Dynamic response of a bar embedded in semi-infinite medium: stochastic approach

Acta Mechanica

Volumn 143, Issue 3, 2000, Pages 141-153

  Hryniewicz, Zdzislaw ^a  

^a KOSZALIN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELASTIC MODULI; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; STIFFNESS;

ADOMIAN DECOMPOSITION METHOD; AVERAGE DISPLACEMENT; DYNAMIC STIFFNESS COEFFICIENT; RESIDUE THEOREM; SEMI INFINITE MEDIUM; VARIANCE FUNCTION;

DYNAMIC RESPONSE;

EID: 0033652712     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01170944     Document Type: Article

References (14)

1. Wolf, J. P.: Dynamic soil-structure interaction. N. J. Englewood Cliffs: Prentice Hall 1985.
2. Adomian, G.: Stochastic systems. New York: Academic Press 1983.
3. Soong, T. T.: Random differential equations in science and engineering. New York: Academic Press 1973.
4. Belyaev, A. K.: Comparative study of various approaches to stochastic elastic wave propagation. Acta Mech. 125, 3-13 (1997).
5. Belyaev, A. K., Ziegler, F.: Uniaxial waves in randomly heterogeneous elastic media. Prob. Engng. Mech. 13(1), 27-38 (1998).
6. Sabina, F. J., Willis, J. R.: A simple self-consistent analysis of wave propagation in particulate composites. Wave Motion 10, 127-142 (1988).
7. Naprstek, J.: Propagation of longitudinal stochastic waves in bars with random parameters. In: Structural Dynamics, Proc. EURODYN '96 (Augusti, G. et al., ed.), pp. 51-60. Rotterdam: Balkema 1996.
8. Kanaun, S. K.: Propagation of scalar waves through matrix composite materials: effective medium approach. Eur. J. Mech., A/Solids 16 (6), 1041-1066 (1997).
9. Baker, R., Zeitoun, D. G.: Application of Adomian's decomposition procedure to the analysis of a beam on random Winkler support. Int. J. Solids Struct. 26 (2), 217-235 (1990).
10. Hryniewicz, Z., Esat, I. I.: Insight to cutoff frequency of shear beam on random foundation. PD-Vol. 70, Structural Dynamics and Vibration. Proc. ETCE '95 (Ovunc, B. A. et al., ed.), pp. 87-95. Houston: ASME 1995.
11. Hryniewicz, Z.: On the range of applicability of Bourret approximation. Appl. Math. Model. 21, 247-253 (1997).
12. Elishakoff, I.: Probabilistic methods in the theory of structures. New York: Wiley 1983.
13. Broberg, H., Westlund, R.: Creep rupture of specimens with random material properties. Int. J. Solids Struct. 14, 959-970 (1978).
14. Vanmarcke, E.: Random fields. Analysis and synthesis. London, MIT-Press 1988.