Vibratory synchronization transmission (VST) is a kind of special physicalphenomenon in inertia vibration mechanical systems. For an inertia vibration mechanical systemdriven by one pair of motors runs in step, even t...Vibratory synchronization transmission (VST) is a kind of special physicalphenomenon in inertia vibration mechanical systems. For an inertia vibration mechanical systemdriven by one pair of motors runs in step, even the power supply of one motor is cut off, the motorcan continue to keep rotating state under the vibration exciting of the machine body driven by onlyone other motor. And its rotating frequency will be the same as that of the other one. The transientprocess of this wonderful physical phenomenon has not been described quantitatively according tocurrent-existing mechanical models. On the basis of investigation of the engineering characteristicsof VST, a mechanical and electrical coupling mathematical model of a two-shaft inertia vibrationmachine is established. With this model, the transient process of VST is recurred quantitatively andsuccessfully, and a reasonable explanation is given.展开更多
In this paper, the synchronization problem of three homodromy coupled exciters in a non-resonant vibrating system of plane motion is studied. By introducing the average method of modified small parameters, we deduced ...In this paper, the synchronization problem of three homodromy coupled exciters in a non-resonant vibrating system of plane motion is studied. By introducing the average method of modified small parameters, we deduced dimensionless coupling equation of three exciters, which converted the problem of synchronization into that of the existence and stability of zero solutions for the average differential equations of the small parameters. Based on the dimensionless coupling torques and characteristics of the cor- responding limited functions, the synchronization criterion for three exciters was derived as the absolute value of dimensionless residual torque difference between arbitrary two motors being less than the maximum of their dimensionless coupling torques. The stability criterion of its synchronous state lies in the double-condition that the inertia coupling matrix is positive definite and all its elements are positive as well. The synchronization determinants are the coefficients of synchronization ability, also called as the general dynamical symmetry coefficients. The double-equilibrium state of the vibrating system is manifested by numeric method, and the numeric and simulation results derived thereof indicate the indispensable and crucial role the structural parameters of the vibrating system play in the stability criterion of synchronous operation. Besides, by adjusting its structural parameters, the elliptical motion of the vibrating system successfully met the requirements in engineering applications.展开更多
基金This project is supported by National Natural Science Foundation of China(No.50205008).
文摘Vibratory synchronization transmission (VST) is a kind of special physicalphenomenon in inertia vibration mechanical systems. For an inertia vibration mechanical systemdriven by one pair of motors runs in step, even the power supply of one motor is cut off, the motorcan continue to keep rotating state under the vibration exciting of the machine body driven by onlyone other motor. And its rotating frequency will be the same as that of the other one. The transientprocess of this wonderful physical phenomenon has not been described quantitatively according tocurrent-existing mechanical models. On the basis of investigation of the engineering characteristicsof VST, a mechanical and electrical coupling mathematical model of a two-shaft inertia vibrationmachine is established. With this model, the transient process of VST is recurred quantitatively andsuccessfully, and a reasonable explanation is given.
基金supported by the National Key Technology R&D Program (2009BAG12A01-F01-3)the National Natural Science Foundation of China (51075063)
文摘In this paper, the synchronization problem of three homodromy coupled exciters in a non-resonant vibrating system of plane motion is studied. By introducing the average method of modified small parameters, we deduced dimensionless coupling equation of three exciters, which converted the problem of synchronization into that of the existence and stability of zero solutions for the average differential equations of the small parameters. Based on the dimensionless coupling torques and characteristics of the cor- responding limited functions, the synchronization criterion for three exciters was derived as the absolute value of dimensionless residual torque difference between arbitrary two motors being less than the maximum of their dimensionless coupling torques. The stability criterion of its synchronous state lies in the double-condition that the inertia coupling matrix is positive definite and all its elements are positive as well. The synchronization determinants are the coefficients of synchronization ability, also called as the general dynamical symmetry coefficients. The double-equilibrium state of the vibrating system is manifested by numeric method, and the numeric and simulation results derived thereof indicate the indispensable and crucial role the structural parameters of the vibrating system play in the stability criterion of synchronous operation. Besides, by adjusting its structural parameters, the elliptical motion of the vibrating system successfully met the requirements in engineering applications.
