Sequential Hybrid Inverse Mapping for State-Specified Design of Frames
Publication: Journal of Structural Engineering
Volume 132, Issue 9
Abstract
A new method via inverse problem formulation including frame stability ( and effects) is presented for state-specified design of an arbitrary planar elastic frame. The well-known governing equations for second-order analysis with respect to unknown displacements for a set of prescribed member stiffnesses of a frame are here regarded as those with respect to unknown member stiffnesses for a set of prescribed member-end strains and displacements. A method of sequential mapping for such a “direct design”problem is generalized for a hybrid inverse problem of an arbitrary plane frame such that a combined set of unknown member stiffnesses and unknown member-end strains (or displacements) is to be found for a set of prescribed member-end strains (or displacements) and prescribed member stiffnesses. The concept of “state-design vector” is shown to be useful for such a general problem of hybrid-inverse mapping. A general design program has been developed on the basis of the proposed algorithm on the first-order equations. Four design examples not only demonstrate the program performance but also disclose and effects on the design. A guideline is described for practical application in compliance with an allowable stress design code.
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References
AISC. (1989). Specification for structural steel buildings—Allowable stress design, plastic design, and commentary on the AISC specification, Chicago.
Architectural Institute of Japan (AIJ). (1996). Recommendations for stability design of steel structures, Japan (in Japanese).
British Standard Institution (BSI). (1985). “Structural use of steelwork in building.” BS 5950, Part 1, London.
Chen, W. F., Goto, Y., and Liew, J. Y. R. (1996). Stability design of semi-rigid frames, Wiley, New York.
European Committee for Standardisation (CEN). (1992). “General rules and rules for buildings, (prospective standard for provisional application) Part 1.1.” Eurocode 3: Design of steel structures, Belgium.
Ito, H. (1997). “Strain-constrained stiffness design of building frames via inverse problem formulation with stability consideration.” Dissertation, Kyoto Univ., Kyoto, Japan (in Japanese).
Nakamura et al. (1994). “Stiffness design of plane building frames with given column stiffnesses for specified seismic beam-end strains.” Summaries of the Proc., technical papers of 1994 Meeting of AIJ, Vol. B Structure 1, 1227–1228 (in Japanese).
Nakamura, Tsuneyoshi, and Ito, H. (1997). “Strain-constrained stiffness design via inverse formulation of an elastic frame with small lateral design loads.” J. Struct. Constr. Eng., 497, 81–89 (in Japanese with English summary).
Nakamura, Tsuneyoshi, and Ito, H. (2001). “Inverse design of frames for specified second-order bending strains.” J. Struct. Eng., 127(5), 579–586.
Nakamura, Tsuneyoshi, and Kosaka, I. (1986). “Strain-controlled design of plane elastic building frames subjected to horizontal loads.” J. Struct. Constr. Eng., 363, 1–11 (in Japanese with English summary).
Nakamura, Tsuneyoshi, and Kosaka, I. (1989). “Design of plane building frames for specified fundamental natural period and strain mode.” J. Struct. Eng., 35B, 9–17 (in Japanese).
Nakamura, Tsuneyoshi, and Kosaka, I. (1991). “Earthquake response constrained design of plane frames for specified design strains.” J. Struct. Constr. Eng., 430, 79–89 (in Japanese).
Nakamura, Tsuneyoshi, and Nagase, T. (1976). “Minimum weight design of multistory multispan plane frames subjected to reaction constraints.” J. Struct. Mech., 4, 257–287.
Nakamura, Tsuneyoshi, and Nakamura, Y. (1993). “Stiffness design of 3D-shear buildings for specified seismic drifts.” J. Struct. Eng., 119(1), 50–68.
Nakamura, Tsuneyoshi, and Ohsaki, M. (1988). “Sequential optimal truss generator for frequency ranges.” Comput. Methods Appl. Mech. Eng., 67, 189–209.
Nakamura, Tsuneyoshi, and Takenaka, Y. (1983). “Optimum design of multistory multispan frames for prescribed elastic compliance.” J. Struct. Mech., 11(3), 271–295.
Nakamura, Tsuneyoshi, and Yamane, T. (1986). “Optimum design and earthquake-response constrained design of elastic shear buildings.” Earthquake Eng. Struct. Dyn., 14, 797–815.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 132 • Issue 9 • September 2006
Pages: 1441 - 1450
Copyright
© 2006 ASCE.
History
Received: May 24, 2004
Accepted: Nov 29, 2005
Published online: Sep 1, 2006
Published in print: Sep 2006
Notes
Note. Associate Editor: Vinay Kumar Gupta
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