References
- Alefeld, G. and Herzberger, J. (1983), Introduction to interval computations, Academic Press, New York.
- Ben-Haim, Y. (2001, 2006), Infomation-gap decision theory: Decisions under severe uncertainty, Adacemic Press, London.
- Ben-Haim, Y. and Elishakoff, I. (1990), Convex models of uncertainty in applied mechanics, Elsevier, New York.
- Chen, S.H., Lian, H. and Yang, X. (2003), "Interval eigenvalue analysis for structures with interval parameters", Finite Elem. Anal. Des., 39(5-6), 419-431. https://doi.org/10.1016/S0168-874X(02)00082-3
- Chen, S.H. and Wu, J. (2004), "Interval optimization of dynamic response for structures with interval parameters", Comput. Struct., 82(1), 1-11. https://doi.org/10.1016/j.compstruc.2003.09.001
- Chen, S.H., Ma, L., Meng, G.W. and Guo, R. (2009), "An efficient method for evaluating the natural frequency of structures with uncertain-but-bounded parameters", Comput. Struct., 87(9-10), 582-590. https://doi.org/10.1016/j.compstruc.2009.02.009
- Dong, W. and Shah, H. (1987), "Vertex method for computing functions of fuzzy variables", Fuzzy Set. Syst., 24(1), 65-78. https://doi.org/10.1016/0165-0114(87)90114-X
- Elishakoff, I. and Ohsaki, M. (2010), Optimization and anti-optimization of structures under uncertainty, Imperial College Press, London.
- Fujita, K., Moustafa, A. and Takewaki, I. (2010a), "Optimal placement of viscoelastic dampers and supporting members under variable critical excitations", Earthq. Struct., 1(1), 43-67. https://doi.org/10.12989/eas.2010.1.1.043
- Fujita, K., Yamamoto, K. and Takewaki, I, (2010b), "An evolutionary algorithm for optimal damper placement to minimize intestorey-drift transfer function", Earthq. Struct., 1(3), 289-306. https://doi.org/10.12989/eas.2010.1.3.289
- Fujita, K. and Takewaki, I, (2011), "An efficient methodology for robustness evaluation by advanced interval analysis using updated second-order Taylor series expansion", Eng. Struct., 33(12), 3299-3310. https://doi.org/10.1016/j.engstruct.2011.08.029
- Kanno, Y. and Takewaki, I. (2006), "Sequential semidefinite program for maximum robustness design of structures under load uncertainties", J. Optimiz. Theory App., 130(2), 265-287. https://doi.org/10.1007/s10957-006-9102-z
- Koyluoglu, H.U. and Elishakoff, I. (1998), "A comparison of stochastic and interval finite elements applied to shear frames with uncertain stiffness properties", Comput. Struct., 67(1-3), 91-98. https://doi.org/10.1016/S0045-7949(97)00160-0
- Moore, R.E. (1966), "Interval analysis, Englewood Cliffs", New Jersey: Prentice-Hall.
- Qiu, Z.P. (2003), "Comparison of static response of structures using convex models and interval analysis method", Int. J. Numer. Meth. Eng., 56(12), 1735-1753. https://doi.org/10.1002/nme.636
- Takewaki, I. (2006), Critical excitation methods in earthquake engineering, Elsevier, London.
- Takewaki, I. and Ben-Haim, Y. (2005), "Info-gap robust design with load and model uncertainties", J. Sound Vib., 288(3), 551-570. https://doi.org/10.1016/j.jsv.2005.07.005
- Takewaki, I. and Ben-Haim, Y. (2008), Info-gap robust design of passively controlled structures with load and model uncertainties, Chapter 19 in "Structural design optimization considering uncertainties" (eds.) Y.Tsompanakis, N.Lagaros & M.Papadrakakis, Taylor & Francis, 531-548.
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