Abstract
A SBFEM (scaled boundary finite element method) based approach is developed for numerical analysis of 2-D elastic systems with rotationally periodic (or cyclic) symmetry under arbitrary load conditions. It is shown that the coefficient matrices of the global SBFEM equations for the rotationally periodic system are block-circulant when a symmetry-adapted reference co-ordinate system is used. Furthermore, both the eigenproblem and stiffness matrix equation are partitioned into a series of independent sub-problems. By solving these sub-problems via a partitioning algorithm, solution of the whole problem can be obtained at low computing expense. Two numerical examples are provided to illustrate the efficiency of the proposed approach.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
