The influence of corner stress singularities on the vibration characteristics of rhombic plates with combinations of simply supported and free edges

DOI10.1016/S0020-7403(97)00120-3zbMath0957.74020OpenAlexW1995041359WikidataQ127647356 ScholiaQ127647356MaRDI QIDQ1960852

Yanyan Li

Publication date: 17 January 2000

Published in: International Journal of Mechanical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7403(97)00120-3

zbMATH Keywords

mode shapesnumerical approximationstress singularitiescorner mode shapesflexural eigenvibrationsobtuse anglesrhombic plates

Mathematics Subject Classification ID

Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

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Differential quadrature analysis of free vibration of rhombic plates with free edges ⋮ The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review ⋮ Free vibration of an isotropic elastic skewed parallelepiped -- a closed form study ⋮ On the three-dimensional vibrations of elastic prisms with skew cross-section ⋮ Accurate vibration analysis of skew plates by the new version of the differential quadrature method ⋮ Weak form quadrature element method for accurate free vibration analysis of thin skew plates ⋮ FREE VIBRATION ANALYSIS OF DISCRETELY STIFFENED SKEW PLATES ⋮ FREE VIBRATION AND BUCKLING ANALYSIS OF HIGHLY SKEWED PLATES BY LEAST SQUARES-BASED FINITE DIFFERENCE METHOD

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