Static, Vibration, and Transient Dynamic Analyses by Beam Element with Adaptive Displacement Interpolation Functions
Joint Authors
Li, Shuang
Hu, Jinjun
Zhai, Changhai
Xie, Lili
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-15
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
An approach to analyzing structures by using beam elements is developed with adaptive displacement interpolation functions.
First, the element stiffness matrix and equivalent nodal loads are derived on the basis of the equilibrium between nodal forces and section forces rather than the compatibility between nodal deformations and section deformations, which avoids discretization errors caused by the limitation of conventional polynomial interpolation functions.
Then, six adaptive element displacement interpolation functions are derived and extended to include several cases, such as beams with variable cross-section, variable material properties, and many different steps in cross-section and/or material properties.
To make the element usable in dynamic analyses, consistent mass matrix (CMM) and diagonally lumped mass matrix (LMM) are constructed using the presented adaptive displacement interpolation functions.
All these features have made the element elegant, which is tested with a number of simple static, vibration, and dynamic examples to show its accuracy.
American Psychological Association (APA)
Li, Shuang& Hu, Jinjun& Zhai, Changhai& Xie, Lili. 2012. Static, Vibration, and Transient Dynamic Analyses by Beam Element with Adaptive Displacement Interpolation Functions. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-1001410
Modern Language Association (MLA)
Li, Shuang…[et al.]. Static, Vibration, and Transient Dynamic Analyses by Beam Element with Adaptive Displacement Interpolation Functions. Mathematical Problems in Engineering No. 2012 (2012), pp.1-25.
https://search.emarefa.net/detail/BIM-1001410
American Medical Association (AMA)
Li, Shuang& Hu, Jinjun& Zhai, Changhai& Xie, Lili. Static, Vibration, and Transient Dynamic Analyses by Beam Element with Adaptive Displacement Interpolation Functions. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-1001410
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001410