Exact Free Vibration Analysis for Plate Built-Up Structures under Comprehensive Combinations of Boundary Conditions
Joint Authors
Han-cheng, Dan
Liu, Xiang
Xie, Chen
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-20
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
In this research, an exact dynamic stiffness model for spatial plate built-up structures under comprehensive combinations of different boundary conditions is newly proposed.
Dynamic stiffness formulations for plate elements with 16 different types of supported opposite edges and arbitrarily supported boundary conditions along other edges are developed, which makes the dynamic stiffness method (DSM) more applicable to engineering problems compared to existing works.
The Wittrick–Williams algorithm of the DSM is applied with the explicit expressions of the J0 count for plate elements under all above support conditions.
In return, there is no need to refine the element in the DSM, and thus, it becomes immensely efficient.
Moreover, the present theory is applied for exact free vibration analysis within the whole frequency range of three built-up structures which are commonly encountered in engineering.
The results show that the DSM gives exact results with as much as 100-fold computational efficiency advantage over the commercial finite element method.
Besides, benchmark results are also provided.
American Psychological Association (APA)
Liu, Xiang& Xie, Chen& Han-cheng, Dan. 2020. Exact Free Vibration Analysis for Plate Built-Up Structures under Comprehensive Combinations of Boundary Conditions. Shock and Vibration،Vol. 2020, no. 2020, pp.1-21.
https://search.emarefa.net/detail/BIM-1210003
Modern Language Association (MLA)
Liu, Xiang…[et al.]. Exact Free Vibration Analysis for Plate Built-Up Structures under Comprehensive Combinations of Boundary Conditions. Shock and Vibration No. 2020 (2020), pp.1-21.
https://search.emarefa.net/detail/BIM-1210003
American Medical Association (AMA)
Liu, Xiang& Xie, Chen& Han-cheng, Dan. Exact Free Vibration Analysis for Plate Built-Up Structures under Comprehensive Combinations of Boundary Conditions. Shock and Vibration. 2020. Vol. 2020, no. 2020, pp.1-21.
https://search.emarefa.net/detail/BIM-1210003
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1210003