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Synchronization of two coupled exciters in a vibrating system of spatial motion

ISSN号：0567-7718
期刊名称：《力学学报：英文版》
时间：0
分类：O32[理学—一般力学与力学基础;理学—力学] O343.3[理学—固体力学;理学—力学]
作者机构：[1]School of Mechanical Engineering and Automation, Northeastern University, 110004 Shenyang, China, [2]Faculty of Engineering, University of Wollongong, Wollongong, NSW 2522, Australia
相关基金：The project was supported by Liaoning Province College Science and Research （2008S095）, the Key Project of the National Natural Science Foundation of China （50535010, 50805020） and High-tech Research and Development Program of China （2007AA04Z442）.

作者： Chunyu Zhao, Hongtao Zhu, Yimin Zhang, Bangchun Wen

关键词：振动系统, 耦合方程, 同步运行, 空间运动, 励磁, 稳定性条件, 地球资源卫星, 动力特性分析, Frequency capture - StabilitySynchronization , Vibrating system -Vibratory synchronization transmission

中文摘要：

纸建议调查二的同步的一条分析途径在空间运动的一个颤动的系统联合了 exciters。为二 exciters 的平均尖速度介绍骚乱参数，我们推出二 exciters，联合矩阵的惯性在是对称的尖速度的非维的联合方程并且联合矩阵的僵硬在一个非反响的颤动系统是反对称的。阶段角度的联合余弦效果将引起对二台马达起作用限制二 exciters 之间的阶段差别的增加以及在跑期间支撑它二 exciters 的对称的转矩的动态典型表演处理的联合的分析。它身体上解释二 exciters 的自我同步的怪癖。颤动的阶段角度的余弦效果由每 exciter 愿望减少使它惯性的时刻激动。每 exciter 的惯性的剩余时刻代表它惯性的相对时刻。 exciters 是二 exciters 的惯性的相对非维的时刻都比乘他们的产品的零和四伟大的二的同步的稳定性条件比他们阶段角度的联合余弦效果的系数的平方大，它等价于联合矩阵的惯性是积极的明确并且所有它的元素是积极的。数字结果证明颤动的系统的结构能保证同步操作的稳定性条件。关键词频率俘获-稳定性-同步-颤动的系统-振动同步传播工程被辽宁省学院科学和研究( 2008S095 )支持，中国的国家自然科学基础的关键工程( 50535010 ， 50805020 )并且中国( 2007AA04Z442 )的高技术研究和开发节目。

英文摘要：

The paper proposes an analytical approach to investigate the synchronization of the two coupled exciters in a vibrating system of spatial motion. Introducing the distur- bance parameters for average angular velocity of two excit- ers, we deduce the non-dimensional coupling equations of angular velocities of two exciters, in which the inertia cou- pling matrix is symmetric and the stiffness coupling matrix is antisymmetric in a non-resonant vibrating system. The analysis of the coupling dynamic characteristic shows that the coupled cosine effect of the phase angles will cause the torque acting on two motors to limit the increase of phase difference between two exciters as well as sustain its sym- metry of two exciters during the running process. It physi- cally explains the peculiarity of self-synchronization of two exciters. The cosine effect of phase angles of the vibrations excited by each exciter will decrease its moment of inertia. The residual moment of inertia of each exciter represents its relative moment of inertia. The stability condition of synchro- nization of two exciters is that the relative non-dimensional moments of inertia of two exciters are all greater than zero and four times their product is greater than the square of their coefficient of coupled cosine effect of phase angles, which is equivalent to that the inertia coupling matrix is positive definite and all its elements are positive. The numeric results show that the structure of the vibrating system can ensure the stability condition of synchronous operation.

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