Application of Adomian method on the solution of wave propagation in a linear random non-homogeneous viscoelastic semi-infinite rod

• Autorzy: Ray S. S. , Bera R. K.
• Języki publikacji: EN

Abstrakty

EN

The aim of the present problem is to investigate the efficiency of the method of Adomian for the solution of non-linear and complicated differential equation in a random medium. Here the problem is connected with the investigation of the mean and variance of the displacement distribution in a thin linear random non-homogeneous Biot type viscoelastic semi-infinite rod, due to general time-dependent displacement input at the rod. A truncated series solution of the wave problem following the method of Adomian after using the Laplace transform is obtained for small random variations in viscoelastic properties. Three specific cases concerning the probability measure as a function of the continuous type of random variable have been discussed.

Słowa kluczowe

EN

random; viscoelastic; non-homogeneous; Adomian method

PL

materiałoznawstwo; lepkosprężystość; metoda Adomiana

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2005
• Tom: Vol. 10, no 1
• Strony: 133--143
• Opis fizyczny: Bibliogr. 9 poz., wykr.

Twórcy

autor

Ray S. S.

• B. P. Poddar Institute of Management and Technology Poddar Vihar, 137, V.I.P. Road, Kolkata- 700052, INDIA

autor

Bera R. K.

• Technical Teachers' Training Institute Block-FC, Sector- III, Salt Lake, Kolkata- 700106, INDIA

Bibliografia

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• [6] Roychaudhri S.K. and Banerjee S. (1993): Note on the elastic wave propagation in elastic bars of finite length with randomly and linearly varying Young's modulus. - Indian J. of Pure and Appl. Math., vo1.24, No.1, pp.69-75.
• [7] Roychaudhri S.K. and Sain G.D. (1984): A note on the elastic wave propagation in a semi-infinite elastic rod of randomly varying cross-section. - Indian J. Theoretical Physics, vo1.32, No.3, pp.219-228.
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