Optimal design of beams under flexural vibration

DOI10.1016/0022-460X(83)90634-XzbMath0519.73082MaRDI QIDQ3669000

M. H. S. Elwany, A. D. S. Barr

Publication date: 1983

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

zbMATH Keywords

system of nonlinear equationscantilever beamminimum weight designflexural vibrationsolved numericallyrectangular sectioncross-section dimensionsgiven beam weightmaximization of given natural bending frequencyminimization of beam weightnecessary conditions for minimumspecification of point mass at end of beamspecified value of natural frequencyvariety of constraints on lower and upper bounds

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Optimization problems in solid mechanics (74P99)

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