Statistical Sensitivity Analysis of Lattice Space Structures
Publication: Journal of Aerospace Engineering
Volume 6, Issue 3
Abstract
This paper presents a statistical sensitivity analysis for shape distortions of space structures. The approach is based on a statistical shape‐distortion analysis on the structural errors and an adjoint method of sensitivity analysis. The statistical shape‐distortion analysis allows the stochastic errors to be represented by member‐length tolerances. The sensitivity analysis is performed to predict the effects of member‐length errors for lattice space antennas on the surface accuracy. The formulas presented in this paper give an effective approach to predict the effects of member‐length errors on the shape distortions, to obtain effective structural elements to correct the shape distortions, and to design tolerance errors of the structural elements. Numerical examples for statically determinate and indeterminate two‐dimensional truss beams have been demonstrated to identify the members contributing most to the errors. These results show that the errors of the longitudinal elements of the structure are important for designing accurate truss structures. Moreover, the validity and effectiveness of the present approach have been investigated.
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References
1.
Burdisso, R. A., and Haftka, R. T. (1989). “Optimal location of actuators for correcting distortions in large truss structures.” AIAA J., 27(10), 1406–1411.
2.
Furuya, H. (1992). “Analytical evaluation of lattice space structures for accuracy.” AIAA J., 30(1), 280–282.
3.
Greene, W. H. (1983). “Effects of random member length errors on the accuracy and internal loads of truss antennas.” AIAA/ASME/ASCE/AHS 24th Struct., Struct. Dynamics and Mater. Conf., American Institute of Aeronautics and Astronautics, 697–704.
4.
Haftka, R. T., and Adelman, H. M. (1985a). “An analytical investigation of shape control of large space structures by applied temperatures.” AIAA J., 23(3), 450–457.
5.
Haftka, R. T., and Adelman, H. M. (1985b). “Selection of actuator locations for static shape control of large space structures by heuristic integer programming.” Comput. and Struct., 20(1–3), 575–582.
6.
Hedgepeth, J. M. (1982). “Influence of fabrication tolerances on the surface accuracy of large antenna structures.” AIAA J., 20(5), 680–686.
7.
Murthy, D. V., and Haftka, R. T. (1987). “Survey of methods for calculating sensitivity of general eigenproblems.” NASA CP‐2457, Nat. Aeronautics and Space Admin., Hampton, Va., 177–196.
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Copyright © 1993 American Society of Civil Engineers.
History
Received: Jun 25, 1991
Published online: Jul 1, 1993
Published in print: Jul 1993
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