By means of the method of the multiple scales the first approximate solution of the primary resonance of the system is acquired, and numerical calculation is carried out.
应用多尺度法求得了系统主共振情况的一次近似解，并进行了数值计算。
By the virtue of method of multiple scales, we have derived the amplitude equation.
我们用多重尺度方法，推导出了它的振幅方程。
The compressible linear stability theory and the method of multiple scales are used to study the problem of three dimensional nonparallel flow stability for boundary layers.
采用线性稳定性理论和多重尺度方法，研究三维可压缩的非平行流边界层稳定性问题。
The reductive perturbation method of multiple-scales is used to investigate the weak nonlinear modulation of the stress wave on the wall of a fluid-filled elastic circular tube.
本文应用多重尺度约化微扰方法研究了充满流体的圆形弹性管壁上应力波的弱非线性调制问题。
In this paper we apply the modified method of multiple scales to study the post-buckling behaviors of annular and circular plates.
本文应用改进的多重尺度法，研究环形和圆形薄板屈曲后的性态。
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。
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。
The motion equation of nonlinear rotor-bearing system is established and the frequency responding equation is obtained by multiple-scales method.
建立非线性转子系统运动方程，利用多尺度法求得频率响应方程。
The reason is analysed by use of Floquet theory and multiple scales method in the paper.
本文用福洛开理论和多尺度方法，分别研究了其稳定域范围和引起倍频振动的各种因素。
The method of multiple scales was used to solve directly the nonlinear differential equations and to derive the nonlinear modulation equation for the principal parametric resonance.
以轴向基础窄带随机激励悬臂梁非线性动力学方程组为分析对象，采用多尺度法，获得了系统主参激共振的非线性调谐方程组。
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。
A bifurcation equation of the steady state main resonance was obtained based on the multiple scales method.
在此基础上，用多尺度法求得稳态下主共振的分岔方程。
A bifurcation equation of the steady state main resonance was obtained based on the multiple scales method.
在此基础上，用多尺度法求得稳态下主共振的分岔方程。
应用推荐