Machining accuracy reliability analysis of multi-axis machine tool based on Monte Carlo simulation

Cheng, Qiang; Zhao, Hongwei; Zhao, Yongsheng; Sun, Bingwei; Gu, Peihua

doi:10.1007/s10845-015-1101-1

Cited by 62 publications

(34 citation statements)

References 65 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The probability density function of the normal distribution has two parameters, µ and σ. The accumulative distribution function meets the relation shown in Equation (11) if the function is converted to standard normal distribution.…”

Section: Normal Distributionmentioning

confidence: 99%

See 1 more Smart Citation

Reliability Modeling and Evaluation Method of CNC Grinding Machine Tool

2018

View full text Add to dashboard Cite

Featured Application: The proposed research aims to provide one accurate and reliable evaluation method for the subsystem and system of electromechanical equipment.Abstract: How to determine subsystem's reliability and evaluate the whole machine's reliability of the CNC (computer numerical control) grinding machine tool is important for reliability design and promotion. Each subsystem was modeled by a different distribution based on collected data and the models were optimized by the modified gray correlation degree, which was called the similar slope and close median gray correlation method. Methods of generating random data were proposed for different models. The reliability evaluation algorithm based on Monte Carlo simulation was studied and the whole machine's reliability of the CNC grinder was evaluated by the algorithm. The evaluation result by the Monte Carlo algorithm was compared using the observed value and the evaluation value by the whole fitting method. The results show that the point estimation value evaluated by the algorithm based on Monte Carlo has high accuracy. The interval estimation by the Monte Carlo method was 20.2% and 38.1% by the observed value and the whole fitting value, respectively, which has more practical engineering significance. The reliability evaluation method can be used to assess the whole CNC grinding machine's reliability in reliability design, and is also one reference for reliability evaluation of other electromechanical equipment.

show abstract

Section: Normal Distributionmentioning

confidence: 99%

“…Sung proposed the lifetime estimation method by accelerated degradation test [10]. Cheng et al used Monte Carlo simulation to analyze the machine tool's machining accuracy reliability [11]. Wei et al proposed one reliability assessment method for mechanical equipment using the performance-feature model [12].…”

Section: Introductionmentioning

confidence: 99%

Reliability Modeling and Evaluation Method of CNC Grinding Machine Tool

2018

View full text Add to dashboard Cite

show abstract

“…Li and Dai 29 studied geometric error modeling of precision machine tool and presented an error summary of five-axis machine tools. Cheng et al 30 established the relationship between model of stochastic geometric errors and machining accuracy reliability to identify the key geometric errors. Based on reference to Li and Cheng's work, we summarize all the possible geometric errors of six axes in Table 1.…”

Section: Location Error During Manufacturing Andmentioning

confidence: 99%

An improved geometric error analysis method considering the variety of sensitivities over working space

Liu

Wang

Qiu

et al. 2018

Advances in Mechanical Engineering

View full text Add to dashboard Cite

Machine tool accuracy analysis has become increasingly important since accuracy as the major parameter of a machine is to a large extent determined by geometric accuracy design. In order to improve the comprehensiveness and veracity of geometric accuracy design, this article proposes an improved geometric error analysis method considering the variety of sensitivities over working space. A multi-rigid-body model which includes cutting tool's wear-out error and workpiece's clamping error is established to represent the position relationship of machine tool's working components. The expression of geometric error is converted from matrix form to screw form through the screw mapping theory, so that rotational error can be expressed and calculated directly like the translational error. Considering motion errors along axes over the whole working space instead of at a fixed position, an improved sensitivity analysis algorithm is conducted to identify, among 38 components of errors increased the variety with tool wear and clamping errors, which of them have a significant impact on four different types of machine errors. Finally, the proposed method was implemented and validated on a horizontal boring machine, and the sensitivity analysis results over working space would offer vital evidence for the machine's geometric accuracy design. KeywordsGeometric error analysis, sensitivity over working space, clamping error of workpiece, tool wear-out error, screw theory Date

show abstract

“…Then, these dates were used to fit out multi-extremum response surface mathematical model, and to calculation reliability with the Monte Carlo method and sampling linkage technology [8]. Finally, Monte Carlo method [9], [10] was used to verify the accuracy and effectiveness of this method.…”

Section: Introductionmentioning

confidence: 99%

Reliability Analysis for the Gear of Power Assisting Cycle with Multi-Extremum Response Surface Method

Zhang

Wang

Sun

et al. 2017

IOP Conf. Ser.: Mater. Sci. Eng.

View full text Add to dashboard Cite

Abstract. To more accurately calculate the dynamic reliability for the center gear of power assisting cycle with various failure modes, the multi-extremum response surface method is adopted. The first, the gear's torque, material density, elastic modulus and poisson's ratio are sampled in small batches as the random input samples, the dynamic extremum of deformation, stress and strain are obtained as output response by finite element model. Then, the multiextremum response surface equation is established. Finally, multitudinous sample points are obtained by using Monte Carlo method and linkage sampling to multi-extremum response surface equation, which can used to calculate the reliability of the deformation, stress and strain of the gear in the comprehensive failure mode. The results show that the comprehensive reliability degree of gear is 0.9949 when the allowable deformation, stress and strain are 0.47 mm, 540 Mpa and 0.003 , respectively. IntroductionThe gears support complex loads during the operation of the power assisting cycle operation. Once the gears fail, the energy stored in the spring can't be released and the whole system does not run. So, the structural reliability analysis of gear is very necessary. In recent years, a structural analysis method considering the tooth contact of internal gear system is introduced through the comparison with the simplified gear system model and applied to the structural analysis of a 2-stage differential-type gearbox for wind turbine by Cho et al [1]. The key meshing states of the gear pair for the contact fatigue and the bending fatigue was investigated based on the cumulative fatigue criterion and the stress-life equation by Deng et al [2]. Although the problem of gear contact was studied in different degrees, they were based on deterministic analysis method, and it is not discussed further from the angle of probability. Currently, scientists have presented a lot of research on the gear reliability analysis method, response surface method is the most widely used [3][4][5][6]. The reliability analysis method based on response surface and the Markov chain Monte Carlo (MCMC) were proposed to improve the precision of the response function, and the dependability sensitivity analysis was conducted to quantify the effects of assembly errors, machining errors and stochastic external loads on gear transmission reliability by Tong et al [7], then the reliability was calculated using the founded mathematical model by Monte Carlo method (MCM). However, these methods only consider the reliability of single failure mode analysis without considering the failure correlation of dynamic reliability problems. In order to solve the problem of multiple failure mode correlation, the multi-extremum response surface method was introduced in the reliability analysis of gear. The gear's torque, material density,

show abstract

Machining accuracy reliability analysis of multi-axis machine tool based on Monte Carlo simulation

Cited by 62 publications

References 65 publications

Reliability Modeling and Evaluation Method of CNC Grinding Machine Tool

Reliability Modeling and Evaluation Method of CNC Grinding Machine Tool

An improved geometric error analysis method considering the variety of sensitivities over working space

Reliability Analysis for the Gear of Power Assisting Cycle with Multi-Extremum Response Surface Method

Contact Info

Product

Resources

About