This paper describes the location selection of minimunt number of actuator mounted redundant bars for complete prestressing of a determinate truss. Two computationally simple algorithms are presented to obtain the optimal locations of the redundants. The optimal bar prestresses are then obtained by using the least squares solution for the redundant bar forces, knowing the desired list of bar prestresses. The paper then proposes the use of a positive scale parameter. to prevent local buckling/rupture of individual bars of the resulting indeterminate truss and its global buckling. The procedure is illustrated on a simple two-dimensional truss.
Get full access to this article
View all access options for this article.
References
1.
1. Baycan. C. M.. S. Utku and B. K. Wada 1991 "Control of Resonant Frequencies in Adaptive Structures by Prestressing", Second Japan! USA Joint Conference aln Adaptive Striutures, Nagoya, Japan, Nov.. pp. 297-314.
2.
2. Baycan, C M.. S. Utku, S. K. Das and B. K. Wada. 1992. "Optimal Placement of Actuators in Adaptive Precision Trusses". Proceedings of tde AIAA/ASME/ASCE/AHS 33rd Structures, Structural Dna(nlic.s (land Material.s Confrrence, Dallas, Texas, April, pp. 418-423.
3.
3. Cross, L. E.1989. "Piezo-electric and Electrostrictive Sensors and Actuators for Adaptive Structures and Smart Materials". Alaptive Structures. AD-Vol. 15, N.Y. ASME.
4.
4. Das, S. K., S. Utku, B. K. Wada and G. S. Chen. 1990. 'A Mathematical Basis for the Design and Design Optimization of Adaptive Trusses in Precision Control", First U.S./Japan Conference on Adaptive Structures. Hawaii, pp. 660-688.
5.
5. Das, S. K., S. Utku, B. K. Wada and G. S. Chen. 1991. Optimal Actuator Placement in Adaptive Precision Trusses", 13th Biennial Conference on Mechanical Vibration and Noise presented at the 1991 ASME Design Technical Conferences, Miami, FL, Sept. 22-25. Source: Structural Vibration and Acoustic American Society of Mechanical Engineers, Design Engineering Division (Publication) DE v34, Publication by ASME, New York. NY. pp. 95-105.
6.
6. Greene, W. H.1985. "Effects of Random Member Length Errors on the Accuracy and Internal Loads of Truss Antennas". Journial of Space-ctaft and Rockets.
7.
7. Hedgepeth, J. M.1982. Influence of Fabrication Tolerances on the Surtfce Accuracy of Large Antenna Structures". AIAA Journal, 20:680-686.
8.
8. Jalihal. P. 1992. Pa}esrC} essini' auid Buckling in Adalp)tive Thisses, MS thesis, Department of Civil and Environmental Engineering, Duke University, Durham, NC.
9.
9. Ramesh, A. V., S. Utku and B. K. Wada. 1991. Real-Time Control of Geometry and Stiffness in Adaptive Structures". Comnputc-Methods' inl,4Ap)/lie(d Mechanci.s and Engineering, 90:761-779. I Presented in the Second World Congress on Computational Mechanics, University of Stuttgart, Germany. Aug. 27-31, 19901.
10.
10. Ramiesh, A. V., S. Utku, B. K. Wada and G. S. Chen. 1990. "Effect of Joint Inmpertections on Static Control of Adaptive Structures as Space Cranes': Jout-nal of ntelligqent Manterial Sv.s'tem.s and Strutctuhres, pp. 309-326.
11.
11. Robertshaw. H. H.. R. H. Wynn. H. F Kung. S. L. Hendricks and S L. Clark. 1989. "Dynamics and Control of a Spatial Active Truss Actuator". Proceeding1s of AIAA/ASME/ASCE/AHS 30th SDM Confrr-(1cc, Paper 89-1328.
12.
12. Utku. S.. C. H. Norris and J. B. Wilbur. 1991. Elementary Structural 1l(alv si., 4th ed.McGrasw-Hill Puhblishing Company.
