Abstract

A general, perturbation theory for the branching analysis of perfect and imperfect discrete conservative structural systems is presented. Such systems are best analysed without resort to a scheme of diagonalization, and the absence of such a scheme distinguishes the present development from an earlier study by the author. The tensor notation and the system of sliding axes employed in that study are however of considerable analytical value and are therefore retained. The theory is presented for both a general and a specialized class of system and some general features of the perturbation scheme are established. For imperfect systems the concept of a spiralling eigenvector is introduced to yield the equations of imperfection-sensitivity explicitly in terms of the post-buckling derivatives of the perfect system and in a form that can be directly employed in numerical analysis.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

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.