Browsing by Author "Lin, Wen Yi"

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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.
A Corotational Finite Element Method Combined with Floating Frame Method for Large Steady-State Deformation and Free Vibration Analysis of a Rotating-Inclined Beam
(2011)
Tsai, Ming Hsu
;
Lin, Wen Yi
;
Zhou, Yu Chun
;
Hsiao, Kuo Mo
;
機械工程學系
A corotational finite element method combined with floating frame method and a numerical procedure is proposed to investigate large steady-state deformation and infinitesimal-free vibration around the steady-state deformation of a rotating-inclined Euler beam at constant angular velocity. The element nodal forces are derived using the consistent second-order linearization of the nonlinear beam theory, the d'Alembert principle, and the virtual work principle in a current inertia element coordinates, which is coincident with a rotating element coordinate system constructed at the current configuration of the beam element. The governing equations for linear vibration are obtained by the first-order Taylor series expansion of the equation of motion at the position of steady-state deformation. Numerical examples are studied to demonstrate the accuracy and efficiency of the proposed method and to investigate the steady-state deformation and natural frequency of the rotating beam with different inclined angle, angular velocities, radius of the hub, and slenderness ratios.
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.
Free vibration analysis of rotating Euler beams at high angular velocity
(2010-09-01)
Huang, Chih Ling
;
Lin, Wen Yi
;
Hsiao, Kuo Mo
;
機械工程學系
;
Department of Mechanical Engineering
The natural frequency of the flapwise bending vibration, and coupled lagwise bending and axial vibration is investigated for the rotating beam. A method based on the power series solution is proposed to solve the natural frequency of very slender rotating beam at high angular velocity. The rotating beam is subdivided into several equal segments. The governing equations of each segment are solved by a power series. Numerical examples are studied to demonstrate the accuracy and efficiency of the proposed method. The effect of Coriolis force, angular velocity, and slenderness ratio on the natural frequency of rotating beams is investigated. (C) 2010 Elsevier Ltd. All rights reserved.
Geometrically Non-Linear Dynamic Analysis of Thin-Walled Beams
(2009)
Hsiao, Kuo Mo
;
Lin, Wen Yi
;
Chen, Ren Haw
;
機械工程學系
;
Department of Mechanical Engineering
A co-rotational finite element formulation for the geometrically nonlinear dynamic analysis of thin-walled beam with large rotations but small strain is presented. The element developed here has two nodes with seven degrees of freedom per node. The element nodes are chosen to be located at the centroid of the end cross sections of the beam element and the centroid axis is chosen to be the reference axis. The. kinematics of the beam element is described in the current element coordinate system constructed at the current configuration of the beam element. The element nodal forces are conventional forces, moments and bimoments. Both the element deformation nodal forces and inertia nodal forces are systematically derived by consistent linearization of the fully geometrically non-linear beam theory, the d'Alembert principle and the virtual work principle in the current element coordinates. An incremental-iterative method based on the Newmark direct integration method and the Newton-Raphson method is employed here for the solution of the nonlinear equations of motion. Numerical examples are presented to demonstrate the accuracy and efficiency of the proposed method.
Investigation on Free Vibration of Buckled Beams
(2012)
Tsai, Ming Hsu
;
Lin, Wen Yi
;
Hsiao, Kuo Mo
;
Fujii, Fumio
;
機械工程學系
The objective of this study is to investigate the deformed configuration and free vibration around the deformed configuration of clamped buckled beams by co-rotational finite element formulation. The principle of virtual work, d'Alembert principle and the consistent second order linearization of the nonlinear beam theory are used to derive the element equations in current element coordinates. The governing equations for linear vibration are obtained by the first order Taylor series expansion of the equation of motion at the static equilibrium position of the buckled beam. Numerical examples are studied to investigate the natural frequencies of clamped buckled beams with different slenderness ratios under different axial compression.
Investigation on steady state deformation and free vibration of a rotating inclined Euler beam
(2011-12-01)
Tsai, Ming Hsu
;
Lin, Wen Yi
;
Zhou, Yu Chun
;
Hsiao, Kuo Mo
;
機械工程學系
The steady state deformation and infinitesimal free vibration around the steady state deformation of a rotating inclined Euler beam at constant angular velocity are investigated by the corotational finite element method combined with floating frame method. The element nodal forces are derived using the consistent second order linearization of the nonlinear beam theory, the d'Alembert principle and the virtual work principle in a current inertia element coordinates, which is coincident with a rotating element coordinate system constructed at the current configuration of the beam element. The rotating element coordinates rotate about the hub axis at the angular speed of the hub. The equations of motion of the system are defined in terms of an inertia global coordinate system, which is coincident with a rotating global coordinate system rigidly tied to the rotating hub. Numerical examples are studied to demonstrate the accuracy and efficiency of the proposed method and to investigate the steady state deformation and natural frequency of the rotating inclined beam. (C) 2011 Elsevier Ltd. All rights reserved.