圆柱壳在线性变化横向载荷作用下的非线性稳定性

海洋平台桩脚及立式海洋石油管线大部分深潜在水中承受随水深变化的外压力.这些工程课题都归结为圆柱壳受线性变化横向载荷的强度和稳定性问题.Weingarten曾对这个问题进行过弹性小挠度屈曲研究.然而海洋管状壳体其直径与厚度之比是较低的     

Analytical Solutions to Expansion of Cylindrical Cavity in Linear Softening Soil

Based on the results of conventional triaxial compression tests for a soil, a trilinear elasto-plastic model is proposed to simulate the stress-strain softening curve. According to this curve, the constitutive relation between the bulk strain and two pr…     

有限变形粘弹性接触的数学规划方法

研究有限变形粘弹性物体间的接触问题，同时考虑了刚体位移和摩擦等因素，导得该问题数学规划解法的标准形式，极易利用现有算法求解。     

粘弹性几何非线性夹层梁动响应分析

本文选用考虑横向剪切效应的退化梁单元，引入几何非线性假设，对具粘弹性阻尼层的夹层梁动响应及其衰减效果进行了研究，得到了一些具有应用价值的结论。     

大型多支承变刚度回转窑支承载荷分配问题

回转窑是冶金、水泥、耐火材料生产中的核心设备，是一种重载、大扭矩、多支点、静不定运行系统，由于其载荷和刚度分布复杂、各支承存在偏移，作用在它托轮上的支承载荷分配严重不均。本文针对回转窑载荷和刚度分布的特点，建立支承载荷求解的力学模型和线性方程组，导出支承载荷分配与支承偏差的关系式；用该方法对现场回转窑进行计算，得出该窑支承载荷分配的线性公式和一些分析结论，为生产中回转窑的状态分析、优化调控提供依据。     

A SINGULAR VALUE DECOMPOSITION BASED TRUNCATION ALGORITHM IN SOLVING THE STRUCTURAL DAMAGE EQUATIONS

The structural damage identification through modal data often leads to solving a set of linear equations. Special numerical treatment is sometimes required for an accurate and stable solution owing to the ill conditioning of the equations. Based on the singular value decomposition (SVD) of the coefficient matrix, an error based truncation algorithm is proposed in this paper. By rejection of selected small singular values, the influence of noise can be reduced. A simply-supported beam is used as a simulation example to compare the results to other methods.Illustrative numerical examples demonstrate the good efficiency and stability of the algorithm in the nondestructive identification of structural damage through modal data.     

压电材料椭圆切口的力学分析

在线性压电本构方程框架下，用复势函数方法对椭圆切口模型进行了精确的数值计算。完整地考虑了各向异性力电耦合效应以及切口内不同电介质的介电性质。给出了切口内部不同介电性质对压电材料内部应力的影响。指出了Sosa文章里的一些计算错误。由于现在文献中很少有关于电导通边界条件下理论解的数值结果，所以本文同时提供了不同电边界条件下理论解的数值结果，所以本文同时提供了不同电边界条件下的理论解的数值结果。最后通过最小势能原理建立了8结点有限元模型，对椭圆切口问题进行了计算并与理论解进行了仔细比较。     

一种车载组合导航系统的联邦滤波新算法

针对车载GPS/DR组合导航系统的特点,提出了一种新的联邦滤波算法.子滤波器由两个滤波器构成:一个是卡尔曼滤波器,另一个是Unscented卡尔曼滤波器(UKF),它们分别处理GPS子系统和DR子系统的信息.UKF是一种较新的非线性滤波方法,相对传统的非线性滤波器EKF具有更高的滤波精度和更高的计算效率.联邦滤波器的信息分配因子采用一种基于观测误差的最小均方误差形式,最佳地融合了传感器的输出信息.这种结构降低了联邦滤波器的计算难度和计算量,提高了组合导航系统的可靠性和容错性.仿真结果表明,提出算法的定位精度很高,与UKF算法的效果相当.     

On decentralized stabilization of linear large scale systems with symmetric circulant structure

The decentralized stabilization of continuous and discrete linear large scale systems with symmetric circulant structure was studied. A few sufficient conditions on decentralized stabilization of such systems were proposed. For the continuous systems, by introducing a concept called the magnitude of interconnected structure, a very important property that the decentralized stabilization of such systems is fully determined by the structure of each isolated subsystem that is obtained when the magnitude of interconnected structure of the overall system is given. So the decentralized stabilization of such systems can be got by only appropriately designing or modifying the structure of each isolated subsystem, no matter how complicated the interconnected structure of the overall system is. A algorithm for obtaining decentralized state feedback to stabilize the overall system is given. The discrete systems were also discussed. The results show that there is a great dfference on decentralized stabilization between continuous case and discrete case.