Contact Stress Analysis in Ball Screw Mechanism Using the Tubular Medial Axis Representation of Contacting Surfaces

1997 ◽  
Vol 119 (1) ◽  
pp. 8-14 ◽  
Author(s):  
Hual-Te T. Huang ◽  
B. Ravani
Keyword(s):  
Mechanical Design ◽  
Medial Axis ◽  
Hertzian Contact ◽  
Ball Screw ◽  
Simple Method ◽  
Curvature Analysis ◽  
Screw Mechanism ◽  
Tubular Surfaces ◽  
Curvature Information ◽  
Helical Grooves

A simple method is presented for analysis of contact stresses and deformation conditions between the bearing balls, screw, and nut of the ball screw mechanism. The method is based on representation of contact geometry and curvature analysis of contacting surfaces using a generalization of the medial axis transform (MAT) to tubular surfaces. Simplified Hertzian contact solutions are obtained using the curvature information. The results are approximate but do include the effect of complex thread profiles as a result of the helical grooves and are suitable for mechanical design purposes.

Contact Stress Analysis in Ball Screw Mechanism Using the Tubular Medial Axis Representation of Contacting Surfaces

1995 ◽  
Author(s):  
Huai-Te T. Huang ◽  
Bahram Ravani
Keyword(s):  
Mechanical Design ◽  
Medial Axis ◽  
Hertzian Contact ◽  
Ball Screw ◽  
Medial Axis Transform ◽  
Simple Method ◽  
Curvature Analysis ◽  
Screw Mechanism ◽  
Tubular Surfaces ◽  
Helical Grooves

Abstract A simple method is presented for analysis of contact stresses and deformation conditions between the bearing balls, screw, and nut of the Ball Screw Mechanism. The method is based on representation of contact geometry and curvature analysis of contacting surfaces using a generalization of Medial Axis Transform (MAT) to tubular surfaces developed in this paper. Simplified Hertzian contact solutions are obtained using the curvature relationship in MAT. The results are approximate but do include the effect of complex thread profiles as a result of the helical grooves and are suitable for mechanical design purposes.

scholarly journals Dynamic Model of Planetary Roller Screw Mechanism with Considering Torsional Degree of Freedom

2020 ◽  
Vol 306 ◽  
pp. 01003
Author(s):  
Linping Wu ◽  
Shangjun Ma ◽  
Qi Wan ◽  
Geng Liu
Keyword(s):  
Dynamic Model ◽  
Mechanical Design ◽  
Relative Displacement ◽  
Hertzian Contact ◽  
Torsional Stiffness ◽  
Roller Screw ◽  
Mode Characteristics ◽  
Screw Mechanism ◽  
The Relationship ◽  
Hertzian Contact Theory

To predict accurately the dynamics performance of planetary roller screw mechanism, it is necessary to establish its streamline and engineering-compliant dynamic model, which is the basis of mechanical design and precision control of the system. In this paper, the relative displacement between roller and ring gear along the line of action is deduced and the relationship between nature frequencies and the number of rollers is discussed. Considering the torsional stiffness of all components and the thread mesh stiffness based on the Hertzian contact theory, the purely torsional model for planetary roller screw mechanism is presented to reveal the natural frequencies and vibration mode characteristics of the system. The results show that the natural properties of undamped system in planetary roller screw mechanism are mainly reflected by two typical vibration modes: rotational mode and roller mode.

Precision loss of ball screw mechanism under sliding-rolling mixed motion behavior

2021 ◽  
Vol 28 (5) ◽  
pp. 1357-1376
Author(s):  
Bao-bao Qi ◽  
Qiang Cheng ◽  
Shun-lei Li ◽  
Zhi-feng Liu ◽  
Cong-bin Yang
Keyword(s):  
Ball Screw ◽  
Screw Mechanism ◽  
Motion Behavior

Sir Robert Stawell Ball and methodologies of modern screw theory

2002 ◽  
Vol 216 (1) ◽  
pp. 1-11 ◽  
Author(s):  
H Lipkin ◽  
J Duffy
Keyword(s):  
Computational Geometry ◽  
Rigid Body ◽  
Lie Algebra ◽  
Screw Theory ◽  
Mechanical Design ◽  
Ball Screw ◽  
Dual Numbers ◽  
Body Dynamics ◽  
Rigid Body Mechanics ◽  
Multi Body

The theory of screws was largely developed by Sir Robert Stawell Ball over 100 years ago to investigate general problems in rigid body mechanics. Nowadays, screw theory is applied in many different but related forms including dual numbers, Plilcker coordinates and Lie algebra. An overview of these methodologies is presented along with a perspective on Ball. Screw theory has re-emerged after a hiatus to become an important tool in robot mechanics, mechanical design, computational geometry and multi-body dynamics.

scholarly journals Development of precision blank carriage for manufacturing large gratings and echelles

2019 ◽  
Vol 11 (1) ◽  
pp. 168781401881954
Author(s):  
Xinfang Ge ◽  
Biao Chu
Keyword(s):  
High Performance ◽  
Single Neuron ◽  
Dynamic Properties ◽  
Hertzian Contact ◽  
Ball Screw ◽  
Proportional Integral Derivative ◽  
Precision Positioning ◽  
Long Distance ◽  
Proportional Integral Derivative Controller ◽  
Proportional Integral

A long-travel positioning device, which combines a ball-screw-driven coarse stage with a fine one, driven by piezoelectric translator, to achieve the long-distance traveling, up to 500 mm, as well as high-precision positioning, is crucial in the field of diffraction grating fabrication at nanometer scale. In this article, we present the design of the fine-feed drive stage with resolution as high as 20 nm and propose a single neuron-based proportional–integral–derivative controller to realize ultra-precision positioning. A high-performance piezoelectric translator is used to drive the mechanism, and the parallel leaf springs are used to guide the moving platform with preload force. A dynamic model of the precision positioning mechanism has been established by considering the Hertzian contact. In addition, the static and dynamic properties are investigated with the laser interferometry tracking methodology. The experimental results indicate that the positioning accuracy of less than 10 nm is obtained with the single neuron-based proportional–integral–derivative controller and also demonstrate the excellent performance of the proposed mechanism and control strategy.

scholarly journals A new method to calculate the friction coefficient of ball screws based on the thermal equilibrium

2019 ◽  
Vol 11 (1) ◽  
pp. 168781401882073
Author(s):  
Lu-Chao Zhang ◽  
Li Zu
Keyword(s):  
Friction Coefficient ◽  
Temperature Rise ◽  
Thermal Equilibrium ◽  
Heat Dissipation ◽  
Mechanical Efficiency ◽  
New Method ◽  
Measuring System ◽  
Ball Screw ◽  
Heat Absorption ◽  
Screw Mechanism

Based on the theory of thermal transmission, this article provides a new method to acquire the friction coefficient in ball screw mechanism. While the screw is in thermal equilibrium, the heat absorption is equal to the heat dissipation. The heat absorption is able to be achieved by calculating the heat energy due to the friction at the contact area and the heat dissipation can be calculated by the law of thermodynamics. When the temperature rise is determined, the heat dissipation can be obtained and the friction coefficient in ball screw mechanism can be calculated further. In order to confirm the validity of this method, a measuring system is constructed to obtain the temperature rise of ball screws. The experimental results show that the temperature rise has the same tendency with the theoretical values depending on this model. Therefore, it can be exploited to predict the temperature rise of ball screws in the rated life cycle when the ball screw is under the condition of thermal equilibrium. Furthermore, this model can be used to evaluate the mechanical efficiency, which is an important parameter for the performance of the ball screw.

Nonlinear Dynamics Behaviors of Ball Screws with Preload Considered

2012 ◽  
Vol 510 ◽  
pp. 304-309 ◽  
Author(s):  
Yong Jiang Chen ◽  
Wen Cheng Tang ◽  
Shi Gen Zhang
Keyword(s):  
Nonlinear Dynamics ◽  
Dynamic Behavior ◽  
Analytical Model ◽  
Rotational Speed ◽  
Nonlinear Dynamic ◽  
Hertzian Contact ◽  
Ball Screw ◽  
Contact Deformation ◽  
Rolling Element ◽  
Equations Of Motions

In order to improve the vibration problem arise when rotational speed of a ball screw is increased, an analytical model is proposed to study the nonlinear dynamic behavior of the ball screw with preload considered. The contact force of each rolling element described according to nonlinear Hertzian contact deformation and the re-circulating mechanism has been taken in to account. A end-type ball screw is selected as an example, the methods of Runge-Kutta-fehlberg is used to solve the equations of motions numerically. It was found that the preload can be useful in controlling the vibration of the system,but the inhibit effect is not proportional to it,in the light of different type of ball screw, corresponding prevention preload is recommended.

Sign in / Sign up

Export Citation Format

Share Document