The equation of motion of particles has been reduced to the pendulum equation with a damping term and a forced term by using the sine_squared potential.
利用正弦平方势，把粒子运动方程化为具有运动阻尼和周期调制的摆方程。
The motion of spherical pendulum in z-direction is described by nonlinear oscillation equation.
用非线性振动方程描述了球摆在 z 方向上的运动。
So I go to this equation, and so I ask, what is the period of a pendulum?
所以得到一个方程，那我问，摆的周期是多少？
The motion of spherical pendulum in z direction is described by nonlinear oscillation equation.
球面摆铅直方向的运动由一非线性振动方程描述。
As an approximate method, with the trigonometric function, the simple pendulum dynamical equation is simplified, and the approximate formula for the period of simple pendulum movement is presented.
利用三角函数作为一种近似方法，对单摆的动力学方程进行了简化，给出了大角度条件下单摆运动的周期的近似公式。
It is more conciseness and convenience to solve the period of elliptical pendulum by using Lagrange equation than using Newtonian mechanics.
应用拉格朗日方程求解椭圆摆的周期，比用牛顿力学的方法简明方便。
The forced vibration of pendulum is described by four-dimensional phase space and the fourth order autonomous ordinary differential equation.
本文用四维相空间和四阶自洽常微分方程描写了单摆的受迫振动。
According to classical mechanics and DE Broglie theory, this paper USES quadruplicate equation theory, and deduces the energy spectrum of conical pendulum.
根据经典力学和德布罗意理论，运用四次方程理论，推出了圆锥摆的能谱。
New variable is introduced based on energetic equation, the period of vibration of three wire pendulum is studied using the method of rotating vector.
由能量方程出发，引入新变量，用旋转矢量法讨论了三线摆大角度摆动时的周期。
Based on the theory of horizontal pendulum, the theoretical function model of magnetic error of self adjusting level is deriveted, and observation equation in geomagnetic field is set up.
利用物理摆原理导出了自动安平水准仪磁致误差的理论函数模型，建立了地磁场中的观测方程。
Then the equation of helicopter pendulum is derived from the nonlinear differential equation and linear differential equation, with the principle of helicopter aerodynamics.
深入探讨了单旋翼涵道风扇式无人直升机的动力学原理，结合其全量方程和线性化增量方程，推导出了其钟摆模态的数学表示。
The existence of odd-harmonic solutions for a second order pendulum-type oscillation equation was studied.
研究了二阶摆型振动方程奇调和解的存在性。
Studying the equation of motion of damped simple pendulum, the shock wave solution is found.
研究和分析有阻尼单摆的运动方程，应用近似法方程时发现存在冲击波解并精确求解。
From the data, the team formed a mathematical model of walking which establishes every joint as a pendulum with a corresponding equation.
从数据，该球队形成步行的一个数学模型，建立各关节作为具有摆相应的方程。
A variable length simple pendulum model is introduced, elementary analysis and perturbation analytic solution of nonlinear differential equation for parametric resonance are presented.
采用可变长度单摆的力学模型对秋千振荡给出初等分析，采用微扰近似法导出了秋千的非线性参数共振解析解， 并进行了讨论。
Movable equation of the inverted pendulum is derived, according to the dynamics analysis method of Lagrange. By system feasible approximation, an easily analytical math model is deduced.
基于拉格朗日动力学分析方法，推导出倒立摆的运动方程，在对系统进行可行的近似化处理后，得出了便于分析的数学模型。
Movable equation of the inverted pendulum is derived, according to the dynamics analysis method of Lagrange. By system feasible approximation, an easily analytical math model is deduced.
基于拉格朗日动力学分析方法，推导出倒立摆的运动方程，在对系统进行可行的近似化处理后，得出了便于分析的数学模型。
应用推荐