Nonlinear dynamic analysis for machine tool table system mounted on linear guides

Wang, Wei; Li, Changyou; Zhou, Yanxun; Wang, Hao; Zhang, Yimin

doi:10.1007/s11071-018-4473-x

Cited by 36 publications

(14 citation statements)

References 25 publications

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“…The piecewise nonlinear characteristics of the linear rolling guideway in simple load condition have been stated by former researches. 3,16 Considering combined vertical and lateral loads, the nonlinear characteristics are more complex, as shown in Figure 7. The relationship between stiffness and external loads can be divided into nine regions according to the values of vertical and lateral loads, as depicted in Figure 7(a).…”

Section: Analysis Of Multidirectional Stiffness Variation Under Combimentioning

confidence: 99%

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Hybrid modeling and analysis of multidirectional variable stiffness of the linear rolling guideway under combined loads

Lei

Wang

Zhao

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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In the working process of high-speed multiaxis machine tools, inertial loads due to high feed acceleration and time-varying gravity loads due to changing configuration of multiaxis structure result in time-varying complex loads applied to linear rolling guideway. Existing models cannot efficiently represent the effect of complex loads on multidirectional stiffness variation of linear rolling guideway. In this paper, a hybrid model of multidirectional stiffness of linear rolling guideway and the solving algorithm are proposed. The complex loading conditions of linear rolling guideway in high-speed multiaxis machine tool structure are considered. And contact flexibilities between rolling balls and grooves are modeled with the effect of elastic deformations of runner block and rail. The proposed model can calculate the multidirectional stiffness with high accuracy. Meanwhile the differences between the stiffness characteristics in different directions are represented correctly. The variations of multidirectional stiffness of linear rolling guideway under time-varying combined loads are analyzed. This study provides an effective way to comprehensively evaluate the stiffness characteristics of linear rolling guideway which can contribute to the dynamic analysis and active design of high-speed machine tool structure.

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Section: Analysis Of Multidirectional Stiffness Variation Under Combimentioning

confidence: 99%

“…Wang et al. 16 modeled load and contact deformation of linear guide considering the vertical load, horizontal load, and bending moment. And the nonlinear dynamic response of a machine tool table system mounted on the linear guide was studied.…”

Section: Introductionmentioning

confidence: 99%

Hybrid modeling and analysis of multidirectional variable stiffness of the linear rolling guideway under combined loads

Lei

Wang

Zhao

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…As a result, rollers in the linear guideway undergo complex movements such as slipping and mutual convergence (approach) or separation under oscillatory conditions. These movements are caused by changes in the applied load transmitted to the linear guideway, as well as the contact conditions between the rollers and the raceway grooves, 3 which results in instability of vibration, [4][5][6][7] noise, 8,9 fatigue [10][11][12] and wear. 13,14 On the other hand, the friction force affects the precision of the linear guideway by acting as a damping force, the frictional heat generation leading to the dynamic variation in stiffness and temperature deformation of the machine tool (thermal distortion).…”

Section: Introductionmentioning

confidence: 99%

Coupled tribo-dynamic modelling of linear guideways for high precision machining application

Soleimanian

Mohammadpour

Ahmadian

2020

Proceedings of the Institution of Mechanical Engineers, Part J:

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Linear guideways play a crucial role in determining precision of machine tools. Understanding their dynamic response is essential for objectively controlling their behavior and performance in operation. Due to highly loaded lubricated contacts, mixed-elastohydrodynamic regime is dominant. The mixed-elastohydrodynamic film maintains the coupling between horizontal degree of freedom (feed velocity) and vertical degree of freedom (loading direction). This paper presents a novel tribo-dynamic solution for linear guideways, taking in to account the lubricant effects and coupling between horizontal and vertical degrees of freedom. An analytical tribology model is used implicitly within the dynamic model. For in-depth tribological quantities including pressure and film thickness distribution, an explicit full numerical solution for mixed-elastohydrodynamic is utilized. Results show that the coupled solution of vertical and horizontal degrees of freedom taking in to account lubricated contacts is essential. It is shown that at moderate and light loads, the effect of this coupling and presence of lubricant is more pronounced.

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“…Guo et al 37 and Xi et al 38 investigated the stochastic resonance in a piecewise nonlinear model driven by multiplicative non-Gaussian and additive white noise, and discussed the effect of noises, periodic signal, and system parameters on signal-to-noise ratio. Wang et al 39 derived the relationship between contact deformation and force via Hertz contact theory and obtained piecewise nonlinear interaction forces. They also solved dynamic differential equations by using the Runge-Kutta integration method to investigate the dynamic behaviors of the dynamic system.…”

Section: Introductionmentioning

confidence: 99%

“…Wang et al. 39 derived the relationship between contact deformation and force via Hertz contact theory and obtained piecewise nonlinear interaction forces. They also solved dynamic differential equations by using the Runge–Kutta integration method to investigate the dynamic behaviors of the dynamic system.…”

Section: Introductionmentioning

confidence: 99%

Periodic response characteristics on a piecewise hysteresis nonlinear system

Wang

Chen

Liu

et al. 2019

Journal of Low Frequency Noise, Vibration and Active Control

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A piecewise hysteresis nonlinear dynamic model with nonlinear stiffness and damping is established for a system with alternating elastic constraints and hysteresis nonlinearity. First, the amplitude-frequency response equation of the system is solved by using the averaging method under periodic excitation. Two frequency regions with multiple solutions are then identified in the system, and the amplitude-frequency response characteristics under different system parameters are obtained. Thus, the influence law of different piecewise nonlinear factors on system stability is explored. Second, the bifurcation behavior of the system under different external disturbances is analyzed. Given the change of perturbation parameters, the system is found to be a complex dynamic system with alternating periodic, double periodic, and chaotic motions, and many other forms of movement. Moreover, lower buffer damping leads to the complex and unpredictable chaotic state of the system's dynamic behavior.

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Nonlinear dynamic analysis for machine tool table system mounted on linear guides

Cited by 36 publications

References 25 publications

Hybrid modeling and analysis of multidirectional variable stiffness of the linear rolling guideway under combined loads

Hybrid modeling and analysis of multidirectional variable stiffness of the linear rolling guideway under combined loads

Coupled tribo-dynamic modelling of linear guideways for high precision machining application

Periodic response characteristics on a piecewise hysteresis nonlinear system

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