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A platform for research: civil engineering, architecture and urbanism
Multi-patch Geometrically Nonlinear Isogeometric Analysis of Spatial Beams with Additive Rotation Updates
This paper is concerned with numerical simulation of geometrically nonlinear spatial Timoshenko beams using multi-patch isogeometric analysis. In this work, the total rotation of a cross-section is represented by an orthogonal tensor, which is parameterized by a rotation vector. A relation between the variations of the orthogonal tensor and the rotation vector is employed. The displacements of the beam axis and the rotation vector are considered as unknown kinematics. This set of unknown kinematics enables the common additive update procedure to be used, and the requirement for secondary storage manipulations is removed. Non-uniform rational B-spline curves are used for approximations of both the geometry and unknown kinematics. A well-established example is analyzed to show the accuracy of the proposed approach.
Multi-patch Geometrically Nonlinear Isogeometric Analysis of Spatial Beams with Additive Rotation Updates
This paper is concerned with numerical simulation of geometrically nonlinear spatial Timoshenko beams using multi-patch isogeometric analysis. In this work, the total rotation of a cross-section is represented by an orthogonal tensor, which is parameterized by a rotation vector. A relation between the variations of the orthogonal tensor and the rotation vector is employed. The displacements of the beam axis and the rotation vector are considered as unknown kinematics. This set of unknown kinematics enables the common additive update procedure to be used, and the requirement for secondary storage manipulations is removed. Non-uniform rational B-spline curves are used for approximations of both the geometry and unknown kinematics. A well-established example is analyzed to show the accuracy of the proposed approach.
Multi-patch Geometrically Nonlinear Isogeometric Analysis of Spatial Beams with Additive Rotation Updates
Lecture Notes in Civil Engineering
Reddy, J. N. (editor) / Wang, Chien Ming (editor) / Luong, Van Hai (editor) / Le, Anh Tuan (editor) / Vo, Duy (author) / Nanakorn, Pruettha (author) / Bui, Tinh Quoc (author)
2020-07-28
8 pages
Article/Chapter (Book)
Electronic Resource
English
Isogeometric analysis , Non-uniform rational B-spline (NURBS) , Multi-patch beams , Additive rotation updates , Nonlinear analysis Engineering , Building Construction and Design , Sustainable Development , Structural Materials , Landscape/Regional and Urban Planning , Solid Mechanics , Construction Management
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