The equivalence between the wave propagation method and Bolotin's method in the asymptotic estimation of eigenfrequencies of a rectangular plate

DOI10.1016/0165-2125(92)90034-YzbMath0764.73044MaRDI QIDQ1205411

Goong Chen, Matthew P. Coleman, Jian Xin Zhou

Publication date: 1 April 1993

Published in: Wave Motion (Search for Journal in Brave)

zbMATH Keywords

boundary conditionsKeller-Rubinow's wave methodKirchhoff thin plate

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items

Wave propagation analysis in viscoelastic thick composite plates resting on Visco-Pasternak foundation by means of quasi-3D sinusoidal shear deformation theory, Analysis of vibration by the wave propagation method and Bolotin's method for a rectangular thin plate with at least one side roller-supported

Cites Work

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• Asymptotic solution of eigenvalue problems
• The Wave Propagation Method for the Analysis of Boundary Stabilization in Vibrating Structures
• Analysis of Vibration Eigenfrequencies of a Thin Plate by the Keller-Rubinow Wave Method I: Clamped Boundary Conditions with Rectangular or Circular Geometry
• Asymptotic integration of linear partial differential equations with a small principal part