其运动方程是一个非线性微分方程。
用有限差分法求解非线性微分方程组。
The nonlinear differential equations are solved using finite difference method.
该算法也能应用到其它非线性微分方程中。
This algorithm can also be applied to other nonlinear differential equations.
绝大多数非线性微分方程是不能用解析方法求解的。
The overwhelming majority of nonlinear differential equations are not soluble analytically.
首先利用荷载增量法将薄板弯曲的非线性微分方程线性化。
At the first, the nonlinear differential equations for the bending of a thin plate are linearized by means of incremental loading method.
该方程右边的函数在实数域内不连续，是一个高度非线性微分方程组。
The equations are extra nonlinear differential equations. the dexter function is not continuous in field of real number .
给出了带有双侧共振的非线性微分方程周期解存在性的一个新的结果。
A new result about existence of periodic solutions of nonlinear differential equations with double resonance will be given.
引入求解非线性微分方程的微分变换法，将其推广为广义微分变换法。
A differential transform method is introduced to solve nonlinear differential equations and extended as a generalized differential transform method.
还得到了有限离散区间上非线性微分方程在周期边值条件下的一些新结果。
We report some new results about nonlinear differential equations on a finite discrete segment with periodic boundary conditions.
首次提出了采用三阶非线性微分方程组描述新型静止无功发生器的动态过程；
The three-order nonlinear differential equation set which is used to describe dynamic behavior of ASVG is proposed in this paper.
第二节介绍用三次矩阵样条函数方法逼近一阶矩阵非线性微分方程的数值解。
Section II describes the numerical solution of first-order matrix differential non-linear equation using the cubic matrix spline function.
本文给出了某些二阶非线性微分方程在周期外力作用下存在调和解的若干定理。
In this paper we prove some theorems on harmonic solutions of some second-order nonlinear equations under a periodic external force.
应用类比法，给出了一类五阶非线性微分方程零解的全局渐近稳定的充分条件。
In this paper, analogy method is used to discuss the global, asymptotical and stable zero solution of non-linear five-order differential equation.
文章的研究方法，为求解耦合的非线性微分方程组的行波精确解组探索了蹊径。
The research methods in this paper provide certain ways for obtaining the traveling wave accurate solutions of the coupling nonlinear differential equations.
对二阶变系数非线性微分方程的常系数化给出两个使其可积的条件，并举例论证。
The two conditions of the second order nonlinear differential equation with variable coefficient are given and expounded with examples.
利用辅助函数对一类二阶非线性微分方程进行研究，给出了其解有界的充分条件。
Using the auxiliary function, studies the boundedness of solutions of a kind of 2-order nonlinear differential equations with delay, then gives sufficient conditions of them.
在本文中，研究了高阶非线性微分方程的振动性与渐近性，给出了振动的充要条件。
In this paper, we study oscillation and asymptotic behavior of solutions of higher order nonlinear differential equations, and give necessary and sufficient conditions for oscillation.
这种阻尼器的性能可通过一组非线性微分方程来描述，物理参数包括位移、电压和力。
The characteristics of MR damper have been described by a set of nonlinear differential equations including three physical parameters such as displacement, voltage and force.
本文从非线性微分方程的解过渡到线性稳定分析，从而讨论出稳定态与非稳定态的情况。
In This paper, linear steady analysis is Made from the solution of non-linear differential equation and Luther, the situation of steady state or non-steady state is discussed.
对振动超标的悬辊式旋风磨机进行了振动分析，建立了反映磨机运动的非线性微分方程；
Vibration analysis has been made for a hanging roller blast pulverizer which runs over the vibration standard and its motion equation is a nonlinear differential equation.
本文考虑随机波浪及船舶的非线性阻尼、非线性恢复力矩，建立船舶横摇运动的非线性微分方程。
The random waves, non-linear damp and ship non-linear restore moment are taken into consideration and the ship rolling non-linear differential equation is established.
该算法与解析法相比具有计算简单、结果精度高的特点，其作图可推广到非线性微分方程的求解。
It features simplicity in calculation, higher precision in consequence compared with analytic method. It can be applied generalized to solve non-linear difference equation.
考虑非线性阻尼、非线性复原力矩和随机波浪，建立了随机横浪中船舶运动的随机非线性微分方程。
The random nonlinear differential equation of ship's motion is established considering the nonlinear damping, nonlinear recover moment and random waves.
本文以实验为依据，假定起重机的旋转角速度按正弦规律变化，推出货重偏摆角的非线性微分方程。
This paper assumes the rotational angular velocity of a crane according to the experimental sine rule, and derives the nonlinear differential equations of the swing Angle.
由于得到的简化微分方程组为非线性微分方程组，因此本文选用牛顿迭代法来在求解此微分方程组。
The Newton-iterative method is adopted in order to acquire the keys of the equilibrium equations because the equations are non-linear differential equations.
结论的普遍性可以推广到数学力学学科，并给出了这一类三阶非线性微分方程求定性解的一般方法。
The universality of the conclusion can be spread to mathematics and mechanics science also and give a popular method to solving this third-order nonlinear differential equation qualitatively.
根据耦合波理论，从描述反射全息的非线性微分方程出发，对反射全息图的振幅反射系数进行了分析。
According to coupled wave theory, and from the non-linear differential equation describing characteristics of reflection hologram, the reflective coefficient of reflection hologram is analyzed.
根据耦合波理论，从描述反射全息的非线性微分方程出发，对反射全息图的振幅反射系数进行了分析。
According to coupled wave theory, and from the non-linear differential equation describing characteristics of reflection hologram, the reflective coefficient of reflection hologram is analyzed.
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