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As a numerical application, stability of a pipe conveying pulsating fluid is studied.


Since the various matrices are at most of rank 6, numerical application of the inequalities poses no significant difficulty.


Hence, for a numerical application an estimation of the numerically relevant support is necessary.


Runtorun control of inductively coupled C2F6 plasma etching of SiO2: Multivariable controller design and numerical application


In part II, a numerical application of the model to equiaxed dendritic solidification of an AlCu alloy in a rectangular cavity is demonstrated.

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 In this paper, the optimal design of prestressed structures is considered in the two following problems:Problem 1: Find the optimal prestressing forces {T} such that the loading capacity of a given structure is raised to a maximum with the constraints of stresses, displacements, and the upper bound of prestressing forces, The member sizes ( crosssectional areas ) {A} are fixed in the given structure.Problem 2: Find the optimal member sizes {A} and the optimal prestressing forces {T} of a structure under given... In this paper, the optimal design of prestressed structures is considered in the two following problems:Problem 1: Find the optimal prestressing forces {T} such that the loading capacity of a given structure is raised to a maximum with the constraints of stresses, displacements, and the upper bound of prestressing forces, The member sizes ( crosssectional areas ) {A} are fixed in the given structure.Problem 2: Find the optimal member sizes {A} and the optimal prestressing forces {T} of a structure under given loading conditions suchthat the weight or the cost of the structure is minimum with the constraints of stresses, displacements, and member sizes.The problem 1 is solved by linear programming. The problem 2 has been reduced to a sequence of problem 1 in using the concepts similar to that of Full Stressed Design. A few numerical applications show that the iteration process is rapidly convergent.  本文将预应力结构的优化设计作为两个问题考虑: 一、给定结构布局、几何尺寸和杆件截面{A},在多种工况和约束(应力、变位和预拉力约束)下求最优的预拉力{T},使结构的承载能力最高。 二、给定结构布局和几何尺寸,在给定的多种工况和约束(应力、变位、尺寸和预拉力约束)下,求最优的截面{A}和最优的预拉力{T},使结构用材最少或价格最低。 “问题一”可以用线性规划来解,“问题二”可以利用类似于满应力准则的办法用一序列“问题一”来逼近,所作的有限的数值实验表明这个方法收敛得相当快。  The SplineFiniteElement models for the static analyses of the Honeycomb Structure are established. The displacement fields of twodimensional Honeycomb Structure are described with four cubic BSpline functions. The strain energy expression of whole Honeycomb Structure (including sandwich) is obtained and the FUC operator is defined for the calculation of the discrete and dense sandwich, which can gain a satisfactory accuracy. By variation principle, the matrix forms of the structure analyses are formulated... The SplineFiniteElement models for the static analyses of the Honeycomb Structure are established. The displacement fields of twodimensional Honeycomb Structure are described with four cubic BSpline functions. The strain energy expression of whole Honeycomb Structure (including sandwich) is obtained and the FUC operator is defined for the calculation of the discrete and dense sandwich, which can gain a satisfactory accuracy. By variation principle, the matrix forms of the structure analyses are formulated and the method for handling boundary condition is given.Some numerical applications of the method and the results of two structure tests for simple support and cantilever sandwich beam are presented in this paper. The accuracy, computational efficiency and convergence of above mentioned methods are satisfactory.  本文建立起用于蜂窝结构静力分析的样条有限元计算模型,应用4个三次Bspline函数来描述二维蜂窝结构的位移场。为较精确地计算离散、密集夹芯的应变能,定义了FUC算子,推导出蜂窝结构(包括夹芯)的应变能表达式,由变分原理,建立结构分析的矩阵形式,给出边界条件的处理方法。文中分别就简支、悬臂等弹性蜂窝结构给出算例,并与结构试验进行比较。结果表明,所提出样条有限元计算模型是可行的,其精确度、计算量、收敛性等方面都是令人满意的。  Random dynamic responses of cooling tower structurefootinginfinite soil system are studied by means of finite element method and fullscale measurement. In numerical analyses, the tower shell is represented by semianalytical rotational shell finite element and the discret column system is treated as an modified equivalent shell element. While the circular footing is treated by using three dimensional curved beam element. The infinite soil medium is represented by an equivalent dynamic boundary system.... Random dynamic responses of cooling tower structurefootinginfinite soil system are studied by means of finite element method and fullscale measurement. In numerical analyses, the tower shell is represented by semianalytical rotational shell finite element and the discret column system is treated as an modified equivalent shell element. While the circular footing is treated by using three dimensional curved beam element. The infinite soil medium is represented by an equivalent dynamic boundary system. Numerical applications include gust responses of tower shell and footing corresponding to three kinds of soil medium.  本文在文[6]的基础上,应用随机振动的谱分析法和全尺寸风压的实测数据,分析了双曲冷却塔壳支承系统基础无限域土壤这一完整系统的随机阵风响应,得到壳体和环形基础的阵风响应因子。文中考虑了不同类型的土壤和风压相关性等因素对阵风响应因子的影响,并给出数值计算结果。   << 更多相关文摘 
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