ISSN:
1573-2754
Keywords:
orthotropic
;
elliptic plate
;
elastic instability
;
critical load
;
bifurcation solution
;
post-buckling behavior
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Mathematics
,
Physics
Notes:
Abstract On the basis of von Kármán equations and using the general bifurcation theory, the elastic instability of an orthotropic elliptic plate whose edge is subjected to a uniform plane compression is discussed. Following the well-known Liapunov-Schmidt process the existance of bifurcation solution at a simple eigenvalue is shown and the asymptotic expression is obtained by means of the perturbation expansion with a small parameter. Finally, by using the finite element method, the critical loads of the plate are computed and the post-buckling behavior is analysed. And also the effect of material and geometric parameters on the stability is studied.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02020398
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