The nonlinear vibration equation of the elastic straight bar under thermal expansion and harmonic excitation is obtained by Galerkin principle.
由伽辽金方法得到了弹性直杆热胀冷缩状态下受均布简谐激励的非线性振动方程。
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。
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.
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；
This paper also gives the differential equation of the nonlinear vibration model, and obtains its asymptotic solution by means of singular perturbation methods.
文中给出了这一非线性振动模型的微分方程，并用奇异摄动法求得了渐近解。
The nonlinear dynamic equation of free vibration to a circular plate for various boundary conditions, with the geometric nonlinear effects taken into account.
计及几何非线性，在各种板边条件下，建立圆板自由振动的非线性动力学方程。
A nonlinear vibration equation with 1 016 degrees of freedom is formulated and the degrees of freedom are reduced to 34 based on fixed interface modal synthesis method.
建立了具有1 016个自由度的非线性振动方程，并基于固定界面模态综合法降维至34个自由度。
The longitudinal vibration equation of elastic straight bar with nonlinear material under the action of axial force is set up.
建立了非线性材料弹性直杆在轴向扰力作用下的纵振方程。
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。
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。
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