Vibration characteristic analysis of a circular thin plate with complex pre-stress distribution

The influence of complex pre-stress on the circular thin plate is investigated in this study to solve the non-uniform stress distribution problem. The differential equation of the circular plate with complex pre-stress distribution is derived based on the strain-displacement equation. The analytical...

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Main Authors:	Leixin Li, Luyun Chen, Hong Yi
Format:	Article
Language:	English
Published:	JVE International 2018-12-01
Series:	Journal of Vibroengineering
Subjects:	complex pre-stress circular thin plate dynamic characteristics natural frequency analytical method
Online Access:	https://www.jvejournals.com/article/19244

id	doaj-6a5c4318c10a4e398a9d201c3f8f1fc3
record_format	Article
spelling	doaj-6a5c4318c10a4e398a9d201c3f8f1fc32020-11-24T21:14:24ZengJVE InternationalJournal of Vibroengineering1392-87162538-84602018-12-012082951296510.21595/jve.2018.1924419244Vibration characteristic analysis of a circular thin plate with complex pre-stress distributionLeixin Li0Luyun Chen1Hong Yi2State Key Laboratory of Ocean Engineering, Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai Jiao Tong University, Shanghai, 200240, ChinaState Key Laboratory of Ocean Engineering, Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai Jiao Tong University, Shanghai, 200240, ChinaState Key Laboratory of Ocean Engineering, Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai Jiao Tong University, Shanghai, 200240, ChinaThe influence of complex pre-stress on the circular thin plate is investigated in this study to solve the non-uniform stress distribution problem. The differential equation of the circular plate with complex pre-stress distribution is derived based on the strain-displacement equation. The analytical method of free vibration for the circular plate with complex pre-stress distribution is proposed, in which the complex pre-stress and displacement function of the circular plate are expanded into the cosine trigonometric series. The influence of the different types of welding residual stress distribution on the natural frequency and the mode shape of the circular plate structure is compared. Finally, the effectiveness of the proposed model is verified through finite element method.https://www.jvejournals.com/article/19244complex pre-stresscircular thin platedynamic characteristicsnatural frequencyanalytical method
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Leixin Li Luyun Chen Hong Yi
spellingShingle	Leixin Li Luyun Chen Hong Yi Vibration characteristic analysis of a circular thin plate with complex pre-stress distribution Journal of Vibroengineering complex pre-stress circular thin plate dynamic characteristics natural frequency analytical method
author_facet	Leixin Li Luyun Chen Hong Yi
author_sort	Leixin Li
title	Vibration characteristic analysis of a circular thin plate with complex pre-stress distribution
title_short	Vibration characteristic analysis of a circular thin plate with complex pre-stress distribution
title_full	Vibration characteristic analysis of a circular thin plate with complex pre-stress distribution
title_fullStr	Vibration characteristic analysis of a circular thin plate with complex pre-stress distribution
title_full_unstemmed	Vibration characteristic analysis of a circular thin plate with complex pre-stress distribution
title_sort	vibration characteristic analysis of a circular thin plate with complex pre-stress distribution
publisher	JVE International
series	Journal of Vibroengineering
issn	1392-8716 2538-8460
publishDate	2018-12-01
description	The influence of complex pre-stress on the circular thin plate is investigated in this study to solve the non-uniform stress distribution problem. The differential equation of the circular plate with complex pre-stress distribution is derived based on the strain-displacement equation. The analytical method of free vibration for the circular plate with complex pre-stress distribution is proposed, in which the complex pre-stress and displacement function of the circular plate are expanded into the cosine trigonometric series. The influence of the different types of welding residual stress distribution on the natural frequency and the mode shape of the circular plate structure is compared. Finally, the effectiveness of the proposed model is verified through finite element method.
topic	complex pre-stress circular thin plate dynamic characteristics natural frequency analytical method
url	https://www.jvejournals.com/article/19244
work_keys_str_mv	AT leixinli vibrationcharacteristicanalysisofacircularthinplatewithcomplexprestressdistribution AT luyunchen vibrationcharacteristicanalysisofacircularthinplatewithcomplexprestressdistribution AT hongyi vibrationcharacteristicanalysisofacircularthinplatewithcomplexprestressdistribution
_version_	1716747444518125568

Vibration characteristic analysis of a circular thin plate with complex pre-stress distribution

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