Vibration of a Free Rectangular Parallelepiped

DOI10.1115/1.3166978zbMath0511.73060OpenAlexW2037586512MaRDI QIDQ4750207

No author found.

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1115/1.3166978

zbMATH Keywords

rectangular parallelepipedtraction-free surfacesaccurate natural frequenciescomparison with elementary rod, beam, and plate solutionsgeneral equations of linear elasticityseries solution converge to accurate frequencies

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Series solutions to PDEs (35C10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (9)

Free vibration of an isotropic elastic skewed parallelepiped -- a closed form study ⋮ Three-dimensional vibration analysis of prisms with isosceles triangular cross-section ⋮ Transient response of a square plate from an expanding footprint ⋮ Comparative accuracy of DQ and HDQ methods for three-dimensional vibration analysis of rectangular plates ⋮ On the three-dimensional vibrations of elastic prisms with skew cross-section ⋮ Numerical aspects for free vibration of thick plates. I: Formulation and verification. II: Numerical efficiency and vibration frequencies ⋮ Application of strong SaS formulation and enhanced DQ method to 3D stress analysis of rectangular plates ⋮ Three-Dimensional Dynamic Problem of the Theory of Elasticity for a Parallelepiped ⋮ Modeling via differential quadrature method: Three-dimensional solutions for rectangular plates

This page was built for publication: Vibration of a Free Rectangular Parallelepiped