By combining the displacement function of two - end fastened strip in finite strip method ( fsm ) with that of rectangular element in finite element method ( fem ) , the compound finite strip - element method is used to solve plane problems with mechanics of elasticity 摘要将有限条带法( fsm )中两端固定条和有限单元法( fem )中矩形单元的位移函数相迭加，运用混合条元法来求解平面弹性力学问题。
According to the assumed displacement function : w ( x . y ) = dcos x / a - cos y / b , determine the displacement function by using the principle of potential energy , and calculated formula of displacement , moment and shear of every beam in the grid - beam structure is offered 根据假定的位移函数： w ( x y ) = dcos x ? cos y b ，利用势能原理，确定该位移函数，从而推导出井字梁结构中各根梁的位移、弯矩、剪力计算公式。
3 . as for side web girder , the principle of minimum potential energy has been introduced . by assuming different displacement function , the force and stress formulae for flanges under uniform loading , horizontal axial force , or vertical concentrated force have been derived 对于边主肋截面主梁，本文介绍了能量变分法，通过假定板不同的轴向位移函数，推导了悬臂梁在均布荷载、水平轴向力、竖直集中力作用下的微分方程和应力计算公式。
Abstract : based on the deformation characteristics of the tread element at typical load cases , this paper determines the displacement functions of the element by using the energy method and derives the theoretical formulae for the apparent compressive stiffness and shearing stiffness calculation 文摘:根据轮胎胎面单元在典型工况的变形特点，用能量法确定了胎面单元变形的位移函数，导出了轮胎胎面单元表观压缩刚度和表观剪切刚度的理论计算式。
Displacement function means for calculating geostress in fem analysis of underground houses is used , based on crustal stress data of underground cavern of pump water station of tong guanshan yixing to store energy , applying the displacement function theory and 3d nonlinear fem , the thesis simulates a displacement field applied the boundary in engineering area and obtain the initial crust stress field through load function in ansys . the result shows that the error between regressed ones and actual ones is controlled in allowed limit and supply the important data for building and design 根据宜兴铜官山抽水蓄能电站地下厂房区的地应力实测资料，运用位移函数法理论，采用三维非线性有限元计算方法，反演出施加在厂房区边界上的位移场，借助州sys有限元分析软件，获取模型边界节点的坐标信息，然后通过ansys软件的载荷函数将边界位移程序化施加到模型边界上，最后得到整个区域的初始地应力场，结果表明回归后的地应力值与实测值接近，为地下工程的施工设计提供了重要的资料。
Abstract : based on spline function method , the spline finite element formulation for the contact - impact problems is proposed . in order to get the formulation , the b3 spline function is used to distribute the contact problem , and numerical examples are analyzed to show the effectiveness of the method . because the spline function has double characteristics including analytical and numerical , and good continuity and high correctness , a little unknown number and high efficiency , the spline functions are used to set the displacement of the bar , and the whole structure equations are constructed directly . it is convenient to analyze dynamic response of the structure by using the method 文摘:用样条有限元法分析了杆的接触冲击动力响应问题,建立了计算格式,并用算例说明该方法的有效性.该方法充分利用了样条函数的解析和数值双重性及连续性强的优点来构造杆的位移函数,因此可推广应用于分析结构在冲击荷载下的动力响应问题
In order to obtain elastic stiffness matrices and geometry stiffness matrices that do not depend on subdivision of the element for convergence , the displacement functions are expressed in terms of the geometry properties of the section and this consideration leads to the formulation of exact stiffness matrices for linear elastic analysis given in this paper 本文利用有限元方法对变截面梁单元进行研究。为了得到精度不依赖于划分单元数目多少的弹性、几何刚度矩阵，本文采用变截面构件几何特性积分所获得的轴向、侧向位移函数。
So we can use the networks to identify the function parameters when a box girder module is defined . the outputs of the networks are the coefficients of the bias function to displacement function , the bias function is used to adjust displacement function . the method avoids deflection of the other displacement function aroused 针对不同的箱梁几何特性、载荷形式、边界条件，网络有对应的位移函数调整系数多项式输出，从而构造了带调整系数的位移函数，避免了叠加原理修正的位移函数带来的计算偏差。
In regard to the former , this paper proposes that we could express the displacement function of the member with the b - spline theory , calculate its differential coefficient and express it into the moments and shears of the sections , then set up equations and solve them to get the displacement function 在分析厚板转换层在水平荷载下的内力时，将实体墙、框架等构件的位移函数用b样条来表示，然后对位移函数求导，表示成截面的弯矩、剪力，进而建立静力平衡方程，求解方程得到位移函数。
The rayleigh - ritz method is used to lead to analytical expressions for the stiffness and mass matrices and load vector as well as their sensitivities , which uses the simple polynomials to define assumed displacement functions , geometry and construction of wing structures . excluding some selected terms from the displacement functions or using stiff springs at the specified locations imposes boundary conditions . the accuracy of calculated results is improved by including transverse shear effects and using multiple sets of ritz functions in the analysis 它使用简单多项式作为ritz基函数、定义翼面的几何和结构参数，利用rayleigh - ritz方法导出翼面结构的刚度矩阵、质量矩阵和载荷向量及其灵敏度的解析表达式，通过排除位移函数中某些选定的项或在指定点使用约束弹簧施加各种边界条件，考虑横向剪切变形和使用多组ritz基函数改进分析的质量，使用等效蒙皮和等效夹芯技术提高计算效率。
