梯度波阻板的地基振动控制研究

发布时间：2018-03-28 06:51

本文选题：地基振动控制　切入点：弹性地基　出处：《力学学报》2017年06期

【摘要】：波阻板(wave impeding block,WIB)隔振体系是一种有效的振动污染治理措施,虽逐渐被应用在工程实际中,但以往的研究多集中于单相固体均质材料的情形,而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,本文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,利用傅里叶积分变换,根据Helmholtz矢量分解原理,建立了弹性地基在动载荷作用下的回传射线矩阵法(reverberation ray matrix method,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,采用数值傅里叶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大而提高,而随着梯度波阻板埋深的增大而降低.
[Abstract]:Wave impeding block vibration isolation system is an effective vibration pollution control measure. Although it has been gradually used in engineering practice, the previous studies have focused on the case of single-phase solid homogenized materials. However, there are few studies on the vibration isolation properties of non-uniform solid materials whose material properties vary continuously in space. Based on the functionally functionally graded material FGMs, In this paper, a new type of foundation vibration control system using functionally gradient wave resistance plate as the barrier of vibration isolation is proposed. Considering the setting of gradient wave resistance plate inside the elastic foundation, based on the linear elastic theory, the Fourier integral transform is used to control the vibration of the foundation. Based on the principle of Helmholtz vector decomposition, a formula for calculating the reverberation ray matrix method of elastic foundation under dynamic loading is established. It is assumed that the physical and mechanical properties of the gradient wave resistance plate vary continuously along the depth direction according to the power function. The numerical solution of displacement and stress of elastic foundation is obtained by inverse Fourier transform. The numerical example is compared with the homogeneous wave resistance plate of single phase solid, and the material gradient factor of gradient wave resistance plate is analyzed and discussed. The effect of physical and mechanical parameters such as buried depth and thickness of gradient wave resistance plate on the vibration isolation performance of the foundation is studied. The results show that the gradient wave resistance plate can effectively reduce the vibration amplitude, compared with the single-phase solid homogeneous wave resistance plate. The displacement amplitude and stress amplitude of the foundation decrease with the increase of gradient factor, and the vibration isolation effect of gradient wave resistance plate increases with the increase of the thickness of the plate. However, with the increase of the buried depth of the gradient wave resistance plate, it decreases.
【作者单位】：兰州理工大学土木工程学院;兰州交通大学交通运输学院;
【基金】：国家自然科学基金资助项目(51368038)
【分类号】：TU435

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