Poynting oscillations of a rigid disk supported by a neo-Hookean shaft

DOI10.1007/BF00115557zbMath0738.73023MaRDI QIDQ1179777

Ranjan Bhattacharyya, Millard F. jun. Beatty

Publication date: 27 June 1992

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

Hill's equationstability mapsfinite amplitudeuniversal stabilityaxial and torsional oscillationsneo-Hookean and Mooney-Rivlin shaftspretwisted neo-Hookean shaftuniaxial vibrations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Related Items (2)

Coupled shear-torsional motion of a rubber support system ⋮ Small-amplitude superimposed horizontal motion of a load supported symmetrically by rubber springs

Cites Work

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• Free vibrations of a loaded rubber string
• Finite amplitude oscillations of a simple rubber support system
• Multiple scales analysis of Poynting effect for torsional oscillator with neo-Hookean spring
• Finite amplitude vibrations of a Mooney-Rivlin oscillator
• Stability of a body supported by a simple vehicular shear suspension system
• Finite amplitude, periodic motion of a body supported by arbitrary isotropic, elastic shear mountings
• Stability of the free vibrational motion of a vehicular body supported by rubber shear mountings with quadratic response
• Finite Amplitude Vibrations of a Body Supported by Simple Shear Springs
• Finite amplitude vibrations of a neo-Hookean oscillator
• The mechanics of rubber elasticity

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