Overestimation of pretension design for uncertain cable net structures

References

• Ansari, M., A. Kumar, and A. Chakrabarti. 2018. Static analysis of doubly curved singly ruled truncated FGM cone. Composite Structures 184:523–35. doi:10.1016/j.compstruct.2017.10.028.
   Web of Science ®Google Scholar
• Chaubey, A., A. Kumar, and A. Chakrabarti. 2018a. Novel shear deformation model for moderately thick and deep laminated composite conoidal shell. Mechanics Based Design of Structures and Machines 46 (5):650–68. doi:10.1080/15397734.2017.1422433.
   Web of Science ®Google Scholar
• Chaubey, A., A. Kumar, and A. Chakrabarti. 2018b. Vibration of laminated composite shells with cutouts and concentrated mass. AIAA Journal 56 (4):1662–78. doi:10.2514/1.J056320.
   Web of Science ®Google Scholar
• Deng, H., T. Li, Z. Wang, and X. Ma. 2015. Pretension design of space mesh reflector antennas based on projection principle. Journal of Aerospace Engineering 28 (6):04014142. doi:10.1061/(ASCE)AS.1943-5525.0000483.
   Web of Science ®Google Scholar
• Elishakoff, I., and Y. Miglis. 2012. Overestimation-free computational version of interval analysis. International Journal for Computational Methods in Engineering Science & Mechanics 13 (5):319–28. doi:10.1080/15502287.2012.683134.
   Google Scholar
• Erdolen, A. 2013. Uncertainty definition in structural systems with elasto-plastic materials under the bending moment effect by using interval analysis. Mechanics Based Design of Structures and Machines 41 (1):111–22. doi:10.1080/15397734.2012.712500.
   Web of Science ®Google Scholar
• Koohestani, K. 2014. Nonlinear force density method for the form-finding of minimal surface membrane structures. Communications in Nonlinear Science & Numerical Simulation 19 (6):2071–87. doi:10.1016/j.cnsns.2013.10.023.
   Web of Science ®Google Scholar
• Laseckaplura, M., and R. Lewandowski. 2017. Dynamic characteristics and frequency response function for frame with dampers with uncertain design parameters. Mechanics Based Design of Structures & Machines 45:296–312. doi:10.1080/15397734.2017.1298043.
   Web of Science ®Google Scholar
• Li, T., H. Deng, Y. Tang, J. Jiang, and X. Ma. 2017. Accuracy analysis and form-finding design of uncertain mesh reflectors based on interval force density method. Proceedings of the Institution of Mechanical Engineers Part G Journal of Aerospace Engineering 231 (11):2163–73. doi:10.1177/0954410016662061.
   Web of Science ®Google Scholar
• Li, Q., Z. Qiu, and X. Zhang. 2015. Second-order parameter perturbation method for dynamic structures with interval parameters. Journal of Mechanics 47 (1):147–53. doi:10.6052/0459-1879-14-088.
   Google Scholar
• Li, T., Y. Tang, and T. Zhang. 2016. Surface adjustment method for cable net structures considering measurement uncertainties. Aerospace Science & Technology 59:52–6. doi:10.1016/j.ast.2016.10.012.
   Web of Science ®Google Scholar
• Ma, X., and T. Li. 2018. Dynamic analysis of uncertain structures using an interval-wave approach. International Journal of Applied Mechanics 10 (02):1850021. doi:10.1142/S1758825118500217.
   Google Scholar
• Malerba, P., M. Patelli, and M. Quagliaroli. 2012. An extended force density method for the form finding of cable systems with new forms. Structural Engineering & Mechanics 42 (2):191–210. doi:10.12989/sem.2012.42.2.191.
   Web of Science ®Google Scholar
• Morterolle, S., B. Maurin, J. Quirant, and C. Dupuy. 2012. Numerical form-finding of geotensoid tension truss for mesh reflector. Acta Astronautica 76:154–63. doi:10.1016/j.actaastro.2012.02.025.
   Web of Science ®Google Scholar
• Muhanna, R., and R. Mullen. 2001. Uncertainty in mechanics problems-interval based approach. Journal of Engineering Mechanics 127 (6):557–66. doi:10.1061/(ASCE)0733-9399.
   Web of Science ®Google Scholar
• Pantelides, C., and S. Ganzeli. 1998. Design of truss under uncertain loads using convex models. Journal of Engineering Mechanics 124 (3):318–29. doi:10.1061/(ASCE)0733-9445.
   Google Scholar
• Rao, B., and K. Hari. 1989. Statistical performance analysis of the minimum-norm method. International Conference on Acoustics, Speech and Signal Processing 136 (3):125–34. doi:10.1109/ICASSP.1989.267040.
   Web of Science ®Google Scholar
• Rao, S., and L. Berke. 1997. Analysis of uncertain structural systems using interval analysis. AIAA Journal 35 (4):725–35. doi:10.2514/2.164.
   Web of Science ®Google Scholar
• Schek, H. 1974. The force density method for form finding and computation of general networks. Computational Methods in Applied Mechanics and Engineering 3 (1):115–34. doi:10.1016/0045-7825(74)90045-0.
   Google Scholar
• Tang, Y., and T. Li. 2017. Equivalent-force density method as a shape-finding tool for cable-membrane structures. Engineering Structures 151:11–9. doi:10.1016/j.engstruct.2017.08.010.
   Web of Science ®Google Scholar
• Tang, Y., T. Li, X. Ma, and L. Hao. 2017. Extended nonlinear force density method for form-finding of cable-membrane structures. Journal of Aerospace Engineering 30 (3):04016101. doi:10.1061/(ASCE)AS.1943-5525.0000705.
   Web of Science ®Google Scholar