Equivalence Transformations

2019 ◽  
pp. 63-71
Author(s):  
G. E. Hughes ◽  
D. G. Londey
Keyword(s):  
Equivalence Transformations

Analysis of Linear Nonconservative Vibrations

1995 ◽  
Vol 62 (3) ◽  
pp. 685-691 ◽  
Author(s):  
F. Ma ◽  
T. K. Caughey
Keyword(s):  
Modal Analysis ◽  
Equations Of Motion ◽  
Substantial Reduction ◽  
Computational Effort ◽  
Equivalence Transformations ◽  
State Space Approach ◽  
Nonconservative System ◽  
First Order ◽  
Physical Insight ◽  
Space Approach

The coefficients of a linear nonconservative system are arbitrary matrices lacking the usual properties of symmetry and definiteness. Classical modal analysis is extended in this paper so as to apply to systems with nonsymmetric coefficients. The extension utilizes equivalence transformations and does not require conversion of the equations of motion to first-order forms. Compared with the state-space approach, the generalized modal analysis can offer substantial reduction in computational effort and ample physical insight.

scholarly journals Equivalence transformations in the study of integrability

2014 ◽  
Vol 89 (3) ◽  
pp. 038003 ◽  
Author(s):  
Olena O Vaneeva ◽  
Roman O Popovych ◽  
Christodoulos Sophocleous
Keyword(s):  
Equivalence Transformations

Equivalence Transformations of Rational Matrices

1992 ◽  
pp. 40-43
Author(s):  
N.P. Karampetakis ◽  
A.C. Pugh ◽  
A.I.G. Vardulakis
Keyword(s):  
Equivalence Transformations
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