本文選題：地基振動(dòng)控制　切入點(diǎn)：彈性地基　出處：《力學(xué)學(xué)報(bào)》2017年06期

【摘要】：波阻板(wave impeding block,WIB)隔振體系是一種有效的振動(dòng)污染治理措施,雖逐漸被應(yīng)用在工程實(shí)際中,但以往的研究多集中于單相固體均質(zhì)材料的情形,而對(duì)材料特性沿空間連續(xù)變化的非均勻固體材料的波阻板隔振性能的研究相對(duì)較少.基于功能梯度材料(functionally graded material,FGM)特點(diǎn),本文提出了以功能梯度波阻板作為隔振屏障的一類新型的地基振動(dòng)控制體系.考慮在彈性地基內(nèi)部設(shè)置梯度波阻板,基于線彈性理論,利用傅里葉積分變換,根據(jù)Helmholtz矢量分解原理,建立了彈性地基在動(dòng)載荷作用下的回傳射線矩陣法(reverberation ray matrix method,RRMM)計(jì)算列式.假設(shè)梯度波阻板的物理力學(xué)性質(zhì)沿深度方向按冪函數(shù)連續(xù)變化,采用數(shù)值傅里葉逆變換獲得了彈性地基的位移和應(yīng)力等物理量的數(shù)值解.通過(guò)數(shù)值算例,與單相固體均質(zhì)波阻板進(jìn)行了對(duì)比,并分析討論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學(xué)參數(shù)對(duì)地基隔振性能的影響規(guī)律.結(jié)果表明,梯度波阻板能有效降低振動(dòng)的振幅,與單相固體均質(zhì)波阻板相比,梯度波阻板具有更好的減振隔振效果.地基的位移幅值和應(yīng)力幅值隨著梯度因子的增大而減小.梯度波阻板的隔振效果隨著波阻板厚度的增大而提高,而隨著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.
【作者單位】： 蘭州理工大學(xué)土木工程學(xué)院;蘭州交通大學(xué)交通運(yùn)輸學(xué)院;
【基金】：國(guó)家自然科學(xué)基金資助項(xiàng)目(51368038)
【分類號(hào)】：TU435

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本文編號(hào)：1675213