基于共轭梯度搜索的病态问题处理方法

在最小二乘平差准则基础上,把病态平差问题转化为无约束的二次规划问题,并利用优化理论分析病态对平差解的影响。通过共轭梯度搜索算法在可行域中寻找最优步长因子,自动寻找最速下降方向,并给出迭代初值的设置方法。分析近似计算中病态问题与局部最优解的关系,讨论局部最优解的快速迭代方法,并通过实例验证算法的有效性,计算迭代的速度。由于整个过程没有对法方程系数矩阵进行求逆计算,该算法可用于处理大规模系数矩阵高病态的平差问题。     

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大地问题的截面椭圆弧长新解

分析了以前大地问题中截面椭圆弧长计算方法的缺点,在运用Mathematic的基础上,提出了在这一问题上的计算方便、过程简单的新方法,并用该方法进行了一个实例计算,效果良好。     

振动系统的逆与优化问题(Part-Ⅱ)部分边界值再构内部场(I)理论(英文)

研究由一振动体的部分边界测量数据再构振动体内部场的逆问题。提出基于偏微分方程控制方法的一种算法 ,并证明原用于处理散射问题的 Null- field method可用来求解优化问题的随伴问题。     

中国沿海地区高质量发展的路径

高质量发展是跨越中等收入陷阱、跻身发达经济体的关键举措.随着改革开放的深入,沿海地区正日益成为经济增长的压舱石、国家制造业中心、打造创新型国家的前沿地带、开放型经济建设的排头兵、绿色发展的示范窗口,具备高质量发展的典型特征,将有效带动内陆地区步入高质量发展的正轨,形成对整个国家高质量发展的有力支撑,塑造区域协调发展新格...     

Semi-active model predictive control for 3rd generation benchmark problem using smart dampers

A semi-active strategy for model predictive control (MPC), in which magneto-rheological dampers are used as an actuator, is presented for use in reducing the nonlinear seismic response of high-rise buildings. A multi-step predictive model is developed to estimate the seismic performance of high-rise buildings, taking into account of the effects of nonlinearity, time-variability, model mismatching, and disturbances and uncertainty of controlled system parameters by the predicted error feedback in the multi-step predictive model. Based on the predictive model, a Kalman-Bucy observer suitable for semi-active strategy is proposed to estimate the state vector from the acceleration and semi-active control force feedback. The main advantage of the proposed strategy is its inherent stability, simplicity, on-line real-time operation, and the ability to handle nonlinearity, uncertainty, and time-variability properties of structures. Numerical simulation of the nonlinear seismic responses of a controlled 20-story benchmark building is carried out, and the simulation results are compared to those of other control systems. The results show that the developed semi-active strategy can efficiently reduce the nonlinear seismic response of high-rise buildings.     

One‐dimensional consolidation with a threshold gradient: a Stefan problem with rate‐dependent latent heat

During the process of one‐dimensional consolidation with a threshold gradient, the seepage front moves downward gradually, and the problem is indicated as a Stefan problem. The novel feature in this Stefan problem is a latent heat that varies inversely with the rate of the moving boundary. An exact solution for the external load that increases in proportion to the square root of time is constructed using the similarity transformation technique. Computational examples concerning the effect of different parameters on the motion of the seepage front are presented. The exact solution provides a worthwhile benchmark for verifying the accuracy of numerical and approximate methods. Copyright © 2013 John Wiley & Sons, Ltd.     

行业空间配置的线性对偶模式

本文研究诸如钢铁、有色金属、基本化工等一类行业的空间配置。由于韦勃、廖施的理论的一些前提条件在这里不存在，使得他们的研究方法显得十分不足。本文作者建立了具有对偶的线性规划模式来解决这类行业的空间配置。这一对模式的解给出了具有最小行业总成本的配置方案和与之相应的产品和原料在各个区位的影子价格。尤其是作者依据空间价格均衡找出了原模式与对偶模式的解之间的关系，这些关系是行业空间配置优化的效率条件。