Applications of dual MRM for determining the natural frequencies and natural modes of an Euler-Bernoulli beam using the singular value decomposition method

DOI10.1016/S0955-7997(98)00084-8zbMath0957.74076OpenAlexW2150712896MaRDI QIDQ1961528

Yanyan Li

Publication date: 17 January 2000

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

Full work available at URL: https://doi.org/10.1016/s0955-7997(98)00084-8

zbMATH Keywords

natural frequenciessingular value decomposition methodEuler-Bernoulli beamnatural modesboundary eigenvectordual multiple reciprocity methodfixed-fixed supported beamspurious eigendata

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Boundary element methods applied to problems in solid mechanics (74S15)

Related Items

An innovative eigenvalue problem solver for free vibration of Euler-Bernoulli beam by using the adomian decomposition method, Eigensolutions of the Helmholtz equation for a multiply connected domain with circular boundaries using the multipole Trefftz method, On the spurious eigensolutions for the real-part boundary element method, Study on the true and spurious eigensolutions of two-dimensional cavities using the dual multiple reciprocity method., Analytical study and numerical experiments for true and spurious eigensolutions of a circular cavity using the real-part dual BEM, The use of He's variational iteration method for obtaining the free vibration of an Euler-Bernoulli beam, Chaotic dynamics of flexible Euler-Bernoulli beams

Cites Work

• Boundary element analysis and design in seepage problems using dual integral formulation
• A note on multiple reciprocity integral formulation for the Helmholtz equation
• Unnamed Item
• Unnamed Item