonic oscillator ⋮ Small-amplitude superimposed horizontal motion of a load supported symmetrically by rubber springs ⋮ Poynting oscillations of a rigid disk supported by a neo-Hookean shaft



Cites Work

  • Unnamed Item
  • Free vibrations of a loaded rubber string
  • Finite amplitude oscillations of a simple rubber support system
  • Finite amplitude, periodic motion of a body supported by arbitrary isotropic, elastic shear mountings
  • Finite Amplitude Vibrations of a Body Supported by Simple Shear Springs
  • Finite amplitude vibrations of a neo-Hookean oscillator


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