The nonlinear governing equations of the system are derived from the Lagrange equation.
由拉格朗日方程导出系统的非线性控制方程。
The system is simplified into single degree of freedom dynamics model with piecewise linear restoring forces and square damping, then the piecewise nonlinear motion equation of ALT is established.
将该系统简化为单自由度分段线性恢复刚度，含平方阻尼的动力学分析模型，建立了铰接装载塔的分段非线性运动方程。
A fundamental nonlinear motion equation about motor protein subject to random force and random potential is derived. The expression of the probability flux of this system was obtained.
考虑在随机力和随机势的共同作用下，建立了马达蛋白所满足的非线性运动方程，并得到了系统的几率流密度。
Nonlinear state equation of single machine infinite bus system with TCR is established to simplify and simulate real power system.
建立了带有TCR的单机无穷大系统的非线性状态方程，用以简化和模拟实际电力系统。
A kind of free vibration equation of the nonlinear dynamical system is solved to study chaotic movement.
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。
The simple expressions of the end force of a cable are deduced according to the catenary equation, and applied to the nonlinear equilibrium equations of a cabin-cable system.
根据悬索悬链线方程推导出索端拉力解析表达式的简单形式，并将其应用到舱索系统的非线性静力学平衡方程中。
We prove that the solution of a nonlinear complementarity problem is exactly the equilibrium point of differential equation system, and prove the asymptotical stability and global convergence.
在一定的条件下我们证明了非线性互补问题的解是该微分方程系统的平衡点，并且证明了该微分方程系统的稳定性和全局收敛性。
In this paper, multi-layer feedforward neural networks are used to solve the nonlinear partial differential equation, and approach the centre manifold of the nonlinear system.
本文用多层前向神经网络求解该非线性偏微分方程，从而逼近非线性系统的中心流形。
According to the nonlinear oscillation theory and the obtained equation, the nonlinear characteristics and evolution law of Kunming precipitation anomaly system were studied.
根据非线性振荡理论和昆明地区的非线性振荡方程研究了昆明地区降水距平率系统演变的非线性特征及其演变规律。
Thus a problem of solving the output correlation function of nonlinear system is turned into a problem of solving an ordinary differential equation.
将求非线性系统输出相关函数的问题，变成解常微分方程的问题。
The motion equation of nonlinear rotor-bearing system is established and the frequency responding equation is obtained by multiple-scales method.
建立非线性转子系统运动方程，利用多尺度法求得频率响应方程。
Author explores a modeling method to be able to generate automatically nonlinear state equation from bonding graph model of hydraulic system by using a computer.
作者通过近年来的研究，探索出一种可以利用计算机从液压系统键合图模型自动生成其非线性状态方程的建模方法。
Miscible compressible displacement in a porous media is modelled by a nonlinear coupled system of two parabolic equations: the pressure equation and the concentration equation.
有界区域上多孔介质中可压缩可混溶驱动问题由两个非线性抛物型方程耦合而成：压力方程和饱和度方程均是抛物型方程。
Miscible compressible displacement in porous media is modelled by a nonlinear coupled system of two parabolic equations: the pressure equation and the concentration equation.
有界区域上多孔介质中可压缩可混溶驱动问题由两个非线性抛物型方程耦合而成：压力方程和饱和度方程均是抛物型方程。
The system is simplified into a single degree of freedom model with piecewise linear restoring force and square damping, the piecewise nonlinear motion equation is established.
将该系统简化为单自由度分段线性恢复力，含平方阻尼的运动学分析模型，建立了铰接装载塔系统的分段非线性动力学方程。
The applicable condition of adiabatic approximation in the system of strong nonlinear over damping oscillator is the equation (5).
强非线性过阻尼振子系统中绝热近似的适用条件是(5)式。
The contributive equation of discontinuous interface to the system of equations is derived and nonlinear iterative algorithms for simulating the contact state of a discontinuous interface are studied.
为此，推导了不连续面对整体平衡方程组的贡献方程，研究了模拟不连续面实际接触状态的非线性迭代算法。
The dynamic equation of the spacecraft with extensional flexible appendages system is time variable and nonlinear, so it is very difficult to solve this kind of equation with traditional methods.
带伸展柔性附件航天器的动力学方程是刚-柔耦合的时变非线性动力学方程，用传统方法求解其动力学响应时会遇到很大的困难。
For revealing the dynamic behavior of the sod-nonlinear structure interaction system, the vibration equation of interaction system is analyzed using modern dynamic theory.
为了揭示地基-非线性结构相互作用体系的动力行为，采用现代动力理论对体系的振动方程进行了定性分析。
By assembling the model of each component, the nonlinear dynamic equation of the whole spindle system is given with experimental validation.
将各子部件模型进行集成，得到整个高速主轴系统的非线性动力学方程，并进行试验验证。
The properties of solution to a class of quasilinear degenerate parabolic system coupled via three nonlinear diffusion equation are considered.
研究了由三个拟线性退化抛物型方程通过非线性项耦合而得到的一类拟线性退化抛物方程组解的性质。
The solving of nonlinear algebraic equation system still needs further study.
非线性代数方程组的求解是一个尚未完全解决的问题。
The solving of nonlinear algebraic equation system still needs further study.
非线性代数方程组的求解是一个尚未完全解决的问题。
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