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首页> 外文期刊>International Journal of Engineering Science >Nonlinear bending and forced vibrations of axially functionally graded tapered microbeams
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Nonlinear bending and forced vibrations of axially functionally graded tapered microbeams

机译：轴向功能渐变锥形微梁的非线性弯曲和强迫振动

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The forced nonlinear size-dependent vibrations and bending of axially functionally graded (AFG) tapered microbeams are examined incorporating extensibility. Employing the modified version of the couple stress-based theory, the nonlinear partial differential equations for the transverse and longitudinal motions for a clamped-clamped AFG tapered microbeam are obtained via Hamilton's principle. The variation of the mechanical properties and the cross-section of the AFG microbeam along the length are included in the equations of motion based on exponential distributions of the moduli of elasticity, mass density, Poisson's ratio, and cross-sectional area. The Galerkin method is utilised to obtain a set of discretised nonlinear differential equations of ordinary type; this set of equation is solved with the help of Houbolt's finite difference technique together with the Newton-Raphson method. The effects of the small-scale parameter, the gradient index, material properties variation, and the taper ratio on the nonlinear vibrations of the microsystem are investigated. (C) 2017 Published by Elsevier Ltd.
机译：研究了轴向可功能梯度（AFG）锥形微束受力非线性尺寸相关的振动和弯曲，并纳入了可扩展性。利用基于耦合应力理论的改进版本，通过汉密尔顿原理获得了用于夹紧式AFG锥形微束的横向和纵向运动的非线性偏微分方程。基于弹性模量，质量密度，泊松比和横截面积的指数分布，运动方程中包括机械性能和AFG微束横截面沿长度的变化。 Galerkin方法用于获得一组普通类型的离散非线性微分方程。这组方程是借助Houbolt的有限差分技术和Newton-Raphson方法求解的。研究了小尺度参数，梯度指数，材料性能变化和锥度比对微系统非线性振动的影响。 （C）2017由Elsevier Ltd.发布

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