查询词典 lagrange equation of motion

In this paper, Lagrange function and a Hami quantity are used to develop the equation of motion for a non-inertial system in the presence of central force field.

采用拉格朗日函数与哈密顿量来讨论非惯性系统在有心力场存在时的运动方程。研究结果表明，这一方法远比通常方法简单、方便

A motion reference coordinate system of this quadruped robot and its simplified-structure of the multi-rigid body dynamics model are established. After kinematic and dynamic analysis, the kinematic equation, inverse kinematic equation and Jacobi matrix of the quadruped robot are presented, and the second kind of Lagrange dynamic equation group for simplified-structure of the quadruped robots multi-rigid body system is educed.

建立了该机器人的运动坐标体系，及其等效简化结构的多刚体动力学模型，对上述模型进行了运动学和动力学分析，给出了该机器人的运动学、逆运动学方程和雅可比矩阵，并导出了其简化结构多刚体系统的第二类Lagrange动力学方程组。

According to the Lagrange dynamics equation of motion, a mathematical model of the ship-controlled passive anti-rolling tank system is developed.

本文根据拉格朗日动力学方程建立了船舶–可控被动式减摇水舱系统的数学模型。

The Lagrange motion equation of the system is established, and synchronous movement is studied. Exact solution of synchronous movement is presented and movement disciplinarian is studied. It proved that under certain condition, it exist periodic motion.

在本文中对该模型建立Lagrange运动方程，主要研究其同步运动，求出同步运动的精确解，并分析其运动规律，证明了在一定条件下存在周期解。

Optimal liquidation ; intraday liquidity pattern ; Lagrange equation of motion ; Frobenius

最优变现；日内流动性模式；拉格朗日运动方程； Frobenius方法

Considering that the trade's price impact function includes the trade size and the liquidity discount of security market at that time,under the assumption that the risky asset's price follows the arithmetic Brown motion,and based on the none-shape,L shape or U shape of intraday liquidity patterns,this paper introduced the Lagrange equation of motion and the method of Frobenius,and found out the optimal intraday liquidation strategies of large security positions.

考虑到交易的价格影响是该时刻的交易量与市场流动性折扣的函数，假设风险资产价格服从算术布朗运动，以及分别在不考虑日内流动性模式，考虑L形和U形日内流动性模式的基础上，采用拉格朗日运动方程以及Frobenius方法，得到了大额风险头寸的日内最优变现策略。

Based on the Lagrangian equation with dissipation function, the motion equation of a microbubble with shell is obtained, and the dynamic characteristics of microbubble with shell in free space are studied. It shows that the inner and outer maximum radii of the microbubble increase when the acoustic pressure and its initial radius increase, as well as when the ultrasonic frequency decreases.

理论上利用有耗散函数的Lagrange方程，建立了有壳微泡的R运动方程，开展了自由空间中有壳微泡动力学特性的研究，表明微泡内外半径增量随声压的增大、超声频率的降低、初始内径的增大及壳厚的减薄而迅速增大。

In the study of the Lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. Outside of a large disc, using the symplectic transformation of the Hamilton system to estimate the iteration of the successor map. Applying the Moser's small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded. We will estimate the successor map of the equation directly for proving the unboundedness of the bouncing solutions.

在碰撞运动的Lagrange稳定性的讨论中，给出了渐近线性方程碰撞解有界或无界的条件，在充分大的圆盘外，通过Hamilton系统的辛坐标变换的角度平均来估计后继映射的迭代，应用Moser小扭转定理得到不变曲线从而给出在一定条件下碰撞解有界的证明，碰撞解无界性的证明将采用直接估计后继映射的方法给出。

The differential equations of motion and the state space model of the single inverted pendulum nonconservative damping system are deduced by using the second kind Lagrange equation.

利用第二类Lagrange方程推导了一级倒立摆非保守有阻尼系统的运动微分方程和状态空间模型。

To investigate the dynamic stability of a two-degree-of-freedom manipulator as a system,differential equations of motion for this system were established on the basis of the Lagrange equation,and perturbed differential equations with period coefficients were derived for the period motion of this system by applying the perturbance theory.

为了研究两自由度机械手系统的动力学稳定性，基于拉格朗日方程给出了它的运动微分方程，并用扰动理论确定系统周期运动具有周期系数的扰动微分方程；根据F loquet理论对该系统扰动微分方程的平衡点的稳定性进行了分析，并用数值方法研究了平衡点失稳后的倍周期分岔过程。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新