A component synthesis method using Lanczos vectors

Conference · Thu Oct 01 04:00:00 EDT 1987

OSTI ID:6357060

Allen, J J

A component synthesis technique has been developed, which uses a combination of constraint modes and fixed interface Lanczos vectors. The sequence of Lanczos vectors is obtained via a recursion equation similar to inverse iteration and mass orthonormalized to the previously derived vectors. The static solution of a problem of interest or a set of random vectors can be used as the initial Lanczos vector in the sequence. The fixed interface Lanczos method produces a statically complete model for a given load, if the static solution is the first vector in the sequence. The subsequent Lanczos vectors, X{sub i}, in the sequence can be interpreted as being generated using the dynamic error, K{sup {minus}1}MX{sub i-1}, of the previous vector. Including constraint modes for the boundary degrees of freedom retains physical degrees of freedom for the boundary, which allows the component to be incorporated into the system by direct matrix assembly. The convergence characteristics of the fixed interface Lanczos method are studied using static and transient analysis. Various criteria are examined for evaluating the convergence. The results of the fixed interface Lanczos method will be compared to the component mode synthesis method developed by Hurty. 13 refs., 7 figs., 4 tabs.

• Research Organization: Sandia National Labs., Albuquerque, NM (USA)
• Sponsoring Organization: DOE/DP
• DOE Contract Number: AC04-76DP00789
• OSTI ID: 6357060
• Report Number(s): SAND-87-1551C; CONF-880220--3; ON: DE88005871
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420000 -- Engineering
99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
CONVERGENCE
EIGENVECTORS
MATHEMATICAL MODELS
MATRICES
MECHANICAL PROPERTIES
STRESSES
TENSORS
VECTORS