A Koiter''s perturbation strategy for the imperfection sensitivity analysis of thin-walled structures with residual stresses

This paper suggests a strategy for the imperfection sensitivity analysis of elastic thin-walled structures with notable residual stresses. The analysis is carried out by means of a Koiter's perturbation approach. The concept of imperfection, traditionally associated with geometric and load factors, is extended in this paper to the residual stresses. The strategy is implemented in a FEM code. A comparison of the obtained results allows a discussion on the accuracy and the influence of the different coefficients connected to the asymptotic analysis of the residual stresses.     

电离法测量~(60)Coγ射线在石墨体内吸收剂量的扰动修正

本文主要介绍用改变空腔体积的直线外推法测量指形石墨电离室在石墨模体内的扰动修正因子 k_p 的方法和结果。采用一组形状和外径(φ=13.5mm)完全相同、空腔有效体积υ分别为0.4923、0.6832、0.9060、1.2092、1.4713和1.8818cm~3的6个指形石墨电离室,放置在距离模体表面深度 h为5.13g/cm~2的石墨模体内,在准直~(60)Co γ射线束照射下,测量了空腔内单位质量空气中的电离电荷 J_(?)随υ的变化曲线;由该曲线外推得到υ=0时的 J_a 值,即(J_a)_0;再求得 k_p=(J_a)_0/(J_a)_v)值及其随υ的变化曲线。得到回归方程为 k_p=1.000—8.24×10~(-3)υ。所得 k_p 值,可用于指形石墨电离室测量石墨模体内吸收剂量时的扰动修正。     

有限精度混沌系统的m序列扰动实现

本文研究利用ｍ序列的扰动来实现有限精度混沌系统的方法，考察了扰动序列的周期，幅度以及扰动分布对混沌信号特性的影响，研究表明，扰动ｍ序列所需的阶数取决于混沌序列所需要达到的周期长度，扰动的位数取决于混沌映射的最大斜率，随着混沌系统实现粗度的提高，所需的扰动幅度呈指数减小。     

Variety of nonlinear wave-breaking

We discuss the formation of typical (structurally stable) singularities in nonlinear wave breaking in stable and unstable media. The wake wave-break due to the inhomogeneity of the Langmuir frequency is accompanied by electron injection into the acceleration phase. In a wake wave excited behind a finite width laser pulse, the wave-breaking mechanism involves the increase, with the distance behind the pulse, of the curvature of the wake front, followed by the self-intersection of the electron trajectories. In the long wavelength limit, the Weibel instability which leads to the generation of a strong magnetic field, the relativistic self focusing and the Rayleigh-Taylor instability of a thin plasma slab provide examples of a common behavior with the rarefaction wave-breaking in unstable media. We present a solution of the Cauchy problem that describes the evolution of nonlinear perturbations of the Rayleigh-Taylor instability in terms of analytical functions of a complex variable.     

理想导体金属谐振腔电磁场微扰理论研究

根据电磁场Helmholtz方程与定态薛定谔方程的相似性，给出了金属谐振腔电磁场的微扰理论：在金属腔中放入一介质体时，原来空腔中电磁场的分布和谐振频率会发生改变。发生改变后的电磁场可以用原来所有模式电磁场展开。若引入的介质体很小或相对介电常数和磁导率接近于1，就可把它看成微扰。导出了谐振频率和电磁场分布的一级、二级近似解析表达式。指出了此理沦的适用范围，并对结果进行了讨论。     

微扰法测量介质陶瓷薄膜的介电特性

对于介质陶瓷薄膜，特别是厚度小于1μm的介质陶瓷薄膜，我们提出了一种新的基于微扰理论的测量方法，本文对该方案进行了理论推导，获得了计算介质陶瓷薄膜复介电常数和Qf的公式，并设计了实际的测试方案，以具体的介质陶瓷薄膜作了测试验证和误差分析。结果表明，该方案是可行的，测量结果具有较高的精度(7％)，最后提出了对系统的改进方案。     

Dynamics analysis of distributed parameter system subjected to a moving oscillator with random mass, velocity and acceleration

The problem of calculating the response of a distributed parameter system excited by a moving oscillator with random mass, velocity and acceleration is investigated. The system response is a stochastic process although its characteristics are assumed to be deterministic. In this paper, the distributed parameter system is assumed as a beam with Bernoulli–Euler type analytical behaviour. By adopting the Galerkin's method, a set of approximate governing equations of motion possessing time-dependent uncertain coefficients and forcing function is obtained. The statistical characteristics of the deflection of the beam are computed by using an improved perturbation approach with respect to mean value. The method, useful to gathering the stochastic structural effects due to the oscillator–beam interaction, is simple and leads to results very close to Monte Carlo simulation for a wide interval of variation of the uncertainties.     

基于摄动方法的受损薄板模态分析

将结构的损伤用δ函数进行表达，建立损伤条件下薄板的自由振动方程。利用一阶摄动方法给出摄动项的一般表达式，并结合δ函数的性质，求出受损薄板模态参数的解析表达式。以一个四边简支的受损薄板为数值算例，计算损伤条件下其模态参数的变化。最后分析损伤情况对模态参数的影响，为利用动力学特性对板的损伤监控和检测提供理论依据。     

汽车动力学参数的相对灵敏度分析

基于灵敏度的函数求导思想,变换出单因素扰动法。用该方法首次对基于卡尔曼滤波理论进行状态估计后的汽车状态参数的相对敏感度进行分析。在线性二自由度汽车模型和卡尔曼滤波理论基础上,分析估计所得的状态量(横摆角速度、质心侧偏角)对动力学模型中的汽车的质量、转动惯量以及质心到前轴距离的灵敏度。研究汽车状态参数对汽车结构参数的相对灵敏度,通过仿真试验和实车试验数据对相对灵敏度进行分析,最终的结论将对汽车状态估计算法的研究具有指导意义。     

EFFECT OF INVOLUTE CONTACT RATIO ON THE DYNAMIC PERFORMANCE OF SPUR GEAR WITH NOTOOTH PROFILE MODIFICATION

The effect of involute contact ratio on the torsional vibration behavior of spur gear-pair isstudied analytically through a mass-spring model. The tooth stiffness in model not only has a relationwith time, as many prior studies presented, but, more important, with involute contact ratio (ICR) aswell. The ICR embodies its impact on the spur gear's dynamic performance through changing theproportion of tooth stiffness when there are n+1 teeth in contact to tooth stiffness when there are n