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collocating method
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     Method:
     方法
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     Method
     材料和方法
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     ameliorate the method of collocating and appending;
     改进絮凝剂的配置、加入方式;
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When a finite elastic plate is reinforced with an elliptical ring around an elliptical hole, their stress fields are analysed by means of the combination method of analytic and numerical solutions.It is assumed that the plate is in close contact with the ring without initial stresses. Stress functions of the plate and the ring are formed by a complex Laurent series. The collocating method is used to determine coefficients of complex series in accordance with interface boundary and their out-boundary conditions....

When a finite elastic plate is reinforced with an elliptical ring around an elliptical hole, their stress fields are analysed by means of the combination method of analytic and numerical solutions.It is assumed that the plate is in close contact with the ring without initial stresses. Stress functions of the plate and the ring are formed by a complex Laurent series. The collocating method is used to determine coefficients of complex series in accordance with interface boundary and their out-boundary conditions. So, their stress fileds may be computed. The effect of the number of terms of the series and the number of collocating points on the computation results is analyzed.

本文用解析与数值结合法研究在含有椭圆孔的有限大小弹性板上,有一椭圆弹性环加强时,板及环上的应力场。假设板与环间处于无初应力的紧密接触状态,弹性板和弹性环的应力函数都可按复劳伦级数展开。根据孔与环的接触边界条件以及各自的外边界条件,运用节点配置法确定板、环的级数系数,从而求出板、环上的应力场。文中分析了级数项数一配点数对计算结果的影响。

Stress field of a composite material plate with cores is computed by means of the analytic and numerical method. Stress functions of plate and cores,respectiviy,are formed with complex Laurens and power series. Their unknow coefficients could be obtained by a collocating method, in accordance of some boundary condition.So,the plate's stress should be computed.

用解析与数值法分析了含有多个弹性核复合材料板的应力,将各向异性板和各向同性板的应力函数分别用劳伦斯级数和麦克劳林级数表示,并利用节点配置法,确定它们的应力函数,从而求出了复合材料板的应力分布.

The mathematical model and numerical method for an inverse problem of determining the boundary of an one-dimensional heat equation are set up.In order to fit the changing of the boundary,the radial basis collocating method is used to discretize the space variable in solving the direct problem.The inverse problem is solved by Quasi-Newton method,with an explicit gradient formula for the objective function.Numerical results indicate that this method is of high precision.

给出反演一维热传导方程边界反问题的数学模型和数值求解方法 .为适应边界的变化 ,对正问题的计算采用径向基的配置法进行空间变量离散化 ,并给出目标函数梯度的显式公式 ,用拟牛顿法得到了反问题的解 ,数值结果表明这一方法具有较高的精度

 
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