Mathematical Model of Feed Drive Mechanical System and Friction for CNC Machine Tools.

Tsutsumi, Masaomi; Ohtomo, Seiji; Okazaki, Yuji; Sakai, Koji; Yamazaki, Kazuo; Ge, Dongfang

doi:10.2493/jjspe.61.1458

Cited by 13 publications

(3 citation statements)

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“…It is known that a ball-screw driving system has natural modes caused by the stiffness of the screw shaft, and a mathematical model based on the components of the system has been proposed (Tsutsumi, et al, 1995). However, in this mathematical model, since each component of the system is treated as a lumped constant, the vibration effect of the Takahashi, Yuki and Suzuki, Mechanical Engineering Journal, Vol.3, No.4 (2016) [DOI: 10.1299/mej.…”

Section: Introductionmentioning

confidence: 99%

Modeling of ball screw driven stage for drilling machines with lumped parameter system model and FEM model

Takahashi

Yuki

Suzuki

2016

Mechanical Engineering Journal

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In this study, a method of modeling the frequency characteristic of a ball-screw-driven stage in a design phase is proposed, targeting a printed-circuit-board drilling machine. A ball-screw driven stage is widely used as a precise positioning mechanism mounted in inspection devices or manufacturing equipment. When a controller of the stage is being designed, the frequency response of the stage is needed first, and it is generally measured with actual stage equipment. Therefore, the positioning performance of the stage cannot be estimated in the design phase. A method for predicting the frequency characteristic of the stage on the basis of its design specification is required for developing the stage structure and controller and the method will be useful for shortening development period or lowering development costs. At the beginning of this study, it was revealed that the frequency response of the stage is affected by not only the stiffness of the ball screw but the natural modes of the structure, and it cannot be represented with just a lumped-parameter model of the ball-screw driving system. Subsequently, a modeling method for a ball-screw driven stage was proposed. The model consists of a lumped-parameter model of a ball-screw drive system and vibration models of its structural components (which are analyzed by FEM models), and these models are connected by mode synthesis. Finally the effectiveness of the proposed model was demonstrated in comparison with experimental results, and it is concluded that the proposed model can represent similar frequency-response characteristics as represented by measured values.

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Section: Introductionmentioning

confidence: 99%

Modeling of ball screw driven stage for drilling machines with lumped parameter system model and FEM model

Takahashi

Yuki

Suzuki

2016

Mechanical Engineering Journal

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“…Therefore, it is important to clarify effects of the machine tool structures and components on the above requirements [1,2]. Related to the machining accuracy, various models have been proposed to simulate positioning accuracy of a machine tool, and effects of the structures and components on the accuracy were clarified [1,4,5]. On the other hand, high chatter stability is a key to achieve high machining efficiency, which is generally affected by the structures and components [1,2,3].…”

Section: Introductionmentioning

confidence: 99%

Study on Dynamic Stiffness of Machine Tool with Consideration of Friction Damping in Guide

Shinagawa

Shamoto

2012

AMR

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The purpose of this study is to acquire design method of machine tools with higher dynamic stiffness and consequently higher chatter stability. This study focuses on stiffness of main structures and friction damping in guide of a machine tool, because stiffness and friction damping are considered to have major influence on the dynamic stiffness. A special testing machine with variable stiffness and friction was developed to clarify effects of the stiffness of main structures and the friction in guide on the dynamic stiffness and therefore the chatter stability. The stiffness of main structures and the friction in guide were changed experimentally, and it was clarified that the optimal friction force exists at every stiffness condition, and that higher stiffness does not always lead to higher stability.

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“…However the compensated input is calculated by using the inverse transfer function in which the dynamic characteristics are constant, and it is also required to synthesize the system by identifying the dynamic parameters previously [9][10]. On the other hand, the dynamic characteristics of NC tables change continuously during motion depending on the dynamics of driving mechanism and the position of NC tables.…”

Section: Introductionmentioning

confidence: 99%

Compensation of Machined Profile at Quadrant Motion by Real-Time Corrected Inverse Transfer Function

Unno

Morimoto

Ichida

et al. 2007

LEM21

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In this report, the dynamic characteristics are identified by real-time calculation as the second regression function. The proposed control method is realized the real-time compensation of positioning. The compensated output is suppressed to 50% of trajectory error of the conventional PID control without identifying the parameters previously. Moreover by giving only the friction to the servomotor, the friction force is measured. The friction correction is applied to a real-time inverse transfer function method considering the dynamic behavior . The result by our method shows the considerable reduction of stick motion.

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Mathematical Model of Feed Drive Mechanical System and Friction for CNC Machine Tools.

Cited by 13 publications

References 0 publications

Modeling of ball screw driven stage for drilling machines with lumped parameter system model and FEM model

Modeling of ball screw driven stage for drilling machines with lumped parameter system model and FEM model

Study on Dynamic Stiffness of Machine Tool with Consideration of Friction Damping in Guide

Compensation of Machined Profile at Quadrant Motion by Real-Time Corrected Inverse Transfer Function

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