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- Title
1258. A new nonlinear longitudinal vibration model of belt driving system applied in energy saving.
- Authors
Mingming Xing; Shimin Dong
- Abstract
A belt driving system (BDS) of beam pumping unit is of the following characteristics: 1) energy can flow bidirectional freely; 2) the equivalent rotational inertia is a function of the pulley angle and the stiffness is a function of time. Take account of the above characteristics, a new mathematical model of nonlinear longitudinal vibration is built for BDS. The nonlinear relationship between the equivalent rotational inertia and driven-pulley angle as well as the equivalent stiffness and slipping angle is obtained. Comparing experiment results with simulated results, good agreement is found, which shows the simulation model is feasible. The amplitude-frequency curves are given, which show the jumping phenomenon. In addition, the amplitude-frequency curves are very sensitive to the system parameters, such as Young's modulus, the preload force, the rotational inertia and load torque. In the details, with increasing Young's modulus as well as decreasing the preload force, the jumping phenomenon moves the high frequency region, and the amplitude-frequency curves of the system move their mutational direction with load torque increasing. The jumping phenomenon of equivalent stiffness suggests that the jumping phenomenon of steady-state response of the pulley is influenced by the nonlinear dynamic stiffness of the belt. Real application indicates that the system energy consumption is increasing with the preload force decreasing, and it is also increasing with the load torque increasing. Therefore, the simulation analysis of nonlinear longitudinal vibration of BDS plays an important role in understanding the effects of the system parameters on the nonlinear steady-state response and saving energy by parameter optimization in practical application.
- Subjects
NONLINEAR systems; VIBRATION (Mechanics); ENERGY consumption; ELECTRON beam pumping; ROTATIONAL motion; MATHEMATICAL models
- Publication
Journal of Vibroengineering, 2014, Vol 16, Issue 3, p1494
- ISSN
1392-8716
- Publication type
Article