Chaos phenomenon restraining method of single-stage straight gear drive system

A transmission system, chaos suppression technology, applied to transmission parts, belts/chains/gears, mechanical equipment, etc., can solve problems that are rarely reported

Inactive Publication Date: 2013-06-19
王少夫
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

In the single-stage spur gear transmission system, a lot of beneficial experimental data and laws have been obtained, and different measures to suppress chaos have been proposed, but there are few reports on the self-adaptive method of suppressing chaos in the single-stage spur gear transmission system

Method used

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  • Chaos phenomenon restraining method of single-stage straight gear drive system
  • Chaos phenomenon restraining method of single-stage straight gear drive system
  • Chaos phenomenon restraining method of single-stage straight gear drive system

Examples

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Embodiment

[0035] For a pair of single-stage spur gear transmission system, only the torsional vibration of the gear is considered, and the lumped mass method is used to establish the torsional vibration analysis model of the gear pair as follows: figure 1 shown. in, The quality of the main and driven gears, Base circle radius of master and slave gears; and The moments of inertia of the main and driven gears; and Radius of the base circle of the main and driven gears; is the time-varying meshing stiffness of the gear pair; and Torsional vibration displacement of main and driven gears; and is the torque acting on the main and driven gears; The force on the main and driven gears, is the damping coefficient of gear tooth meshing, are the damping coefficients of the master and slave bearings, is the displacement coefficient, is the displacement of the centers of the two gears, is the comprehensive error of gear meshing. The dynamic equation of the single-stag...

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PUM

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Abstract

The invention provides a chaos phenomenon restraining method of a single-stage straight gear drive system. The method comprises: at first, building a single-stage straight gear drive system model for factors of backlash in circular teeth, time varying meshing stiffness and comprehensive meshing error and the like, giving conditions for producing the chaos phenomenon, and using an easiest adaptive controller to fast restrain the chaos phenomenon of the single-stage straight gear drive system, and at last proving correctness of the conclusion.

Description

technical field [0001] The invention relates to the simplest method for suppressing the chaotic phenomenon of a single-stage spur gear transmission system, which belongs to the field of mechanical engineering. Background technique [0002] Chaos is a unique form of nonlinear dynamic system. Due to nonlinear factors such as tooth backlash, mesh damping, and time-varying stiffness in the gear system, the system produces strong nonlinear vibration. In a certain parameter area, the system behaves as chaotic harmonic vibration, and the harmonic vibration is harmful to the working performance and reliability of the transmission system. Therefore, effective and feasible control is needed for the chaotic vibration in the gear transmission system; people have proposed many measures to suppress chaos from different angles, and obtained many research results. In the single-stage spur gear transmission system, a lot of beneficial experimental data and rules have been obtained, and diff...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): F16H57/028
Inventor 不公告发明人
Owner 王少夫
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