Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process

Joint Authors

Zhang, Jianrun
Zhang, Cheng

Source

Shock and Vibration

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-03-21

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Civil Engineering

Abstract EN

The bending vibration of tensioned ball screw under nonuniform stress in the cutting process is analyzed in this paper.

Differential equation of a beam under nonuniform prestress is derived according to Euler–Bernoulli beam theory.

A method to solve the differential equation under different boundary conditions is proposed based on the segmentation method.

The correctness of the method is verified by comparison with the traditional method and experiment, respectively.

The dynamic analysis of tensioned ball screw under nonuniform stress in the cutting process is carried out with this method.

The influence of the location on the ball screw and amplitude of the axial force produced in the cutting process on natural frequencies of ball screw is researched.

Results show that the greater the force, the greater the change in natural frequencies.

Furthermore, the change of first two natural frequencies presents a simple harmonic trend with the force moving along the ball screw.

Taking a set of cutting force data as an example, the instantaneous frequency of tensioned ball screw in the cutting process is calculated in the end.

American Psychological Association (APA)

Zhang, Cheng& Zhang, Jianrun. 2019. Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process. Shock and Vibration،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1211439

Modern Language Association (MLA)

Zhang, Cheng& Zhang, Jianrun. Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process. Shock and Vibration No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1211439

American Medical Association (AMA)

Zhang, Cheng& Zhang, Jianrun. Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process. Shock and Vibration. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1211439

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1211439