Direct Displacement Control of Deformed Double Layer Dome

Authors

DOI:

https://doi.org/10.25079/ukhjse.v4n1y2020.pp1-14

Keywords:

Force method, Actuation, Shape restoration, Displacement control, Double layer dome.

Abstract

Space structures such as double layer dome is light and active structural system that used for various structural application, for instance structural covers large areas such as exhibition halls, stadium and concert halls. They are aesthetically pleasing in appearance as well as the architectural requirement, in which tolerances of structural shape under changing service conditions are very significant, which high appearance accuracy is requested in some applications. Due to many reasons such as loading, these type of structures may suffer from a noticeable deflection, which leads to a significant potential undesired appearance of the shape. In this situation, the displacements may need to be reduced or eliminated. In this study, by applying the shape adjustment technique that its scheme is depend on the linear force method, shape restoration is performed to the double layer dome model in three different cases corresponding to the directions of loadings were considered. The improvement of controlling nodal displacement can be achieved through using a rather simple and direct method, due to calculating necessary length of actuators by applying a single formulation. It is found that if the number of provided actuators are satisfactory, controlling of all the displaced joints could be performed by a very small percentage of discrepancy, even if the controlled joints connection is not direct with the adjustable members. The technique of shape adjustment is very efficient for double layer dome model, and it can roughly eliminate the displacement of definite joints (Exterior joints only) by simply changing the length of certain bars by eo amount

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Author Biographies

  • Shna Jabar Abdulkarim, Department of Civil Engineering, University of Raparin, Rania, Sulaymaniyah, Kurdistan Region-F.R. Iraq

    Ms. Shna Jabar is currently an Assistant Lecturer at the Department of Civil Engineering, University of Raparin, Rania, Sulaymaniyah, Kurdistan Region-F.R. Iraq.

     

  • Najmadeen Mohammed Saeed, Department of Civil Engineering, University of Raparin, Rania, Sulaymaniyah, Kurdistan Region-F.R. Iraq

    Asst. Prof. Dr. Najmadeen Mohammed Saeed

    PhD Civil Engineering\ Structures School of Engineering United Kingdom 2015-04-22 Master Building Construction Engineering\ Structures College of Engineering/ Building Construction Department Kurdistan Region/ Iraq 2010-04-20 Bachelor Building Construction Engineering College of Engineering/ Building Construction Department Kurdistan Region/ Iraq 2002-07-04
  • Hawkar Ali Haji, Department of Civil Engineering, University of Raparin, Rania, Sulaymaniyah, Kurdistan Region-F.R. Iraq

    Mr. Hawkar Ali is currently holding the position of Assistant Lecturer at the Department of Civil Engineering, University of Raparin, Rania, Sulaymaniyah, Kurdistan Region-F.R. Iraq. 

References

Burdisso, R. A. & Haftka, R. T. (1990). Statistical analysis of static shape control in space structures. AIAA Journal, 28(8), 1504-1508. DOI: http://dx.doi.org/10.2514/3.25245.

Chen, W. F. & Lui, E. M., (2005). Handbook of structural engineering. CRC press.

Du, J., Bao, H. & Cui, C. (2014). Shape adjustment of cable mesh reflector antennas considering modeling uncertainties. Acta Astronautica, 97, 164-171. https://doi.org/10.1016/j.actaastro.2014.01.001.

Du, J., Zong, Y. & Bao, H. (2013). Shape adjustment of cable mesh antennas using sequential quadratic programming. Aerospace Science and Technology, 30(1), 26-32. DOI: http://dx.doi.org/10.1016/j.ast.2013.06.002.

Edberg, D. L. (1987). Control of flexible structures by applied thermal gradients. AIAA Journal, 25(6), 877-883. DOI: http://dx.doi.org/10.2514/3.9715.

Hadjigeorgiou, E. P., Stavroulakis, G. E. & Massalas, C. V. (2006). Shape control and damage identification of beams using piezoelectric actuation and genetic optimization. International Journal of Engineering Science, 44(7), 409-421. https://DOI:10.1016/j.ijengsci.2006.02.004.

Haftka, R. T. & Adelman, H. M. (1985). Selection of actuator locations for static shape control of large space structures by heuristic integer programing. Computers & Structures, 20(1), 575-582. https://doi.org/10.1016/0045-7949(85)90105-1.

Jayminkumar, S. Y. & Vahora, F. (2016). A parametric study on steel dome structures. International Journal For Technological Research In Engineering, 4(2). http://www.ijtre.com/images/scripts/2016040232.pdf.

Kwan, A. S. K. (1991). A pantographic deployable mast. PhD Thesis. University of Cambridge. Retrieved from URL: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.386086

Kwan, A. S. K. & Pellegrino, S. (1993). Prestressing a space structure. AIAA Journal, 31(10), 1961-1963. DOI: http://dx.doi.org/10.2514/3.11876.

Manguri, A. A., Kwan, A. S. K. & Saeed, N. M. (2017). Adjustment for shape restoration and force control of cable arch stayed bridges. International Journal of Computational Methods and Experimental Measurements, 5(4), 514-521. DOI: http://dx.doi.org/10.2495/CMEM-V5-N4-514-521.

Mitsugi, J., Yasaka, T. & Miura, K. (1990). Shape control of the tension truss antenna. AIAA Journal, 28(2), 316-322. https://doi.org/10.2514/3.10391.

Pellegrino, S. (1993). Structural computations with the singular value decomposition of the equilibrium matrix. International Journal of Solids and Structures, 30(21), 3025-3035. DOI: http://dx.doi.org/10.1016/0020-7683(93)90210-X.

Pellegrino, S., Kwan, A. S. K. & Van Heerden, T. F. (1992). Reduction of equilibrium, compatibility and flexibility matrices, in the force method. International Journal for Numerical Methods in Engineering, 35(6), 1219-1236. DOI: http://dx.doi.org/10.1002/nme.1620350605.

Saeed, N., Manguri, A., Abdulkarim, S. & Shekha, A. 2019. Shape restoration of deformed egg-shaped single layer space frames. 2019 International Conference on Advanced Science and Engineering (ICOASE). IEEE, pp. 220-225. http://dx.doi.org/10.1109/ICOASE.2019.8723714.

Saeed, N. M. (2014). Prestress and deformation control in flexible structures. PhD Thesis. Cardiff University. Retrieved from URL: http://orca.cf.ac.uk/69777/

Saeed, N. M. (2019). Simultaneous force and deformation control of cable arch stayed bridges. Kufa Journal of Engineering, 10(4), 66-75.

Saeed, N. M. & Kwan, A. S. (2017). Displacement and internal force control in cable-stayed bridges. Proceedings of the Institution of Civil Engineers-Bridge Engineering, 1-14. https://doi.org/10.1680/jbren.16.00010.

Saeed, N. M. & Kwan, A. S. K. (2014). Concepts for morphing aerofoil sections using pantographic structures. Mobile and Rapidly Assembled Structures IV, 136, 279. DOI: http://dx.doi.org/10.2514/1.J054811.

Saeed, N. M. & Kwan, A. S. K. (2016a). Displacement and force control of complex element structures by Matrix Condensation. Structural Engineering and Mechanics, 59(6), 973-992. DOI: http://dx.doi.org/10.12989/sem.2016.59.6.973.

Saeed, N. M. & Kwan, A. S. K. (2016b). Simultaneous displacement and internal force prescription in shape control of pin-jointed assemblies. AIAA Journal, 54(8), 2499-2506. DOI: http://dx.doi.org/10.2514/1.J054811.

Shea, K., Fest, E. & Smith, I. F. C. (2002). Developing intelligent tensegrity structures with stochastic search. Advanced Engineering Informatics, 16(1), 21-40. DOI: http://dx.doi.org/10.1016/S1474-0346(02)00003-4.

Tanaka, H. (2011). Surface error estimation and correction of a space antenna based on antenna gainanalyses. Acta Astronautica, 68(7), 1062-1069. https://doi.org/10.1016/j.actaastro.2010.09.025.

Tanaka, H. & Natori, M. (2006). Shape control of cable-network structures based on concept of self-equilibrated stresses. JSME International Journal Series C, 49, 1067-1072. https://doi.org/10.1299/jsmec.49.1067.

Tanaka, H. & Natori, M. C. (2004). Shape control of space antennas consisting of cable networks. Acta Astronautica, 55(3), 519-527. https://doi.org/10.1016/0045-7949(92)90413-T.

Trak, A. B. & Melosh, R. J. (1992). Passive shape control of space antennas with truss support structures. Computers & Structures, 45(2), 297-305.

Wang, Z., Chen, S. h. & Han, W. (1997). The static shape control for intelligent structures. Finite Elements in Analysis and Design, 26(4), 303-314. https://doi.org/10.1016/S0168-874X(97)00086-3.

Wang, Z., Li, T. & Cao, Y. (2013). Active shape adjustment of cable net structures with PZT actuators. Aerospace Science and Technology, 26(1), 160-168. https://doi.org/10.1016/j.ast.2012.03.001.

Weeks, C. J. (1984). Static shape determination and control of large space structures: II. A large space antenna. Journal of Dynamic Systems, Measurement, and Control, 106(4), 267-272. https://doi.org/10.1115/1.3140684.

Xu, X. & Luo, Y. (2009). Non-linear displacement control of prestressed cable structures. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 223(7), 1001-1007. https://doi.org/10.1243/09544100JAERO455.

Yang, S. & Ngoi, B. (2000). Shape control of beams by piezoelectric actuators. AIAA Journal, 38(12), 2292-2298. https://doi.org/10.2514/2.898.

You, Z. (1997). Displacement control of prestressed structures. Computer Methods in Applied Mechanics and Engineering, 144(1), 51-59. http://dx.doi.org/10.1016/S0045-7825(96)01164-4.

Yu, Y., Zhang, X. N. & Xie, S. L. (2009). Optimal shape control of a beam using piezoelectric actuators with low control voltage. Smart Materials and Structures, 18(9), 095006. http://dx.doi.org/10.1088/0964-1726/18/9/095006.

Ziegler, F. (2005). Computational aspects of structural shape control. Computers & Structures, 83(15), 1191-1204. DOI: http://dx.doi.org/10.1016/j.compstruc.2004.08.026.

Published

2020-06-30

Issue

Section

Research Articles

How to Cite

Direct Displacement Control of Deformed Double Layer Dome. (2020). UKH Journal of Science and Engineering, 4(1), 1-14. https://doi.org/10.25079/ukhjse.v4n1y2020.pp1-14