Home > Research > Publications & Outputs > A successive bounding method to find the exact ...

Associated organisational unit

View graph of relations

A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations

Research output: Contribution to Journal/MagazineJournal articlepeer-review

<mark>Journal publication date</mark>30/03/1995
<mark>Journal</mark>International Journal for Numerical Methods in Engineering
Issue number6
Number of pages11
Pages (from-to)1057-1067
Publication StatusPublished
<mark>Original language</mark>English


An alternative algorithm for finding exact natural frequencies or buckling loads from the transcendental, e.g. dynamic, stiffness matrix method is presented in this paper and evaluated by using the plate assembly testbed program VICONOPT. The method is based on the bounding properties of the eigenvalues provided by either linear or quadratic matrix pencils on the exact solutions of the transcendental eigenvalue problem. The procedure presented has five stages, including two accuracy checking stages which prevent unnecessary calculations. Numerical tests on buckling of general anisotropic plate assemblies show that significant time savings can be achieved compared with an earlier multiple determinant parabolic interpolation method.