Optimization of Factors Affecting Vibration Characteristics of Unbalance Response for Machine Motorized Spindle Using Response Surface Method

Abstract

In this study, the response surface (RS) method and forced rotordynamic analyses together with Finite-Element-Analysis (FEA) have been established to optimize the factors affecting the vibration characteristics. The spindle specification, bearings locations, cutting force, and motor-rotor unbalance mass are proposed to represent the design factors and then they are utilized to develop Machine Motorized Spindle (MMS). The FEA-based Design of Experiment (DOE) is adopted to simulate the output responses with the input factors, wherein these DOE design points are used to carry out the RS models to visualize more obvious factors affecting the dynamic characteristics of MMS. The sensitivities of these factors and their contributions to the vibration of imbalance response have been evaluated by using the RS models. The simulation results show that the motor-rotor shaft inner diameter, the distance of the back bearing location, and the rotating unbalance-mass are highly sensitive to the vibration characteristics compared to the other factors. It is found that more than two-fifths of total vibration response amplitude has been conducted by induced rotating imbalance mass. The results also showed that the proposed factors optimization method is practicable and effective in improving the vibration response characteristics.

Simulation study on unbalance vibration characteristics of dual-rotor system

“…The research contents and direction of this article different from the previous scholars' studies only on quite few unbalanced conditions [23,24,[35][36][37][38][39][40][41][42][43] is new and relatively lacking, and there are very few researches applying DOE in rotor-dynamics unbalance vibration field in which these two studies are representative, (1) Mahadeshwar applied response surface method to sample unbalanced weight, radius, speed and position of the rotor disc on the unbalance in a lathe motorized spindle with one-disc and two-support in order to explore the effect for the vibration responses experimentally [44], (2) Ahmed did DOE for the factors (including unbalance mass) affecting the vibration characteristics and used the response surface method and forced rotordynamic analyses together with Finite-Element-Analysis to evaluate the sensitivities of these factors and their contributions to the imbalance vibration [45]. Hence, the current work is an important and necessary effort in the printed literatures to illustrate and analyze the use of DOE upon the unbalance vibration of a dual-rotor system.…”

Linear forced-rotordynamics analysis for optimizing the performance factors of machine motorized spindle using design explorer method

“…Finally, the efficiency of RS analysis is tested by comparing the FEM results from the present work with the experimental results, which carried out by Huang P., et al [3]. In present work, the Cartridge Spindle for CN lathe, L series standard JIS A2-6 that developed in literature [4] is considered to establish the FEM model.…”

“…The Eq. (1) numerically can be computed by any of a massive amount of existing linear-equation solvers [4]. In this study, direct integration method was used to find out the steady-state Frequency-Response-Function (FRF) through using ANSYS software.…”

“…Because of complex structures of MMS, the evaluation of dynamic-characteristics produced by rotating unbalance force is much difficult [2]. The vibration response caused by rotating-unbalance force induced on the spindle-system was widely investigated by considerable researches [3,4]. Zhou et al [5], conducted a study on motor-rotor unbalance effects for identifying damping and stiffness coefficients of closed-loop active-magnetic-bearing.…”

Identification of eccentricity of a motorized spindle-tool system with random parameters

“…The eccentricity identification problem without a prior information and the given input and output parameters with random factors can be dealt with using the maximum likelihood method to transform the recognition problem into an iterative problem. The iterative technique, aiming at estimating inputs via a process of constantly updating old values with the new values of input variables, has received increasing attention due to its efficiency and accuracy (Yang et al, 2014;Xia, 2019;Feng et al, 2018). Zhang (2013) obtain the explicit increment by utilizing the sensitivity matrix method (SMM); the explicit method avoids complicated mathematical processing, but the iterative efficiency is low.…”