Abstract
In his pioneering work W.T. Koiter drew attention to the initial postbuckling behaviour as a means to explain and quantify the discrepancy between the theoretical buckling load of thin shells and their much lower load-carrying capacity observed in reality. That discrepancy is attributed to imperfections of various kinds, and the so-called b-factor resulting from Koiter's theory may be considered a measure of the sensitivity to such imperfections. Following a presentation of the variational problem needed to define the b-factor, and its transformation to algebraic equations, the solution of the latter is discussed in this paper. The crucial problem is the solution of a system of linear equations that is ill conditioned. The difficulty is overcome by utilising the knowledge of several bifurcation loads and the corresponding mode shapes. The method was implemented as a supplement to the computer program BEOS, a finite element based software for buckling of anisotropic plane or curved panels. It admits calculation of the b-factor for a variety of panel configurations, including ones with skew planform and various boundary conditions subjected to uni- or bi-axial compression and shear.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.