A Hybrid Interpolation Method for Geometric Nonlinear Spatial Beam Elements with Explicit Nodal Force
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-02-29
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Based on geometrically exact beam theory, a hybrid interpolation is proposed for geometric nonlinear spatial Euler-Bernoulli beam elements.
First, the Hermitian interpolation of the beam centerline was used for calculating nodal curvatures for two ends.
Then, internal curvatures of the beam were interpolated with a second interpolation.
At this point, C1 continuity was satisfied and nodal strain measures could be consistently derived from nodal displacement and rotation parameters.
The explicit expression of nodal force without integration, as a function of global parameters, was founded by using the hybrid interpolation.
Furthermore, the proposed beam element can be degenerated into linear beam element under the condition of small deformation.
Objectivity of strain measures and patch tests are also discussed.
Finally, four numerical examples are discussed to prove the validity and effectivity of the proposed beam element.
American Psychological Association (APA)
Fang, Huiqing& Qi, Zhaohui. 2016. A Hybrid Interpolation Method for Geometric Nonlinear Spatial Beam Elements with Explicit Nodal Force. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1112791
Modern Language Association (MLA)
Fang, Huiqing& Qi, Zhaohui. A Hybrid Interpolation Method for Geometric Nonlinear Spatial Beam Elements with Explicit Nodal Force. Mathematical Problems in Engineering No. 2016 (2016), pp.1-16.
https://search.emarefa.net/detail/BIM-1112791
American Medical Association (AMA)
Fang, Huiqing& Qi, Zhaohui. A Hybrid Interpolation Method for Geometric Nonlinear Spatial Beam Elements with Explicit Nodal Force. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1112791
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112791