scholarly journals Discussion: “A Method for Reducing the Number of Degrees of Freedom in Mathematical Models of Damped Linear Dynamic Systems” (Staffeld, S. E., 1962, ASME J. Eng. Ind., 84, pp. 418–421)

1962 ◽  
Vol 84 (4) ◽  
pp. 421-422
Author(s):  
E. H. Stepp
Keyword(s):  
Mathematical Models ◽  
Dynamic Systems ◽  
Degrees Of Freedom ◽  
Linear Dynamic Systems ◽  
Linear Dynamic

Minimum-Order Mathematical Models of Discrete Linear Dynamic Systems

1972 ◽  
Vol 94 (2) ◽  
pp. 139-146 ◽  
Author(s):  
A. G. Behring ◽  
V. J. Flanigan
Keyword(s):  
Mathematical Models ◽  
Discrete Time ◽  
Dynamic Systems ◽  
Input Output ◽  
Output Data ◽  
Minimum Order ◽  
Linear Dynamic Systems ◽  
Linear Dynamic ◽  
Common Problems ◽  
Time Invariant

An orthonormal filter is used to obtain minimum-order, mathematical models of linear, multivariable, discrete, time-invariant systems from input/output data. Some common problems associated with obtaining such descriptions are considered, including the problem of noise-corrupted observations.

A Method for Reducing the Number of Degrees of Freedom in Mathematical Models of Damped Linear Dynamic Systems

1962 ◽  
Vol 84 (4) ◽  
pp. 418-421 ◽  
Author(s):  
S. E. Staffeld
Keyword(s):  
Dynamic Systems ◽  
Degrees Of Freedom ◽  
Equations Of Motion ◽  
Original System ◽  
Linear Dynamic Systems ◽  
Linear Dynamic ◽  
Limited Frequency ◽  
Damped Systems ◽  
Complex Coefficients ◽  
Better Than

A method is given for systematically operating on the equations of motion of a linear dynamic system to produce the equations of a new system of many fewer degrees of freedom. This reduced system has a multiterminal response as close as desired to the original system in a limited frequency range. The result will always be better than that obtained with the normal mode approach and application to damped systems does not result in complex coefficients.

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