Parametric Studies on Bending of Twisted Timoshenko Beams Under Complex Loadings
Parametric Studies on Bending of Twisted Timoshenko Beams Under Complex Loadings
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DOI：
10.1017/jmech.2012.23
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发表时间：
2012-03
影响因子：
1.7
通讯作者：
Wei-Ren Chen
中科院分区：
文献类型：
--
作者：
Wei-Ren Chen
研究了承受横向和轴向组合载荷的扭转Timoshenko梁的静态弯曲。通过应用最小势能原理，在扭转坐标系中建立了平衡方程。然后使用有限元方法将控制方程简化为可求解的代数方程。研究了扭转角、宽厚比、长厚比、载荷和边界条件对扭转梁静态弯曲特性的影响。目前的参数分析将使工程师深入了解扭转梁的各种结构方面对其不同静态载荷响应的影响。
Static bending of a twisted Timoshenko beam subjected to combined transverse and axial loadings is studied. The equilibrium equations are established in the twist coordinates by applying the principle of minimum potential energy. The governing equations are then reduced into solvable algebraic equations using a finite element approach. The effects of the twist angle, thickness-to-width ratio, length-to-thickness ratio, loading and boundary conditions on the static bending characteristics of the twisted beams are investigated. The present parametric analyses will provide engineers a good insight into the influence of various structural aspects of the twisted beam on its response to different static loads.