Premium
Development of a block Lanczos algorithm for free vibration analysis of spinning structures
Author(s) -
Gupta K. K.,
Lawson C. L.
Publication year - 1988
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.1620260503
Subject(s) - lanczos resampling , spinning , block (permutation group theory) , computation , lanczos algorithm , algorithm , vibration , computer science , mathematics , engineering , eigenvalues and eigenvectors , mechanical engineering , geometry , physics , quantum mechanics
This paper is concerned with the development of an efficient eigenproblem solution algorithm and an associated computer program for the economical solution of the free vibration problem of complex practical spinning structural systems. Thus, a detailed description of a newly developed block Lanczos procedure is presented in this paper that employs only real numbers in all relevant computations and also fully exploits sparsity of associated matrices. The procedure is capable of computing multiple roots and proves to be most efficient compared to other existing similar techniques.