对于扁锥壳的非线性动力自由振动方程，给出了准确解。
The precise solution of free vibration equation of flat conical shall is presented.
为了讨论混沌运动，对一类非线性动力系统的自由振动方程进行了求解。
A kind of free vibration equation of the nonlinear dynamical system is solved to study chaotic movement.
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.
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.
然后由叠加原理将环扇形板的自由振动问题转化为积分方程特征值问题；
Then the eigenvalue problem of free vibration of annular sector plates is transformed into the eigenvalue problem of integral equation by using superposition theorem.
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.
计及几何非线性，在各种板边条件下，建立圆板自由振动的非线性动力学方程。
The nonlinear dynamic equation of free vibration to a circular plate for various boundary conditions, with the geometric nonlinear effects taken into account.
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.
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.
用里兹平均法导出了系统的自由振动频率方程，并举出一计算实例。
The equation of free vibration frequency of this system has been derived by Averaging Method of W. Ritz and a numerical example is given.
应用流体的势流理论及悬臂梁振动方程，本文分析了悬臂梁流体悬臂梁耦联系统的自由振动问题。
Based on the potential flow theory of liquid and vibration equation of cantilever beam, the free vibration problem of cantilever beam liquid cantilever beam coupled system is analyzed in this paper.
当谐振子处于自由振动的情况下，建立了半球谐振子二阶固有振型的动力学方程。
The kinetic equation of hemispherical resonator second order natural vibration type is established when the resonator is in the case of free vibration.
推导了弹性支承梁的横向自由振动模态的特征方程。
The latent equation of the freely vibration modes of elastic bearing beam is deduced.
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.
本文采用交替迭代法分析索-桁结构体系，并导出了这种杂交结构无阻尼自由振动的简化方程，通过算例分析得出了一些对实际工程有益的结论。
In this paper, the alternate iteration method is used in static analysis of cable truss hybrid structural system, and the simplified non damping free vibration equations have been drawn.
根据弹性薄板自由振动问题的基本方程，把问题引入到哈密顿对偶体系中。
Based on the basic equations of free vibration of thin plate, the Hamilton canonical equations were obtained.
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.
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.
一维单原子链晶格振动与均匀杆自由纵振动的运动方程在数学上存在内在的联系。
The equation of lattice vibration of one-dimensional monatomic lattice and the equation of longitudinal vibration of a uniform bar are discussed.
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.
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.
由动力学的一般解，导出了扇形板和扇形环板在广义弹性简支和广义刚性滑动边界条件下自由振动的频率方程和振型；
From these dynamic solutions, frequency and mode shapes of sectorial plate and sectorial annular plate under boundary conditions of GSS and GRS are 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.
建立了四自由度车辆悬挂系统的动力学模型，并应用非线性随机振动理论，在对模型输入进行过滤白噪声简化的基础上，探讨了用FPK法解方程的可能途径。
A 4d dynamic model has been established for the vehicle suspension system. No-linear random vibration theory is used to discuss how to solve this equation by FPK based on filtered white noise input.
利用球坐标中的原始运动方程组，讨论了大气的自由振动问题。
By using the primitive equations of motion in spherical coordinates, free oscillations of the atmosphere are discussed.
给出了单悬索系统的振动基本方程，及线性化方法确定系统自由振动的频率与模态方程。
The general equations of the vibrations of the single cable system have been erected, and the linear theory is used to determine the frequencies and the modes of the cable system.
本文针对后梁系统单自由度运动方程的非线性振动分析对工程设计、织造工艺改善有一定理论意义；
The nonlinear dynamic analysis to SDOF function of the back-rest system can be benefit for engineering design and improvement of weaving technology.
本文针对后梁系统单自由度运动方程的非线性振动分析对工程设计、织造工艺改善有一定理论意义；
The nonlinear dynamic analysis to SDOF function of the back-rest system can be benefit for engineering design and improvement of weaving technology.
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