Symplectic integration of an accurate beam finite element in non-linear vibration

DOI10.1016/0045-7949(94)00388-JzbMath0871.73068MaRDI QIDQ3129531

Andrew Y. T. Leung, Sheng Gen Mao

Publication date: 12 June 1997

Published in: Computers & Structures (Search for Journal in Brave)

zbMATH Keywords

large deflectionshape functionssmall rotation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

Nonlinear dynamic analysis of Timoshenko beams by BEM. I: Theory and numerical implementation ⋮ Nonlinear dynamic analysis of Timoshenko beams by BEM. II: Applications and validation ⋮ A high accurate Hamiltonian nodal position finite element method for spatial cable structures undergoing long-term large overall motion ⋮ A semianalytical method for nonlinear vibration of Euler-Bernoulli beams with general boundary conditions ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995) ⋮ An exact symplectic geometry solution for the static and dynamic analysis of Reissner plates