Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process
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...
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Hindawi Limited
2019-01-01
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Series: | Shock and Vibration |
Online Access: | http://dx.doi.org/10.1155/2019/6571896 |
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doaj-b89d2588e20d4852bdb042c93f2b734f2020-11-24T21:41:06ZengHindawi LimitedShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/65718966571896Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting ProcessCheng Zhang0Jianrun Zhang1School of Mechanical Engineering, Southeast University, Nanjing 211189, ChinaSchool of Mechanical Engineering, Southeast University, Nanjing 211189, ChinaThe 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.http://dx.doi.org/10.1155/2019/6571896 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Cheng Zhang Jianrun Zhang |
spellingShingle |
Cheng Zhang Jianrun Zhang Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process Shock and Vibration |
author_facet |
Cheng Zhang Jianrun Zhang |
author_sort |
Cheng Zhang |
title |
Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process |
title_short |
Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process |
title_full |
Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process |
title_fullStr |
Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process |
title_full_unstemmed |
Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process |
title_sort |
bending vibration analysis of tensioned ball screw under nonuniform stress during the cutting process |
publisher |
Hindawi Limited |
series |
Shock and Vibration |
issn |
1070-9622 1875-9203 |
publishDate |
2019-01-01 |
description |
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. |
url |
http://dx.doi.org/10.1155/2019/6571896 |
work_keys_str_mv |
AT chengzhang bendingvibrationanalysisoftensionedballscrewundernonuniformstressduringthecuttingprocess AT jianrunzhang bendingvibrationanalysisoftensionedballscrewundernonuniformstressduringthecuttingprocess |
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1725923195614134272 |