An assessment and extension of geometrically nonlinear beam theories
An assessment and extension of geometrically nonlinear beam theories
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DOI：
10.1016/j.ymssp.2019.106340
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发表时间：
2019-12-01
影响因子：
8.4
通讯作者：
Dowell, Earl
中科院分区：
文献类型：
--
作者：
Culver, Dean;McHugh, Kevin;Dowell, Earl
推导了仅假设纵向法向应力的梁在大振幅梁偏转情况下的运动方程。该公式包括各种物理可扩展性条件，而不扩展或截断其非线性性质。明确地写出了不可伸展梁模型的拉格朗日乘子。探讨了各种纯纵向正应力梁模型的适用性限制，并量化了两端固定梁的纯横向位移的有效性。出版社：Elsevier Ltd
Equations of motion for beams assuming only longitudinal, normal stress are derived for large-amplitude beam deflection. The formulation includes various physical extensibility conditions without expansion or truncation of their nonlinear nature. The Lagrange multiplier for an inextensible beam model is explicitly written. The limits of the applicability of various beams models with purely longitudinal, normal stress are explored, and the validity of a pure transverse displacement for a beam with fixed ends is quantified. Published by Elsevier Ltd.