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However,authors still do not find the relevant references on convergence and symmetric problems of the semi-analytical solution.Based on the semi-analytical solution for Hamilton canonical equation theory,the formulations of the clamp and simply supported and symmetric boundary conditions on the Hamiltonian element are derived by the variational principle.Several numerical examples show that with increase of meshes,the convergence rate of the semi-analytical solution is faster than the convergent rate of traditional finite element method based on displacement.

①在厚度上没有任何位移和应力模式的假设,由于传递矩阵方法的引入,从理论上讲,不受板壳厚度或层合板壳层数的限制;②采用弹性力学的Hamilton正则方程半解析法,可以克服边界的局部化效应[8];③由于在平面内或圆柱壳的曲面内采用了有限元法,所以一般的板壳问题不受结构侧面边界条件的限制,在复杂工程板壳问题上具有广泛的应用领域。

Chapter 3 constructs the general solution of the clastic equations which could be programmed by the symbolic language-Maple.

第三章运用"AC=BD"的基本思想给出了弹性力学方程组一般解的一种求法,并在符号计算软件Maple上编程予以实现。

Weak formulation of equilibrium equations including boundary conditions of laminated cylindrical shell is presented, thermal stresses mixed equation of closed continuous cylindrical shell is established.

建立了弹性力学基本方程的弱形式,从而得到叠层连续柱壳混合状态方程和边界条件放在一起的算子方程,扩大了求解的空间,给出了叠层连续闭口柱壳在热荷载和机械荷载作用下的解析解。

According to the micrograph of the composite cross-section, the basic hypothesis related to the yarns configuration is presented. Based on the structural parameters of the three-dimensional woven structure, a unit cell structural geometrical analysis model is built up, and analyzes the linear-elasticity mechanical performance using averaging stiffness approach.

基于对复合材料断面显微照片的观察,提出了关于各向纱线形态的基本假设,结合织物的结构参数,建立了三维正交机织物细观几何结构分析模型,并在此基础上,运用刚度平均法分析了三维正交机织复合材料的线弹性力学性能。

The expressions of multiple complex variable flexure stress function of a infinite plane with arbitrary holes are derived by using the theory of complex variable functions and multiple conformal mapping transformation.

应用弹性力学复变函数理论,采用多保角变换方法,推出了含有任意多孔无限大平板弯曲或者扭转的多复变量弯曲应力函数表达式。

The solutions of two plane strain basic problems can be used to obtain the analytic solutions of two subproblems through the continuity condition of displacement.The theoretical solutions for the stress distribution in...

进一步地,基于两个弹性力学平面应变基本问题的解,采用结构力学的求解思想,由位移连续条件分别求得了两个子问题的解,最后由叠加原理得到了原问题的理论解。

Assuming that linear elastic continuums will deform following the elastic rules of Hook and taking the transformation of linear elastic organs in medical images as that of continuity, Finite element method is used to perform motion analysis, which is non-rigid algorithm based motion.

我们采用基于非刚体的有限元方法对超声心动图像进行运动分析,其中涉及到弹性力学的引入、有限元理论的介绍、单元网格的划分、单元的集成、位移边界条件以及对实验结果的分析。

According to the hypothesis of continuum, a tube with the corner strengthened is gained to make an equal of the frame-tube. B3-spline functions and parabola functions are applied to simulate the displacement functions of the frame-tube. The system of equations about the undetermined coefficients of displacement functions is deduced by using energy-variational principle, by solving which the displacement of the frame-tube is gained. Then the internal forces in the columns and beams of the former frame-tube are obtained according to the principles of elasticity mechanics.

根据连续化假设将框筒等效为角部加强筒体,将三次样条函数与抛物线函数结合假定框筒的位移函数,运用能量变分原理推导出了关于位移函数待定系数的方程组,解得位移函数待定系数进而解得框筒的位移,再根据弹性力学原理确定原框筒中梁柱的内力。

O1 c compactness of the entropy equation; At last, coupling with Kinetic formulation, we can obtain the existence of a strong convergent sequence, then the limit function is just the entropy weak solution of the original systems.3. Existence of global entropy solutions to an inhomogeneous elastodynamics system.

o1 c紧性,最后结合Kinetic理论得到粘性解存在强收敛的子列,从而可得该极限函数即为原方程组的熵弱解。3、研究了一类非齐次弹性力学方程组整体熵解的存在性。

By using integral transformation method, viscoelastic mixed boundary problems can be made to correspond with elastic mixed boundary problems,which is the well-known correspondence principle.

本文结合国内外的研究成果,就粘弹性力学中存在的各种对应原理及数值反演方法进行了归类和总结。

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