Premium
Limitations for the use of an exact formula for receptance reanalysis
Author(s) -
Brandon John A.
Publication year - 1984
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.1620200903
Subject(s) - rank (graph theory) , simple (philosophy) , matrix (chemical analysis) , mathematics , order (exchange) , rank condition , system of linear equations , calculus (dental) , mathematical analysis , combinatorics , philosophy , materials science , epistemology , finance , controllability , economics , composite material , medicine , dentistry
The receptance matrix of a system after a modification of rank k < n to system matrices (of order n ) may be derived from the receptance matrix of the original system by solution of a system of linear equations of order k . In this paper it is shown that it is desirable to impose a much more conservative condition on the system of equations than simple solvability. The possible consequences of breaching this conservative condition are developed and discussed.