A boundary element method for eigenvalue problems of polygonal membranes and plates

DOI10.1007/BF01184282zbMath0606.73099MaRDI QIDQ1084950

Hans Irschik, Rudolf Heuer

Publication date: 1987

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

Green functionsnatural frequencieseigenvalue problemsfrequency response functionssimply supported platesadvanced boundary element formulationcritical buckling eigenvaluesDirichlet's Helmholtz problemfinite domainsparallelogram Mindlin platesPolygonal membranes

Mathematics Subject Classification ID

Related Items (10)

A simple and accurate Ritz formulation for free vibration of thick rectangular and skew plates with general boundary conditions ⋮ Dynamic analysis of polygonal Mindlin plates on two-parameter foundations using classical plate theory and an advanced BEM ⋮ New finite element model for the stability analysis of a functionally graded material thin plate under compressive loadings ⋮ On a new symplectic geometry method for exact bending solutions of orthotropic rectangular plates with two opposite sides clamped ⋮ Buckling analysis of Reissner-Mindlin plates subjected to in-plane edge loads using a shear-locking-free and meshfree method ⋮ Analogies for simply supported nonlocal Kirchhoff plates of polygonal planform ⋮ Buckling and free vibration of elastic plates using simple and mixed shear deformation theories ⋮ Elastodynamics of thin plates with internal dissipative processes. II: Computational aspects ⋮ Free and forced vibrations of plates by boundary elements ⋮ A flexibility matrix solution of the vibration problem of plates based on the boundary element method

Cites Work

• Membrane-type eigenmotions of Mindlin plates
• A boundary-integral equation method for bending of orthotropic plates
• Application of the Green's function method to thin elastic polygonal plates
• [https://portal.mardi4nfdi.de/wiki/Publication:3668075 Ein Randintegralgleichungsverfahren f�r temperaturmomentbeanspruchte Platten]
• Initially Stressed Mindlin Plates
• Calculation of eigenvalues of the Helmholtz equation by an integral equation
• Analysis of Heterogeneous Anisotropic Plates
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