三维弹性问题的解析解是很难得到的。
Analytical solutions for three dimensional elasticity problems are quite difficult to obtain.
应用该算法分析三维弹性薄壁结构获得了成功。
Here, the algorithm is employed successfully to analyze the thin-walled structures of the three-dimensional elasticity problems.
基于三维弹性力学控制方程，导出矩形厚薄板的状态方程。
Based on control equations of three dimensional elasticity, the state equations of thick thin plate have been derived.
根据圆柱形坐标系的三维弹性力学控制方程，导出其状态方程。
Based on control equation of three dimensional elasticity in cylindrical coordinate system, the state equation is derived.
本文用三维弹性力学理论求得球壳轴对称扭转振动问题的解析解。
In this paper, an analytical solution of twisted vibration problem for spherical shells is obtained by the three dimensional elastic theory.
从三维弹性力学最基本的平衡方程和本构关系出发，推导出状态传递微分方程。
A transfer matrix differential equation is derived from the three-dimensional equilibrium equations and constitutive equations of a homogeneous, isotropic linear elastic body.
在三维弹性力学边界元法的基础上，推导出二阶单元的基本解快速多极展开格式。
The three-dimensional boundary element method for elastic materials was extended to develop a fast multipole expansion formulation of the fundamental solutions for quadratic elements.
本文从三维弹性力学最基本的平衡方程和本构关系出发，推导出状态传递微分方程。
A state transfer matrix differential equation was derived from the three-dimensional equilibrium equations and constitutive equations of a homogeneous, isotropic linear elastic body.
本文对水下三维弹性结构振动的声辐射问题进行了流体-结构声耦合振动的数值计算。
Numerical calculation of fluid-structure acoustic coupling vibration were carried out for a 3-d elastic structure with FEM applied to structure analysis and BEM to fluid respectively.
数值结果表明，AMG＿CG法对求解三维弹性问题有限元方程是十分有效和健壮的。
Numerical results have shown that this AMG_CG method is very efficient and robust.
根据三维弹性平衡方程和层间剪切滑移条件，导出了一个复合材料层板层间剪切滑移模型。
According to the three dimensional elastic equilibrium equations and the conditions of interfacial shear slip, a model of interfacial shear slip of laminated composite plates is developed.
基于三维弹性理论，导出了带有压电层的圆柱形梯度壳的动力学方程以及相应的边界条件。
Based on 3d elastic theory, the dynamic equations and corresponding boundary conditions about the cylindrical functionally graded shell bonded piezoelectric layers were presented.
基于夹层壳理论和三维弹性动力学理论，研究了无限长夹层圆柱壳在移动内压作用下的临界速度。
The critical velocity of the infinite long sandwich shell to moving internal pressure is studied using sandwich shell theory and elastodynamics theory.
文中求得了周边简支多边形板的弹性改进理论解，数值结果与三维弹性理论精确解的结果非常接近。
The solution of the refined theory for simply supported polygonal plates has been obtained; and its numerical result is very close to the exact solution of the three-dimensional theory of elasticity.
应用三维弹性有限元方法对连铸机扇形段框架体进行分析计算的关键在于结构计算机模拟的可能性和可行性。
The computer simulation procedure is the key to analyzing the mechanical behaviors of the continuous casting segment tower structure using threedimensional finite element analysis method.
采用弹性力学理论及正交各向异性材料三维弹性理论，利用相应的强度准则对复合层合管进行强度分析计算。
The strength analysis and calculation have been achieved by use of the linear elastic theory, elastic theory of 3 dimension orthotropic materials and relevant strength criterion.
本文以边界元法作为应力分析工具，对三维弹性接触问题的形状优化问题进行了理论上的探讨，并对斜齿轮接触问题进行了实际分析。
This paper discusses the optimization problem of 3-D elastic contact objects in theory using BEM, and analyze the real contact problem of helical gears.
本文首先应用三维弹性边界元方法对一鼓形齿联轴器的多齿接触问题进行了数值计算分析，然后在专用试验台架上作了相关实测研究。
The multitooth contact problem of the crown gear coupling is analysed by using 3 D BEM. Actual measurements on a specially designed test bed are made.
采用时间上二阶、空间上高阶近似的交错网格高阶差分公式求解三维弹性波位移-应力方程，并在计算边界处应用基于傍轴近似法得到的三维弹性波方程吸收边界条件。
Here, we use second-order, temporal - and high-order spatial finite-difference formulations with a staggered grid for discretization of the 3-d elastic wave equations of motion.
在弹性力学求解新体系中，将对偶向量进行重新排序后，提出了一种新的对偶微分矩阵，对于有一个方向正交的各向异性材料的三维弹性力学问题发现了一种新的正交关系。
In a new systematic methodology for theory of elasticity a new dual differential matrix is presented by the dual vectors over again sorted and a new orthogonality relationship is discover.
利用已得到的三维轴对称问题的非局部弹性应力的解，采用级数近似展开的方法，求解环状裂纹的边值问题。
Solves the problem of boundary value on an annular crack by using the nonlocal stress solution of an axisymmetric crack problem and approximative method of series expansion.
本文采用三维各向异性弹性理论直接求解纤维增强的复合材料叠层圆柱壳体在轴向载荷作用下的位移场和应力场。
In this paper, the displacement and stress fields for a composite laminated circular shell under axial load are solved by. using three-dimensional anisotropic elasticity theory.
方法：用三维有限元的方法对不同弹性模量和不同直径种植体植入后骨界面的初始应力进行分析。
METHODS: Three-dimensional finite element method was used to analyze the initial stress around screw implant of different elastic modulus and different diameter.
本文介绍了采用三维光弹性应力冻结法，对旋转正方形试样半边裂纹应力强度因子进行研究的成果。
This paper introduces a research result on the stress intensity factors of crackles on single side of revolving square sample with the stress freezing in three-dimensional photoelasticity.
本文提出了一种基于迭代技术的边界元法求解三维无滑动摩擦型弹性接触问题。
A boundary element method based on an iterative technique for solving the three-dimensional elastic contact problem without sliding is presented.
本文提出了弹性地基上板的三维应力分析方法。
This paper presents the three dimensional stress analysis method of slabs on elastic foundation.
它耦合了三维刚塑性有限元法，弹性有限元法和计算辊系变形的影响函数方法。
Three-dimensional rigid-plastic finite elements, elastic finite elements and influential function method for the analysis of deformation of rolls system are combined.
本文用三维光弹性法分析锥齿轮在扭矩和离心载荷下的应力分布。
The three-dimensional photoelasticity method is used to analyze the stress distribution in the bevel gear under torsional moment and centrifugal load.
本文用三维光弹性法分析锥齿轮在扭矩和离心载荷下的应力分布。
The three-dimensional photoelasticity method is used to analyze the stress distribution in the bevel gear under torsional moment and centrifugal load.
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