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《Journal of Vibration and Shock》 2007-08
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SIMPLIFICATION OF GOVERNING EQUATION OF A TRIFILAR PENDULUM AND ITS RESONANCE PROBLEM

LIU Dan HOU Zhi-chao(State Key Laboratory of Automotive Safety and Energy, Tsinghua University, Beijing 100084, China)  
For a trifilar pendulum, which is widely used to identify the inertial parameters of odd-shaped rigid bodies or structural assemblies, applicability of the governing equation and the conditions to avoid resonance are addressed. The governing equation is systematically discussed, focusing on equation simplification and the condition to ignore translational vibration. A set of clear conditions are thus obtained, which are in terms of design parameters of the trifilar pendulum, and the inertial and geometric parameters of the body under test. Under that condition, the governing equation can be linearized to a form that is now widely used for inertial parameter identification. With explicit formulae about frequencies of torsional and transversal vibration, which are typical vibration modes of any trifilar pendulum, a condition is also presented under which the two forms of vibration will be coupled. This coupling will destroy experiments due to resonance. A practical example is given to demonstrate the requirements for design parameters of the trifilar pendulum and the inertial and geometric properties of the body under test, so as to avoid resonance. Guidance for designing and applying a trifilar pendulum is listed.
【CateGory Index】: TB123
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【Citations】
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHAO Xue-hui~1,HOU Wen~1,CHEN Hong~1,CHEN Min'e~2(1 Key Laboratory of Instrumentation Science & Dynamic Measurement,Ministry of Education,North University of China,Taiyuan 030051,China;2 Jiujiang Vocational and Technical College,Jiangxi Jiujiang 330027,China);Measuring Moment of Inertia Based on the Complete Description of Three-line Pendulum Movement[J];Journal of Projectiles, Rockets, Missiles and Guidance;2006-04
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