Stability prediction of thin-walled workpiece made of Al7075 in milling based on shifted Chebyshev polynomials

Yan, Zhenghu; Liu, Zhibing; Wang, Xibin; Liu, Biao; Zhi-wen, Luo; Wang, Dongqian

doi:10.1007/s00170-016-8476-9

Cited by 14 publications

(2 citation statements)

References 37 publications

(38 reference statements)

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“…Several authors [25,30,42,150] considered more than one parameter machining condition, generating 3D-SLD. Their studies mainly focus on sample parts to generalize monolithic part machining behavior.…”

Section: Computational Solutionsmentioning

confidence: 99%

Thin-Wall Machining of Light Alloys: A Review of Models and Industrial Approaches

et al. 2019

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Thin-wall parts are common in the aeronautical sector. However, their machining presents serious challenges such as vibrations and part deflections. To deal with these challenges, different approaches have been followed in recent years. This work presents the state of the art of thin-wall light-alloy machining, analyzing the problems related to each type of thin-wall parts, exposing the causes of both instability and deformation through analytical models, summarizing the computational techniques used, and presenting the solutions proposed by different authors from an industrial point of view. Finally, some further research lines are proposed.

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Section: Computational Solutionsmentioning

confidence: 99%

Thin-Wall Machining of Light Alloys: A Review of Models and Industrial Approaches

et al. 2019

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“…[34][35][36][37] A cluster treatment of characteristic roots for stability analysis of autonomous delayed systems and regenerative machining was developed by Olgac and Sipahi. [38][39][40] Chebyshev collocation method was introduced for stability analysis of milling by Butcher et al 41,42 Shifted Chebyshev polynomials were very recently applied in the prediction of stability of milling thin-walled workpiece by Yan et al 43 Ding et al 44 introduced the method of full-discretization which discretized the delayed state like the semi-discretization method and further discretized the current state. The structure of the full-discretization method (FDM) allows the reduction of computational time relative to the semi-discretization method.…”

Section: Introductionmentioning

confidence: 99%

A general order full-discretization algorithm for chatter avoidance in milling

Ozoegwu

2018

Advances in Mechanical Engineering

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Based on the full-discretization method, this work presents a generalized monodromy matrix as an exact function of the order of polynomial approximation of the milling state for chatter avoidance algorithm. In other words, the computational process is made smarter since the usual derivation of the monodromy matrices on order-by-order basis -a huge analytical involvement that rapidly gets heavier with a rise in the order of approximation -is bypassed. This is the highest possible level of generalization that seems to be the first of its kind among the time-domain methods as the known generalizations are limited to the interpolating/approximating polynomial of the milling state. It then became convenient in this work to study the stability of milling process up to the tenth order. More reliable methods of the rate of convergence analysis were suggested and utilized in consolidating the known result that the best accuracy of the fulldiscretization method lies with the third and fourth order. It is seen from numerical convergence analyses that, although accuracy most often decreases with rising order beyond the third-order methods, the trend did not persist with a continued rise in order.

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