Theoretical development of a stiffness decomposition method for calculating the displacement of complex bending structures
Joint Authors
Song, Yingliang
Zheng, Yuguo
Xiao, Xiangshou
Chen, Minghang
Source
Journal of Engineering Research
Issue
Vol. 9, Issue 4 B (31 Dec. 2021), pp.112-146, 35 p.
Publisher
Kuwait University Academic Publication Council
Publication Date
2021-12-31
Country of Publication
Kuwait
No. of Pages
35
Main Subjects
Abstract EN
It is very difficult to provide analytical displacement solutions for complex bending structures, such as beams with variable cross-sections, in structural analysis.
the common methods used for such analysis-the direct integration method and the conventional graph multiplication method-have disadvantages of inefficiency and large computational costs.
therefore, a new approach called the stiffness decomposition method was proposed to overcome these shortcomings.
the fundamental principle of this new approach was derived based on the unit load method.
the general calculation equation of displacement was derived and provided for general n-segment complex bending structures, and an operational procedure for this method was constructed to facilitate its application.
then, the method was applied to two case studies involving classic complex bending structures.
the results showed the correctness and effectiveness of the proposed method.
the stiffness decomposition method was simpler and more efficient than the other two methods: the number of computations required by the stiffness decomposition method accounted for only 47.4% to 84.0% of the number of computations required by the other methods in the two case studies.
the clear mathematical and mechanical derivation of the proposed method makes it easy to understand.
furthermore, the simplicity and practicality of this method make it extensively applicable.
American Psychological Association (APA)
Zheng, Yuguo& Xiao, Xiangshou& Chen, Minghang& Song, Yingliang. 2021. Theoretical development of a stiffness decomposition method for calculating the displacement of complex bending structures. Journal of Engineering Research،Vol. 9, no. 4 B, pp.112-146.
https://search.emarefa.net/detail/BIM-1494812
Modern Language Association (MLA)
Zheng, Yuguo…[et al.]. Theoretical development of a stiffness decomposition method for calculating the displacement of complex bending structures. Journal of Engineering Research Vol. 9, no. 4 B (Dec. 2021), pp.112-146.
https://search.emarefa.net/detail/BIM-1494812
American Medical Association (AMA)
Zheng, Yuguo& Xiao, Xiangshou& Chen, Minghang& Song, Yingliang. Theoretical development of a stiffness decomposition method for calculating the displacement of complex bending structures. Journal of Engineering Research. 2021. Vol. 9, no. 4 B, pp.112-146.
https://search.emarefa.net/detail/BIM-1494812
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 145-146
Record ID
BIM-1494812