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S.B. Exact analytical solution on
finite onedimensional elastic lumpedparameters line vibration. Materials,
Technologies, Tools. The Journal of National Academy of Sciences of Belarus. 4 (1999),
4, 514 (Russian) 2.Karavashkin, S.B. Exact analytical solution on infinite
onedimensional elastic lumpedparameters line vibration. Materials, Technologies,
Tools. The Journal of National Academy of Sciences of Belarus. 4 (1999), 3, 1523
(Russian) 3.Karavashkin, S.B. Peculiarities of inclined force action upon
onedimensional homogeneous elastic lumped line. arXiv, (Los Alamos) #
mathph/0006028 4.Magnus, K. Vibrations. Introduction to the vibration systems
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Boston, 1963). 11. Basic systems in the vibration theory
problems. Naukova Dumka, Kyev, 1973, 208 pp. (Russian) 12. Gantmakher, F.R. and Krain, M.G. Oscillative
matrixes and nuclei and small oscillations of mechanical systems. GITTL P.H., Moscow
– Leningrad, 1950, 354 pp. (Russian). 13. Hellinger, E. And Toeplitz, O. Integralgleichungen
und Gleichungen mit Unendlichvielen Unbekannten. Verlag von Teubner, Leipzig und
Berlin, 1928 (German). 14. Pain, H.J. The physics of vibrations and
waves. Mir , Moscow, 1979, 389 pp. (Russian; from edition: Pain, H.J. The physics
of vibrations and waves. John Wiley and Sons, Ltd., London – New York –
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Metallurgia, Moscow, 1972, 488 pp. (Russian; from edition: Blakemore, J.S. Solid state
physics. W.B. Saunders Company, Philadelphia – London – Toronto, 1970) 16. Biceno, K. and Grammel, R. The
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of complex continuosdiscrete systems. Naukova Dumka, Kyev, 1981, 270 pp. (Russian) 20. Volkenshtein, M.V., Eliashkevitch, M.A. and
Stepanov B.I. Molecules oscillations, vol. 1: Geometry and mechanics of molecules
oscillations. The State Publishing of Technical and Theoretical Literature, Moscow –
Leningrad, 1949, 600 pp. (Russian) 21. Slater, J.C. Insulators, semiconductors
and metals. Mir, Moscow, 1969, 647 pp. (Russian; from edition: Slater, J.C.
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theory of lattice. The Principal Editorial for Technical and Theoretical Literature,
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Sirnikov, Yu.P. Foundations of molecular acoustics. Nauka, Moscow, 1964, 514 pp.
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vibrations. Mashgiz, Moscow, 1963, 354 pp. (Russian) 27. Atkinson, F.V. Discrete and continuous
boundary problems. Mir, Moscow, 1968, 750 pp. (Russian; from edition: Atkinson, F.V. Discrete
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theory of dynamical systems. Mir, Moscow, 1986, 302 pp. (Russian; from edition: J.
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theory of nonlinear differential equations. Nauka, Moscow, 1974, 318 pp. (Russian;
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Kyev, 1983, 215 pp. (Russian) 31. Cherepennikov, V.B. Functional
parameters method in the ordinary differential equations theory. Nauka, Novosibirsk,
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in nonlinear systems. Nauka, Moscow, 1979, 320 pp. (Russian; from edition:
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New York – Heidelberg – Berlin, 1972) 33. Dymentberg, M.F. Nonlinear stochastic
problems of mechanical vibrations. Nauka, Moscow, 1980, 368 pp. (Russian) 34. Banerjee, P.K. and Butterfield, R. Boundary
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1935, 576 pp. (Russian, from edition: Haug, E. Traite de geologie. Vol. 1. Les phenomenes
geologiques. Paris, Librarie Armand Colin) 40. Muller, L. Engineering geology. The
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Felsbau. Erster Band, Theoretischer Teel, Ferdinand Enke Verlag, Stuttgart, 1963) 41. Gardner, M. F. and Barns, J. L. Transients
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vol.1: Lumpedconstant systems. John Wiley & Sons Inc., NY, and Chapman & Hall
ltd, London, 1942) 42. Karplus, W. J. Analog Simulation
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lumpedparameters lines calculation on the basis of exact analytical solutions for
mechanical elastic lines. –Transactions of international conference under
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Russia), vol.1, p.154. 47. Karavashkin, S.B. Some peculiarities of forced vibrations
modelling in homogeneous elastic lumpedparameters lines. Materials, Technologies,
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(Russian) 48. Karavashkin, S.B. and Karavashkina, O.N.
Some
features of vibrations in homogeneous 1d resistant elastic lumped line. SELF
Transactions, 2 (2002), 1, pp.17 – 34 49. Karavashkin, S.B. and Karavashkina, O.N.
The features of
oscillation pattern in mismatched finite electric ladder filters. SELF
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resonance vibration systems calculation. SELF Transactions, 2 (2002), 1,
pp.48 – 59


Proposal 

State
of the art 

The
main results of our method in brief 

Applications
to the mechanics, acoustics and geophysics 

Applications
to the mismatched ladder filters, transmission lines and networks 

References of this page 