A General Method for the Modeling of Bearing Systems

2013 ◽  
Vol 721 ◽  
pp. 402-408
Author(s):  
Tie Neng Guo ◽  
Ya Hui Cui ◽  
Li Gang Cai
Keyword(s):  
Mathematical Modeling ◽  
Modeling Method ◽  
Ball Bearings ◽  
Contact Deformation ◽  
Force Analysis ◽  
Internal Contact ◽  
Stiffness Characteristics ◽  
Load Conditions ◽  
General Method

Based on force analysis of angular contact ball bearings, this paper proposes a generic mathematical modeling method. This paper conducts in-depth research for these aspects: all directions of the stiffness characteristics under different load conditions of angular contact ball bearings, internal contact deformation and the change of bearing parameters. This article eventually gets the variation of the bearing characteristics under different load conditions.

Study on Modeling Method and Characteristics of Bearing System with High Rotation Speed

2013 ◽  
Vol 842 ◽  
pp. 391-396
Author(s):  
Li Gang Cai ◽  
Gen Li ◽  
Ya Hui Cui ◽  
Tie Neng Guo ◽  
Yong Sheng Zhao
Keyword(s):  
Ball Bearing ◽  
Rotation Speed ◽  
Modeling Method ◽  
Ball Bearings ◽  
Angular Contact Ball Bearing ◽  
Gyroscopic Moment ◽  
High Rotation Speed ◽  
Stiffness Characteristics ◽  
Load Conditions ◽  
Bearing System

This paper established a general mathematical modeling method based on stress analysis of the angular contact ball bearing under high rotation speed. The influence of the centrifugal force and gyroscopic moment generated in the rotation process is taken into account in this mathematical model. This paper conducted in-depth research for these aspects: the stiffness characteristics of angular contact ball bearings under different load conditions and different rotational speed, internal contact deformation and the change of bearing parameters.

Fixture Clamping Force Analysis during Milling Process

2013 ◽  
Vol 278-280 ◽  
pp. 385-388 ◽  
Author(s):  
Shao Gang Liu ◽  
Qiu Jin
Keyword(s):  
Analytical Method ◽  
Linear Equations ◽  
Milling Process ◽  
Contact Forces ◽  
Clamping Force ◽  
Contact Deformation ◽  
Force Analysis ◽  
Equilibrium Equations ◽  
Tangential Contact ◽  
Fixture Element

This paper presents a analytical method to calculate the minimum clamping force to prevent slippage between the workpiece and spherical-tipped fixture elements during milling process. After the contact deformation between the workpiece and spherical-tipped fixture element is determined, the relationships between the workpiece displacement and the contact deformations are obtained. Based on the static equilibrium equations, these equations are combined and linear equations are obtained to calculate the tangential contact forces between the workpiece and spherical-tipped fixture element. According to the maximum tangential contact force, the minimum clamping force to prevent slippage between the workpiece and spherical-tipped fixture elements is calculated. At last, this method is illustrated with a simulation example.

Study of the Stiffness Matrix of Preloaded Duplex Angular Contact Ball Bearings

2018 ◽  
Vol 141 (3) ◽  
Author(s):  
Shengye Lin ◽  
Shuyun Jiang
Keyword(s):  
Stiffness Matrix ◽  
Degrees Of Freedom ◽  
Ball Bearing ◽  
Ball Bearings ◽  
Fixed Position ◽  
Angular Contact Ball Bearing ◽  
Face To Face ◽  
Radial Stiffness ◽  
Proposed Model ◽  
Stiffness Characteristics

This paper studies the stiffness characteristics of preloaded duplex angular contact ball bearings. First, a five degrees-of-freedom (5DOF) quasi-static model of the preloaded duplex angular contact ball bearing is established based on the Jones bearing model. Three bearing configurations (face-to-face, back-to-back, and tandem arrangements) and two preload mechanisms (constant pressure preload and fixed position preload) are included in the proposed model. Subsequently, the five-dimensional stiffness matrix of the preloaded duplex angular contact ball bearing is derived analytically. Then, an experimental setup is developed to measure the radial stiffness and the angular stiffness of duplex angular contact ball bearings. The simulated results match well with those from experiments, which prove the validity of the proposed model. Finally, the effects of bearing configuration, preload mechanism, and unloaded contact angle on the angular stiffness and the cross-coupling are studied systematically.

Mathematical Modeling Method for Generation of Gaussian-Type Removal Function in Fluid Jet Polishing

2018 ◽  
Vol 38 (10) ◽  
pp. 1022002
Author(s):  
王中昱 Wang Zhongyu ◽  
张连新 Zhang Lianxin ◽  
孙鹏飞 Sun Pengfei ◽  
李建 Li Jian ◽  
尹承真 Yin Chengzhen
Keyword(s):  
Mathematical Modeling ◽  
Modeling Method ◽  
Gaussian Type

Mathematical modeling method of cell tension and compression based on multi-modal mechanical signals

2020 ◽  
pp. 1-10
Author(s):  
Dongyang Pan ◽  
Jingrui Liu
Keyword(s):  
Mathematical Modeling ◽  
Stem Cells ◽  
Elastic Modulus ◽  
Human Health ◽  
Mechanical Stimulation ◽  
Cell Morphology ◽  
Cell Mechanics ◽  
Modeling Method ◽  
Mechanical Signals ◽  
Stimulation Of

Mechanical biology is the study of the influence of the mechanical environment on human health, disease, or injury. To study the mechanism of the organism’s perception and response to mechanical signals can promote the development of biomedical basic and clinical research, and promote human health. The purpose of this paper is to study the mathematical modeling method of the effect of multimodal mechanical signals on cell stretching and compression. This article first established a cell mechanics model based on the generalization of membrane theory, introduced the micro-manipulation techniques used to characterize cell mechanics and the method of cell mechanics loading, and then explained why mathematical modeling was established. Finally, according to the multi-modality During the mechanical preparation process, the effects of multi-modal mechanical signals on the stretching and compression of annulus fibrosus stem cells were studied. The experimental results in this paper show that after planting fibrous stem cells with different elastic modulus, the cell proliferation is obvious after the tensile mechanical stimulation of different conditions, and the different elastic modulus scaffolds are stimulated by the tensile mechanical stimulation of 2% tensile amplitude. The cell morphology is different. The low elastic modulus is round-like, and the high elastic modulus is fusiform-like. After 5% and 12% stretch amplitude, the cells are oriented at different elastic modulus. Arranged, there is no obvious difference in cell morphology.

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