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The influence of initial imperfections on the stability ofcomposite laminated plates was studied by solving the nonlinear governing equations for laminated plates with elastical restraints subject to in-plane loading using the energy variational principle and nonlinear geometric equations incorporating the initial imperfection. The governing equations were solved using generalized Fourier series to obtain the effect of the non-uniform order term.

为深入研究初始缺陷对复合材料层板稳定性的影响，利用能量变分原理和考虑初始缺陷的非线性几何方程，建立了具有弹性约束的层合板在面内载荷作用下的非线性稳定性控制方程组，运用广义傅立叶级数法对其进行求解，并进一步获得了影响非线性稳定性控制方程组的性质的非齐次项。

All of the variational law of density, longitudinal wave velocity and tensile strength of gritstone after high temperature are studied.

对40块粗砂岩试件高温后的密度、纵波波速和抗拉强度变化规律进行了试验研究。

For non-conservative mechanical systems,the classical variational principle of Hamilton does not hold true.

对非保守机械系统，传统的哈密顿变分原理不能认为是正确的。

By using Legendre transformation, the Hamilton mixed energy variational principle is established and semi-analytical solution of electric-magnetic theory is presented.

同时，利用勒让德变换给出Hamilton型混合能变分原理，并在此基础上建立电磁理论的半解析的数值解法。

Based on the analogy of structural mechanics and optimal contro1, and a1so based on carrying the minimum potential energy variational principle in elastici- ty to the generalized one, the theory of Hami1tonian system can be introduced into theory of e1asticity and e11iptic PDE. The transverse eigensolutions of the Hamiltonian operator matrix and its expansion solution method can be deduced.

利用结构力学与最优控制相模拟的理论，将弹性力学势能变分原理导向部分一般变分原理，并将哈密尔顿体系的理论引入到弹性力学与椭圆型偏微分方程之中，导出一套横向哈密尔顿算子矩阵的本征函数向量展开解法。

We first study the Hamiltonian structure and the conservation properties of equation (2) using variational method.

2周期边值问题的数值解问题。

A class of generalized multi-valued vector variational inequality problem is studied in Hausdorff topological vector space.

研究了Hausdorff拓扑向量空间中一类广义多值向量变分不等式问题，把定义在凸集上的GMVVIP部分地推广到了非凸集并运用KKM定理得到了这类GMVVIP解的存在性定理。

In Chapter 6, we study a kind of system of nonlinear variational inequalities and its related auxiliary problems in real Hilbert space.

针对一类非线性变分不等式系统，我们研究了其相关辅助问题，建立了辅助问题解的存在性定理。

We also introduce and study a new system generalized nonlinear variational inclusions for fuzzy mappings in Hilbert space.

我们利用极大单调映象的预解算子技巧，建立了这类模糊映象的变分包含组与非线性集值映象的不动点问题之间的等价关系，再利用Nadler的不动点定理给出了这类变分包含组的解的存在性定理。

Axisymmetric nonlinear free vibrations of bimetallic shallow shells of revolution with uniformly distributed stationary temperature changes are investigated using the energy variational method and the homotopic perturbation method.

数值结果表明，变温对双层扁壳非线性振动的频率有明显的影响，而扁壳矢高可以改变振动的弹簧特性。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。