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Your search keyword '"Deng, Lanfeng"' showing total 2 results
Start Over Author "Deng, Lanfeng" Topic euler-bernoulli beam theory
2 results on '"Deng, Lanfeng"'

1. An ALE formulation for the geometric nonlinear dynamic analysis of planar curved beams subjected to moving loads.

Author

Deng, Lanfeng, Niu, Mu-Qing, Xue, Jian, and Chen, Li-Qun

Subjects
*CURVED beams, *LIVE loads, *EULER-Bernoulli beam theory, *NONLINEAR analysis, *SHEAR (Mechanics), *HAMILTON'S principle function
Abstract

• Dynamics of a planar curved beam subjected to moving loads or masses. • Arbitrary Lagrangian-Eulerian formulation for a corotational curved beam element. • Treatment of geometric nonlinearity and viscoelasticity of the beam. • Driving force for a prescribed motion of a mass along the beam. This paper presents an arbitrary Lagrangian-Eulerian (ALE) formulation based on the consistent corotational method for the geometric nonlinear dynamic analysis of planar curved viscoelastic beams subjected to moving loads. In the ALE description, the beam nodes can be moved in arbitrarily specified ways to describe the moving loads' material positions accurately. The pure deformation and the deformation rate of the element are measured in a curvilinear coordinate system fixed on a curved reference configuration that follows the rotation and translation of a corotational frame. Based on Hamilton's principle, the global elastic force vector, the global internal damping force vector, the global inertia force vector, and the global external damping force vector are derived using the same shape functions to ensure the consistency and independence of the element. Then, a standard element can be embedded within the element-independent framework. An accurate two-node curved element and the Kelvin-Voigt model are introduced in this framework to consider the axial deformation, bending deformation, shear deformation, rotary inertia, and viscoelasticity of the beam. Three examples are given to verify the validity, computational efficiency, and versatility of the presented formulation. The effect of internal damping, external damping, the inertia force of a moving mass, and the moment of inertia of the mass on the dynamic response of the beam are investigated. Moreover, the driving force for a prescribed motion of a mass along the beam is investigated. [ABSTRACT FROM AUTHOR]

Published
2023
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2. Dynamics of 3D sliding beams undergoing large overall motions.

Author

Deng, Lanfeng, Zhang, Yahui, and Kennedy, David

Subjects
*SHEAR (Mechanics), *HAMILTON'S principle function, *DIFFERENTIABLE manifolds, *NEWTON-Raphson method, *EQUATIONS of motion, *EULER-Bernoulli beam theory, *DIFFERENTIABLE dynamical systems
Abstract

• 3D dynamic formulations for a flexible beam sliding through a revolute-prismatic joint are presented. • The beam manipulated by the revolute-prismatic joint can undergo large overall motion and slide through the joint. • 3D variable-domain corotational elements for the geometric nonlinearity dynamic analysis of the beam This paper presents the 3D dynamic formulations for a flexible beam sliding through a revolute-prismatic joint. Considering the geometric nonlinearity, the configuration space of the 3D flexible beam is a nonlinear differentiable manifold (R 3 × SO (3)). Moreover, the beam manipulated by the revolute-prismatic joint can undergo large overall motion and slide through the joint. Because of the difficulty mentioned above, most studies on these problems focus on 2D cases or are tackled under a small deformation assumption. In this paper, the rotation matrices are parameterized using rotational vectors to describe accurately the spatial configuration of flexible beams. For convenience, to describe the finite deformation of the beams, the material frame is fixed on the revolute-prismatic joint but will change over time. The corotational method is introduced to take the geometric nonlinearity (small strain and large rotation) of the beam into account. In the corotational frame, the strain energy and kinetic energy of the elements are derived with the same shape functions, which are used to describe the local displacements, to maintain the element-independent framework. Then a 'standard element' can be embedded within this framework. In order to consider the shear deformation, the flexible beam is discretized using a fixed number of variable-domain interdependent interpolation elements. Rotary inertia is also considered in this paper. The nonlinear equations of motion are derived by using the extended Hamilton's principle and solved by using the Hilber-Hughes-Taylor method and the Newton-Raphson iteration method. Four examples are presented to demonstrate the validity, accuracy and versatility of the present dynamic formulation. [ABSTRACT FROM AUTHOR]

Published
2021
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