建立了阶梯式变厚度圆板横向自由振动的微分方程，得出其初参数解。
A differentinal equation of transverse free vibration is established for circular plates with stepped variable thickness, and the initial parameter solution of this equation is obtained.
将杆作自由振动的微分方程作降阶处理后，和梁的弯曲理论作类比，给出了一个迭代算法。
After reduce the bar's free vibration differential equation to a lower order, we analogize it to the bending theory of the beam and gives an iterative procedure.
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.
利用常微分方程组理论在较一般条件下求出了线性有阻尼多自由度振动系统对任意外激励的精确响应。
Exact response of damped linear vibrating systems to arbitrarily excitation is obtained according to theory of ordinary differential equations.
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.
本文建立了正交异性矩形薄板自由振动横向位移函数微分方程的一般解。
A general solution of the differential equation for transverse displacement function of orthotropic rectangular thin plates in free vibration is presented in this paper.
将牵引车的传动系简化为一个2自由度的扭转振动系统，并以二阶微分方程描述。
The driveline for a tractor vehicle is simplified as a 2-DOFs(degree of freedom)torsional vibration system, and is described as a second-order differential equation.
为了研究混沌运动，对一类非线性动力系统的自由振动方程进行了求解，继之给出了单层扁锥面网壳非线性自由振动微分方程的准确解。
In order to study chaos movement, Accurate solution of non-linear free vibration differential equation is by solving a kind of free vibration equation of non-linear dynamics system.
建立了双参数弹性地基上受压的矩形薄板自由振动位移函数微分方程的一般解，其中积分常数由边界来确定。
A general solution of differential equation for free vibration displacement function of compressed rectangular thin plates on two parameters elastic foundation is established.
本文假设了接近砖烟囱实际截面面积的函数，推出了一个变系数的自由振动微分方程。
In this paper, a cross-section function of brick chimney has been assumed based on traditional hypothesis and a variable coefficient free-vibrating differential equation has been derived.
求解有阻尼多自由度结构系统的振动微分方程，实模态分析法是得到广泛应用的一种有效方法。
The dynamic response of the damping multi-DOF structural system is usually calculated by the real modal analysis method.
首先，导出了用极坐标系描述的中厚板自由振动板的微分方程，用分离变量法求得其一般解。
Firstly, the expressions of free vibration of moderately thick plates in polar coordinates are derived and the general solutions are obtained by the means of method of separation of variables.
从锥壳理论出发，导出计算旋转壳自由振动的一阶微分方程组，采用离散变量法进行求解。
From the theory of conical shells, a set of the first-order differential equations for the shells of revolution are derived. The discrete-variable method is used to solve the differential equations.
从锥壳理论出发，导出计算旋转壳自由振动的一阶微分方程组，采用离散变量法进行求解。
From the theory of conical shells, a set of the first-order differential equations for the shells of revolution are derived. The discrete-variable method is used to solve the differential equations.
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