应力波作用下岩石声发射能量特征

通过霍普金森(SHPB)实验系统,对应力波作用下岩石破坏进行声发射实验,获得了该加载条件花岗岩声发射能量的变化规律.实验结果表明,声发射能量变化呈现出两种明显不同的特征:I型,声发射峰值能量之后,能量迅速衰减,到加载的末期,能量出现一定的回升,产生“拐点”;Ⅱ型,声发射峰值能量之后,能量衰减相对Ⅰ型较慢,且不出现“拐点”.通过对岩石破碎块度的分析,得到了声发射峰值能量与岩石破碎分维之间的关系.本文的研究有助于重新寻求应力波下岩石破坏的声发射前兆规律.     

基于平板振动精确化方程求解动应力集中问题

基于文献[8]给出的平板弯曲振动精确化方程,对含圆孔平板中弹性波散射与动应力集中问题进行了研究.文中给出了分别基于Mindlin板与精确化板方程在不同参数下圆孔动弯矩集中系数的数值结果,并对结果进行了对比分析和讨论.结果表明:在较低频率和薄板情况下,基于文献[8]的方程与基于Mindlin板理论得到的动弯矩结果是基本一致的;在较高频率和厚板情况下,基于文献[8]的方程与基于Mindlin板理论的动弯矩结果相差较大,最大值超出可达16%.由于文献[8]给出的平板振动精确化方程是在没有任何工程假设条件下得到的,因此其分析计算结果更精确一些.      

ARALL层板撞击应力波传播特性的研究

对于ＡＲＡＬＬ层板受硬物撞击所激发的应力波的传播问题，以粘弹性表征阻尼，采用一阶剪切理论在柱坐标系统中建立动力学方程组，寻求柱面波的解答，求得沿不同方向传播的应力波的相速度谱及衰减谱。采用动态实时实验技术，进行了大尺寸ＡＲＡＬＬ层板撞击应力波的实验研究。对比结果表明，不同方向弥散特性的理论预测与实测符合良好，衰减谱的测定离散性较大，其预测方法有待于进一步验证。     

绝热指数γ对平面爆轰过程中不同复合波区的参数特性影响分析

爆炸气体产物冲击膨胀过程中会形成多种复合波区,当爆炸气体绝热指数γ不同时其波区衰减特性差异较大。为研究不同γ条件下（γ＞3,γ=3,γ＜3）复合波区的特性差异,基于特征线法,对一平面爆轰过程中不同复合波区的波系相交特性进行了规律分析,并利用MATLAB对该平面爆轰过程进行流场模拟,验证并分析了不同复合波区流场内的参数变化特性。对比发现,γ不同时复合波区衰减特性的差异主要体现在与质点速度和气体声速相关的u-c平面特性上,其中在两中心稀疏波相交的复合波区,其差异还体现当γ≠3时相交的中心稀疏波不再具有中心发散特性。对爆炸过程中各波区特性的分析可为全面了解各特征参数的衰减规律提供参考。     

黄土和砂土岩中填实爆炸辐射弹性波的对比研究

研究地下爆炸弹性区的震动特性,关键是获得场地介质与爆炸能量耦合作用下辐射弹性波的实验参数。对于不易加工成大尺寸模型的砂土岩,为研究其填实爆炸下辐射弹性波的特征,采用0.125 g TNT微型炸药球作为爆炸源,以塑性区可置换的?1 370 mm×1 200 mm黄土样品作为提供应力波传播路径的载体,用波阻抗近似相等的重塑黄土和砂土岩样品分别作为源区介质,对比分析了两种介质中微药量填实爆炸辐射的弹性波传播特征。实验结果表明:在测试范围内,两种介质中填实爆炸激发的弹性应力波粒子速度(位移)峰值的衰减规律、波形的主频变化规律一致;砂土岩中爆炸辐射的弹性波粒子速度(位移)峰值整体高于黄土、粒子速度波形的半高宽和主频低于黄土;砂土岩中爆炸耦合的向外传播的弹性波能量比黄土大。实测结果反映,黄土和砂土岩中填实爆炸弹性波能量耦合强度的差别。     

岩石在不同加载波条件下能量耗散的理论探讨

采用脆性体动态断裂准则和富氏分析方法，给出了矩形波、钟形波和指数衰减波加载于岩石的能量耗散差异。在此基础上，就应力脉冲的形状、延续时间等对岩石破碎效果的影响进行了讨论，得到了与不同加载波下岩石耗能实验研究相吻合的结果。     

一种鲁棒的HLLC格式及其稳定性分析

精确捕捉接触波和剪切波的Godunov型数值方法,如流行的HLLC格式,在模拟高超声速流动问题时会出现激波异常现象。对HLLC格式进行稳定性分析发现,流体主流方向的扰动都能有效衰减,但是横向的密度与剪切速度的扰动不会衰减。具有特殊对称性的二维Sedov爆轰波问题证明了横向通量和不稳定现象之间的密切联系。利用压力比和马赫数来探测数值激波层亚声速区的横向网格界面,并且在该界面的数值通量上增加熵波粘性和剪切波粘性来构造一种激波稳定的HLLC格式。分析表明,在熵波粘性和剪切波粘性的作用下,横向的所有扰动都会衰减。一系列数值测试证明了新格式不仅可以成功地抑制各类激波异常现象,还保留了原HLLC格式低耗散性的优点。     

动静组合加载下岩石破坏的声发射实验

在霍普金森(SHPB)实验系统上进行了动静组合加载下岩石破坏的声发射实验,获得了动静组合加载下花岗岩声发射能量的变化规律。结果表明,动静组合加载下声发射能量规律呈现出2种明显不同的特征:I型,声发射峰值能量之后,能量迅速衰减,到加载末期,能量出现一定的回升,产生了拐点;II型,声发射峰值能量之后,能量衰减相对I型较慢,且不出现拐点。分别讨论了轴向静载和动载应变率对声发射能量的影响:声发射峰值能量随轴向静载增大而减小;当轴向静载位于岩石弹性段时,峰前声发射能量随静载缓慢增大,当轴向静载超过弹性段时,峰前声发射能量随轴向静载增大而急剧增大;声发射峰值能量和峰前能量均随动载应变率增大而减小。本研究对于重新寻求动静组合加载下岩石破坏的声发射前兆规律具有理论和实践意义。 更多还原     

含孔平板弹性波散射问题的复变函数方法

本文采用平板弯曲波动理论及复变函数方法，对平板开孔弹性波的散射及动应力集中问题进行了分析研究，得到了传播急剧记波时此种平板弯曲波动问题的分析解。若同时采用保角射技术，就为主解平板任意形状开孔弹性波的散射及动应力集中问题提供了一种统一规范的方法。作为算例，本文给出了平板开圆孔和椭圆孔附近的动应力集中系数的数值结果，并对其进行了讨论。     

Lamb波在复合材料板中传播的谱有限元模拟

众所周知Lamb波在复合材料中的传播呈各向异性的特点,经典有限元法模拟这类问题效率不高,所以,本文采用谱有限元法进行研究。先建立了一种新的谱有限板单元,该单元以Gauss-Lobatto-Legendre点作为节点,使质量矩阵是对角矩阵;另外,该单元采用了扩展的位移场,能够较好地模拟板结构的三维特性。然后,对复合材料板结构中Lamb波在对称模式与反对称模式下的传播速度进行了求解,将计算结果与Mindlin板谱单元的结果以及三维弹性理论的结果进行了比较,并讨论了Lamb波在反对称层合板中的传播特点。最后,模拟了Lamb波在含和不含损伤复合材料层合板中的传播,数值结果表明所建立的谱有限板单元可以较好地模拟出Lamb波在复合材料板结构中的传播特性。     

偏压电场对压电板中Lamb波相速度的影响

本文研究了偏压电场作用下,Lamb波在压电板中的传播行为，首先给出了偏压电场作用时压电板中的应力场及电位移场，然后通过求解含初应力及初电位移的小幅波动问题的耦合方程，分别给出了Lamb波的对称模态和反对称模态的相速度方程，以典型的PZT－5H压电陶瓷板为例进行了数值计算,并讨论了偏压电场对Lamb波相速度及频散曲线的影响，结果表明，偏压电场可以显著地改变Lamb波的传播速度，借此可使声波器件获得延时效果。     

具有压电材料弹性环形板的屈曲

对在不同位置粘有任意多对压电片的弹性环形板在电压和径向压力作用下的轴对称屈曲进行了研究．根据压电效应的等效作用量，初参数法以及传递矩阵方法得到了环板屈曲的特征方程．对不同位置及不同宽度的压电片，计算了结构的屈曲载荷．并得到了稳定性边界曲线．     

功能梯度压电材料圆板的简化理论与解析解

提出了功能梯度圆板在轴对称载荷作用下的简化理论与解析解. 引入了板理论的若干假设(Kirchhoff假设的一部分,Reissner-Mindlin假设和文中提出的假设),并假设材料常数在板厚方向按指数规律变化. 推导了板的周边固定或简支同时又接地情况下中性层法线转角的解和用Fourier-Bessel级数表示的电势解. 这个解在形式上比精确解简单得多,进行数值计算时也相当方便与快捷. 该文给出了板的周边固定、接地情况下的计算结果并进行了讨论,对于理论和方法的正确性作了验证.      

Experimental Ivestigation of the Temperature and Pore Pressure Effect on Permeability of Lignite Under the In Situ Condition

The worldwide primary demand of energy will keep rising over the coming decades. It becomes essential and desirable to exploit lignite, 23 % reservation of the whole coal energy, by a suitable and effective technique. However, the current technology limitations of the exploiting and utilizing of lignite have caused low exploiting rate and high pollution situation. Owing to the development of the in situ gasification techniques, the lignite has become more attractive in the energy field than ever. The permeability of coal is a crucial factor in determining the tars (liquid phases) and gases production during the in situ gasification process. And the transport properties of the coal will in turn affect the thermal and chemical-mechanical reactions. Here, in this work, the permeability of lignite has been tested from room temperature (25  $^{\circ }$ C) up to as high as 650  $^{\circ }$ C through a triaxial rock permeability testing system under different pore pressures. A remarkable decrease of permeability can be observed during the whole temperature zone (25–650  $^{\circ }$ C) as the pore pressure increasing. The permeability curve versus temperature up to 650  $^{\circ }$ C has been divided into four stages based on the three peak values of the permeability. The competition between the strength of the frame structure with the shrinkage due to pyrolysis determines the significant fluctuation of the permeability versus temperature. Furthermore, the combined effect of temperature and pressure shows that the valleys and peaks in stage II will shift to higher temperature zone, while the valleys and peaks stay in the same temperature place in stage III and IV. The current investigation results of the permeability property of lignite will provide essential and valuable information for the exploiting and utilizing of lignite, especially by the in situ pyrolysis technique.     

含压电片层合板的静变形控制

借助阶梯函数，建立了含有任意分布的用作执行器的的压电片的层合板弯曲方程，然后利用该方程，进行了层合板静变形控制的研究，最后给实例，用“遗传＋配点”法对压电片的位置和尺寸进行了优化。结果表明，用压电片作执行器，用“遗传＋配点”法进行优化是对板进行静力变形控制的一条有效途径。     

Forced convection heat transfer and friction characteristics in multi-exit -rectangular package with inclined tube bundles

An experiment was carried out to investigate the characteristics of the heat transfer and pressure drop for forced convection airflow over tube bundles that are inclined relative to the on-coming flow in a rectangular package with one outlet and two inlets. The experiments included a wide range of angles of attack and were extended over a Reynolds number range from about 250 to 12,500. Correlations for the Nusselt number and pressure drop factor are reported and discussed. As a result, it was found that at a fixed Re, for the tube bundles with attack angle of 45 ° has the best heat transfer coefficient, followed by 60, 75 and 90 °, respectively. This investigation also introduces the factors which can be used for finding the heat transfer and the pressure drop factor on the tube bundles positioned at different angles to the flow direction. Moreover, no perceptible dependence of Cand C on Re was detected. In addition, flow visualizations were explored to broaden our fundamental understanding of the heat transfer for the present study.     

Active vibration control of thin constrained composite damping plates with double piezoelectric layers

Vibrations and the damping behaviour of thin constrained composite plates with double piezoelectric layers are analytically explored by using Fourier transformation and classical laminated plate theory. Electric potential equations in the double piezoelectric layers are solved with respect to closed and open circuit boundary conditions, an exterior dielectric slab and active control. The natural frequencies and loss factors of the constrained smart composite plates with passive control methods are not notably changed in comparison with those of the constrained composite plates without piezoelectric effects since vibrational energy does not efficiently convert to electrical energy. The loss factors of the composite plates with active constrained damping increase and the natural frequencies have significant variations as the proportional derivative gains increase. Transverse displacement power spectra of the piezoelectric composite plates with active control are compared with those of the piezoelectric composite plates with passive control showing that active control has the best suppression performance of vibrations for the constrained laminated plates with double piezoelectric layers. Radial power spectral density, phase angles and cylindrical-wave power spectral density are calculated. Interesting patterns of wave propagation are explained when plane wave expansion is used to obtain Bessel cylindrical waves.     

孤立波与淹没平板相互作用的三维波面和水动力实验研究

在波浪水池中进行了孤立波作用下有限长度和有限宽度淹没平板的三维模型水池实验. 首次应用多目视觉立体重构技术测量局部三维自由表面变形, 该系统的有效测量水平范围为1.7 m$\times $1.6 m. 用4个三分力测力传感器组成水下测力系统, 在不影响波面的情况下测量孤立波对平板的作用力和力矩. 针对波浪不破碎的情况, 选择0.4 m水深和0.16 m波高的来波条件, 平板淹没深度为0.1 m. 实验结果表明, 孤立波经过淹没平板时自由面有明显的三维变形, 导致孤立波波幅的时空变化. 波幅在平板尾缘中心线处达到最大值, 并沿展向逐渐减小. 利用多目视觉立体重构系统得到的波面变化过程与浪高仪给出定点波面时间序列相互印证, 表明建立标识码波面测量方法是有效的. 孤立波对淹没平板作用的水动力载荷变化分为6个典型阶段, 并与利用波面三维重构得到的波面测量标识码并讨论. 基于多目视觉立体重构技术得到了垂向力和俯仰力矩极值点出现时的三维波面形态. 建立的多目视觉立体重构系统将为海洋工程结构物的水池物理模型实验提供新的波面测量手段.      

Dynamic bending of a symmetric piezoelectric laminated plate with a through crack

The dynamic theory of linear piezoelectricity is applied to analyze the scattering of time harmonic flexural waves by a through crack in a symmetric piezoelectric laminated plate subjected to electric field loading. An incident wave giving rise to moments symmetric about the crack plane is considered. Piezoelectric layers are added to the upper and lower surfaces. Classical lamination theory is extended to include dynamic piezoelectric effects. Fourier transforms are used to reduce the problem to the solution of a pair of dual integral equations, the solution of which is then expressed in terms of a Fredholm integral equation of the second kind. The dynamic moment intensity factor vs. frequency is computed and the influence of the electric field on the normalized values is displayed graphically.     

ACOUSTIC REFLECTION FROM A PERIODIC ELASTIC／PIEZOELECTRIC PLATE

The acoustic reflected pressure from a periodic elastic/piezoelectric laminated plate is studied for the purpose of acoustic reflection control. A finite difference/boundary integral procedure to determine the reflected pressure from the fluid-loaded plate is described. In the numerical model, a Green‘s function in the form of infinite sum is employed and a boundary integral is performed to replace the fluid pressure at fluid/solid interface by a continuum of point sources weighted by the normal acceleration of the elastic plate. The equation system is then solved only in the solid domain. It is demonstrated that an appropriate applied voltage potential across the piezoelectric layer has the effect of cancelling the fundamental propagating mode, and there is no reflection for frequencies up to the cut-off frequency of the next propagating mode if the fundamental mode has been eliminated.