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Free flexural vibration of functionally graded size-dependent nanoplates

机译:功能梯度尺寸依赖纳米板的自由弯曲振动

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摘要

In this paper, the linear free flexural vibration behaviour of functionallygraded (FG) size-dependent nanoplates are investigated using the finite elementmethod. The field variables are approximated by non-uniform rational B-splines.The size-dependent FG nanoplate is investigated by using Eringen's differentialform of nonlocal elasticity theory. The material properties are assumed to varyonly in the thickness direction and the effective properties for FG nanoplateare computed using Mori-Tanaka homogenization scheme. The accuracy of thepresent formulation is tested considering the problems for which solutions areavailable. A detailed numerical study is carried out to examine the effect ofmaterial gradient index, the characteristic internal length, the platethickness, the plate aspect ratio and the boundary conditions on the globalresponse of FG nanoplate.
机译:在本文中,使用有限元方法研究了功能梯度(FG)尺寸依赖的纳米板的线性自由挠曲振动行为。通过非均匀有理B样条来近似场变量。利用非局部弹性理论的埃林根微分形式研究了尺寸依赖的FG纳米板。假定材料特性仅在厚度方向上变化,并且使用Mori-Tanaka均质化方案计算出FG纳米板的有效特性。考虑到解决方案可用的问题,测试了本制剂的准确性。进行了详细的数值研究,以考察材料梯度指数,特征内部长度,板厚,板长宽比和边界条件对FG纳米板整体响应的影响。

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