Research On Dynamic Optimization Design Of Vibrating Centrifuge Equipment

This article is closely linked to the actual utility and industrial developmentneeds of the fine coal dewatering equipment in coal preparation industry. Take thedouble mass vibrating resonance centrifuge as the research object and aimed toimprove its work efficiency but reduce energy consumption. Combining with a set ofnonlinear dynamics modeling, modal testing, finite element simulation and dynamicoptimization, the author proposed the centrifuge dynamic optimization methodologywhich is suitable for China’s national conditions, and take some specific models forapplications. Results show this method is effective and can be promote to guidesimilar product dynamic optimization design.This paper argues that due to the nonlinear stiffness and damping characteristicsof the rubber spring plate, the linear dynamic model does not accurately reflect thekinetics of centrifuge vibration system. So，based on the nonlinear dynamics ofdiscrete dynamical systems theory, considering the nonlinear stiffness and dampingcharacteristics of the rubber spring board, the author built the centrifuge vibrationsystem’s2degrees of freedom dynamic model and solved this differential equationsusing averaging method. The first order approximate solution and frequency responsecurves improve the calculation accuracy, at the same time，provide theoretical supportfor the optimal allocation of motor parameters in the actual work and the wholedynamical optimization design.The rubber spring board is an important connecting part between the inside andoutside mass body. Its dynamic stiffness and damping characteristics directly impacton the natural frequency and amplitude of the response vibration system. We usedstatic and dynamic stiffness and damping test to identify the dynamic parameters, andpreferably selected the five parameter Mooney-Rivlin model as its constitutiverelation. The natural frequencies, vibration mode and damping ratio parameters of thecentrifuge were obtained through modal test and dynamic response test, whichsupported the finite element simulation and theoretical calculation.Since the existence of hysteretic damping in the elastic components structure, thelinear modal superposition principle is no longer applicable. Based on complex modaltest results, the author presented a correction damping matrix algebraic method, which can improve the FEA accuracy. It is proved that the optimal correction matrix existsin the sense of Frobenius norm. Simulation results show that the relative error issmaller than the Rayleigh damping’s, when considering the nonlinear dampingconditions.According to complex constraints and many design variables in vibratingcentrifuge equipment dynamic optimizing design, a hybrid algorithm of GA and trustregion method was proposed in this paper, simultaneously given the rigorousmathematical proof and the algorithm processes. Based on dynamic structuralmodification method, putting the hybrid algorithm into the WZY1400vibratingcentrifuge dynamic optimization design, can save the total machine weight, improvethe vibration system work efficiency, suppress the harmful vibration and prolong thecentrifuge working life.