Optimal design of thin walled I beams for extreme natural frequency of torsional vibrations

DOI10.1016/0022-460X(83)90751-4zbMath0508.73079OpenAlexW1986011487MaRDI QIDQ4747708

Czesław Szymczak

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-460x(83)90751-4

zbMATH Keywords

numerical examplesPontryagin's maximum principleoptimal designtorsional vibrationsiterativeconstant, axial loadsextreme natural frequencyoptimality condition for variable dimensionthin- walled I beamswarping stresses

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Optimization problems in solid mechanics (74P99)

Related Items

Multi-objective optimal control for eigen-frequencies of a torsional shaft using Pontryagin's maximum principle ⋮ Optimal configurations of circular bars under free torsional and longitudinal vibration based on Pontryagin's maximum principle