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Dynamic analysis of two-layer composite beams with partial interaction using a higher order beam theory

机译:基于高阶梁理论的具有部分相互作用的两层组合梁的动力分析

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摘要

Kant's higher order beam kinematics, which takes into account both the longitudinal and transverse higher order deformation of beam, is applied to the dynamic model of two-layer partial interaction composite beams. To establish and solve the mathematical problem, the finite element for the composites is then formulated using the principle of virtual work. Furthermore, the finite element of Timoshenko composite beam model, for the purpose of comparison, is also given in this paper. The numerical performance and reliability of the proposed finite elements are verified through the comparison with the results of ABAQUS using the plane stress model and those based on Reddy's higher beam theory and classical beam theories from the literature. Besides, the responses to the seismic and moving load of the proposed composite beam model are also presented, and subsequently the influences of parameters including damping ratio, velocity of moving load, slenderness ratio and interfacial stiffness on the mechanical behavior are studied. Numerical results show that the present higher order composite beam model can achieve higher accuracy on the dynamic analyses than the classical and Reddy's models, and the impact effects of moving load together with the partial interaction between sub-layers should be considered. (C) 2014 Elsevier Ltd. All rights reserved.
机译:康德的高阶梁运动学考虑了梁的纵向和横向高阶变形,被应用于两层局部相互作用复合梁的动力学模型。为了建立和解决数学问题,然后使用虚拟功原理公式化复合材料的有限元。此外,出于比较的目的,本文还给出了Timoshenko复合梁模型的有限元。通过与使用平面应力模型的ABAQUS结果以及文献中基于Reddy的高梁理论和经典梁理论的结果进行比较,验证了所提出有限元的数值性能和可靠性。此外,还提出了所提出的组合梁模型对地震和运动荷载的响应,然后研究了阻尼比,运动荷载速度,细长比和界面刚度等参数对力学性能的影响。数值结果表明,与经典模型和Reddy模型相比,目前的高阶组合梁模型在动力学分析上可以获得更高的精度,并且应考虑移动载荷的影响以及子层之间的局部相互作用。 (C)2014 Elsevier Ltd.保留所有权利。

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