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It is often seen that only lower order modes of the beam without large overallmotions are chosen to reduce the number of the generalized coordinates,the simulation,however,is able to reach certain accuracy.

本章对不同转速和中心刚体半径下模态截断法和有限元法的仿真结果进行比较，根据两种方法的振动基频的相对误差确定了模态截断的阶数与转速、中心刚体半径的关系，提出了模态截断的准则，解决了模态截断法的精度问题。

Choosing displacement of each layer regard as generalized coordinates of the system, Lagrang＇ s equations of the system are established.

结果表明：系统具有一个共振频率，容器的底部以这个频率竖向振动时，各粉末层的加速度达到各自的最大值；当容器的底部以共振频率竖向振动时，各粉末层的加速度是不相同的，当拱所在的那一粉末层有最大的振动加速度时，拱最可能被破碎。

Based on the improved local piston theory , this paper presents the matrix expression of generalized aerodynamic forces expressed by the generalized coordinates.

基于改进的当地流活塞理论，推导了用模态坐标表示的弹性振动翼面的非定常广义气动力表达式。

Three translational and rotational generalized coordinates of ship were introduced based on the aeroelastic model of helicopter.

在旋翼气弹计算模型基础上引入舰船3个平动和3个转动广义坐标，根据Hamilton原理建立了基于广义力形式的计入舰船运动的旋翼瞬态气弹响应计算模型。

The method is obtaining the ground state of the Hamiltonian which is constructed by general quadratic form of generalized coordinates and momenta.

方法是求得一维和二维以及n维由广义坐标和广义动量的一般二次型构成得哈密顿量的基态，由此可以求得各能级的本征态。

When the vehicle vibrates, the ratio coefficients of the characteristics of components in fixed position and the corresponding characteristics of suspension are a function of generalized coordinates.

车辆振动过程中，实际安装位置的元件特性与悬挂特性的比例系数是广义坐标的函数。为了使数学模型尽量接近实际情况，本文导出了此比例系数与广义坐标的关系。

Since the nonholonomic constraint constrains the time derivatives of the generalized coordinates of the system and does not reduce the degree of the system configuration freedom, the number of the dependent control inputs is less than the degree of the system configuration freedom, which leads to a difficulty in controller design.

由于非完整约束是对系统广义坐标导数的约束，它不减少系统的位形自由度，这使得系统的独立控制个数少于系统的位形自由度，给其控制设计带来很大困难。

Since the number of generalized coordinates is large when using the finite elemen

因为用有限元离散时，柔性薄板的广义坐标规模较大，故仿真计算需要时间较长，所以模态截断法被用来缩减广义坐标数量，提高计算效率。

Based on the analytic model of an eccentric slider crank mechanism with elastic effects at both joints of the coupler and four coupler Mathieu-typed equations of motion in terms of the generalized coordinates of the system,the extract solution is developed from the improved Hill method with accelerated convergence.

在所建立的连杆接头处具有弹性效应的曲柄滑块机构的动态解析模型以及在广义坐标下推导出的4个马修型运动方程的基础上，由具有加速收敛性的改进希尔法进行了精确求解。

It can show the relation of angular speed for each component of automatic transmission. This paper established general mathematical models of multi-DOF transmission analysis on speed ratio and kinematics and dynamics. As generalized coordinates with parameter of independent component. And the developed relevant general programs.

以运动独立构件为广义坐标，建立了包含任意接合元件的多自由度变速器的档位分析，运动分析，力矩分析和动力分析的通用数学模型，并开发了相应的通用计算机程序，通过对典型变速器的实例分析，验证了所建立的通用数学模型的正确性以及所开发的计算机通用程序的有效性。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。