Analysis of bending waves in beam on viscoelastic random foundation using wavelet technique

International Journal of Solids and Structures

Volumn 43, Issue 22-23, 2006, Pages 6965-6977

  Koziol, Piotr ^a   Hryniewicz, Zdzislaw ^a  

^a KOSZALIN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Bending waves; Stochastic models; Wavelet theory

Indexed keywords

APPROXIMATION THEORY; BENDING (DEFORMATION); DIFFERENTIAL EQUATIONS; ELASTIC WAVES; PARAMETER ESTIMATION; RANDOM PROCESSES; VISCOELASTICITY; WAVELET TRANSFORMS;

BENDING WAVES; BOURRET'S APPROXIMATION; STOCHASTIC MODELS; WAVELET THEORY;

BEAMS AND GIRDERS;

EID: 33748986204     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.02.018     Document Type: Article

References (18)

1. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions (1972), Dover, New York
2. Adomian G. Stochastic Systems (1983), Academic Press, New York
3. Belyaev A.K., and Ziegler F. Uniaxial waves in randomly heterogeneous elastic media. Problems of Engineering Mechanics 13 1 (1998) 27-38
4. Beylkin G., Coifman R., and Rokhlin V. Fast wavelet transforms and numerical algorithms. Communications on Pure and Applied Mathematics 44 (1991) 141-183
5. Brekhovskikh L., and Goncharov V. Mechanics of Continua and Wave Dynamics (1985), Springer-Verlag, Heidelberg
6. Daubechies I. Orthonormal bases of compactly supported wavelets II. Variations on a theme. SIAM Journal on Mathematical Analysis 24 2 (1993) 499-519
7. Elishakoff I. Probabilistic Methods in the Theory of Structures (1983), Wiley, New York
8. Greenberg M.D. Application of Green's Functions in Science and Engineering (1971), Prentice-Hall, Englewood Cliffs, NJ
9. Heckman G., and Schlichtkrull H. Harmonic Analysis and Special Functions on Symmetric Spaces (1994), Academic Press, San Diego
10. Hong D., Wang J., and Gardner R. Real Analysis with an Introduction to Wavelets and Applications (2005), Elsevier, Oxford
11. Hryniewicz Z. On the range of applicability of Bourret approximation. Applied Mathematical Modelling vol. 21 (1997), Elsevier, New York 247-253
12. Hryniewicz Z. Dynamic analysis of system with deterministic and stochastic viscoelastic dampers. Journal of Sound and Vibration 278 (2004) 1013-1023
13. Jaiswal O.R., and Iyengar R.N. Dynamic response of a beam on elastic foundation of finite depth under a moving force. Acta Mechanica 96 (1993) 67-83
14. Meyer Y. Wavelets and Operators (1992), Cambridge University Press, Cambridge
15. Sobczyk K. Stochastic Differential Equations with Applications to Physics and Engineering (1991), Kluwer Academic Publishers, Dordrecht
16. Soong T.T. Random Differential Equations in Science and Engineering (1973), Academic Press, New York
17. Wang J., Zhou Y., and Gao H. Computation of the Laplace inverse transform by application of the wavelet theory. Communications in Numerical Methods in Engineering 19 (2003) 959-975
18. Wolf J.P. Dynamic Soil-Structure Interaction (1985), Prentice-Hall, Englewood Cliffs, NJ