Timoshenko beam-based stability and natural frequency analysis for heavy load mechanical spindles

Liu, Zhifeng; Ma, Shangjun; Cai, Ligang; Guo, Tieneng; Zhao, Yaohua

doi:10.1007/s12206-012-0858-9

Cited by 6 publications

(8 citation statements)

References 22 publications

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“…The equations of equilibrium of the beam element can be obtained from Lagrange equations, as in Equation (4) 25 where us, u·s, and u··s are the generalized arrays of displacement, speed, and acceleration of the element, respectively, and Ps is the generalized force array of the element.…”

Section: Dynamic Model Of the Polyester Filament Winding Spindlementioning

confidence: 99%

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A dynamic modeling approach for the winding spindle during start-up with a coupled flexible support system

Wang

Zhang

Hou

et al. 2019

Textile Research Journal

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A polyester filament winding spindle is the most complex winding rotor system, due to its high speed, heavy load, and frequency-dependent parameters; furthermore, the spindle's rotating speed constantly changes and it is continually crossing the critical speed points. This paper presents an approach to establish the finite element model of the winding spindle to predict its dynamic behavior characteristics during start-up. Firstly, three finite element models of the discrete single component were developed based on the Timoshenko beam theory. The bending, transverse shear effect, and gyroscopic moment were considered in these models. The flexible supporting system, which consists of a deep groove ball bearing and several rubber O-rings, is simplified by a nonlinear spring and damper. Its frequency-dependent dynamic supporting parameters are identified by experiment. Secondly, a fully dynamic model of the polyester winding spindle system, which consists of the cantilever supporting arm, shaft, and sleeve, as well as the flexible and rigid coupling elements, was established. Thirdly, the Newmark method was used to develop a program for solving the dynamic equations of the spindle system in MATLAB®. Based on the model of the spindle system and the computation program, the effects of the supporting stiffness, damping, and start-up time on the spindle's unbalanced response were investigated. The results indicate that the model of the spindle system presented in this paper is suitable for the prediction of the dynamic performance during its start-up.

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Section: Dynamic Model Of the Polyester Filament Winding Spindlementioning

confidence: 99%

“…Now, a general FEM can be used to model a spindle assembly: the spindle shaft and housing are modeled as a Timoshenko beam and the composite support system is modeled as a standard nonlinear spring and damper. 24–26…”

mentioning

confidence: 99%

A dynamic modeling approach for the winding spindle during start-up with a coupled flexible support system

Wang

Zhang

Hou

et al. 2019

Textile Research Journal

View full text Add to dashboard Cite

show abstract

“…7 Now, a general FEM can be used to model the spindle assembly: the spindle shaft and housing are modeled as a Timoshenko beam and the composite support system is modeled as a standard nonlinear spring and damper. 8–10…”

mentioning

confidence: 99%

A dynamic modeling approach for a high-speed winding system with twin-rotor coupling

Hou

Wang

Feng

et al. 2020

Textile Research Journal

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This paper continues the previous study and presents a dynamic modeling approach for a high-speed winding system. To meet the requirements of high-speed winding, a twin-rotor coupling structure is adopted in the winding system. It is a complex spindle system, due to its high speed, heavy load, frequency-dependent coupling parameters, and time-varying rotational speed. In this paper, an approach to establishing a finite element model of the winding system is proposed to predict its dynamic behavior characteristics during the winding process. First, the spindle and contact roller models of the discrete single component are developed based on Timoshenko beam theory. Bending, transverse shear effects, and gyroscopic moment are considered in the models. The contact stiffness between the contact roller and the packages to be wound on the spindle is simplified by a nonlinear spring. The contact stiffness is identified by dynamics analysis in ANSYS® 17.0. Next, a fully dynamic model of the winding system, which consists of the spindle subsystem, the contact roller, and the flexible coupling elements, is established. Third, the Newmark method is used to develop the program to solve the dynamic equations in MATLAB® 2013b. Finally, the effects of the supporting system and contact state on the winding system's dynamic response are investigated. The results indicate the model of the winding system presented in this paper is suitable for predicting dynamic performance during the winding process.

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“…Machining force frequencies are known to vary greatly as process parameters (e.g., spindle speed, feed and depth of cut) change [6]. As a result, resonance phenomenon will occur when machining force frequency is close to natural frequency of the guideway system [7]. Magnetorheological (MR) fluid is a kind of controllable or smart fluid whose rheological properties can be dramatically and reversibly varied by the application of external magnetic field in milliseconds [8].…”

Section: Introductionmentioning

confidence: 99%

A magnetorheological hydrostatic guideway system for machining vibration control

Chengpei

2018

J Braz. Soc. Mech. Sci. Eng.

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A novel magnetorheological (MR) hydrostatic guideway system for control of machining vibration is proposed. After the analysis of the relationship between correlation parameters and working variables, a computational fluid dynamics (CFD) model is presented. With this model incorporated into the commercial code FLUENT, a numerical study on performance parameters of MR hydrostatic guideway system is carried out efficiently. Static stiffness and damping coefficients are calculated by using dynamic mesh technique based on perturbation theory. Analysis on dynamic behaviors of the MR hydrostatic guideway under the action of machining force is performed. An experimental study has been undertaken in order to validate the accuracy of the numerical model. It is observed that working variables (magnetic flux density, initial pressure ratio and load ratio) have significant effects on the performance characteristics (flow rate, frictional force, stiffness and damping) of the system. Optimal static stiffness and high damping can be expected simultaneously. Dynamic stiffness of the system can be improved and vibration caused by machining force can be reduced remarkably by increasing magnetic flux density. It is effective to control machining vibration by applying MR hydrostatic guideway system.

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Timoshenko beam-based stability and natural frequency analysis for heavy load mechanical spindles

Cited by 6 publications

References 22 publications

A dynamic modeling approach for the winding spindle during start-up with a coupled flexible support system

A dynamic modeling approach for the winding spindle during start-up with a coupled flexible support system

A dynamic modeling approach for a high-speed winding system with twin-rotor coupling

A magnetorheological hydrostatic guideway system for machining vibration control

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