Analytical study and numerical experiments of true and spurious eigensolutions of free vibration of circular plates using real-part BIEM

DOI10.1016/j.enganabound.2007.09.004zbMath1244.74163OpenAlexW2170295082MaRDI QIDQ443255

Jeng-Tzong Chen, Wei-Ming Lee

Publication date: 7 August 2012

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2007.09.004

zbMATH Keywords

circular plateSVDFourier seriesboundary integral equation methoddegenerate kernelspurious eigenvalueCHEEF method

Mathematics Subject Classification ID

Plates (74K20) Boundary element methods applied to problems in solid mechanics (74S15)

Related Items (4)

Analytical and numerical investigation for true and spurious eigensolutions of an elliptical membrane using the real-part dual BIEM/BEM ⋮ Analytical investigation for true and spurious eigensolutions of multiply-connected membranes containing elliptical boundaries using the dual BIEM ⋮ On the spurious eigensolutions for the real-part boundary element method ⋮ Eigenanalysis for a confocal prolate spheroidal resonator using the null-field BIEM in conjunction with degenerate kernels

Uses Software

• IMSL Numerical Libraries

Cites Work

• Recent development of dual BEM in acoustic problems
• Determination of the natural frequencies and natural modes of a rod using the dual BEM in conjunction with the domain partition technique
• Determination of spurious eigenvalues and multiplicities of true eigenvalues using the real-part dual BEM
• TREATMENT OF RANK DEFICIENCY IN ACOUSTICS USING SVD
• Mathematical analysis and numerical study to free vibrations of annular plates using BIEM and BEM
• Null-Field Integral Equation Approach for Plate Problems With Circular Boundaries
• Calculation of eigenvalues of the Helmholtz equation by an integral equation
• A simplified integral equation method for the calculation of the eigenvalues of Helmholtz equation
• Analytical study and numerical experiments for true and spurious eigensolutions of a circular cavity using the real-part dual BEM
• Boundary element analysis for the Helmholtz eigenvalue problems with a multiply connected domain
• Spurious and true eigensolutions of Helmholtz BIEs and BEMs for a multiply connected problem
• Improved Integral Formulation for Acoustic Radiation Problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Analytical study and numerical experiments of true and spurious eigensolutions of free vibration of circular plates using real-part BIEM