Eigen-analysis of cumulative damage

Structural Safety

Volumn 22, Issue 2, 2000, Pages 189-202

  Gusella, Vittorio ^a  

^a UNIVERSITY OF PERUGIA   (Italy)

Author keywords

Cumulative damage; Markov chains; Structural safety

Indexed keywords

COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; ESTIMATION; MARKOV PROCESSES; MATRIX ALGEBRA; PROBABILITY; SAFETY FACTOR; STRUCTURAL LOADS;

CUMULATIVE DAMAGE; JORDAN CANONICAL FORM; STRUCTURAL SAFETY; TRANSITION PROBABILITY MATRIX;

STRUCTURAL ANALYSIS;

DAMAGE MECHANICS; LOADING; MARKOV CHAIN; STRUCTURAL RESPONSE;

EID: 0034048557     PISSN: 01674730     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-4730(00)00008-4     Document Type: Article

References (17)

1. Miner M.A. Cumulative damage in fatigue. Journal of Applied Mechanics ASME. 12:1945;159-164.
2. Newmark N.M., Rosenblueth E. Fundamentals of earthquake engineering. 1974;Prentice Hall, Englewood Cliffs, NJ.
3. Banon H., Veneziano D. Seismic safety of reinforced concrete members and structures. Earthquake Engineering and Structural Dynamics. 10:1982;179-193.
4. Krawinkler H., Zohrei M. Cumulative damage in steel structures subjected to earthquake ground motion. Computers & Structures. 16(1-4):1983;531-541.
5. Park Y.J., Ang A.H.S. Mechanistic seismic damage model for reinforced concrete. Journal of Structural Engineering ASCE. 111(4):1985;722-739.
6. Soong T.T., Grigoriu M. Random vibration of mechanical and structural systems. 1992;Prentice Hall, Englewood Cliffs, NJ.
7. Park Y.J., Ang A.H.S., Wen Y.K. Seismic damage of reinforced concrete buildings. Journal of Structural Engineering ASCE. 111(4):1985;740-756.
8. Gusella V. A safety estimation method for structures with cumulative damage. Journal of Engineering Mechanics ASCE. 124(11):1998;1200-1209.
9. Lomnitz C. Poisson process in earthquakes studies. Bull. Seismol. Soc. Am. 63(2):1973;735.
10. Gusella V. Estimation of extreme winds from short-term records. Journal of Structural Engineering ASCE. 117(2):1991;375-390.
11. Gusella V. Structural failure and stochastic discrete process of random events. An application to seismic vulnerability analysis of an historic building Structural Safety. 11:1991;13-28.
12. Bogdanoff J.L., Kozin F. Probabilistic models of cumulative damage. 1985;John Wiley & Sons, New York.
13. Golub G.H., Van Loan C.F. Matrix computations. 1989;The Johns Hopkins University Press, Baltimore.
14. Birkhoff G., MacLane S. A survey of modern algebra. 1977;Macmillan Publishing Co Inc, New York.
15. Gantmacher F.R. The theory of matrices, vol. I. 1989;Chelsea PC, New York.
16. Lipschutz S. Linear algebra. In: Schaum's outline series. New York: McGraw-Hill, 1968.
17. Golub G.H., Wilkinson J.H. Ill-conditioned eigensystems and computation of Jordan canonical form. SIAM Review. 18(4):1976;578-619.