Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Probabilistic shear-lag analysis of structures using Systematic RSM

  • Cheng, Jin (Department of Bridge Engineering, Tongji University) ;
  • Cai, C.S. (Department of Civil and Environmental Engineering, Louisiana State University) ;
  • Xiao, Ru-Cheng (Department of Bridge Engineering, Tongji University)
  • Received : 2004.12.07
  • Accepted : 2005.09.02
  • Published : 2005.11.30
⟨ Previous Next ⟩

Abstract

In the shear-lag analysis of structures deterministic procedure is insufficient to provide complete information. Probabilistic analysis is a holistic approach for analyzing shear-lag effects considering uncertainties in structural parameters. This paper proposes an efficient and accurate algorithm to analyze shear-lag effects of structures with parameter uncertainties. The proposed algorithm integrated the advantages of the response surface method (RSM), finite element method (FEM) and Monte Carlo simulation (MCS). Uncertainties in the structural parameters can be taken into account in this algorithm. The algorithm is verified using independently generated finite element data. The proposed algorithm is then used to analyze the shear-lag effects of a simply supported beam with parameter uncertainties. The results show that the proposed algorithm based on the central composite design is the most promising one in view of its accuracy and efficiency. Finally, a parametric study was conducted to investigate the effect of each of the random variables on the statistical moment of structural stress response.

Keywords

Acknowledgement

Supported by : National Nature Science Foundation of China

References

  1. ANSYS (2002), ANSYS, Inc., Canonsburg, PA
  2. Box, GE.P. and Wilson, K.B. (1951), 'On the experimental attainment of optimum conditions', J. of the Royal Statistical Society, Series B, 13
  3. Haldar, Achintya and Mahadevan, Sankaran (2000), Reliability Assessment Using Stochastic Finite Element Analysis, John Wiley & Sons, New York
  4. Kwan, A.K.H. (1996), 'Shear lag in shear/core walls', J. Struct. Eng., 122(9), 1097-1104 https://doi.org/10.1061/(ASCE)0733-9445(1996)122:9(1097)
  5. Lee, S.C., Yoo, C.H. and Yoon, D.Y. (2002), 'Analysis of shear lag anomaly in box girders', J. Struct. Eng., 128(11), 1379-1386 https://doi.org/10.1061/(ASCE)0733-9445(2002)128:11(1379)
  6. Luo, Q.Z. and Li, Q.S. (2000), 'Shear lag of thin-walled curved box girder bridges', J. Eng. Mech., 126(10), 1111-1114 https://doi.org/10.1061/(ASCE)0733-9399(2000)126:10(1111)
  7. Luo, Q.Z., Li, Q.S. and Tang, J. (2002), 'Shear lag in box girder bridges', J. Bridge Eng., 7(5), 308-313 https://doi.org/10.1061/(ASCE)1084-0702(2002)7:5(308)
  8. Melchers, Robert E. (1999), Structural Reliability Analysis and Prediction, John Wiley & Sons, New York
  9. Montgomery, D.C. (1991), Design and Analysis of Experiments, John Wiley & Sons, New York
  10. Myers, R.C. (1971), Response Surface Methodology, Allyn and Bacon, Inc., Boston
  11. Shi, G and Xiong, Y. (2000), 'Probabilistic buckling analysis of fiber metal laminates under shear loading condition', Advances in Engineering Software, 31, 519-527 https://doi.org/10.1016/S0965-9978(00)00013-2
  12. Soares, R.C, Mohamed, A., Venturini, W.S. and Lemaire, M. (2002), 'Reliability analysis of non-linear reinforced concrete frames using the response surface method', Reliability Engineering and System Safety, 75, 1-16 https://doi.org/10.1016/S0951-8320(01)00043-6
  13. Song, Qi-gen and Scordelis, Alexander C (1990), 'Shear-lag analysis of T-, I-, and box beams', J. Struct. Eng., 116(5), 1290-1305 https://doi.org/10.1061/(ASCE)0733-9445(1990)116:5(1290)
  14. Yang, L.F., Leung, A.Y.T. and Li, Q.S. (2001), 'The stochastic finite segment in the analysis of the shear-lag effect on box-girders', Eng. Struct., 23, 1461-1468 https://doi.org/10.1016/S0141-0296(01)00045-1
  15. Yiu, Fang and Zhang, Qilin (2000), 'Stability analysis of steel space structures with system parametric uncertainties', Communications in Numerical Method in Engineering, 16, 267-273 https://doi.org/10.1002/(SICI)1099-0887(200004)16:4<267::AID-CNM331>3.0.CO;2-0

Cited by

  1. Bridge Model Updating Using Response Surface Method and Genetic Algorithm vol.15, pp.5, 2010, https://doi.org/10.1061/(ASCE)BE.1943-5592.0000092
  2. Combined use of SHMS and finite element strain data for assessing the fatigue reliability index of girder components in long-span cable-stayed bridge vol.54, pp.2, 2010, https://doi.org/10.1016/j.tafmec.2010.10.008