Application of adomian method on the solution of the elastic wave propagation in elastic bars of finite length with randomly and linearly varying Young's modulus

Applied Mathematics Letters

Volumn 17, Issue 6, 2004, Pages 703-709

  Bhattacharyya, R K ^a   Bera, R K ^b  

^a Technical Teachers' Training Institute ^*  (India)

^b NATIONAL INSTITUTE OF TECHNICAL TEACHERS TRAINING AND RESEARCH   (India)

Author keywords

Adomian method; Random medium; Variabie Young's modulus; Wave propagation

Indexed keywords

BARS (METAL); ELASTIC WAVES; LAPLACE TRANSFORMS; NONLINEAR EQUATIONS; PROBABILITY DISTRIBUTIONS; WAVE PROPAGATION;

ADOMIAN METHOD; COMPLEX EQUATIONS; CONTINUOUS PROBABILITY DISTRIBUTION; DISPLACEMENT DISTRIBUTION; ELASTIC WAVE MOTIONS; RANDOM MEDIUM; RANDOM VARIATION; SERIES SOLUTIONS;

ELASTIC MODULI;

EID: 33750842458     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(04)90108-5     Document Type: Article

References (9)

1. A.N. Dutta, Longitudinal propagation of elastic disturbance for linear vibrations of elastic parameters, Indian J. Theo. Phys. 4, 43-60, (1956).
2. R.Y. Vasudeva and R.K. Bhaskara, Propagation of a pure pulse in a nonhomogeneous elastic rod with varying cross-section, Trans. ASME 45, 942-944, (1978). (Pubitemid 9420410)
3. U.S. Lindholm and K.D. Doshi, Wave propagation in an elastic nonhomogeneous bar of finite length, J. Appl. Mech. 32, 135-142, (1965).
4. J.B. Keller, Wave propagation in random media, Proc. Symp. in Appl. Math. Am. Math. Soc. 13, 227-241, (1960).
5. C. Singh and A. Singh, Wave propagation in a linear random non-homogeneous viscoelastic semi-infinite rod, Indian J. Pure Appl. Math. 11, 1095-1104, (1980).
6. S.K. Roychaudhri and G.D. Sain, Wave propagation in semi-infinite elastic rods in randomly varying crosssection, Indian J. Theor. Phys. 32 (3), (1984).
7. S.K. Roychaudhri, Wave propagation in semi-infinite elastic bars in randomly varying elastic modulus, Trans. ASME 52, 222-225, (1985).
8. S.K. Roychaudhri and S. Banerjee, Note on the elastic wave propagation in elastic bars of finite length with randomly varying Young's modulus, Indian J. Pure Appl. Math. 24 (1), 69-75, (Jan. 1993).
9. G. Adomian, Non-Linear Stochastic System Theory and Application to Physics, Kluwer Academic, The Netherlands, (1989).