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非线性振动

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This paper explores the application of the modern digitized technology to the teaching of the Electromagnetism. By the numerical calculation and digital simulation, the electromagnetic field of an uniformly charged ring, the non-linear vibration of charged particle in an uniformly charged ring and the uniform area of Helmholtz coils are discussed.

本文探讨现代数字技术在电磁学教学中的应用,通过数值计算和数字模拟,深入讨论了环形源电磁场的空间分布、带电粒子在带电圆环电场中的非线性振动以及亥姆霍兹线圈内的均匀磁场问题。

The calculation result shows that the solution method has the character of high convergence precision and high stability, and the method is suit for computing big non-linear libration system model including discrete variable.

计算结果表明该方法具有较高的收敛精度、稳定性,并适合求解包含离散变量的大型非线性振动系统模型。

The difference of Runge-Kutta method, the method of multiple scales, the first method of interpolate perturbation, the.

分析了龙格库塔法、多尺度法、插值摄动第一法、插值摄动第二法等4种方法在计算一类非线性振动问题时的差异,给出了每一种方法对应的时程图和相位图,编写了每种方法的Matlab程序。

In the last 20 years, many mathematicians used Moser Twist Theorem to study more complicated dynamics for nonlinear oscillations, such as the existence of quasi-periodic solutions and invariant tori, the Lagrange stability, etc.

近20年来,国内和国际上的一些数学家开始利用Moser的扭转定理来研究非线性振动的更为复杂的行为,如拟周期解和不变环面的存在性,解的Lagrange稳定性。

The influence of material on the dynamic behavior of non linear vibrating system is studied.

研究了材料对非线性振动系统动力行为的影响。

The approximate solutions have advantages of simplicity,practicality,and higher accuracy,which is of practical value in calculating nonlinear oscillations .

利用线化和校正法所求得的近似解与数值解比较,具有简单实用、精度高、相对误差低等优点,在求解非线性振动中具有一定的实用价值。

The research result shows that the sliding friction makes nonlinear oscillations about an average value when the depth of the particulate pile with 2 mm particulate diameter is greater than 0.5 to 2 times the diameter of the container.

研究发现,厚度为容器直径的0·5到2倍之间,粒径为2mm的颗粒堆,对探测棒的滑动摩擦力在一个平均水平上随时间作非线性振动

Here are three core contents of such framework:(1) cognitive process is reflected by the temporal, frequency, and spatial evolutions of EEG signals;(2) cognitive process is reflected by different nonlinear oscillations and transients of EEG signals;(3) cognitive process is reflected by the linear/nonlinear coupling and synchronization of EEG signals at different brain regions.

本文的一个理论创新在于首次提出认知动力学系统这一新概念,使得对认知功能的研究建立在一个理论框架下,其核心内容包括三方面:(1)认知过程通过EEG脑电活动在时间,频率,空间上的动态演化体现出来;(2)认知过程通过EEG脑电活动的非线性振动与各种刺激诱发的暂态体现出来;(3)认知过程通过EEG脑电活动在各脑区的相互耦合与同步谐振体现出来。

Owing to development and application of modern mathematic theory,thegroup theory plays an important role in nonlinear vibration theory.

由于近代数学理论的发展与应用,群论在非线性振动理论中起着非常重要的作用。

The question about parametric identification of nonlinear vibration system based on time-frequency analysis was studied.

对基于时-频相结合的非线性振动系统的参数识别问题进行了研究。

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