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首页> 外文期刊>Composite Structures >Dynamics of elastically connected double-functionally graded beam systems with different boundary conditions under action of a moving harmonic load
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Dynamics of elastically connected double-functionally graded beam systems with different boundary conditions under action of a moving harmonic load

机译：弹性边界作用下边界条件不同的弹性连接双功能梯度梁系统的动力学

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This paper studies the dynamic responses of an elastically connected double-functionally graded beam system (DFGBS) carrying a moving harmonic load at a constant speed by using Euler-Bernoulli beam theory. The two functionally graded (FG) beams are parallel and connected with each other continuously by elastic springs. Six elastically connected double-functionally graded beam systems (DFGBSs) having different boundary conditions are considered. The point constraints in the form of supports are assumed to be linear springs of large stiffness. It is assumed that the material properties follow a power-law variation through the thickness direction of the beams. The equations of motion are derived with the aid of Lagrange's equations. The unknown functions denoting the transverse deflections of DFGBS are expressed in polynomial form. Newmark method is employed to find the dynamic responses of DFGBS subjected to a concentrated moving harmonic load. The influences of the different material distribution, velocity of the moving harmonic load, forcing frequency, the rigidity of the elastic layer between the FG beams and the boundary conditions on the dynamic responses are discussed.
机译：本文利用欧拉-伯努利（Euler-Bernoulli）梁理论，研究了恒速运动的弹性连接双功能渐变梁系统（DFGBS）的动态响应，该系统承受恒定的谐波载荷。两个功能梯度（FG）梁是平行的，并通过弹性弹簧彼此连续连接。考虑了六个具有不同边界条件的弹性连接的双功能渐变梁系统（DFGBS）。假定支撑形式的点约束是刚度较大的线性弹簧。假设材料特性在梁的厚度方向上遵循幂律变化。运动方程是借助拉格朗日方程得出的。表示DFGBS横向变形的未知函数以多项式形式表示。采用Newmark方法来寻找DFGBS在集中运动谐波载荷下的动力响应。讨论了不同材料分布，运动谐波载荷的速度，强迫频率，FG梁之间弹性层的刚度以及边界条件对动力响应的影响。

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