Finite amplitude, periodic motion of a body supported by arbitrary isotropic, elastic shear mountings

DOI10.1007/BF00043201zbMath0671.73023MaRDI QIDQ1119414

Millard F. jun. Beatty

Publication date: 1988

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

zbMATH Keywords

frequency equationfinite static shear deformationhyperelastic biological tissuesshearing oscillatorssuperimposed, small amplitude vibrations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bulk waves in solid mechanics (74J10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (6)

Coupled shear-torsional motion of a rubber support system ⋮ Finite amplitude vibrations of a Mooney-Rivlin 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 ⋮ Weakly Nonlinear Oscillations Superimposed on Finite Circumferential Shear of a Compressible, Nonlinear, Viscoelastic, Isotropic Material ⋮ Finite amplitude, free vibrations of an axisymmetric load supported by a highly elastic tubular shear spring

Cites Work

• Unnamed Item
• Large shearing oscillations of incompressible nonlinearly elastic bodies
• A class of univeral relations in isotropic elasticity theory
• Oscillatory shearing of nonlinearly elastic solids
• Large amplitude oscillations of a tube of incompressible elastic material
• Finite Amplitude Vibrations of a Body Supported by Simple Shear Springs
• On a Class of Oscillations in the Finite-Deformation Theory of Elasticity

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