In terms of the weighted residual method to the springback anti - coupled equations , the springback potential energy principle and springback complementary energy principle of axisymmetric problems are established 应用加权馀量法于该回弹反耦联方程，建立了轴对称问题的回弹势能原理和回弹馀能原理。
A new micromechanical method , the weighted residual self - consistent scheme ( wrscs ) is developed to study the thermal conduction of two - phase composite with arbitrary geometry of particulates 本文介绍一种新的微观力学方法? ?加权残值自洽方法(简称权残自洽方法) ，用于研究含任意夹杂形状的颗粒增强复合材料的有效热导率。
Then the penalty finite element formula can be derived through galerkin weighted residual method . to test the model , the paper calculate a cantilever sample and a four point bending beam under near static load and sinusoidal load 针对浸泡在液体中的悬臂梁试件和四点弯曲试件，计算了在受跃阶载荷和正弦载荷作用时的变形、流动以及流动电场分布。
It has all of the advantages of method of moment and method of weighted residuals such as simple principle , handy calculation , and the effect to structural reaction from randomness of each structural parameter can be gained 它具有加权残值法和矩法两者固有的全部优点，其原理简单、计算简便、且能够获得随机结构系统中每一参数的随机性对结构反应的影响。
It is a new truly mesh - less method , because the background cells for integration are not needed . it uses the weighted function of gaussian or of spline as a test function of the weighted residual method 这种方法采用高斯权函数或样条函数作为加权函数；同时这种方法只包含中心在所考虑点处的规则局部区域上以及局部边界上的积分；所得系数矩阵是一个带状稀疏矩阵。
The main idea of this method include two steps : at first , the approximate expression of function is obtained by method of weighted residuals ; then the first and second moment of the random function can be calculated with method of moment 该方法的基本思想是利用加权残值法获得问题解的近似函数表达式，在此基础上利用求解随机变量函数的矩法求得随机函数的一、二阶矩等统计数字特征。
The finite element balance equation is obtained with galerkin weighted residual procedure , and in turn , the creep and stress relaxation behaviors of articular cartilage under confined compression are numerically simulated using the designed finite element program 具体采用伽辽金加权残值法得到有限元平衡方程，编制了有限元程序，进而对关节软骨围限压缩蠕变和应力松弛行为进行了数值模拟。
The article has applied the weighted residual method and laplace changing to analyze the plastic dynamic response of a simple circular plate , the influence of elastic foundation on it and drives its residual deflection and the terminal time 摘要应用加权残值法和拉普拉斯变换，分析弹性基础上简支圆板的塑性动力响应问题，弹性基础对薄板塑性动力响应的影响，并且给出板的残余挠度和终止运动时间。
By comparison , it was clear that the bem could solve the problem not only effectively but also precisely . in the second chapter the theory of weighted residual technique is illustrated and the boundary integral function of the potential problem is deduced by it . methods of obtaining green ' s function fundamental solutions in infinite region and semi - infinite region are presented 第二章首先说明了加权余量法的原理，并由此推出了势问题的边界积分方程，还介绍了无限域和半无限域中格林函数基本解的求法，以及多介质域和第三类边界条件的处理方法，最后说明了边界积分方程的数值解法。
The elastic foundation model is considered as two - parameter elastic foundation model and its effect to moderate - thick plates are taken into account by a set of governing differential equations . united with hu hai - chang ’ s function , least squares collocation weighted residual method which uses b - spline function as trial function is put forward for solving the bending problems . compare with the results of finite element method of lines , spline finite strip method , accurate solution of series etc . it is proved that the method in this article has adequate accuracy and practical feasibility 本文采用瑞斯纳中厚板理论求解弹性地基板,建立双参数地基与中厚板相互作用的控制微分方程,结合胡海昌的解耦函数,运用双五次b样条函数作为试函数的离散型最小二乘加权残值法分析了双参数地基上的中厚板的弯曲问题,并将结果与有限元线法、有限条法、级数精确解等进行比较,证明本文方法具有足够的精确性与实际的可行性。
