Application of Sherman–Morrison–Woodbury formulas in instantaneous dynamic of peripheral milling for thin-walled component

Song, Qinghua; Liu, Zhanqiang; Wan, Yi; Ju, Ganggang; Shi, Junbo

doi:10.1016/j.ijmecsci.2015.03.021

Cited by 65 publications

(18 citation statements)

References 30 publications

(61 reference statements)

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“…For this reason, one of the most recent approaches is to develop more efficient ways to solve the stability differential equations. Song et al [50] used the Sherman–Morrison–Woodbury formula to calculate FRF considering the mass loss, whereas Li et al [64] used a Runge–Kutta method for the same purpose. Feng et al [18] used Taylor series to linearize the dynamic equations and Olvera et al [39] solved the model using enhanced multistage homotopy perturbation (EMHP) and Chebyshev method in order to improve the accuracy.…”

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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“…Thus, the thin-walled component milling, such as turbine blades and multi-frame monolithic components, is still a challenging problem due to the weak rigidity, time-varying modal parameter, and complex excitations (cutting forces). 41 Some articles have conducted the optimization of cutting parameters (optimal feed direction, 31 optimal cutter posture, 32 and tool path optimization 33,34 ) for multi-axis milling process. And such generalized cutting force model knowledge presented in the article will help better understand and model multi-axis milling process, improving their machining stability and machining surface accuracy.…”

Section: Validations and Applicationmentioning

confidence: 99%

A generalized cutting force model for five-axis milling processes

Song

Liu

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part B:

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A generalized mechanical model is proposed to predict cutting forces for five-axis milling process of sculptured surfaces with generalized milling cutter, which is considered as a revolution around tool axis of an arbitrary section curve composed of variable lines and curves. Solid-analytical-based method is presented and extended to precisely and efficiently identify the cutter–workpiece engagements between the generalized milling cutter and workpiece being machined. And the undeformed chip thickness is calculated with respect to pre-defined tool coordinate system, which is regarded as the transformation form of feed cross–feed normal system by lead and tilt angles. Although only two experimental validations (peripheral milling with cylinder end mill and multi-axis milling with ball end mill) are performed to estimate the robustness and flexibility of the method presented, it can be applied for an arbitrary mill geometry in multi-axis milling as well as three-axis milling, two-and-a-half-axis milling. Finally, a case study of aero-engine impeller five-axis milling with ball end mill is performed to further illustrate the validation of the model.

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“…Liu et al [14] used a fitting method to achieve the dynamic parameters of the tooltip from FRF. Sun and Altintas [15] and Song et al [16] build FRF of the cutting tool by impact test and identified the modal parameters using the fitting method. From [13][14][15][16], it is known that the fitting method is easily performed in computing the modal parameters.…”

Section: Introductionmentioning

confidence: 99%

Measurement-Based Modal Analysis and Stability Prediction on Turn-Milling of Hollow Turbine Blade

Zhao

Hou

2020

Shock and Vibration

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Hollow blades with honeycomb structures are increasingly used in the turbine engines for reducing weight and saving costs. The hollow blade is a typical thin-walled structural part with low stiffness, the machining system of which is often unstable and likely to chatter. The most effective solution to avoid the machining chatter is to guide the hollow blade to be machined in a stable machining zone. This paper proposes a measurement-based approach for modal analysis and stability prediction of turn-milling hollow blade. The impact test was carried out to achieve the FRF curves on the hollow blade and the milling tool. An extremum method was employed to obtain an equivalent FRF curve, from which the modal parameters involving the natural frequency, damping ratio, and stiffness were computed. Afterwards, the semidiscretization method was used to draw a stability lobe diagram to predict the stability when turn-milling hollow blades. The experimental results confirm the feasibility of the predicted stability lobe diagram.

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Application of Sherman–Morrison–Woodbury formulas in instantaneous dynamic of peripheral milling for thin-walled component

Cited by 65 publications

References 30 publications

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

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

A generalized cutting force model for five-axis milling processes

Measurement-Based Modal Analysis and Stability Prediction on Turn-Milling of Hollow Turbine Blade

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