A model is presented based on the Duffing equation, which describes the behavior of the nanomechanical resonators.
纳机械谐振器有几百兆甚至更高的工作频率,本文利用达芬方程作为纳机械谐振器的动力学方程,用数值方法求解了电磁驱动纳机械谐振器的动态特性,计算表明谐振器有明显的非线性特性,与国外已有的实验结果相符合,该分析方法可以为纳机械混频器设计提供参考。
An advantage of Galerkin method was that, for a given trial function, the residuals of the dynamic von Karman partial differential equations could be eliminated easily, thereby the governing equation of an annular thin plate for forced vibration, namely the hard-spring type of Duffing equation, could be obtained.
为研究环形薄圆板非线性振动特性,用伽辽金法消除动态卡门偏微分方程的残值,推导出了环形薄圆板的受迫振动控制方程,即硬弹簧型达芬方程;用KBM法求解达芬方程,定性地探讨了边界条件、阻尼比、外激振力和内外半径比对环形薄圆板振动的影响,得到了4种边界条件下共振时激起的振幅均随半径比或阻尼比的增大而减少的结论;取外激振力作为控制参数,进行理论分析和数值仿真,发现随着外激振力的增大,动力系统从围绕1个焦点的周期运动转变成围绕2个焦点的周期运动。
Solution of Forecasting-Correcting-Improving Algorithm to Quaternion Differential Equation of SINS Attitude;
基于预测-校正-改进算法解算SINS姿态的四元数微分方程
The simulation solution of dynamics differential equation based on pspice;
基于Pspice的动力学微分方程的模拟解
The relationship between supply and demand in stock markets and differential equations of stock price;
股票市场供求关系与股价及其变化率的微分方程
Existence of asymptotically almost periodic solutions for some differential equations with piecewise constant argument;
一类具有逐段常变量微分方程的渐近概周期解
Oscillatory and asymptotic behavior of solutions for third order impulsive delay differential equations;
三阶脉冲时滞微分方程解的振动性与渐近性
Oscillation criteria for first order nonlinear differential equations with deviating arguments;
一阶非线性具偏差变元的微分方程的振动准则
characteristic equation of differential equation system
微分方程组的特征方程
perturbation method in ordinary differential equation
常微分方程摄动方法
Numerical Methods for ODE
常微分方程数值方法
Legendre Wavelets Method for Differential Equations
微分方程的Legendre小波方法
differential equation with separated variables
分离变数型微分方程
nonlinear integro-differential equation
非线性积分微分方程
differential equation with separable variables
可分离变量微分方程
method of integration of partial differential equations
偏微分方程的积分法
The new exact solutions of Volterra difference-differential equation and KdV difference-differential equation
Volterra差分微分方程和KdV差分微分方程新的精确解
Differential Transformation Method for Solving Nonlinear Differential Equations
非线性微分方程的微分变换方法(英文)
ODE,SDE and PDE
常微、偏微及随机微分方程(英文)
Difference equations are derived by differential equations.
微分方程经过差分化后引出差分方程。
thomas fermi differential equation
托马斯 费米微分方程
linear differential equation with constant coefficients
常系数线性微分方程
differential equation pseudocode interpreter
微分方程伪码解释器
differential equation with deviating argument
偏差自变数微分方程
differential equation with retarded argument
推迟自变数微分方程
hydrodynamical differential equation
流体动力学微分方程