Can I read Co-ordinate Transformations For Second Order Systems. Part Ii: Elementary Structure-preserving Transformations on EtoBox?

Co-ordinate Transformations For Second Order Systems. Part Ii: Elementary Structure-preserving Transformations by S.D. GARVEY; M.I. FRISWELL; U. PRELLS is a Engineering article available to read on EtoBox.

What is Co-ordinate Transformations For Second Order Systems. Part Ii: Elementary Structure-preserving Transformations about?

It has been shown in a previous paper that there is a real-valued transformation from the general N-degree-of-freedom second order system to a second order system characterized by diagonal matrices. An immediate extension of this fact is that for any second order system, there is a set of real-valued transformations (the structure-preserving transformations) which transform this system to a different second order system having identical characteristic behaviour. There are several possible reasons why it may be very useful to achieve a particular structure in the transformed system. It is obvious that a diagonal structure is extremely useful and a method has been devised for determining the diagonalizing transformation from the solution of the usual (complex) eigenvalueeigenvector problem. This paper begins by outlining the usefulness of some other structures. Then it defines a class of elementary structure-preserving co-ordinate transformations that transform from one N-degree-of-freedom second order system to another. The term elementary is applied because any one of these transformations is the minimum-rank modification of the identity transformation. The changes occurring in the

Who reads Co-ordinate Transformations For Second Order Systems. Part Ii: Elementary Structure-preserving Transformations?

Author

S.D. GARVEY; M.I. FRISWELL; U. PRELLS

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-460X)

Published

2002

Language

EN

Field

Engineering (Physical Sciences)