On curved finite element and straight beam element approximations for vibration problems of circular arch structures

DOI10.1215/kjm/1250522171zbMath0457.73053OpenAlexW1495672675MaRDI QIDQ1151281

Kazuo Ishihara

Publication date: 1980

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250522171

zbMATH Keywords

clamped boundary conditionspiecewise linearcubic Hermite polynomialscircular elastic archesfour different finite element schemesgood agreement with Rayleigh-Ritz method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Membranes (74K15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

A finite element lumped mass scheme for solving eigenvalue problems of circular arches