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波阻板(WIB)隔振体系作为一种有效的振动污染治理措施,虽逐渐在工程实际中应用,但以往的研究都集中于单相固体均质材料的情形,对材料特性沿空间连续变化的非均匀固体材料的波阻板隔振性能的研究相对较少.基于功能梯度材料(functionally graded material,FGM)特点,提出了以功能梯度波阻板作为隔振屏障的一类新型的地基振动控制体系.考虑在弹性地基内部设置梯度波阻板,基于线弹性理论,利用Fourier积分变换,通过Helmholtz矢量分解原理,建立了弹性地基在动荷载作用下的回传射线矩阵法(RRMM)计算列式.假设梯度波阻板的物理力学性质沿深度方向按幂函数连续变化,采用数值Fourier逆变换获得了弹性地基的位移和应力等物理量的数值解.通过数值算例,与单相固体均质波阻板进行了对比,并分析讨论了梯度波阻板的材料梯度因子、埋深以及梯度波阻板厚度等物理力学参数对地基隔振性能的影响规律.结果表明,梯度波阻板能有效地降低振动的振幅,与单相固体均质波阻板相比,梯度波阻板具有更好的减振隔振效果.地基的位移幅值和应力幅值随着梯度因子的增大而减小.梯度波阻板的隔振效果随着波阻板厚度的增加而增大,而随着梯度波阻板埋深的增大而降低.
Wave barrier (WIB) vibration isolation system as an effective vibration pollution control measures, although gradually applied in engineering practice, but previous studies have focused on single-phase solid homogeneous materials, the material properties along the continuous changes in space The research on the vibration isolation performance of the wave barrier of non-uniform solid materials is relatively few.Furthermore, based on the characteristics of functionally graded material (FGM), a new type of ground vibration Considering that the gradient wave plate is set inside the elastic foundation and the recurrent ray matrix method (RRMM) calculation column of the elastic foundation under the action of dynamic load is established based on the linear elasticity theory and the Fourier integral transformation by Helmholtz vector decomposition principle Assuming that the physical and mechanical properties of the gradient wave plate change continuously along the power direction by a power function, the numerical solution of the physical quantities such as displacement and stress of the elastic foundation is obtained by the numerical Fourier inverse transform.Through the numerical examples, Wave barrier were compared, and analyzed the gradient gradient plate material gradient factor, depth and gradient wave plate thickness and other physical and mechanical parameters The results show that the gradient wave plate can effectively reduce the amplitude of the vibration, and the gradient wave plate has a better vibration isolation and vibration isolation effect than the single-phase solid homogeneous wave plate. The displacement amplitude and stress amplitude of foundation decrease with the increase of gradient factor.The isolation effect of gradient wave plate increases with the increase of wave plate thickness, Increase and decrease.