Abstract

Adaptive structures can modify their geometry and internal forces through sensing and mechanical actuation in order to maintain optimal performance under changing actions. Previous work has shown that well-conceived adaptive design strategies achieve substantial whole-life energy savings compared with traditional passive designs. The whole-life energy comprises an embodied part in the material and an operational part for structural adaptation. Structural adaptation through controlled large shape changes allows a significant stress redistribution so that the design is not governed by extreme loads with long return periods. This way, material utilization is maximized, and thus embodied energy is reduced. This paper presents a new design process for adaptive structures based on geometry and member sizing optimization in combination with actuator placement optimization. This method consists of two parts: (1) geometry and sizing optimization through sequential quadratic programming is carried out to obtain shapes that are optimal for each load case; and (2) a formulation based on stochastic search and the nonlinear force method (NFM) is employed to obtain an optimal actuator layout and commands to control the structure into the target shapes obtained from Part 1. A case study of a planar statically indeterminate truss is presented. Numerical results show that 17% and 37% embodied energy savings are achieved with respect to an identical active structure designed to adapt through small shape changes and to a weight-optimized passive structure, respectively. The combinatorial task of optimal actuator placement is carried out efficiently. The method formulated in this work produces actuator layouts that enable accurate geometric nonlinear shape control under quasi-static loading through a low number of actuators compared to the number of members of the structure.

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Acknowledgments

The authors thankfully acknowledge Swiss National Science Foundation who provided core funding for this research via project 200021_182033 (Structural Adaptation through Large Shape Changes) and the Swiss Government Excellence Scholarship (ESKAS-Nr: 2016.0749).

References

Achtziger, W. 2007. “On simultaneous optimization of truss geometry and topology.” Struct. Multidiscip. Optim. 33 (4–5): 285–304. https://doi.org/10.1007/s00158-006-0092-0.
Adam, B., and I. F. C. Smith. 2008. “Active tensegrity: A control framework for an adaptive civil-engineering structure.” Comput. Struct. 86 (23–24): 2215–2223. https://doi.org/10.1016/j.compstruc.2008.05.006.
Akgün, Y., C. J. Gantes, W. Sobek, K. Korkmaz, and K. Kalochairetis. 2011. “A novel adaptive spatial scissor-hinge structural mechanism for convertible roofs.” Eng. Struct. 33 (4): 1365–1376. https://doi.org/10.1016/j.engstruct.2011.01.014.
Arora, J., O. Elwakeil, and A. Chahande. 1995. “Global optimization methods for engineering applications: A review.” Struct. Optim. 9 (3–4): 137–159. https://doi.org/10.1007/BF01743964.
Bajusz, D., A. Rácz, and K. Héberger. 2015. “Why is Tanimoto index an appropriate choice for fingerprint-based similarity calculations?” J. Cheminf. 7 (1): 1–20.
Barnes, M. 1977. “Form finding and analysis of tension space structures by dynamic relaxation.” Int. J. Space Struct. 14 (2): 89–104. https://doi.org/10.1260/0266351991494722.
Begg, D., and X. Liu. 2000. “On simultaneous optimization of smart structures. II: Algorithms and examples.” Comput. Methods Appl. Mech. Eng. 184 (1): 25–37. https://doi.org/10.1016/S0045-7825(99)00317-5.
Boogs, P., and J. Tolle. 1995. “Sequential quadratic programming.” Acta Numer. 4 (1): 1–51.
Cerny, V. 1985. “A thermodynamic approach to the traveling salesman problem: An efficient simulation.” J. Optim. Theory Appl. 45 (1): 41–51.
Connor, J. 2002. Introduction to structural motion control. Boston: Pearson Education.
Crisfield, M. 1981. “A fast incremental/iterative solution procedure that handles ‘snap-through.’” Comput. Struct. 13 (1–3): 55–62. https://doi.org/10.1016/0045-7949(81)90108-5.
Day, A. 1965. “An introduction to dynamic relaxation.” Engineer 219 (5688): 218–221.
Descamps, B. 2014. Computational design of lightweight structures: Form finding and optimization. London: Wiley.
Doan, A., J. Madhavan, P. Domingos, and A. Halevy. 2004. “Ontology matching: A machine learning approach.” In Handbook on ontologies, 385–403. Berlin: Springer.
EEA (European Environment Agency). 2010. Material resources and waste: The European environment: State and outlook. Luxembourg: Publications Office of the European Union.
Gantes, C., J. Connor, R. Logcher, and Y. Rosenfeld. 1989. “Structural analysis and design of deployable structures.” Comput. Struct. 32 (3): 661–669. https://doi.org/10.1016/0045-7949(89)90354-4.
Gil, L., and A. Andreu. 2001. “Shape and cross-section optimisation of a truss structure.” Comput. Struct. 79 (7): 681–689. https://doi.org/10.1016/S0045-7949(00)00182-6.
Haftka, R. T. 1985. “Simultaneous analysis and design.” AIAA J. 23 (7): 1099–1103. https://doi.org/10.2514/3.9043.
Hammond, G., and C. Jones. 2008. “Embodied energy and carbon in construction materials.” Proc. Inst. Civ. Eng. Ene. 161 (2): 87–98. https://doi.org/10.1680/ener.2008.161.2.87.
He, L., and M. Gilbert. 2015. “Rationalization of trusses generated via layout optimization.” Struct. Multidiscip. Optim. 52 (4): 677–694. https://doi.org/10.1007/s00158-015-1260-x.
Kirkpatrick, S., J. C. Gelatt, and M. Vecchi. 1983. “Optimization by simulated annealing.” Science 220 (4598): 671–680. https://doi.org/10.1126/science.220.4598.671.
Kobori, T., and S. Kamagata. 1991. “Dynamic intelligent buildings-active seismic response control.” In Intelligent structures, 279–282. Milton Park, Abingdon: Taylor & Francis Group.
Korkmaz, S., N. B. H. Ali, and I. Smith. 2012. “Configuration of control system for damage tolerance of a tensegrity bridge.” Adv. Eng. Inf. 26 (1): 145–155. https://doi.org/10.1016/j.aei.2011.10.002.
Lax, P., S. Burstein, and A. Lax. 1972. Calculus with applications and computing. New York: Courant Institute of Mathematical Sciences, New York Univ.
Manning, R. 1991. “Optimum design of intelligent truss structures.” In Proc., 32nd Structures, Structural Dynamics, and Materials Conf., 528–533. Reston, VA: American Institute of Aeronautics and Astronautics.
Metropolis, N., A. Rosenbluth, A. Teller, and E. Teller. 1953. “Equation of state calculations by fast computing machines.” J. Chem. Phys. 21 (6): 1087–1092.
Nakajima, K., N. Giron, M. Kohiyama, K. Watanabe, M. Yoshida, M. Yamanaka, S. Inaba, and O. Yoshida. 2012. “Seismic response analysis of a semi-active-controlled base-isolated building durinh the 2011 great east Japan earthquake.” In Proc., Int. Symp. on Engineering Lessons Learned from the 2011 Great East Japan Earthquake.
Nocedal, J., and S. Wright. 1999. Numerical optimization. New York: Springer.
Onoda, J., and Y. Hanawa. 1992. “Actuator placement optimization by genetic and improved simulated annealing algorithms.” AIAA J. 31 (6): 1167–1169. https://doi.org/10.2514/3.49057.
Patnaik, S., D. Hopkins, and G. Halford. 2004. Integrated force method solution to indeterminate structural mechanics problems. Washington, DC: National Aeronautics and Space Administration.
Pedersen, N., and A. Nielsen. 2003. “Optimization of practical trusses with constraints on eigenfrequencies, displacements, stresses, and buckling.” Struct. Multidiscip. Optim. 25 (5–6): 436–445. https://doi.org/10.1007/s00158-003-0294-7.
Pedersen, P. 1973. “Optimal joint positions for space trusses.” J. Struct. Div. 99 (12): 2459–2476.
Pellegrino, S. 2001. Deployable structures. New York: Springer.
Querin, O. 1997. “Evolutionary structural optimization: Stress based formulation and implementation.” Ph.D. dissertation, Univ. of Sydney.
Reddy, G., and J. Cagan. 1995. “An improved shape annealing algorithm for truss topology generation.” ASME J. Mech. Des. 117 (2): 315–321. https://doi.org/10.1115/1.2826141.
Reinhorn, A., T. R. M. Soong, and R. Lin. 1993. “Full-scale implementation of active control. II: Installation and performance.” J. Struct. Eng. 119 (6): 1935–1960. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:6(1935).
Rhode-Barbarigos, L., C. Schulin, N. B. H. Ali, R. Motro, and I. F. Smith. 2012. “Mechanism-based approach for the deployment of a tensegrity-ring module.” J. Struct. Eng. 138 (4): 539–548. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000491.
Sauve, R. 1995. “Advances in dynamic relaxation techniques for nonlinear finite element.” J. Pressure Vessel Technol. 117 (2): 170–176. https://doi.org/10.1115/1.2842106.
Schwarz, J., T. Chen, K. Shea, and T. Stanković. 2018. “Efficient size and shape optimization of truss structures subject to stress and local buckling constraints using sequential linear programming.” Struct. Multidiscip. Optim. 58 (Jan): 171–184. https://doi.org/10.1007/s00158-017-1885-z.
Senatore, G., P. Duffour, S. Hanna, F. Labbé, and P. Winslow. 2011. “Adaptive structures for whole-life energy savings.” J. Int. Assoc. Shell Spatial Struct. 52 (4): 233–240.
Senatore, G., P. Duffour, and P. Winslow. 2018a. “Energy and cost analysis of adaptive structures: Case studies.” J. Struct. Eng. 144 (8): 04018107. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002075.
Senatore, G., P. Duffour, and P. Winslow. 2018b. “Exploring the application domain of adaptive structures.” Eng. Struct. 167 (1): 608–628. https://doi.org/10.1016/j.engstruct.2018.03.057.
Senatore, G., P. Duffour, and P. Winslow. 2019. “Synthesis of minimum energy adaptive structures.” Struct. Multidiscip. Optim. 60 (3): 849–877. https://doi.org/10.1007/s00158-019-02224-8.
Senatore, G., P. Duffour, P. Winslow, and C. Wise. 2018c. “Shape control and whole-life energy assessment of an “infinitely stiff.” prototype adaptive structure.” Smart Mater. Struct. 27 (1): 015022. https://doi.org/10.1088/1361-665X/aa8cb8.
Senatore, G., and D. Piker. 2015. “Interactive real-time physics: An intuitive approach to form-finding and structural analysis for design and education.” Comput.-Aided Des. 61 (Apr): 32–41. https://doi.org/10.1016/j.cad.2014.02.007.
Shea, K., E. Fest, and I. Smith. 2002. “Developing intelligent tensegrity structures with stochastic search.” Adv. Eng. Inf. 16 (1): 21–40. https://doi.org/10.1016/S1474-0346(02)00003-4.
Skelton, R., and C. Sultan. 1997. “Integrated design of controllable tensegrity structures.” Adapt. Struct. Mater. Syst. (1): 54: 27–35.
Sobek, W., and P. Teuffel. 2001. “Adaptive systems in architecture and structural engineering.” In Vol. 4330 of Proc., Smart Structures and Materials 2001: Smart Systems for Bridges, Structures, and Highways, 36–45. Bellingham, WA: International Society for Optics and Photonics.
Soong, T. 1988. “Active structural control in civil engineering.” Eng. Struct. 10 (2): 74–84. https://doi.org/10.1016/0141-0296(88)90033-8.
Soong, T., and G. Cimellaro. 2009. “Future directions in structural control.” Struct. Control Health Monit. 16 (7): 7–16.
Soong, T., and G. Manolis. 1987. “Active structures.” J. Struct. Eng. 113 (11): 2290–2302. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:11(2290).
Spencer, Jr., B., and S. Nagarajaiah. 2003. “State of the art of structural control.” J. Struct. Eng. 129 (7): 845–856.
Straube, J. 2006. “Green building and sustainability.” In Building science digests. Westford, MA: Building Science Corporation.
Sychterz, A., and I. Smith. 2018. “Deployment and shape change of a tensegrity structure using path-planning and feedback control.” Front. Built Environ. 4: 45. https://doi.org/10.3389/fbuil.2018.00045.
Tanimoto, T. 1958. An elementary mathematical theory of classification and prediction. New York: IBM.
Teuffel, P. 2004. “Entwerfen adaptiver strukturen.” Ph.D. dissertation, Fakultät Bau- und Umweltingenieurwissenschaften, Univ. of Stuttgart–ILEK.
Veuve, N., S. Safei, and I. Smith. 2015. “Deployment of a tensegrity footbridge.” J. Struct. Eng. 141 (11): 04015021. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001260.
Wah, B., and T. Wang. 1999. “Constrained simulated annealing with applications in nonlinear continuous constrained global optimization.” In Proc., 11th Int. Conf. on Tools with Artificial Intelligence, 381–388. New York: IEEE.
Wang, D., W. Zhang, and J. Jiang. 2002. “Truss shape optimization with multiple displacement constraints.” Comput. Methods Appl. Mech. Eng. 191 (33): 3597–3612. https://doi.org/10.1016/S0045-7825(02)00297-9.
Xu, X., and Y. Luo. 2009. “Non-linear displacement control of prestressed cable structures.” J. Aerosp. Eng. 223 (7): 1001–1007.
Yuan, X., X. Liang, and A. Li. 2016. “Shape and force control of prestressed cable-strut structures based on nonlinear force method.” Adv. Struct. Eng. 19 (12): 1917–1926. https://doi.org/10.1177/1369433216652411.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 146Issue 5May 2020

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Received: Jan 23, 2019
Accepted: Oct 14, 2019
Published online: Mar 6, 2020
Published in print: May 1, 2020
Discussion open until: Aug 6, 2020

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Ph.D. Student, Applied Computing and Mechanics Laboratory, School of Architecture, Civil and Environmental Engineering, Swiss Federal Institute of Technology, Lausanne CH-1015, Switzerland. ORCID: https://orcid.org/0000-0002-5626-430X. Email: [email protected]
Scientist, Applied Computing and Mechanics Laboratory, School of Architecture, Civil and Environmental Engineering, Swiss Federal Institute of Technology, Lausanne CH-1015, Switzerland (corresponding author). ORCID: https://orcid.org/0000-0001-7418-9713. Email: [email protected]
Ian F. C. Smith, F.ASCE [email protected]
Professor, Applied Computing and Mechanics Laboratory, School of Architecture, Civil and Environmental Engineering, Swiss Federal Institute of Technology, Lausanne CH-1015, Switzerland. Email: [email protected]

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