物理学报Issue(13)：1-8,8.DOI:10.7498/aps.63.134501
一类两自由度参激系统在常数激励下的响应研究*
Constant-excitation caused resp onse in a class of parametrically excited systems with two degrees of freedom
摘要
Abstract
This paper focuses on the response in parametrically excited systems caused by constant excitation. Taking a maneuvering cracked rotor system as an example, we formulate the vibration equations with two degrees of freedom, in which the breathing of the crack constitutes parametric excitation, and the maneuver load of the maneuvering rotor is simplified as a constant excitation, and it is supposed that the rotor system is balanced without the consideration of eccentricity. By solving the equations with harmonic balance method, each order of harmonic components related with the rotating speed and the constant excitation is derived to analyze the corresponding resonance of the system. Results show that the constant excitation plays a decisive role in the parametrically excited primary and super-harmonic resonances of the system that agrees with the gravity dominance in common cracked rotor systems without maneuver load. And the stronger the constant excitation, the greater the resonances. Moreover, the orientation of the constant excitation makes a great impact on the parametrically excited primary resonance, but does not have a significant effect on the parametrically excited super-harmonic resonances. Results implies that constant excitation may increase the parametrically excited super-harmonic resonances of the cracked rotor systems, which is disadvantageous to the operating of the system. From another point of view, however, constant excitation can be used for early detection of crack faults in rotor systems.关键词
两自由度参激系统/常数激励/裂纹转子系统/机动载荷Key words
parametrically excited system with two degrees of freedom/constant excitation/cracked rotor system/maneuver load引用本文复制引用
侯磊,陈予恕,李忠刚..一类两自由度参激系统在常数激励下的响应研究*[J].物理学报,2014,(13):1-8,8.基金项目
国家自然科学基金(批准号:10632040,11302058)资助的课题.@@@@Project supported by the National Natural Science Foundation of China (Grant Nos.10632040,11302058) （批准号:10632040,11302058）
