Infinite product expansions for the transcendental terms in the transfer functions for linear distributed systems are developed. Simulation of the dynamic re sponse of such systems is indicated, using the product expansion. Comparisons are made between the classi cal eigenvalue and product expansion approximations. It is concluded that the product expansion is an ex tremum transient-amplitude-preserving approximation based on the correct characteristic roots.
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References
1.
2.
Jeffrey H.Jeffrey B.S.Methods of mathematical physicsCambridge University Press19502nd edition Cambridge pp 383-386
3.
Goodson R.E.Hydraulic lines dynamics MS thesis Purdue University1961
4.
Goodson R.E.Viscous and boundary effects in fluid lines PhD thesis Purdue University1963
5.
Oldenburger R.Goodson R.E.Simplification of hydraulic line dynamics by the use of infinite productsJournal of Basic Engineering series D ASME Transactions March 1964
