高维力学系统的能量方程

在低维系统中,能量方程因其明晰的物理意义而得到广泛的应用,而研究高维力学系统的能量方程也同样具有理论价值和实际意义,如位移对时间的导数是速度,速度对时间的导数是加速度,这些具有明显的物理意义,而加速度的导数其物理意义就不是很清晰了,但具有理论上的意义.本文应用广义经典力学中关于广义拉格朗日函数、广义动量和广义哈密顿函数等概念,推导了高维系统的能量方程,文中举了实例具体说明新方程的应用,为力学数学系统能量方程的推广提供了一种途经.     

高职《机械基础》课程项目教学初探

按照以工作过程为导向、以学生职业能力培养为核心的原则,采用项目教学法,将《机械基础》传统的知识体系进行整合,以＂机械结构的测绘、分析与设计＂为主线,设计项目,重构教学内容。     

Modeling of time to corrosion-induced cover cracking in reinforced concrete structures

Service life of the concrete structures depends on the protective action provided by the cover concrete against the susceptibility of the reinforcement to the corrosive environment. Depending on the level of the oxidation of metallic iron, corrosion products may have much greater volume than the original iron that gets consumed by the process of corrosion. This volume expansion is mainly responsible for exerting the expansive radial pressure at the steel-concrete interface and development of hoop tensile stresses in the surrounding concrete resulting ultimately in the through cracking of the cover concrete. This cover cracking would indicate the loss of the service life for the corrosion-affected structures. In the present paper, an attempt has been made to develop analytical models for predicting the time to cover cracking by considering the residual strength of the cracked concrete and the stiffness provided by the combination of the reinforcement and expansive corrosion products. The problem is modeled as a boundary value problem wherein the governing equations are expressed in terms of the radial displacement and the analytical solutions are presented considering a simple 2-zone model for the cover concrete viz. cracked or uncracked. The analytical models are then evaluated through their ability to reproduce available experimental trends and subsequently a sensitivity analysis has also been carried out to show the influence of the various variable parameters of the proposed models with reference to the experimental trends.     

Construction of highly nonlinear resilient Boolean functions satisfying strict avalanche criterion

Boolean functions with high nonlinearity, high resiliency and strict avalanche criterion （SAC） play an important role in the designs of conventional cryptographic systems. In this paper, a method is proposed to construct resilient Boolean functions on n variables （n even） satisfying SAC with nonlinearity 〉 2n-1 -2n/2. A large class of cryptographic Boolean functions that were not known earlier were obtained.     

基于模态分解和云粒子网络的大坝基岩地震动输入研究

在大坝抗震安全评价中基岩地震动输入多采用实测数据或人工生成等方式,而当坝址仪器损坏或历史震害资料不足时,确定基岩地震动就变得尤为困难。本文提出对大坝基岩地震动进行反演的研究思路,并开发了基于经验模态分解和云粒子网络的分解—训练—反演混合模型,在不依赖场地历史震害资料的情况下,仅用少量周边测站数据即可确定大坝的基岩地震动。首先,选取坝址周边地表及基岩的地震动实测记录,采用经验模态分解法将地震加速度序列分解;其次,通过粒子群算法建立与神经网络连接权值的映射,采用云理论优化粒子群算法的全局寻优能力,建立反演模型,将分解后的加速度序列作为训练集进行反演训练;然后,选取与大坝处于相似地质情况的地表实测地震动信息,结合反演模型对大坝基岩输入地震动进行反演;最后,以紫坪铺大坝为研究实例,通过对比传统输入方法,验证该模型的适用性。结果表明：本文所提的混合模型综合性能稳定,能较好地反演地震加速度序列,模型决定系数均大于0.9,平均绝对百分比误差均在11%左右;采用本文反演得到的基岩地震动进行计算,较已有研究成果计算误差降低0.79%~17.28%,与工程实际动力响应更为吻合。本文方法可为解决大坝基岩输入地震动的获取提供一条新途径。     

线性规划的可行解集合的几何特征

本文提出平凡解是基可行解,也是极点,对基可行解与极点是等价概念给出一种证明方法,指出E~n中的可行解集合有类似R~2中的凸多边形的一些特征。     

基于RBF神经网络优化的装备保障系统效能评估

针对现有装备保障系统效能评估方法存在依赖专家经验、主观性强等问题,提出一种基于径向基函数（RBF）神经网络优化的装备保障系统效能评估方法。通过完备交叉与预变异策略对遗传算法（GA）进行改进,利用改进的GA对RBF神经网络中心、宽度及输出权值进行全局寻优,并采用优化的RBF神经网络实现装备保障系统效能评估。仿真结果表明,该方法相比AGA-RBF和GA-RBF评估方法能更准确地评估装备保障系统效能值,并且可在一定程度上降低评估过程中主观因素的影响,确保评估结果更客观真实。     

基于径向基函数的多目标回归特征构建算法

多目标回归（MTR）是一种针对单个样本同时具有多个连续型输出的回归问题。现有的多目标回归算法都基于同一个特征空间学习回归模型,而忽略了各输出目标本身的特殊性质。针对这一问题,提出基于径向基函数的多目标回归特征构建算法。首先,将各目标的输出作为额外的特征对各输出目标进行聚类,根据聚类中心在原始特征空间构成了目标特定特征空间的基;然后,通过径向基函数将原始特征空间映射到目标特定特征空间,构造目标特定的特征,并基于这些目标特定特征构建各输出目标的基回归模型;最后,用基回归模型的输出组成隐藏空间,采用低秩学习算法在其中发掘和利用输出目标之间的关联。在18个多目标回归数据集上进行实验,并把所提算法与层叠单目标回归（SST）、回归器链集成（ERC）、多层、多目标回归（MMR）等经典的多目标回归算法进行对比,结果表明所提算法在14个数据集上都取得了最好的性能,并且在18个数据集上的平均性能排序居第一位。可见所提算法构建的目标特定特征能够提高各输出目标的预测准确性,并结合低秩学习得到输出目标间的关联性以从整体上提升多目标回归的预测性能。     

Fuzzy deduction methods of selecting the underwater terrain navigation matching area

To overcome the problems of not describing terrain matching characteristics totally with a single terrain feature parameter in underwater navigation terrain database, an evaluation method named Vague set is proposed to describe the terrain suitability comprehensively based on the fuzzy decision making (FDM) method. The membership functions and non-membership functions of the Vague set are used to define the influence of the terrain map characteristics parameters on matching suitability, and comprehensive evaluation values of matching areas are obtained by the weighted score function method. Simulation results demonstrate that the terrain map suitability is positively proportional to the comprehensive evaluation value, while the matching position error is negatively proportional to the comprehensive evaluation value of the matching area. The Vague set can choose the optimal matching areaeffectively, and solve the problem that the single topographic map featurecannot evaluate suitability comprehensively.     

基于神经网络的伺服机械手LuGre摩擦补偿控制

针对伺服机械手系统的LuGre摩擦模型参数辨识难,难以建立其精确的数学模型,利用径向基函数( RBF)神经网络的万能逼近特性逼近LuGre摩擦,并作为计算转矩控制器的补偿项。通过Lyapunov方法证明了系统的稳定性以及闭环系统跟踪误差的收敛性。仿真结果证明控制算法能对摩擦进行有效补偿,提高了伺服机械手系统的轨迹跟踪控制性能。