Roots of certain transcendental equations for elastic angular regions

DOI10.1016/S0045-7825(98)00270-9zbMath0962.74023OpenAlexW2116836630MaRDI QIDQ1971294

M. Bala Subrahmanyam

Publication date: 14 June 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(98)00270-9

zbMATH Keywords

flexurebucklingvibrationtranscendental equationselastic angular regionsforward integration

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) Numerical and other methods in solid mechanics (74S99)

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Cites Work

• Basis functions for the buckling of plates
• Vibration of quadrilateral plates
• Vibration of a plate of arbitrary shape with free and simply supported mixed edges
• A highly accurate analytical solution for free vibration analysis of simply supported right triangular plates
• Elastic quadrilateral plates