Selection of design and operational parameters in spindle–holder–tool assemblies for maximum chatter stability by using a new analytical model

Erturk, Ahmet Semih; Budak, Erhan; Özgüven, H. Nevzat

doi:10.1016/j.ijmachtools.2006.08.016

Cited by 54 publications

(14 citation statements)

References 14 publications

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“…Ertürk et al [10] developed an analytical model that measures the effect of lathe spindle design (spindle diameter and length, bearing stiffness and positioning) and functional parameters (tool and holder type, tool length and holding torque) on the dynamic behavior of the tooltip and the stability of the assembly as far as selfexcited vibrations are concerned. Tool point FRF analysis proves that increasing spindle diameter displaces elastic mode frequencies towards positive values and increases elasticity.…”

Section: State-of-the-artmentioning

confidence: 99%

Flexible Integration of Shape and Functional Modelling of Machine Tool Spindles in a Design/Optimisation Framework

Vosniakos

Krimpenis

Benardos

2014

Materials Forming, Machining and Tribology

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In this work a streamlined design process of a machining centre spindle assembly is advocated in a flexible, yet standardised manner. This enables automatic construction of a structured 3D mesh, following a consistent numbering scheme of mesh regions so as to automate load application (bearings reactions and machining force) in parametrically variable spindle models. In this way, numerical analysis of any desired range of candidate design variants can be performed. Two groups of parameters are considered in spindle modelling: design and functional. Important design parameters are: number of bearings, bearings span and spindle diameters. A Design of Experiments (DoE) orthogonal array is a good way to discover favourable combinations of design parameter values as well as their relative importance through modal analysis without exhausting all possible combinations. Important functional parameters are: rotation speed and machining force pattern. Their effect is explored by transient dynamic analysis for targeted loading scenarios studying deflection at points of interest such as tool tip, bearings interface, coupling interface etc. Illustrative examples are given concerning 18 variants of a typical machining centre spindle.

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Section: State-of-the-artmentioning

confidence: 99%

Flexible Integration of Shape and Functional Modelling of Machine Tool Spindles in a Design/Optimisation Framework

Vosniakos

Krimpenis

Benardos

2014

Materials Forming, Machining and Tribology

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“…For the constant bearing stiffness can be obtained by experiment, this replacement will undoubtedly simplifies the spindle-bearing milling system greatly. The analytic or the semi-analytic method can therefore be adopted to research the chatter stability of the milling system [20] without considering the nonlinear and nonsmooth Hertz contact behaviors. The Poincaré sections for the two models processing in unstable conditions are shown in Figs.…”

Section: With Hertz Contact Stiffnessmentioning

confidence: 99%

“…Tian and Mohammad et al [17][18][19] considered the gyroscopic effect of the rotating spindle to explore how it relates to the stability characteristics of the milling system. Erturk and Budak [20] researched the effects of system parameters on stability of tool point for typical spindle-holder-tool assemblies. On the above-mentioned researches of the milling stability with spindle structures, the nonlinear bearing contact stiffness is usually simplified as constant value invariable with time.…”

Section: Introductionmentioning

confidence: 99%

Study of milling stability with Hertz contact stiffness of ball bearings

2010

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This present work examines the stability and nonlinear responses of a spindle milling system supported by ball bearings. A shaft finite element based on Timoshenko beam theory is employed to model the spindle, and modal reduction method is therefore adopted for saving the numerical calculating time. The issues of evaluating the effects of the ball bearing Hertz contact stiffness are consequently addressed. It is found that suitable constant bearing stiffness can be adopted to replace the nonlinear nonsmooth Hertz stiffness in prediction of the critical cutting depth of the milling system in certain bearing configuration conditions. For the constant bearing stiffness can be obtained by experiment, this replacement will undoubtedly simplify the spindle-bearing milling system. But with the increase in the bearing clearance, the spindle milling system will present obvious nonlinear behaviors, and the nonlinear Hertz contact bearing stiffness will take over. Isolated islands of chatter vibration, which are induced by the nonlinear nonsmooth bearing Hertz stiffness, can be found exist in milling processes in large bearing clearance conditions.

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“…The model was further modified based on the approaches suggested by Shih and Tsuei [8]. In the studies by Ozsahin, Erturk and Ozguven [9][10][11], analyses on a spindle-holder-tool assembly were conducted. The Timoshenko beam theory was employed to calculate the tool point FRF of the assembly with the use of the receptance coupling and structural modification methods.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of a Rotary Hollow Shaft With Hot-Fit Part Using Contact Elements With Friction

Chen

Kung

Hsu

2011

Transactions of the Canadian Society for Mechanical Engineering

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One of the key factors in designing a motor built-in high speed spindle is to assemble the motor rotor and shaft by means of hot-fit. Presented in this paper is a study of the influence of a hot-fit rotor on the local stiffness of the hollow shaft. Dynamic analyses of the rotor-hollow shaft assembly using contact elements are conducted. The normal contact stress state between the rotor and the hollow shaft is obtained through the use of contact elements with friction effects included. The normal contact stress, considered as the pr-stress between the rotor and the hollow shaft, is then adopted for subsequent modal analyses. In this study, the modal analysis results are verified by a modal testing experiment. The percent errors of the first natural frequency and the second natural frequency are down to about 0.58% and 0.79%, respectively.

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Selection of design and operational parameters in spindle–holder–tool assemblies for maximum chatter stability by using a new analytical model

Cited by 54 publications

References 14 publications

Flexible Integration of Shape and Functional Modelling of Machine Tool Spindles in a Design/Optimisation Framework

Flexible Integration of Shape and Functional Modelling of Machine Tool Spindles in a Design/Optimisation Framework

Study of milling stability with Hertz contact stiffness of ball bearings

Dynamic Analysis of a Rotary Hollow Shaft With Hot-Fit Part Using Contact Elements With Friction

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