二层线性规划问题

罚函数方法是数学规划中一种常见且有效的求解方法。用罚函数原理,把二层线性规划（BLP）下层问题的对偶间隙作为惩罚项,将BLP转化为带罚函数子项的有限个线性规划问题。由于BLP的全局最优解可在约束域S的极点上找到,利用线性规划对偶理论,给出了一种求解该二层线性规划的罚函数算法。     

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针对具有模糊因数的多目标交通问题,提出了一种优先模糊目标规划方法。本文首先建立了模糊目标的隶属度函数,其次,将隶属度函数的最高度作为期望水平并引入了偏差变量,从而将隶属度函数转化为隶属度目标。通过最小化负偏差变量得到最满意解。对模糊目标不同优先级结构下的解进行了敏感性分析,并用欧氏距离函数确定了最佳的目标优先级结构,通过最小化后悔值达到决策区域理想点决策值,得到决策单元最满意解。最后,应用实例对本文方法进行分析验证。     

隧道衬砌可靠指标的优化求解方法

为解决JC法计算隧道衬砌可靠指标过程中极限状态选用方法的缺陷,通过随机有限元方法和Monte-Carlo法对时速350 km高速铁路双线隧道Ⅲa、Ⅳb型衬砌进行抽样计算,得到2种衬砌各截面偏心距平均值和变异系数; 通过对素混凝土和钢筋混凝土衬砌极限状态功能函数及其适用条件的分析,引入几何优化法,以约束函数表示功能函数的约束条件,建立可靠指标的优化求解模型; 选用寻优性能良好的Global Search函数,对2种衬砌各截面可靠指标进行优化求解,并与JC法进行对比,证明优化方法的优势。     

重型卡车驾驶室振动传递函数分析和优化

试验测试和分析表明,驾驶室地板振动不仅会导致座椅振动,恶化驾乘舒适性,并且会产生噪声,影响车辆的NVH性能。本文对驾驶室地板的振动进行了分析,计算了某重卡驾驶室地板的传递路径响应和模态贡献量,并与试验测试结果进行了对比。基于经过校核的仿真模型,对驾驶室地板结构进行了优化,提供了改进方案。对改进方案的分析显示,在发动机怠速激励频率下,座椅导轨的振动加速度峰值降低了3.1dB,NVH性能获得了显著的改善。     

Reliability Analysis of Excavator Rectifier Feedback System with Multi-State Components Based on Belief Universal Generating Function Method

In view of the complexity and uncertainty of system, both the state performances and state probabilities of multi-state components can be expressed by interval numbers. The belief function theory is used to characterize the uncertainty caused by various factors. A modified Markov model is proposed to obtain the state probabilities of components at any given moment and subsequently the mass function is used to represent the precise belief degree of state probabilities. Based on the primary studies of universal generating function(UGF)method, a belief UGF(BUGF) method is utilized to analyze the reliability and the uncertainty of excavator rectifier feedback system. This paper provides an available method to evaluate the reliability of multi-state systems(MSSs) with interval state performances and state probabilities, and also avoid the interval expansion problem.     

A Fuzzy Fault Diagnosis Method for Large Radar Based on Directed Graph Model

To meet the requirement of the real-time, accuracy and multi-target diagnosis of the large radar system,a new fuzzy fault diagnosis method based on directed graph model is proposed in this paper. In this method, the large complex system model is defined using the directed graph model firstly, in which the nodes observing the fault by the hierarchical reconstruction of the directed graph are located, then the fault dependency matrix between these nodes and the fault sources are established. And then, we utilize the sensors’ alarm probabilities under different situations to build the characteristic fault observation matrix in the fault observation space. Finally,the optimized corresponding diagnosis method using a fuzzy function, which describes the similarity between the actual observation vector and the fault’s characteristic vector, is designed. The experimental results demonstrate that the proposed method can achieve high diagnosis efficiency and accuracy. It can be widely used in the real radar system.     

锚固路堑高边坡稳定性非线性模糊评判

针对路堑高边坡锚固后的稳定性评价,基于模糊性与层次性构建锚固路堑高边坡稳定性2级模糊综合评判模型。根据不同类评价指标的取值方法及隶属度函数选取原则,建立统一的隶属度确定方法,采用三角模糊数互补判断矩阵排序方法确定权向量,以体现评价指标重要程度比较的不确定性。引入非线性模糊算子,以消除个别影响因素不利时对结果的突出影响,使评价结果能更真实地反映工程实际状况。以京新高速公路路堑高边坡稳定性评价为应用实例,验证该模型的可行性与合理性。     

基于遗传算法的舰船舱段可靠性优化设计

遗传算法在引入动态自适应策略和"免疫算子"之后,其收敛效率有了较大的提高。对于以可靠性作为约束的随机结构系统优化问题,以罚函数法为基础,构造了有效的约束与目标函数向适应值函数的映射公式。建立合理的安全余量,采用随机有限元法处理结构分析中所涉及的有关参量的随机性,计算结构响应和敏度分析,并进行系统的可靠性计算。通过两种算法的结合,利用自适应免疫遗传算法、随机有限元法及可靠性的基本理论,建立了一套完整的基于遗传算法与随机有限元的结构系统可靠性优化设计方法。对舰船舱段结构梁系截面的优化计算结果表明,算法对多随机因素结构系统的可靠性优化具有良好的收敛效果。     

Experimental study on the nonlinear pressure acting on a high-speed vessel in regular waves

It is well known that the hydrodynamic responses of a high-speed vessel traveling in regular head waves of even moderate wave height can show significant nonlinear behavior, and so linear statistical techniques become insufficient for predicting the statistics of responses in irregular waves. On the other hand, it has been shown that an approximate third-order Volterra model is applicable to handling the statistics of some nonlinear seakeeping problems, such as motions and vertical hull girder loads. In the present study, the focus is on the nonlinear behavior of the pressure responses of the hull surface, especially on the pressures acting on alternately wet and dry areas near the waterline and on the bow zone with high deadrise angles that may be subject to slight impact and water pile-up effects. To clarify the validity of applying Volterra modeling to this problem, a series of experiments in regular and irregular head waves were carried out, and approximate third-order and fifth-order Volterra models with the proposed algorithm for finding frequency response functions (FRFs) were applied as a means of validation. In the present article, the first part of the validation was performed using experimental data in regular waves. It was confirmed that the third-order Volterra model has adequate accuracy to simulate deterministically the variation of pressure responses in regular waves of different wave steepness up to a wave amplitude to wavelength ratio of 0.01 even for the highly nonlinear pressures acting on the above-mentioned areas of the hull surface.     

基于模糊综合评判法的深基坑支护工程稳定性分析

在模糊数学理论与相容矩阵分析法相结合的基础上,针对深基坑支护工程影响因素的特点,作者提出了深基坑支护工程的模糊综合评判法,其中采用了相容矩阵分析法确定影响因素的权重。文中通过算例来验证所提方法的实用性,分析结果与实际情况相符。