An impetus-striction simulation of the dynamics of an elastica

DOI10.1007/BF02439312zbMath0854.73032MaRDI QIDQ1920978

John H. Maddocks, Donald J. Dichmann

Publication date: 6 August 1996

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

zbMATH Keywords

conservation lawsconstrained Lagrangian dynamicsinextensible unshearable rodunconstrained Hamiltonian system

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (10)

Convergence of a spectral Galerkin scheme for the dynamic elastica with periodical or hinged boundary ⋮ Geometric integrators for classical spin systems ⋮ Numerical analysis of constrained Hamiltonian systems and the formal theory of differential equations ⋮ Multi-body dynamics simulation of geometrically exact Cosserat rods ⋮ Numerical aspects in the dynamic simulation of geometrically exact rods ⋮ The embedded projection method: A general index reduction procedure for constrained system dynamics ⋮ Low-Mach-number and slenderness limit for elastic Cosserat rods and its numerical investigation ⋮ An error estimate for an energy conserving spectral scheme approximating the dynamic elastica with free ends ⋮ Exact energy and momentum conserving algorithms for general models in nonlinear elasticity ⋮ Stable Underlying Equations for Constrained Hamiltonian Systems

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