NDLI: Kinematic analysis of a semi-rigid-elastic multi-body torsional vibration model of gears system

Content Provider	IEEE Xplore Digital Library
Author	Bozca, M.
Copyright Year	2011
Description	Author affiliation: Machine Design Division, Mechanical Engineering Faculty, Yildiz Technical University, Istanbul, Turkey (Bozca, M.)
Abstract	Kinematic analysis of a semi-rigid-elastic multi-body torsional vibration model of gears system is studied by using the state-space model. Equation of motion of gears system is obtained. A four-degree-of-freedom model of the pinion gear-wheel gear system is considered for simplicity. The pinion gear body and wheel gear body are assumed to be rigid. The teeth are assumed to be elastic and parallel spring-damper combinations are assumed to exist between the teeth and the gear body. Differential equations are obtained from equation of motion of gears system. Differential equations are arranged in the state-space form. Rotational positions and rotational velocities are considered as state-variables. The state-space equations of system are solved by MATLAB program. Transmission error of gears system is calculated depending on state-variables. Rotational positions, rotational velocities and transmission error are shown as graphically. It is shown in numerical study that transmission error deepens on various gear parameters and operating conditions. Moreover, it is shown in numerical study that transmission error deepens on elasticity of teeth.
Starting Page	37
Ending Page	41
File Size	219245
Page Count	5
File Format	PDF
ISBN	9781612843605
e-ISBN	9781612843612
DOI	10.1109/CarpathianCC.2011.5945811
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-05-25
Publisher Place	Czech Republic
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Vibrations Analytical models Gears Wheels State-space Differential equations Kinematic Torsional vibration Mathematical model Equations Transmission error Gear system
Content Type	Text
Resource Type	Article

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