考虑地基-结构-散粒体相互作用时贮仓结构的静动力研究——[Ⅰ]实验研究

对贮仓结构的静、动力问题进行了系统的实验研究 :考虑到地基———结构———散粒体的相互作用 ,设计并完成了不同地基上的筒仓模型的静、动力试验 (包括模型制作、试验和测试方案 ,数据输入输出及处理 )。根据对多种工况试验的观察 ,得出结论 :在地基水平振动的情况下 ,贮仓内绝大部分的散粒体与仓壁没有相对运动 ,只有一小部分散粒体脱离仓壁与贮仓有相对运动     

考虑地基—结构、散粒体相互作用时贮仓结构的静动力研究——[I]实验研究

对贮仓结构的静，动力问题进行了系统的实验研究：考虑到地基－结构－散粒体的相互作用，设计并完成了不同地基上的筒仓模型的静，动力试验（包括模型制作，试验和测试方案，数据输入输出及处理）。根据对多种工况试验的观察，得出结论：在地基水平振动的情况下，贮仓内绝大部分的散粒体与仓壁没有相对运动，只有一小部分散粒体脱离仓壁与贮仓有相对运动。     

考虑地基-结构-散粒体相互作用时贮仓结构的静、动力研究[Ⅱ]--有限元分析

对贮仓结构的静、动力问题进行了系统的分析计算：考虑到地基—结构—散粒体间的相互作用，引入新的计算模式，对不同地基上的贮仓结构模型进行了系统的有限元静、动力分析计算，并与作者所完成的试验结果进行了比较。结果表明，所提出的计算模式及有限元计算模型是正确的。     

考虑地基相互作用时筒仓模型的静力实验研究及有限元分析

设计制作了有机玻璃筒仓模型,在空仓及装填了散料（大米）的满仓两种情况下,将筒仓分别置于生地基和用海绵橡胶垫模拟的弹性地基上,实测料仓仓壁及支承筒的静力应变值,并与有限元计算结果进行了比较,两者能够较好地吻合,证明实验是可靠的,所用的力学计算模式及模型分析的简化是正确的。     

薄壁筒仓的振动实验研究

本文设计并完成了不同地基上筒仓模型的动力试验（包括模型试验和测试方案，数据输入输出及处理）。对模型筒仓及原型筒仓分别进行了系统的有限元动力分析计算，并与试验结果进行了比较。结果表明，本文所设计的试验，试验结果及有限元计算模式是正确的。     

移动荷载下路面板-层状多相弹性地基的稳态响应

考虑路面板和地基的相互作用,将路面板作为三维弹性体,建立路面板-层状多相弹性地基动力响应的三维多相层状弹性半空间体模型,分析了移动荷载作用下路面板-多相弹性地基系统的动力响应.将移动单元法引入到两相饱和弹性介质的半解析方法中,构造了随荷载按照相同速度运动的移动层单元,基于移动坐标下两相饱和弹性介质的动力控制方程和边界条件,应用加权残数法建立了两相弹性介质移动层单元动力方程,该方程可退化为单相弹性介质移动层单元动力方程,基于此,建立了移动荷载下多相弹性地基与路面板系统的三维动态响应的统一的半解析方程.并以两相饱和弹性半空间地基-单相弹性地基-路面板所形成的路面结构为例,数值分析了荷载速度、饱和层渗透系数、弹性层厚度等参数对路面板位移和土体孔压响应的影响.研究结果表明移动单元法是研究移动荷载下路面结构动态响应的一种有效的方法.     

考虑动水压力和流固耦合的库水-坝体-地基系统建模与动力分析

结合动水压力模型和罚函数耦合算法，考虑地基和坝体结构的接触以及边界效应，构建动水压力和流固耦合作用下的库水-坝体-地基地震响应分析模型和方法。通过与试验结果及解析解和实测数据对比，验证了本文模型和方法能准确反映系统地震荷载和分析整体耦合系统的动力响应，引入罚函数处理流固耦合界面能提高计算收敛速度。进一步以某重力坝工程实际为背景，验证本文构建的模型和方法适用于库水-坝体-地基耦合系统动力分析的可行性，并分析了地震作用下地基变形对系统动力响应的影响。     

黏弹性地基上功能梯度材料板的振动分析

为研究黏弹性地基上功能梯度材料板的自由和强迫振动特性,基于Reddy高阶剪切变形理论以及由Shen导得的广义Karman型方程,用双重Fourier级数法推导了三参数黏弹性地基上四边简支功能梯度材料板自由振动和动力响应的解析解,计算了各模态自振频率和半波冲击载荷作用下的动力响应,讨论了材料组分指数、黏弹性地基参数、边厚比等因素对自由振动和动力响应的影响.结果表明,黏弹性地基的剪切和压缩刚度显著提升了功能梯度材料板的振动频率,减小了动力响应;另外,地基的黏性对振动频率和动力响应也有一定的影响.     

弹性地基上含孔隙功能梯度材料板的自由振动和动力响应

为研究弹性地基上含孔隙的材料特性沿厚度呈Sigmoid函数变化的功能梯度材料(S-FGM)板的振动特性,本文基于改进的Voigt模型,分别建立了孔隙为均匀分布和非均匀分布两种类型的功能梯度材料的物性参数模型。根据复合材料薄板理论导出了弹性地基上含孔隙的功能梯度材料板的运动方程,用伽辽金法寻求四边简支边界条件下板自由振动和动力响应的解析解;讨论了孔隙、弹性地基参数、材料组分指数等因素对S-FGM板自由振动和动力响应的影响。结果表明:孔隙对板自振频率的影响比较复杂,不仅与孔隙率的大小和分布形式有关,还与弹性地基参数有关;当有弹性地基作用时,板的量纲归一化基频随着孔隙率的增大而提高,并且孔隙均匀分布的S-FGM板与孔隙非均匀分布的情况相比,其量纲归一化基频更高;孔隙增大了板的动力响应,其中孔隙为均匀分布的板的动力响应对孔隙率的变化更为敏感。     

winkler地基上弹性圆薄板受刚体撞击的动力响应

本文针对工程实际中所遇到的撞击问题,在事先仅知撞击体初始速度的条件下,研究分析了半无限粘弹性Winkler地基上的弹性圆薄板受刚体撞击的动力响应问题,推导出了关于撞击力F(t)的非线性Volterra积分方程,给出了薄板位移响应W(r,,t)的一般表达式,并给出了相应的数值求解方法。作为实例,本文对周边固定的弹性圆薄板在圆心处受刚球撞击问题进行了分析计算,并对某些参数的影响进行了讨论。     

Free vibration analysis of general stepped circular plates with internal elastic ring support resting on Winkler foundation by green function method

Natural frequencies are important dynamic characteristics of a structure. Therefore, the exact solution pertaining to free vibration of stepped circular plate elastically restrained against rotation, translation, and internal elastic ring support resting on an arbitrary variable elastic foundation using Green Function is presented in this paper. Thus, an accurate and direct modeling technique is introduced for modeling stepped circular plate on an arbitrary variable elastic foundation with arbitrary boundary conditions and internal elastic ring support. The effect of the translational along with rotational support flexibilities, as well as, the elastic coefficient of Winkler foundation and other parameters are assessed. Finally, some numerical examples are shown in order to present the efficiency and simplicity of the Green Function in the new formulation.     

Vibrations of plates with initial geometrical periodical imperfections interacting with a periodic elastic foundation

Summary  The aim of this contribution is to formulate an engineering theory describing the effect of periodic structure of the elastic foundation on the dynamic behaviour of a plate with geometrical periodical imperfections, Fig. 1. It is shown that the obtained solutions depend on the structure length parameter l of the elastic foundation and the wave length of imperfections. The general results are illustrated by an example and compared with the known theories of orthotropic plates. Received 7 February 1999; accepted for publication 6 October 1999     

CRACK PROPAGATION IN STRUCTURES SUBJECTED TO PERIODIC EXCITATION

In the present paper,a simple mechanical model is developed to predict the dynamic response of a cracked structure subjected to periodic excitation,which has been used to identify the physical mechanisms in leading the growth or arrest of cracking.The structure under consideration consists of a beam with a crack along the axis,and thus,the crack may open in Mode I and in the axial direction propagate when the beam vibrates.In this paper,the system is modeled as a cantilever beam lying on a partial elastic foundation,where the portion of the beam on the foundation represents the intact portion of the beam.Modal analysis is employed to obtain a closed form solution for the structural response.Crack propagation is studied by allowing the elastic foundation to shorten(mimicking crack growth)if a displacement criterion,based on the material toughness,is met.As the crack propagates,the structural model is updated using the new foundation length and the response continues.From this work,two mechanisms for crack arrest are identified.It is also shown that the crack propagation is strongly influenced by the transient response of the structure.     

Analysis of coupled-mode flutter of pipes conveying fluid on the elastic foundation

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Free vibration analysis of a plate on foundation with completely free boundary by finite integral transform method

The theoretical solutions of eigenfrequencies and vibration modes of a rectangular thin plate on an elastic foundation with completely free boundary are derived by using a double finite cosine integral transform method. In the analysis procedure, the elastic foundation is regarded as a Winkler elastic foundation model. Because the basic dynamic elasticity equations of the thin plate on elastic foundation are only used, it is not needed to select the deformation function arbitrarily. Therefore, the solution developed in the present paper is more reasonable and more accurate. To prove the correctness of the solutions, numerical results obtained using the present solutions are compared with those in the literatures.