Dynamics of 3D sliding beams undergoing large overall motions
نویسندگان
چکیده
This paper presents the 3D dynamic formulations for a flexible beam sliding through revolute-prismatic joint. Considering geometric nonlinearity, configuration space of is nonlinear differentiable manifold (R3×SO(3)). Moreover, manipulated by joint can undergo large overall motion and slide Because difficulty mentioned above, most studies on these problems focus 2D cases or are tackled under small deformation assumption. In this paper, rotation matrices parameterized using rotational vectors to describe accurately spatial beams. For convenience, finite beams, material frame fixed but will change over time. The corotational method introduced take nonlinearity (small strain rotation) into account. frame, energy kinetic elements derived with same shape functions, which used local displacements, maintain element-independent framework. Then ‘standard element’ be embedded within order consider shear deformation, discretized number variable-domain interdependent interpolation elements. Rotary inertia also considered in paper. equations extended Hamilton's principle solved Hilber-Hughes-Taylor Newton-Raphson iteration method. Four examples presented demonstrate validity, accuracy versatility present formulation.
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ژورنال
عنوان ژورنال: Communications in Nonlinear Science and Numerical Simulation
سال: 2021
ISSN: ['1878-7274', '1007-5704']
DOI: https://doi.org/10.1016/j.cnsns.2021.105778