Transverse vibration and waves in a membrane: frequency domain spectral element modeling and analysis

DOI10.1155/2014/642782zbMath1407.74101OpenAlexW2170301015WikidataQ59068560 ScholiaQ59068560MaRDI QIDQ1718844

Ilwook Park, Usik Lee, Jung Ho Park

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/642782

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Vibrations in dynamical problems in solid mechanics (74H45) Spectral and related methods applied to problems in solid mechanics (74S25) Membranes (74K15)

Related Items

Nonlinear vibration analysis of a membrane based on large deflection theory, Frequency domain spectral element model for the vibration analysis of a thin plate with arbitrary boundary conditions

Uses Software

• Matlab

Cites Work

• Unnamed Item
• A spectrally formulated plate element for wave propagation analysis in anisotropic material
• VIBRATION ANALYSIS BY DISCRETE SINGULAR CONVOLUTION
• Spectral Element Method in Structural Dynamics
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• Vibrations of non-homogeneous rectangular membranes
• ADAPTABLE SPLINE ELEMENT FOR MEMBRANE VIBRATION ANALYSIS
• An asymptotic formula for correcting finite element predicted natural frequencies of membrane vibration problems
• Use of trigonometric terms in the finite element method with application to vibrating membranes
• A GENERAL ALGORITHM FOR COMPUTING NATURAL FREQUENCIES OF ELASTIC STRUCTURES