Use of Cholesky coordinates and the absolute nodal coordinate formulation in the computer simulation of flexible multibody systems

DOI10.1023/A:1008323106689zbMath0964.74071MaRDI QIDQ1974263

R. Y. Yakoub, Ahmed A. Shabana

Publication date: 22 July 2001

Published in: Nonlinear Dynamics (Search for Journal in Brave)

zbMATH Keywords

large deformationsCholesky decompositionabsolute nodal coordinate formulationinertia matrixaugmented multibody equations of motioncomputer procedureconstant velocity transformation matrixgeneralized Cholesky coordinatesoptimum sparse matrix structure

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thin bodies, structures (74K99) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Dynamics of multibody systems (70E55)

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A natural absolute coordinate formulation for the kinematic and dynamic analysis of rigid multibody systems ⋮ An efficient discrete algorithm in dynamic modeling of large-deformation flexible mechanisms ⋮ A modified constraint force algorithm for flexible multibody dynamics with loop constraints ⋮ Analysis of thin beams and cables using the absolute nodal co-ordinate formulation ⋮ Efficient dynamics analysis of large-deformation flexible beams by using the absolute nodal coordinate transfer matrix method ⋮ Riccati discrete time transfer matrix method for elastic beam undergoing large overall motion ⋮ Spatial joint constraints for the absolute nodal coordinate formulation using the non-generalized intermediate coordinates ⋮ Three-dimensional large deformation analysis of the multibody pantograph/catenary systems ⋮ Closed-form control oriented model of highly flexible manipulators ⋮ Analysis of 2D flexible mechanisms using linear finite elements and incremental techniques ⋮ Clamped end conditions and cross-section deformation in the finite element absolute nodal coordinate formulation ⋮ A logarithmic complexity divide-and-conquer algorithm for multi-flexible-body dynamics including large deformations

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