A Unified Spectro-Geometric-Ritz Method for Vibration Analysis of Open and Closed Shells with Arbitrary Boundary Conditions
Joint Authors
Shi, Dongyan
Wang, Qingshan
Pang, Fuzhen
Zhao, Yunke
Teng, Xiaoyan
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-30, 30 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-12
Country of Publication
Egypt
No. of Pages
30
Main Subjects
Abstract EN
This paper presents free vibration analysis of open and closed shells with arbitrary boundary conditions using a spectro-geometric-Ritz method.
In this method, regardless of the boundary conditions, each of the displacement components of open and closed shells is represented simultaneously as a standard Fourier cosine series and several auxiliary functions.
The auxiliary functions are introduced to accelerate the convergence of the series expansion and eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries.
The boundary conditions are modeled using the spring stiffness technique.
All the expansion coefficients are treated equally and independently as the generalized coordinates and determined using Rayleigh-Ritz method.
By using this method, a unified vibration analysis model for the open and closed shells with arbitrary boundary conditions can be established without the need of changing either the equations of motion or the expression of the displacement components.
The reliability and accuracy of the proposed method are validated with the FEM results and those from the literature.
American Psychological Association (APA)
Shi, Dongyan& Zhao, Yunke& Wang, Qingshan& Teng, Xiaoyan& Pang, Fuzhen. 2016. A Unified Spectro-Geometric-Ritz Method for Vibration Analysis of Open and Closed Shells with Arbitrary Boundary Conditions. Shock and Vibration،Vol. 2016, no. 2016, pp.1-30.
https://search.emarefa.net/detail/BIM-1119121
Modern Language Association (MLA)
Shi, Dongyan…[et al.]. A Unified Spectro-Geometric-Ritz Method for Vibration Analysis of Open and Closed Shells with Arbitrary Boundary Conditions. Shock and Vibration No. 2016 (2016), pp.1-30.
https://search.emarefa.net/detail/BIM-1119121
American Medical Association (AMA)
Shi, Dongyan& Zhao, Yunke& Wang, Qingshan& Teng, Xiaoyan& Pang, Fuzhen. A Unified Spectro-Geometric-Ritz Method for Vibration Analysis of Open and Closed Shells with Arbitrary Boundary Conditions. Shock and Vibration. 2016. Vol. 2016, no. 2016, pp.1-30.
https://search.emarefa.net/detail/BIM-1119121
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119121