电磁波导的半解析辛分析

根据电磁波导的Hamilton体系，辛几何可用于任意各向异性材料，而且便于处理不同区段的界面条件，横向的电场和磁场构成了对偶向量．基于Hamilton变分原理用半解析法进行横向离散应当保持体系的辛结构．离散后可以运用应用力学的有效算法，求解其辛本征值问题．每段波导可以引入两端Riccati矩阵，用精细积分法求解其方程组．     

变截面电磁波导的辛分析

电磁波导的求解可将基本方程导向Hamilton体系、辛几何的形式。横向的电场和磁场构成了对偶向量。辛体系便于处理不同介质波导的界面连接条件。正则对偶方程、分离变量法、Hamilton算子矩阵本征值问题、共轭辛正交归一关系、本征解的展开定理等整套理论,可以适用于多种波导的课题,有利于不同截面的波导连接、以及与共振腔的连接等。本文分析了两段不同材料不同截面对接的平面波导作为例题,表明辛体系用于波导的分析是有力的。     

电磁波导的通过谱计算

将电场和磁场变量构成对偶向量,将电磁波导的基本方程导向Hamilton体系、辛几何的形式。建立电磁波导问题的变分原理,构造电磁辛有限元。通过对本征值问题的求解,确定电磁波导的传播常数。采用主-从控制方法处理不同介质的界面条件。以不同截面形状的波导和部分填充波导为例进行了计算和分析,数值算例表明,辛体系用于电磁波导分析是有效的。辛体系在应用力学中的应用已经取得了很大成功,不同学科之间的交错对于电磁波导的分析是很有利的。     

电磁波导辛体系下的周期皱波导分析

基于Hamilton变分原理的电磁波导辛体系自建立以来解决了传统电磁有限元所不能解决的一些问题。本文在介绍这一体系之后，经半解析横向离散及辛正则化，给出了类凝聚和协调质量阵。针对常见的周期皱波导问题，引入等效折射率概念，将皱波导转化为折射率周期变化的多层薄膜，并将其对应为力学分析中的条形域问题。最后给出的数值例子中所计算的通带辛本征值与解析解很接近，表明该理论方法有很高的计算效率。     

弹性地基上Euler-Bernoulli梁的热屈曲模态跃迁特性

采用解析方法研究了置于线性弹性地基上的Euler-Bernoulli梁在均匀升温载荷作用下的临界屈曲模态跃迁特性;分别在两端不可移简支和夹紧边界条件下,给出了弹性梁屈曲模态跃迁点的地基刚度值以及屈曲载荷值的精确表达式,并分析了模态跃迁特点.结果表明:随着地基刚度参数值的增大临界屈曲模态通过跃迁点从低阶次向高阶次跃迁;两端简支梁的模态跃迁具有突变特性,而两端夹紧梁的模态跃迁则是一个缓慢变化过程,它是通过端截面的弯矩或曲率的正负号改变实现的.     

周期波导中弹性波局部化问题的研究

基于弹性波传递矩阵方法，对周期波导中弹性波局部化问题进行了分析研究。根据互易性原理和能量地恒定律，给出了结构弹性波传递矩阵的一般表达式。采用两种求解局部化因子的计算方法，分别计算了谐和与失谐周期波导中的局部化因子，并对其进行了分析讨论。本文对周期波导中波传播与振动局部化的分析方法和计算结果可用于结构的优化设计。     

半椭圆和半圆环截面弯曲中心的分析解

本文利用对称截面悬臂梁在力作用下的弯曲解,推导出半椭圆截面和半圆环截面弯曲中心的分析解。在推导过程中算出了半椭圆截面扭转刚度的精确解,并在椭圆长短轴相等和圆环内半径趋于零的两种情况,分别给出半圆环截面弯曲中心的分析解。     

花键轴截面抗扭刚度的研究

本文应用电磁涡流比拟方法对花键轴截面的抗扭刚度进行了实验测试,并根据实测的数值结果提出了经验计算公式.还可据此换算得出"抗扭截面模量W_n"值.     

电磁对偶有限元及在波导计算中的应用

力学中的Hamilton体系采用对偶变量描述问题。电磁场采用电场和磁场两类变量描述问题。将力学中的Hamilton体系引入到电磁场问题中，电场变量和磁场变量构成对偶变量，把频域电磁场的基本方程导向对偶方程形式，建立电磁场有限元所需的对偶变量变分原理，由此推导出电磁对偶有限元。将电磁对偶有限元应用于电磁波导计算中，可确定电磁波导的传播常数。文中给出了用电磁对偶有限元方法，计算矩形波导不同模式对应的传播常数的数值计算结果。     

电磁轴承系统的刚度阻尼特性分析

分析了电磁轴承系统的刚度阻尼特性与系统结构参数及其控制器频响特性之间的关系。给出了系统控制电流的相位对系统稳定性和刚度阻尼特性的影响。提出了电磁轴承系统的复阻尼概念，以及部分刚度阻尼特性指标的实际意义和计算方法。     

Nonlinear kinetostatic modeling of double-tensural fully-compliant bistable mechanisms

In double-tensural fully compliant bistable mechanisms (DTBMs), all of the compliant segments are loaded in tension when deflected, thus the problems associated with buckling are avoided. Because the stiffening of the compliant segments due to tensile loads plays an important role in achieving the bistable behaviors, it is critical to capture the relevant geometric nonlinearities when modeling DTBMs. Based on the beam constraint model (BCM) and the chained beam constraint model (CBCM), two kinetostatic models are developed for DTBMs in this work: Model I models both of the tensural segments using BCM, while Model II models the shorter tensural segment using BCM and the longer tensural segment using CBCM with two BCM elements. The two models well predict the bistability and the kinetostatic behaviors of a DTBM as compared to the finite element results. Although Model II is a little more complicated than Model I, it improves the modeling accuracy, especially at the negative stiffness region of the kinetostatic curve.     

Efficient computation for dynamic responses of systems with time-varying characteristics

Based on Neumman series and epsilon-algorithm, an efficient computation for dynamic responses of systems with arbitrary time-varying characteristics is investigated. Avoiding the calculation for the inverses of the equivalent stiffness matrices in each time step, the computation effort of the proposed method is reduced compared with the full analysis of Newmark method. The validity and applications of the proposed method are illustrated by a 4-DOF spring-mass system with periodical time-varying stiffness properties and a truss structure with arbitrary time-varying lumped mass. It shows that good approximate results can be obtained by the proposed method compared with the responses obtained by the full analysis of Newmark method.     

Finite displacement static analysis of thin plate with an opening––a variational approach

A generalized work–energy method for the linear and geometrically nonlinear static analysis of thin isotropic plate with a cutout is presented. The plate geometry is divided into few quadrilateral segments. Each segment is defined by four curved edges and the natural coordinates in conjunction with the Cartesian coordinates are used in formulating the stiffness matrix and the load vector. Two different sets of interpolating functions are used for the geometric and displacement representations respectively. The matrix equation of equilibrium is derived from the variational principle. By exploiting the geometric symmetry, numerical results are obtained for the following examples: (a) square plate with circular opening at the centre and (b) circular plate with circular or square inner boundary. The plates are subjected to uniformly distributed load and both the pinned and fixed outside boundary conditions are considered. Very good comparison is observed between the present results and those published in the literature for the fixed square plate without an opening. Effects of the opening size on the displacement are examined in detail.     

Buckling optimization of flexible columns

A novel approach to the optimization of flexible columns against buckling is presented. Previous published studies, considering either continuous or discrete finite element models, are always constrained to specific relations between stiffness and mass distributions of the column. These, besides yielding impractical configurations that do not conform to manufacturing and production requirements, result in designs that are certainly suboptimal. The present model formulation considers columns that can be practically made of uniform segments with the true design variables defined to be the cross-sectional area, radius of gyration and length of each segment. Exact structural analysis is performed, ensuring the attainment of the absolute maximum critical buckling load for any number of segments, type of cross section and type of boundary conditions. Detailed results are presented and discussed for clamped columns having either solid or tubular cross-sectional configurations, where useful design trends have been recommended for optimum patterns with two, three and more segments. It is shown that the developed optimization model, which is not restricted to specific properties of the cross section, can give higher values of the critical load than those obtained from constrained-continuous shape optimization. In fact, the model has succeeded in arriving at the global optimal column designs having the absolute maximum buckling load without violating the economic feasibility requirements.     

半刚接钢框架的动力分析

推导了半刚接钢框架动力有限元的质量矩阵和刚度矩阵．建立了具有不同节点初始刚度的半刚接多层钢框架及相应刚性框架的计算模型．采用ANSYS软件进行数值模拟分析，研究了节点刚度对结构自振频率的影响以及结构在谐振荷载作用下的响应，对地震波激励下的结构进行了时程分析．分析结果表明不半刚接框架节点的柔性对结构自振频率产生较大的影响，节点柔性越大，结构自振频率降低也越大，结构的抗震设计应考虑节点柔性的影响；半刚接钢框架顶点位移和柱底剪力时程曲线在地震波激励时间内表现出良好的稳定性，柔性连接可以代替刚性节点用于抗震区的钢框架设计中．     

Crack synchronization of chaotic circuits under field coupling

Nonlinear electric devices are important and essential for setting circuits so that chaotic outputs or periodical series can be generated. Chaotic circuits can be mapped into dimensionless dynamical systems by using scale transformation, and thus, synchronization control can be further investigated in numerical way. In case of synchronization approach, resistor is often used to bridge two chaotic circuits and gap junction connection is used to realize possible synchronization. In fact, complex electromagnetic effect in circuits should be considered when the capacitor and inductor (inductance coil) are attacked by high-frequency signals or noise-like disturbance. In this paper, two chaotic circuits are connected by using voltage coupling (via resistor) and triggering mutual induction electromotive force, which time-varying magnetic field is generated in the inductance coils. Therefore, magnetic field coupling is realized between two isolate inductance coils and induction electromotive force is generated to adjust the oscillation in circuits. It is found that field coupling can modulate the synchronization behaviors of chaotic circuits. In case of periodical oscillating state, the synchronization between two periodical circuits under voltage coupling is destroyed when field coupling is considered. Furthermore, the synchronization between chaotic circuits becomes more difficult when field coupling is triggered. Open problems for this topic are proposed for further investigation.     

半刚性连接钢框架的拟动力实验研究

在钢框架结构的设计中, 通常将梁柱节点处理为完全刚接或理想的铰接.但是在实际框架中, 梁柱节点表现出半刚性.目前的实验研究基本都基于结构和构件的静力分析.本文对半刚性连接钢框架结构进行了拟动力实验研究,得出了在地震波激励作用下,半刚性节点初始刚度对钢框架的楼层刚度、基底剪力、楼层位移和楼层加速度的影响.对实验结果进行对比分析可以看出,在结构侧向位移满足的前提下半刚性连接刚度的减弱会引起结构作用效应的降低.实验总结出的节点半刚性对结构动力性能影响的一些结论,将为高层钢结构设计规范的修改提供实验基础.     

半刚性钢框架的内力分析

采用二阶非线性分析方法分析和设计半刚性钢框架，包括连接的柔性以及构件的几何非线性的影响，提出了半刚性钢框架中梁柱单元刚度矩阵和半刚性梁的单元刚度矩阵；推导了半刚性梁在集中荷载，均布荷载，线性荷载作用下的固端弯矩的求解公式；连接的柔性对无支撑框架的侧移有很大的影响，设计时通过变化连接的刚度以平衡梁的跨中和端弯矩。