Null-field integral equation approach for free vibration analysis of circular plates with multiple circular holes

DOI10.1007/s00466-008-0272-4zbMath1163.74509OpenAlexW2151481887MaRDI QIDQ1026480

Wei-Ming Lee, Jeng-Tzong Chen

Publication date: 25 June 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-008-0272-4

zbMATH Keywords

boundary integral equationvibrationFourier seriesdegenerate kernelnull-field integral equationspurious eigenvalueSVD updating technique

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Related Items (6)

Exact solution for free in-plane vibration analysis of an eccentric elliptical plate ⋮ Analytical investigation for true and spurious eigensolutions of multiply-connected membranes containing elliptical boundaries using the dual BIEM ⋮ A novel method for solving the displacement and stress fields of an infinite domain with circular holes and/or inclusions subject to a screw dislocation ⋮ Eigensolutions of a circular flexural plate with multiple circular holes by using the direct BIEM and addition theorem ⋮ Study on harbor resonance and focusing by using the null-field BIEM ⋮ Free vibration analysis of an elliptical plate with eccentric elliptical cut-outs

Uses Software

• ABAQUS
• IMSL Numerical Libraries

Cites Work

• Unnamed Item
• Unnamed Item
• Mathematical analysis and numerical study of true and spurious eigenequations for free vibration of plates using real-part BEM
• A semi-analytical approach for radiation and scattering problems with circular boundaries
• Null-field integral equations for stress field around circular holes under antiplane shear
• 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
• Natural frequencies of simply supported circular plates
• Boundary‐element solution of some structural‐acoustic coupling problems using the multiple reciprocity method
• 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
• Linear integral equations

This page was built for publication: Null-field integral equation approach for free vibration analysis of circular plates with multiple circular holes