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Methods In the first place,the mathematical model of the dynamical response of viscoelastic thin plates is established in physical space,then the fundamental equation in Laplace domain is obtained by using Laplace transformation.

首先在物理空间建立了粘弹性薄板动力响应问题的数学模型，然后利用拉普拉斯变换得到拉氏变换域的基本方程；利用基本方程的基本解，由边界元方法得到边界积分方程，并求得数值解；最后通过数值 Laplace 逆变换得到原问题的解。

Concretely, firstly with Timoshenko beams, the fundamental formulae of solutions of dynamical equations, boundary conditions and initial conditions have been transformed by Laplace transformation. Secondly, in the Laplace regions , we gain the analytical solutions of impact forces at the impact contact points, shear and maximum inverse stress of beams. Then, by using Durbin numerical inverse method, we gain the numerical solutions of Timoshenko beams under various restriction conditions. Moreover, the graphs about impact forces at the impact contact points, shear and maximum inverse stress of beams can be obtained too.

把Timoshenko梁力学模型动力学方程的基本解形式、边界条件以及初始条件进行Laplace变换，在Laplace区域得到了冲击接触处的冲击力、整个梁的最大弯曲应力和剪力的解析解，然后利用Durbin数值反演的方法得到了各种约束条件下的Timoshenko梁模型时间-空间的数值解，得到了冲击接触处的冲击力、梁各处的最大弯曲应力和剪力的曲线图。

Kolmogorov introduced the fundamental asymptotic invariant for a dynamical system, the entropy.

Kolmogorov 引入了动力系统的基本的渐近不变量，熵。

Then,the Galerkin method was used to obtain a finite-dimensional dynamical system.

并利用Galerkin方法得到一个有限维的动力系统。

Considering this and comparative analysis, orthogonal list is used to storage coefficient matrix, and Improving Gaussian Elimination Method is used to numerically calculate dynamical equation. Therefore, nodes positions and the real-time moving states of model can be obtained in this way.

此外，本文分析了用于柔性体建模的几何方法、物理方法后，将较为可行的基于弹性理论的弹簧-质点模型引用到充气膜结构的充气过程模拟中，从而可以有效的模拟三维充气膜结构。

Moreover, for the treelike system with prescribed motion and the non-treelike system with closed-loop, the generalized coordinates aren't independent completely. Only the dynamical equations of the system and the constrain equations resulting from the prescribed motion and the closed-loop are combined to form DAEs, it can be solved.

另外，对于有指定运动的树系统或带有闭环的非树系统，系统的广义坐标是不完全独立的，系统的动力学方程要与指定运动或系统切断所附加的约束方程一起组成微分--代数方程组才能求解。

In this paper,the qualitative theory of differential equations and the bifurcation method of dynamical systems are used to investigate the existence of the solitary peakon solution to a generalized Boussinesq equation .

利用微分方程定性理论和动力系统分支方法，对一类广义Boussinesq方程的孤立尖波解的存在性进行了研究。

The influences of the parameters on dynamical characteristic of geophone are numerically analyzed for the seven parameter model.

研究结果可为检波器的特性研究、参数辨识以及进一步的研制开发提供理论基础

Cell mapping is an effective method of global analysis of dynamical systems.

迭代图胞映射方法是动力系统全局分析的有效工具。

In the fourth chapter, we study existence of the global attractors for the coupled partial differential dynamical systems.

第四章研究耦合偏微分动力系统全局吸引子的存在性。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"