分析了国内外在列车-轨道（桥梁）时变系统空间振动方程的建立及其求解过程中存在的根本问题。
The fundamental problem in the establishment and solution to the spatial vibration equation of train-track (bridge) time-varying system at home and abroad is analyzed in detail.
用积分变换和积分方程研究多孔饱和半空间上刚性圆板的垂直振动问题。
The vertical vibration of a rigld circular plate on a poroelastic half space is studied by using the technique of integral transform and integral equation.
最后自动组成空间刚体自由振动微分方程的系数阵，并计算出刚体的自振频率和振型。
Therefore, the differential equations 'coefficient matrix of the free vibration of the spatial rigid body is automatically formed, and free vibration frequency and its type can also be found out.
为了降低高速电梯的水平振动，建立了4自由度的电梯轿厢水平振动主动控制的动力学模型，给出了微分方程，建立了状态空间模型；
To reduce the horizontal vibrations of high-speed elevator, a 4DOF dynamic model of elevator was developed, and the differential equations and the state space model were also given.
本文用四维相空间和四阶自洽常微分方程描写了单摆的受迫振动。
The forced vibration of pendulum is described by four-dimensional phase space and the fourth order autonomous ordinary differential equation.
用积分变换和积分方程研究多孔饱和半空间上刚性圆板的垂直振动问题。
Then the dual integral equations of the venical vibration of a rigid circular plate on a fluid-saturated poroelastic half space are established according to the mixed boundary permeability condit.
推导了硅微机械振动轮陀螺仪的动力学方程，给出了它的运动规律，分析了载体绕空间任意轴匀速旋转时干扰力矩所引起的漂移率。
This paper gives the dynamic equations of vibratory wheel silicon micromechanical gyroscope and their motion law, analyses drifts of the gyroscope, when vehicle rotates around any axis uniformly.
建立了组合梁在任意边界条件下振动与稳定性的状态空间控制方程和振动频率与轴压载荷之间的相互关系式。
The state space equations for vibration and stability of composite laminated beams under axial compression have been derived for arbitrary boundary conditions.
将均匀杆自由纵振动运动方程中对空间的偏导数用差商代替，就得到一维单原子链晶格振动的运动方程。
Raplacing the spatial derivatives by spatial differences in the equation of the latter, we get the equation of the former.
将均匀杆自由纵振动运动方程中对空间的偏导数用差商代替，就得到一维单原子链晶格振动的运动方程。
Raplacing the spatial derivatives by spatial differences in the equation of the latter, we get the equation of the former.
应用推荐