A New Rod Eigenelement and Its Application to Structural Static and Dynamic Analysis

Yufeng Xing () and Yang Yang
Additional contact information
Yufeng Xing: Beijing University of Aeronautics and Astronautics, The Solid Mechanics Research Center
Yang Yang: Beijing University of Aeronautics and Astronautics, The Solid Mechanics Research Center

A chapter in Computational Mechanics, 2007, pp 271-271 from Springer

Abstract: Abstract The eigenelement method is proposed by Xing Yufeng and Tian Jinmei recently. This method can be used to deal with the macroscopic properties such as frequencies and elastic parameters of composites. Compared to conventional homogenization method, the classic eigenelement method calculates the global stiffness of unit cell directly, instead the homogeneous modules. The eigenelement method is more precise than the conventional homogenization method with the same number of elements, and the amount of computational work reduces greatly compared with the ordinary finite element method with the same precision. In order to calculate microscopic properties such stresses more precisely, a new eigenelement is proposed based on the variational principle and structural matrix eigenvector expansions, in which the eigen-shape functions are in zigzag form, then the discontinuous of materials and geometries is allowed in the eigenelement. Taking the composite rod, the new eigenelement is derived in details. In order to evaluate the new proposed eigenelement, the displacements, stresses and inherent frequencies are computed by using the eigenelement method, ordinary finite element method, the classic eigenelement method and conventional homogenization method respectively. The comparison among the results by different methods, show that the new eigenelement method is more precise than the classic eigenelement method and conventional homogenization method with the same number of elements. The larger the difference of parameters for each subelement in eigenelement is, the larger the advantages of the eigenelement.

Date: 2007
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75999-7_71

Ordering information: This item can be ordered from
http://www.springer.com/9783540759997

DOI: 10.1007/978-3-540-75999-7_71

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().