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The control-augmented structural synthesis is an extreme value problem of the multi-peaks function, in which multiple optimal or near-optimal solutions are existed.

对于压电耦合结构、控制一体化设计这类多峰值函数的极值问题,有多个相等或不等的最优解〔次优解〕,因此得到不同的可替代解具有很大的实用性。

This paper set out from the high order shear deformation theory at first, and utilize the spline finite point method to set up a new dynamic model of piezoelectric intellectual plate. Secondly ,a corresponding MATLAB program is written according to the theory, and has analysed the deformation of the piezoelectric intellectual plate. In the end , this paper has analysed the vibration control of the piezoelectric intellectual plate. Some results are compared with the analytic values, and have proved the rationality of the results of this paper.

本文首先从高阶剪切变形理论出发,利用样条有限点法,建立了压电智能层合板新的动力模型;其次,利用MATLAB语言编写了相应的计算机程序,对压电智能层合板的变形进行了分析;最后分析了压电智能层合板振动控制问题;其中一部分结果与相应的解析解作了详细的比较,证明了本文结果的合理性。

According to the plane cross section assumption, configuration of a rod is expressed as a history of the cross section with arc coordinate. A special solution which stands for equilibrium in straight line state is obtained from differential equilibrium equation. Linear perturbation equation is derived and its general solution is obtained in which the integral constants are determined by constrained conditions at two ends of the rod. The condition of existence of non zero solution of the integral constants gives to the Greenhill formula of exact elastic rod model, which shows that the boundary of stable area is a closed curve and of symmetry, and inference of shearable and extensible to stability of the rod is depend on three factors: difference between flexibility of shear and extension of a section of the rod, bending stiffness and the length of the rod.

基于平面截面假定,弹性杆的位形表达为截面的弧坐标历程,根据平衡微分方程得到了两端受力螺旋作用时的直线平衡特解,导出了线性化扰动方程及其通解,积分常数根据两端铰支时的边界条件确定,并根据其存在非零解的条件得到弹性直杆精确模型的Greenhill公式,表明稳定域为一对称的封闭区域,拉/压和剪切对稳定性的影响取决于:拉/压柔度与剪切柔度之差,抗弯刚度和杆长这三个因素

The influence of the structure and material parameters on static and dynamic characteristics is studied. The three dimensional static analysis is obtained by the power series expansion method for a piezoelectric composite laminates. Three dimensional distribution of bonding stress, displacement and electric potential are presented. The distributions of electric potential across thickness of two kinds piezoelectric materials are discussed.

对于静态问题,采用三维精确解方法,给出了压电层与基体之间剪应力、位移、电势的三维分布图;讨论了工程中常用的两类压电材料在感知和作动情况下沿压电材料厚度方向电势的分布情况,分析了电势可看作线性分布的条件;讨论了压电层和粘结层的厚度及材料特性变化对压电感知和作动效果的影响,并对压电层的厚度作了优化分析。

In this thesis, the barotropic primitive equation under the rectangular coordinate system and atmospheric circulation equation under p coordinate system are.

从正压原始方程开始,运用分层理论研究大气环流方程组定解问题的适定性,以及适定的定解问题(包括初值问题、边值问题和混合问题)在解析函数类空间准确解的求解方法。

Based on stratification theory, begin with the barotropic primitive equation, some theoretical problems of atmospheric equations are discussed, including the well posedness of their initial value problem, boundary value problem and mixed problem.

摘要从正压原始方程开始,运用分层理论研究大气环流方程组定解问题的适定性,以及适定的定解问题(包括初值问题、边值问题和混合问题)在解析函数类空间准确解的求解方法。

Shakedown analysis of a thick spherical shell of material with different strength in tension and compression was carried out.

对拉压强度不同材料厚壁球壳进行了安定分析,得出了球壳加载应力场、残余应力场及安定极限的解析解,所得的解能反映材料拉压强度差效应。

Results show that with the increase of the apparent gas velocity in the riser,there is little change in negative pressure gradient in the standpipe.

结果表明:随着提升管内表观气速的增加,立管内的负压差梯度变化不大;而随着系统循环量的增加,立管内的负压差梯度以及滑移速度均增大;随着加入热解室内松动气量的增加,立管内尤其是立管上部的压力也随之增大,热解室内无论是移动床流动还是流态化流动均对立管的稳定性影响不大;但当热解室内的压力超过某一值时,立管内的料封很快被破坏,导致系统无法运行。

Based on an analytical solution of 1-D unsteady flow, a set of analytical solutions of 2-D and 3-D unsteady perfect isentropic gas flow is developed.

根据以前寻找解析解的经验,导出了一套不定常二维、三维完全气体无粘可压流动的解析解,它可能是国际上唯一的二元、三元不定常可压流动的解析解。

The paper describes how the local force of the main web is considered as the force caused by the Contact pressure among the trolley wheel, rail and top flange, and how the contact analysis model for the local force is built by means of both Hertz theory and finite element software ANSYS combined. Also, it analyzes the variation of the local stress under the different conditions and comes to a conclusion, and compares the results derived from the experimental formula with the result from ANSYS.

本论文的主要内容:将Hertz接触理论和有限元软件ANSYS结合起来,把主腹板的局部受力问题视为小车轮与轨道及轨道与上翼缘板之间发生接触行为作用下的受力问题,建立了小车轮压作用处偏轨箱形梁主腹板局部受力的接触分析模型,研究不同情况(小车轮压、箱形梁几何参数和轨道截面惯性矩)下局部应力的变化规律,得出相关结论;最后将经验公式解与ANSYS数值解进行对比分析论证。

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