Optimization Design of a Vibrating System with Two Motors

2009 ◽  
Vol 628-629 ◽  
pp. 67-72
Author(s):  
D.G. Wang ◽  
K. Guo ◽  
Chun Yu Zhao ◽  
Bang Chun Wen

The dynamic model of vibrating system with two motors is established. Through dynamic analysis, the equations of frequency capture of the vibrating system and the conditions of implementing stable self-synchronous operation are obtained. Then the vibrating system is optimization designed based on the conditions of implementing stable self-synchronous operation. The simulation program with proper parameters of vibrating system is run, and the results show that the system is in a good synchronous state. Computer simulations demonstrate that the vibrating system realizes speed synchronization and phase synchronization. The results verify the effectiveness of the optimization design.

2009 ◽  
Vol 16 (5) ◽  
pp. 505-515 ◽  
Author(s):  
Chunyu Zhao ◽  
Hongtao Zhu ◽  
Ruizi Wang ◽  
Bangchun Wen

In this paper an analytical approach is proposed to study the feature of frequency capture of two non-identical coupled exciters in a non-resonant vibrating system. The electromagnetic torque of an induction motor in the quasi-steady-state operation is derived. With the introduction of two perturbation small parameters to average angular velocity of two exciters and their phase difference, we deduce the Equation of Frequency Capture by averaging two motion equations of two exciters over their average period. It converts the synchronization problem of two exciters into that of existence and stability of zero solution for the Equation of Frequency Capture. The conditions of implementing frequency capture and that of stabilizing synchronous operation of two motors have been derived. The concept of torque of frequency capture is proposed to physically explain the peculiarity of self-synchronization of the two exciters. An interesting conclusion is reached that the moments of inertia of the two exciters in the Equation of Frequency Capture reduce and there is a coupling moment of inertia between the two exciters. The reduction of moments of inertia and the coupling moment of inertia have an effect on the stability of synchronous operation.


2011 ◽  
Vol 697-698 ◽  
pp. 320-325
Author(s):  
C. Xu ◽  
Z.J. Wu ◽  
J.F. Zhang ◽  
P.F. Feng ◽  
D.W. Yu

This paper provides the methodology on analyzing the dynamic characteristic of machine tool in consideration of joint parameters. To ensure the dynamic model is available for further study, modal experiment for vertical machining center is involved. The machine tool is divided into several parts and connected with spring and damping for substructure modeling. Particularly, the bolt-fixed joint is an example for the joints modeling. Based on the dynamic model, simulation of modal analysis and harmonic response are carried out. Besides, method of optimization design of column and milling box is given to improve the performance, which is proved to be feasible in harmonic response.


2009 ◽  
Vol 16 (5) ◽  
pp. 517-528 ◽  
Author(s):  
Chunyu Zhao ◽  
Hongtao Zhu ◽  
Tianju Bai ◽  
Bangchun Wen

The paper focuses on the quantitative analysis of the coupling dynamic characteristics of two non-identical exciters in a non-resonant vibrating system. The load torque of each motor consists of three items, including the torque of sine effect of phase angles, that of coupling sine effect and that of coupling cosine effect. The torque of frequency capture results from the torque of coupling cosine effect, which is equal to the product of the coupling kinetic energy, the coefficient of coupling cosine effect, and the sine of phase difference of two exciters. The motions of the system excited by two exciters in the same direction make phase difference close to π and that in opposite directions makes phase difference close to 0. Numerical results show that synchronous operation is stable when the dimensionless relative moments of inertia of two exciters are greater than zero and four times of their product is greater than the square of their coefficient of coupling cosine effect. The stability of the synchronous operation is only dependent on the structural parameters of the system, such as the mass ratios of two exciters to the vibrating system, and the ratio of the distance between an exciter and the centroid of the system to the equivalent radius of the system about its centroid.


2009 ◽  
Vol 69-70 ◽  
pp. 649-654
Author(s):  
Yi Sun ◽  
G.K. Shi ◽  
J.H. Shan ◽  
Ming Feng Dong

This document researches on the improved deployable planar truss mechanism design and builds an dynamic equation of the model based on Lagrange equation in the multi-body system dynamic theory. The dynamic model is established to simulate the motion of the system and calculate the force condition of members respectively by ADAMS. Finally, the significant references for the elasto-dynamic analysis and optimization design of the truss mechanism will be provided.


2019 ◽  
Vol 11 (3) ◽  
pp. 168781401983411 ◽  
Author(s):  
Yongjun Hou ◽  
Mingjun Du ◽  
Luyou Wang

To avoid anti-phase synchronization for two co-rotating rotors system that occurs so that exciting force generated by the vibrating system is very small, a mechanical model of two co-rotating rotors installed with nonlinear springs is proposed to implement synchronization in a non-resonance system. The dynamic equations of the system are first built up by using Lagrange's equation. Second, an analytical approach, the average method of modified small parameters, is employed to study the synchronization characteristics of the vibrating system, the non-dimensional coupling equations of two motors are deduced, synchronization problem is converted to that of existence and stability of zero solution for the non-dimensional coupling equations of angular velocity. It is indicated that the synchronous torque of two motors coupled with nonlinear springs in synchronous state must be greater than or equal to the difference of their residual torque. Then, in light of the Routh–Hurwitz criterion, the synchronous criterion of the vibrating system is obtained. Obviously, it is demonstrated that the synchronous state and the stability criterion of the system are influenced by the structural parameters of the coupling unit, coupling coefficients and the positional parameters of two rotors, and so on. Especially, there are clearances in between two nonlinear serial springs, which result in synchronization of the vibrating system that lies in an uncertain state. At last, computer simulations in agreement with the numerical results verify the correctness of the theoretical results for solving the steady phase difference between two rotors. It is demonstrated that adjusting the value of the coupling spring stiffness can make phase difference close to zero to meet the requirements of the strongly exciting force in engineering.


2013 ◽  
Vol 341-342 ◽  
pp. 438-442
Author(s):  
Zhou Zheng ◽  
Bi Zhong Xia ◽  
Yi Ran Liu ◽  
Zhong Dong Ouyang

Turnover mechanism is one of the important parts of the element bar conveying subsystem in the aluminum electrolytic capacitor assembling machine (AECAM). This paper analyzed the structure and motion characteristics of the turnover mechanism, and used the ADAMS software to do its parametric modeling, dynamic analysis and optimization design. Finally the paper concluded that Final result of turnover mechanism optimization was that the maximum of resultant force in the cam rotary center decreased by 49.3%.Application of ADAMS software will provide a new way for design and improvement of the assembling machine in future.


Author(s):  
Nguyen Van Hung

This paper focuses on establishing the dynamic model describing the motion of bolt-carrier for the amphibious rifles when shooting under-water. This dynamic model is applied for the 5.56 mm amphibious rifle designed by the research project of the ministry of defense. The model in this paper can be applied to study the influence of the structural parameters in rifles on the operation of the automatic system during shooting under-water and contributing to the adjustment, optimization designs.


Author(s):  
R. A. Hart ◽  
N. D. Ebrahimi

Abstract In Part 1 of this report, we described the overall objective of the investigation; that is, the formulation of a dynamic model for determining the time response of a multi-legged robotic vehicle traveling on a variable-topographic terrain. Specifically, we developed expressions for the joint variables, and their rates, which are essential for describing the system’s links orientations, velocities, and accelerations. This procedure enabled us to determine the kinematic quantities associated with the entire vehicular system in accordance with the Newton-Euler method. In the present paper, we formulate the kinetic equations for the multi-degree-of-freedom leg assemblies, the rigid wheels, and the platform of the vehicle to achieve the prescribed motion and corresponding configuration of the system.


Author(s):  
Inge Hinterwaldner

Within real-time simulations, the calculated simulation dynamic is only one movement-generating instance. There exist further and other movement-generating elements of a sensorial nature. Typically, the simulation program encompasses many diverse processes – internal and external ones – taking place simultaneously. Several artificial life applications are analysed with respect to the multi-layered dynamics and with a special focus on how the sensorial levels contribute motions not present in the simulation dynamics itself. Computer simulations also have the potential for deception (some applications aim at exploiting the suspense of disbelief), but surprisingly it is located in their domain, in the process and reaction or consequence design. The optical level follows other logics. Being aware of this fact with all its consequences is crucial for a critical and responsible attitude towards computer simulations.


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