Premium
On a combined sturm sequence and inverse iteration technique for eigenproblem solution of spinning structures
Author(s) -
Gupta K. K.
Publication year - 1973
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620070409
Subject(s) - discretization , eigenvalues and eigenvectors , computation , spinning , sequence (biology) , algorithm , inverse , fortran , finite element method , computer program , computer science , matrix (chemical analysis) , mathematics , computational science , mathematical analysis , geometry , engineering , structural engineering , mechanical engineering , physics , quantum mechanics , biology , composite material , genetics , operating system , materials science
This paper describes an efficient numerical algorithm for the accurate computation of specific eigenvalues and related vectors of spinning structures. The Sturm sequence technique is first applied to isolate the required roots, which are then individually located by an inverse iteration technique adopting an efficient matrix formulation specially developed for this purpose. The associated digital computer procedure is numerically stable, which also fully exploits the banded form of relevant matrices. Furthermore, the algorithm proves to be much faster than other related existing procedures. A computer program, based on the current algorithm, has been developed in FORTRAN V for the JPL UNIVAC 1108 computer. Numerical results for representative structures, computed by the program, are also presented in detail. Extensive applications of the program are envisaged in the attitude control of spacecraft and in the natural frequency analysis of spinning structures, discretized by the finite element method.