Journal
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
Volume 58, Issue -, Pages 112-130Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.euromechsol.2016.01.010
Keywords
Elastodynamics; Quadrilateral element; Vibration
Categories
Funding
- Japan Society for the Promotion of Sciences (JSPS) [26-04055, P14055]
- National Natural Science Foundation of China [51208453]
- US Office of Naval Research grant [N00014-11-1-0594]
- Grants-in-Aid for Scientific Research [14F04055] Funding Source: KAKEN
Ask authors/readers for more resources
The recently developed consecutive-interpolation procedure (CIP) based 4-node quadrilateral element (CQ4) is used to study free and forced 2-dimensional vibrations of elastic and piezoelectric structures of complex geometries. For some of these problems results have also been computed with the standard quadrilateral element under the constraint that the two approaches have the same number of degrees of freedom. In each case it is found that the numerical solution using the CQ4 element has better accuracy than that found with the standard quadrilateral element, and these solutions agree well with results available in the literature. The main difference between the CIP basis functions and those for the traditional 4-node quadrilateral element is that the former incorporate both nodal values and averaged gradients of the trial solution at the nodes and the latter only the nodal values. However, for both sets of basis functions only nodal values appear as unknowns in the matrix formulation of the problem. (C) 2016 Elsevier Masson SAS. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available