采用增量变塑性刚度迭代法，求解非线性动力方程。
The incremental variable plastic stiffness iteration method is employed to solve dynamic equations.
针对多自由度非线性动力方程，提出了一种改进的增维精细积分法。
An improved increment-dimensional precise integration method for the nonlinear dynamic equation with multi-degree-of-freedom was proposed.
讨论了时标上的一类中立型非线性动力方程的稳定性，得出了该方程一致稳定的充分条件。
In this paper, we study the stability of a class of neutral dynamic equations on time scales, the sufficient conditions of uniform stability of this equation are obtained.
本文在严格、完整的基础上，利用矩阵范数理论研究了结构非线性动力分析中数值积分格式的稳定性问题，给出了判别单自由度非线性动力方程积分格式稳定性的一般数学准则。
The problem of stability in the numerical integration schemes of nonlinear dynamic analysis of structures is discussed by using matrix and norm theory on a rigorous and complete basis in this paper.
这幅图片展示了曼德尔勃特集合(Mandelbrotset)与离散混沌动力系统(logistic map)之间的一致性，这解释了复杂而无序的行为可以由简单的非线性动态方程序中得出。
This graph shows correspondence between the Mandelbrot set and the logistic map, which explains how complex, chaotic behavior can arise from simple non-linear dynamical equations.
本文以清楚的物理概念，依据经典力学原理建立了两相介质完整的动力学非线性方程组。
Based on clear physical concepts, complete nonlinear dynamic equations of two-phase media are derived by using classic mechanical principle directly.
飞行动力学研究中常遇到求解非线性代数方程组的问题。
The solution of nonlinear algebraic equations is usually met in the study of flight dynamics.
以斜支承弹簧系统为研究对象，建立了矩形脉冲激励下系统非线性动力学方程。
The nonlinear dynamical equations of inclined support spring system were obtained under the excitation of rectangular pulse.
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 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。
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.
利用精细积分技术对同伦摄动方法进行了改进，构造了一种求解非线性动力学方程的新的渐近数值方法。
A new asymptotic numerical method for nonlinear dynamic equations was proposed. In this method, the homotopy perturbation method was improved by using the precise integration technique.
同时又分别以连续和间歇发酵非线性动力系统为状态方程，建立了两个非线性最优控制模型。
At the same time, two other optimal control models are formed taking nonlinear dynamic system in continuous and batch culture as state equations separately.
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.
本文导出的动力学控制方程是高度非线性的STIFF常微分方程组。
The dynamic equations developed in this paper are a set of highly nonlinear STIFF ordinary differential equations.
然后根据选定的量测方案建立观测方程，并按极大似然原理导出非线性动力学系统的参数辨识算法。
According to the selected scheme an equation is constituted for the observation. Identification algorithm for the nonlinear dynamic system, is deduced following the maximum likelihood principle.
本文提出一种新的自适应控制算法，用于补偿机器人动力学方程中的非线性项和消除关节间的耦合。
A new adaptive control algorithm is proposed in this paper to compensate nonlinear terms in the dynamic equation of robot and decouple the dynamic interaction among the joints.
利用拉格朗日法和假设模态方法建立了末端柔性的两臂漂浮基空间机器人的非线性动力学方程。
Nonlinear dynamic equations of a free-floating space robot with two manipulators and a flexible end-manipulator are established based on Lagrange and assumed mode methods.
一元线性方程、抛物线方程及非线性阻尼振动方程对描述土壤缓冲速率及缓冲量动力学具有适应性；
Linear equation with one unknown, parabolic equation and nonlinear damped vibration equation well fit to describe the dynamics of Lou soil buffering rate or value.
通过对二维非线性动力系统的截断近似，使得二维非线性动力系统由一组方程来表达。
Nonlinear dynamic system in two dimensions is expressed by a group of equations by approximately Truncating nonlinear dynamic system in two dimensions.
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.
油液阻尼器受指数型高斯色噪声外激励时，活塞在油腔内的运动可用一阶非线性动力学方程描述。
The motion of plunger of oleo damper excited by colored Gaussian noise with exponential correlation time is governed by first order nonlinear differential equation.
为了验证非线性颤振边界的求解方法，还利用ONERA气动力模型中的线性部分建立了夹芯翼的线性颤振方程。
In order to validate the presented method, the linear flutter equations of the sandwich wing are established using the linear part of the ONERA model.
非线性方程解的存在性和唯一性问题的研究是非线性动力学的主要研究内容之一。
The research on the existence and uniqueness of solutions of nonlinear partial differential equations is one of main branches of nonlinear dynamics.
一类受高斯白噪声激励的非线性动力学方程能通过求解对应的F Pk方程得到精确稳态解。
The exact stationary solution of a class of nonlinear dynamic problems subjected to Gaussian white noise has been obtained by solving its corresponding Fokker Planck Kolmogorov equation.
连续搅拌反应釜可以根据反应物料的衡算式建立非线性动力学方程。
The nonlinear dynamic equation of CSTR can be built on the basis of materiel equivalency by the mechanism modeling method.
方法利用庞加莱截面、李雅普·诺夫指数、关联维等工具分别对抛物方程和椭圆方程的非线性动力学行为进行描述。
Methods Nonlinear dynamical behavior of both parabolic equation and elliptic equation were investigated by several tools such as Poincare section, Lyapunov exponent, and correlation dimension.
用一种新的处理线性或非线性方程的重整化数学方法求解了碰撞等离子体中的平行动力学方程。
A new renormalization mathematics method of treating linear or nonlinear questions is used in solving parallel-kinetic equation in collision plasmas.
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。
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.
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.
针对该微分方程的非线性特点，采用一阶谐波平衡法，进行了动力响应的计算分析。
The harmonic balance method(HBM)was employed to solve the forced response of damped blades considering nonlinear feature of differential equations.
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