Bounds analysis of a beam based on the convex model of uncertain foundation

Journal of Sound and Vibration

Volumn 212, Issue 3, 1998, Pages 547-557

  Fryba L ^a   Yoshikawa, N ^b  

^a INSTITUTE OF THEORETICAL AND APPLIED MECHANICS   (Czech Republic)

^b INSTITUTE OF INDUSTRIAL SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039984401     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1482     Document Type: Article

References (12)

1. V. V. BOLOTIN 1982 Application of the Theory of Probability and of the Theory of Reliability to the Analysis of Structures (in Russian). Moscow: Strojizdat. See section 2-1.
2. L. FRÝBA, S. NAKAGIRI and N. YOSHIKAWA 1993 Journal of Sound and Vibration 163, 31-45. Stochastic finite elements for a beam on a random foundation with uncertain damping under a moving force.
3. R. N. IYENGAR and O. R. JAISWAL 1995 Solid Mechanics and Its Applications 47, Proceedings of the IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics (A. Naess and S. Krenk, editors). 213-224. Dordecht: Kluwer Academic Publishers. Stochastic response of irregular tracks under moving vehicles.
4. Y. K. LIN and G. Q. CAI 1995 Probabilistic Structural Dynamics. Singapore: McGraw-Hill.
5. L. FRÝBA 1972 Vibration of Solids and Structures Under Moving Loads. Prague: Academia/Groningen: Noordhoff International Publishing.
6. Y. BEN-HAIM and I. ELISHAKOFF 1990 Convex Models of Uncertainty in Applied Mechanics. New York: Elsevier.
7. H. E. LINDBERG 1992 ASME Journal of Applied Mechanics 59, 929-936. An evaluation of convex modeling for multimode dynamic buckling.
8. C. P. PANTELIDES 1995 Proceedings of the American Society of Civil Engineers 121, 837-844. Buckling of elastic columns using convex model of uncertain spring.
9. H. U. KOYLUOGLU, A. S. CAKMAK and S. R. K. NIELSEN 1995 Proceedings of the American Society of Civil Engineers 121, 1149-1157. Interval algebra to deal with pattern loading and structural uncertainties.
10. S. NAKAGIRI and N. YOSHIKAWA 1995 Probabilistic Mechanics & Structural Reliability, Proceedings of the Seventh Specialty Conference, Engineering Mechanics and Structural Divs./ASCE, 278-281. Finite element interval estimation by convex model.
11. Y. BEN-HAIM 1993 ASME Journal of Applied Mechanics 60, 683-688. Convex models of uncertainty in radial pulse buckling of shells.
12. R. L. FOX 1965 American Institute of Aeronautics and Astronautics Journal 3, 1517-1518. Constraint surface normals for structural synthesis.