Topology optimization for crashworthiness of cyclic symmetric isosceles under dynamic response constraints

References

• Bendsøe MP, Sigmund O. Topology optimization: Theory, methods and applications. Berlin, Germany: Springer-Verlag; 2003.
   Google Scholar
• Pedersen CBW. Crashworthiness design of transient frame structures using topology optimization. Comput Methods Appl Mech Eng. 2014;193(6–8):635–678.
   Google Scholar
• Torstenfelt B, Klarbring A. Conceptual optimal design of modular car product families using simultaneous size, shape and topology optimization. Finite Elem Anal Des. 2007;43(14):1050–1061.
   Web of Science ®Google Scholar
• Zavala GR, Nebro AJ, Luna F, et al. A survey of multi-objective metaheuristics applied to structural optimization. Struct Multidisc Optim. 2014;49(4):537–558.
   Web of Science ®Google Scholar
• YanHuang XX, Zha Y, et al. Concurrent topology optimization of structures and their composite microstructures. Comput Struct. 2014;133:103–110.
   Web of Science ®Google Scholar
• Wang YQ, Kang Z, He QZ. An adaptive refinement approach for topology optimization based on separated density field description. Comput Struct. 2013;117:10–22.
   Web of Science ®Google Scholar
• Pedersen CBW. Topology optimization for crashworthiness of frame structures. Int J Crashworthiness. 2003;8(1):29–39.
   Web of Science ®Google Scholar
• Marzougui D, Meczkowski L, Taylor H, et al. Sign support height analysis using finite element simulation. Int J Crashworthiness. 2001;6(1):33–42.
   Web of Science ®Google Scholar
• Mohan P, Marzougui Meczkowski DL, et al. Finite element modeling and validation of a 3-strand cable guardrail system. Int J Crashworthiness. 2005;10(3):267–273.
   Web of Science ®Google Scholar
• Beghini LL, Beghini A, Katz N, et al. Connecting architecture and engineering, through structural topology optimization. Eng Struct. 2014;59(2):716–726.
   Google Scholar
• Zhu JH, Zhang WH, Xia L. Topology optimization in aircraft and aerospace structures design. Arch Computat Methods Eng. 2016;23(4):595–622.
   Web of Science ®Google Scholar
• Rozvany GIN. A critical review of established methods of structural topology optimization. Struct Multidisc Optim. 2009;37(3):217–237.
   Web of Science ®Google Scholar
• Xie YM, Steven GP. A simple evolutionary procedure for structural optimization. Comput Struct. 1993;49(5):885–896.
   Web of Science ®Google Scholar
• Zhao F. A nodal variable ESO(BESO) method for structural topology optimization. Finite Elem Anal Des. 2014;86(9):34–40.
   Google Scholar
• Wang MY, Wang XM, Guo DM. A level set method for structural topology optimization. Comput Methods Appl Mech Eng. 2003;192(1–2):227–246.
   Web of Science ®Google Scholar
• Guo X, Zhang WS, Zhong WL. Doing topology optimization explicitly and geometrically-a new moving morphable components based framework. J Appl Mech. 2014;81(8):081009–1–081009-12.
   Web of Science ®Google Scholar
• Eschenauer HA, Olhoff N. Topology optimization of continuum structures: a review. Appl Mech. 2001;54(4):331–390.
   Google Scholar
• Jakiela M, Chapman J, Dudal CJ. Continuum structural topology design with genetic algorithms. Comput Methods Appl Mech Eng. 2000;186(4):39–356.
   Web of Science ®Google Scholar
• Labanda S, Stolpe RM. Automatic penalty continuation in structural topology optimization. Struct Multidisc Optim. 2015;52(6):1205–1217.
   Web of Science ®Google Scholar
• Liu ST, Chen XH, Cao XF. Optimization of buckling-prone cylindrical shells with porous materials core. Eng Mach. 2005;22(1):135–140.
   Google Scholar
• Moses E, Fuchs MB, Ryvkin M. Topological design of modular structures under arbitrary loading. Struct Multidiscip O. 2002;24(6):407–417. pp:
   Web of Science ®Google Scholar
• Zuo ZH, Xie YM, Huang XD. Reinventing the wheel. J Mech Des. 2011;133(2):1–4.
   Web of Science ®Google Scholar
• Wang QG, Wang SM, Yuan R. Exploring multi-objective topological optimization of 3D cyclically symmetric structure under multiple constraints. J Northwest Polytech Univ. 2008;26(4):425–529.
   Google Scholar
• Sigmund O. Design of multiphysics actuators using topology optimization-Part II: Two-material structures. Comput Method Appl M. 2001;190(49–50):6605–6627.
   Web of Science ®Google Scholar
• Lee J, Wang SY, Dikec A. Topology optimization for the radiation and scattering of sound from thin-body using genetic algorithms. J Sound Vib. 2004;276(3–5):899–918.
   Web of Science ®Google Scholar
• Du JB, Olhoff N. Minimization of sound radiation from vibrating bi-material structures using topology optimization. Struct Multidisc Optim. 2007;33(4–5):305–321.
   Web of Science ®Google Scholar
• Akl W, Sabbagh AE, Mitani K, Baz AA. Topology optimization of a plate coupled with acoustic cavity. Int J Solids Struct. 2009;46(10):2060–2074.
   Web of Science ®Google Scholar
• DuOlhoff JN. Topological design of vibrating structures with respect to optimum sound pressure characteristics in a surrounding acoustic medium. Struct Multidisc Optim. 2010;42(1):43–54.
   Web of Science ®Google Scholar
• Zhang XP, Kang Z. Topology optimization of damping layers for minimizing sound radiation of shell structures. J Sound Vib. 2013;332(10):2500–2519.
   Web of Science ®Google Scholar
• Stolpe M, Svanberg K. An alternative interpolation scheme for minimum compliance topology optimization. Struct Multidisc Optim. 2001;22(2):116–124.
   Web of Science ®Google Scholar
• Bängtsson E, Noreland D, Berggren M. Shape optimization of an acoustic horn. Comput Method Appl M. 2003;192(11–12):1533–1571.
   Web of Science ®Google Scholar
• Bendsøe M, Olhoff P, Sigmund NO. IUTAM syposium on toplogical design optimization of structures, machines and materials, solid mechanics and its applications. Vol. 137. Copenhagen, Denmark: Springer; 2006. p. 375–385.
   Google Scholar
• Wadbro E, Berggren M. Topology optimization of an acoustic horn. Comput Method Appl M. 2006;196(1–3):420–436.
   Web of Science ®Google Scholar
• Martinez JM. A note on the theoretical convergence properties of the SIMP method. Struct Multidisc Optim. 2005;29(4):319–323.
   Web of Science ®Google Scholar
• Quoc LV, Zhang X, Lesburg L. Normal and tangential force-displacement relations for frictional elasto-plastic contact of spheres. Int J Solids Struct. 2001;38(36–37):6455–6490.
   Web of Science ®Google Scholar
• Zhang X, Quoc LV. Modeling the dependence of the coefficient of restitution on the impact velocity in elasto-plastic collisions. Int J Impact Eng. 2002;27(3):317–341.
   Web of Science ®Google Scholar
• Fu YM, Mao YQ, Tian YP. Damage analysis and dynamic response of elastoplastic laminated composite shallow spherical shell under low velocity impact. Int J Solids Struct. 2010;47(1):126–137.
   Web of Science ®Google Scholar
• Johnson KL. Contact mechanics. Cambridge (UK): Cambridge University Press; 1985.
   Google Scholar
• He SM, Li X, Wu PY. Calculation of impact force of outrunner blocks in debris flow considering elastoplastic deformation. Chin J Rock Mech Eng. 2007;26(8):1664–1669.
   Google Scholar
• Standard for safety performance evaluation of highway barriers. Beijing, China: Communications Press; 2013. JTG/T B05-01-2013.
   Google Scholar
• Specification for layout of rotary guardrail. China: Quality and Technology Supervision of Zhejiang Province; DB 33/T 888–2013.
   Google Scholar