Static Interval Optimization for Structures with Interval Parameters and Interval Loading

Article Preview

Abstract:

A static interval optimization method for structures was developed. The matrices of structures with interval parameters are given. Combining the interval extension of functions with the perturbation theory of static analysis, the method for interval static analysis of the structure with interval parameters and interval loading was derived. The Interval optimization problem was transformed into a corresponding deterministic one. Because the mid-values and the uncertainties of the interval parameters can be selected as the design variables, more information of the optimization results can be obtained by the present method than that obtained by the deterministic one. The numerical results show that the present method is valid.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 443-444)

Pages:

738-744

Citation:

Online since:

January 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Adeli H, Cheng NT. Augmented Lagrangian Genetic Algorithm for Structure Optimization. J Aerospace Engng , 1994, 7: 104-118.

Google Scholar

[2] Chen T Y. Optimum Design of Structure with Both Natural Frequency and Frequency Response Constraints, int. Num. Meth. Engng. 1992, 33: 1927-(1940).

DOI: 10.1002/nme.1620330910

Google Scholar

[3] Moore R E. Methods and Applications of Interval Analysis. SIAM Philadelphia, (1979).

Google Scholar

[4] Alefeld G, HerzbergerJ. Introductions to interval computations. New York : Academic Press; (1983).

Google Scholar

[5] Chen S H, Lian H D, Yang X W. Interval Displacement Analysis for Structures with Interval Parameters. International Journal for Numerical Methods in Engineering, 2002, 53(2): 393-407.

DOI: 10.1002/nme.281

Google Scholar

[6] Chen S H, Yang X W. Interval Finite Element Method for Beam Structures. Finite Element in Analysis and Design , 2000, 34(1): 75-88.

DOI: 10.1016/s0168-874x(99)00029-3

Google Scholar

[7] Chen S H, Lian H D, Dynamic Response Analysis for Structures with Interval Parameters. Structural Engineering and Mechanics, 2002, 13(3): 299-312.

DOI: 10.12989/sem.2002.13.3.299

Google Scholar

[8] Hansen, Global Optimization Using Interval Analysis. New York: Academic Press, (1983).

Google Scholar

[9] Wu J, Chen S H. Dynamic Optimization for Vibration Systems with Interval Parameters. ACTA MECHANICA SINICA, 2003, 35(3) , 16(2), 141-146.

Google Scholar

[10] Chen S H, Wu J. Interval Optimization of Dynamic Response for Structures with Interval Parameters. Computers & Structures, 2004, 82: 1-11. Figure1. FEM model for a frame.

DOI: 10.1016/j.compstruc.2003.09.001

Google Scholar