In the wrscs , the self - consistent model is used to describe the complex configurations of the particulate composite and the temperature field is solved by weighted residual collocation method with some proper simplifications . this method provides a more efficient way of setting up the algebraic equations corresponding to the governing differential equations . the prediction formula for the effective thermal conductivity of the composite is obtained 权残自洽方法可以用于描述不同形状夹杂的复合材料的微观结构，通过对不同几何形状角点做适当的圆弧化处理，采用加权残值数值计算方法的配点法将求解微分控制方程变为求解线性方程组，进而得到任意形状夹杂内部的温度场，建立含不规则形状夹杂的复合材料有效热导率的预测公式。
Along with the progress of drilling technology , many new types of bha such as steering motor assembly , dropping assembly with eccentric bend sub , dropping assembly with flexible connection are developed based on common building , dropping and holding assemblies . for using these bha , a new mathematical model is put forward for 3d static analysis of these types of bha under small deflection . and its weighted residual solution is given . the mathematical model includes ( 1 ) differential equations ; ( 2 ) boundary conditions at drill bit , stabilizer , bend angle , diameter change , tangential point and borehole wall ; ( 3 ) lateral forces and deflection angles of bit . the software based upon this method runs well 为了更好地应用各种新钻具，建立了适用于对普通下部钻具、导向钻具、带偏心弯接头和柔性接头的下部钻具进行三维小挠度静力学分析的数学模型，包括( 1 )微分方程； ( 2 )钻头、稳定器、弯角、变截面、切点和井壁的边界条件； ( 3 )钻头的侧向力和钻头转角.给出了该模型的加权余量解.用该方法编写的软件应用效果良好
In this article , a program about the weighted residual method is compiled by using matlab mathematics software to solve this problem . the program has broad applicability , which can analyze the displacement fields and the internal force fields of moderate - thick plates on two - parameter elastic foundation with arbitrary boundary and arbitrary loading con - ditions ( contains uniform line load , concentrated load or combined loads on arbitrary position of plates ) 计算中本文应用matlab数学软件编制出求解该问题的加权残值算法程序,程序适用性较强,可以求解双参数弹性地基上任意边界条件组合下任意竖向荷载(包括板面上任意位置的均布荷载、集中荷载以及两者的组合)作用下的中厚板内任意点的位移场、内力场。
Firstly in this part , computer simulation methodology based on the baecher model for generating network of discrete fractures was presented , which includes the follow details : probability distributions of fracture density , orientation , trace length , size , and aperture and estimation of their statistical parameters ; stochastic models of fracture network ; monte - carlo ' s simulation method ; numerical simulation procedure and technicality . then , boundary element method was used to calculate flow through the generated fractured network . assuming single fracture as a two - dimension inexpressible isotropic porous media , boundary element method equations for flow in single fracture and then in fracture network were derived using the weighted residual method 给出了离散裂隙网络模型所依据的基本假定；发展了基于baecher模型的离散裂隙网络计算机随机生成技术：详细地推导了单裂隙渗流和多裂隙相交网络渗流的边界单元法公式，发展了离散裂隙网络中稳态渗流的边界元数值技术，并且讨论了相关的具体数值技术细节，如角点的处理方法，单元的自动剖分等：描述了混合边界元?管流模拟方法及其数值实现；研究了裂隙网络的简化方法，并针对裂隙网络边界元法的特点提出了一种改进的分块三角分解法。
The point interpolation method ( pim ) is a kind of new meshless method based on the theory of interpolation , its shape function is constructed by interpolation method . in this article , the thinking of point interpolation function is used in the method of weighted residuals ( wrm ) , so the pifwrm is presented , and the numerical examples show its validity 其次，由于点插值法是基于插值型形函数构造理论的一种无单元法，我们研究了这种构造函数方法的数学基础，并提出了点插值插值函数加权残值法，进行了算例验证。
