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Geometrically non-linear formulation of flexible multibody systems in terms of beam elements: Geometric stiffness by J. Mayo; J. Domínguez is a Engineering article available to read on EtoBox.

What is Geometrically non-linear formulation of flexible multibody systems in terms of beam elements: Geometric stiffness about?

The occurrence of strong deflections and major axial forces in many applications involving flexible multibodies entails including non-linear terms coupling deformation-induced axial and transverse displacements in the motion equation. The formulations, including such terms, are known as geometrically non-linear formulations. The authors have developed one such formulation that preserves higher-order terms in the strain energy function. By expressing such terms as a function of selected elastic coordinates, three stiffness matrices and two non-linear vectors of elastic forces are defined. The first matrix is the conventional constant-stiffness matrix, the second is the classical geometric stiffness matrix and the third is a second-order geometric stiffness matrix. The aim of this work is to define the third matrix and the two non-linear vectors of elastic forces by using the finite-element method.

Who reads Geometrically non-linear formulation of flexible multibody systems in terms of beam elements: Geometric stiffness?

It is typically read by researchers, students, and practitioners in Engineering.

Author
J. Mayo; J. Domínguez
Publisher
Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0045-7949)
Published
1996
Language
EN
Field
Engineering (Physical Sciences)