The 1/3 subharmonic solution and stability are obtained by the method of multiple scales and the Calerkin Principle.
应用摄动法求解出中心点附近的周期解,再应用多尺度法进一步讨论夹层圆板1/3次亚谐波共振的解的稳定性问题。
参考来源 - 具有初挠度夹层圆板的非线性主共振和1/3亚谐共振Using the method of multiple scales, four-dimensional averaged equations of the system are derived under the case of principal parametric resonance, 1:3 internal resonance.
用多尺度方法对1:3内共振情形的复合材料层合悬臂板二自由度动力学方程进行摄动分析,获得了四维直角坐标形式平均方程。
参考来源 - 复合材料悬臂板的非线性动力学研究The stator system vibration differential equation is established. Through using the method of multiple scales, the nonlinear dynamic characteristics of the forced resonances of the stator system double-shell model excited by electromagnetic forces are analyzed.
四建立系统振动的微分方程，并利用多尺度法分析了水轮发电机组定子系统双壳模型由电磁激发的强迫共振的非线性动力学特性。
参考来源 - 水轮发电机定子系统的振动研究·2,447,543篇论文数据，部分数据来源于NoteExpress
The bifurcation equation of the primary resonant of the system is acquired by the method of multiple scales.
应用多尺度法求得了系统主共振的分岔方程和不同参数下的主共振响应曲线。
In this paper, problems of bending of a thin plate under the action of in-plane forces are studied by using the method of multiple scales.
本文利用多重尺度法研究了薄板在中面力的作用下的弯曲问题。
By using the method of multiple scales and the comparison theorem, the asymptotic behavior of solution for the initial boundary value problem is studied.
利用多重尺度法和比较定理，研究了初始边值问题解的渐近性态。
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