Browsing by Author "Huang, Chu Chang"

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A buckling and postbuckling analysis of axially loaded thin-walled beams with point-symmetric open section using corotational finite element formulation
(2018-03-01)
Huang, Chu Chang
;
Peng, Shih Chung
;
Lin, Wen Yi
;
Fujii, Fumio
;
Hsiao, Kuo Mo
The axially loaded thin-walled beams with point symmetric open section are studied using a corotational finite element formulation. The kinematics of the beam element is described in the current element coordinate system. The element nodal forces are derived using the virtual work principle, and consistent second order linearization of the fully geometrically non-linear beam theory. Different axial load systems with the same centric resultant axial force but different resultant bimoments are considered. Numerical examples studied show that the effects of bimoments on the budding and postbuckling behavior of point symmetric open section beams are remarked.
An explicit algorithm for geometrically nonlinear transient analysis of spatial beams using a corotational total Lagrangian finite element formulation
(2018-04-15)
Huang, Chu Chang
;
Fujii, Fumio
;
Hsiao, Kuo Mo
;
機械工程學系
;
Department of Mechanical Engineering
An explicit method for nonlinear transient dynamic analysis of spatial beams with finite rotations using a corotational total Lagrangian finite element formulation is presented. The kinematics of the beam element is described in the current element coordinate system constructed in the current configuration of the beam element. The element deformation and inertia nodal forces are derived by the virtual work principle, the d'Alembert principle, and the consistent linearization of the geometrically nonlinear beam theory. A nodal rotation vector is used to represent the finite rotation of a base coordinate system rigidly attached to each node of the discretized structure. A numerical procedure of explicit method is proposed for the solution of the nonlinear equations of motion. The standard central difference method is applied to the incremental displacement vector and the incremental rotation vector, and the time derivatives of displacement vector and rotation vector. The nodal orientations are updated by the incremental nodal rotation vectors. The values of nodal rotation vectors are reset to zero in the current configuration. In order to assess the efficiency and the accuracy of the proposed method, numerical examples are studied and compared with the results obtained using the implicit method based on the Newmark method. (C) 2018 Elsevier Ltd. All rights reserved.
An Explicit Method for Geometrically Nonlinear Dynamic Analysis of Spatial Beams
(2015)
Huang, Chu Chang
;
Lin, Wen Yi
;
Fujii, Fumio
;
Hsiao, Kuo Mo
;
機械工程學系
An explicit method based on the central difference method for nonlinear transient dynamic analysis of spatial beams with finite rotations using corotational total Lagrangian finite element formulation is presented. The kinematics of the beam element is described in the current element coordinate system constructed at the current configuration of the beam element. The beam element has two nodes with six degrees of freedom per node. Three rotation parameters referred to the current element coordinates are defined to determine the orientation of element cross section. A rotation vector is used to represent the finite rotation of a base coordinate system rigidly tied to each node of the discretized structure. Note that the values of nodal rotation vectors are reset to zero at current configuration. The element deformation nodal forces and inertia nodal forces are systematically derived by consistent linearization of the fully geometrically nonlinear beam theory, the d\'Alembert principle and the virtual work principle in the current element coordinates. The standard central difference method is applied to the incremental displacement and rotational vector, and their time derivatives. The orientation of the end cross section of the beam element is updated by the incremental nodal rotation vector. A Numerical example is presented to demonstrate the accuracy and efficiency of the proposed method.