Free Vibration of a Rectangular Parallelepiped Using the Theory of a Cosserat Point

DOI10.1115/1.3171736zbMath0592.73084OpenAlexW2011255315MaRDI QIDQ3721957

M. B. Rubin

Publication date: 1986

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.3171736

zbMATH Keywords

Free vibrationrectangular parallelepipedlowest frequenciesextensional and shear vibrations are uncoupledhomogeneous linear elastic isotropic materialisotropic Cosserat point

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (12)

On a Class of Higher-Order Pseudo-Rigid Bodies ⋮ On Extensional Oscillations and Waves in Elastic Rods ⋮ Restrictions on nonlinear constitutive equations for elastic shells ⋮ Free vibration of an isotropic elastic skewed parallelepiped -- a closed form study ⋮ A properly invariant theory of infinitesimal deformations of an elastic Cosserat point ⋮ Some aspects of affine motion and nonholonomic constraints. Two ways to describe homogeneously deformable bodies ⋮ The ideal pseudo-rigid continuum ⋮ Constraints and symmetry in mechanics of affine motion ⋮ On a finite disk method for hyperelastic rods and shells ⋮ A Cosserat point element (CPE) for nearly planar problems (including thickness changes) in nonlinear elasticity ⋮ Simulations of underground structures subjected to dynamic loading using the distinct element method ⋮ Mechanics of systems of affine bodies. Geometric foundations and applications in dynamics of structured media

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