Abstract
Plane sheet panels exhibit poor stiffness and NVH (noise, vibration, and harshness) performance due to their flexibility. A common and cost-effective approach in the automotive industry to improve the stiffness and NVH peformance of sheet panels is the addition of beads. However, no systematic methodology is available for determining the optimal pattern of beads in sheet metal. This research explores the feasibility of applying topology optimization methods to the bead design of sheet panels. The approach starts with adding beam elements to the shell element model of the sheet panel to simulate the stiffness improvement of the structure and then uses the topology optimization method to obtain the optimal layout of the beam elements. A cantilever plate is used to perform a preliminary study for bead pattern design and a simplified vehicle structure is used to demonstrate the applicability of the proposed method.
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References
Bendsøe, M.P.; Kikuchi, N. 1988: Generating optimal topologies in structural design using a homogenization method.Comp. Meth. Appl. Mech. Engrg. 71, 197–224
Cheng, G.; Jiang, Z. 1992: Study on topology optimization with stress constraints.Eng. Opt. 20, 129–148
Cheng, K.T.; Olhoff, N. 1981: An investigation concerning optimal design of solid elastic plates.Int. J. Solids Struct. 17, 305–323
Díaz, A.; Kikuchi, N. 1992: Solution to shape and topology eigenvalue optimization problem using a homogenization method.Int. J. Num. Meth. Engrg. 35, 1487–1502
Gea, H.C. 1994: Topology optimization: a new micro-structure based design domain method.ASME Adv. Des. Auto. 2, 283–290
Haug, E.J.; Choi, K.K.; Komkov, V. 1986:Design sensitivity analysis of structural systems. New York: Academic Press
Haber, R.B.; Jog, C.S.; Bendsøe, M.P. 1996: A new approach to variable-topology shape design using a constraint on perimeter.Struct. Optim. 11, 1–12
Lipeles, J. 1989: Stiffening panels with full-length beads.Machine Design 61, 100–102
Ma, Z.D.; Kikuchi, N. 1995: Topological design of vibrating structures.Comp. Meth. Appl. Mech. Engrg. 121, 259–280
Ma, Z.D.; Kikuchi, N.; Cheng, H.C.; Hagiwara, I. 1995: Topological optimization technique for free vibration problems.Trans. ASME, J. Appl. Mech. 62, 200–207
Mlejnek, H.P.; Schirrmacher, R. 1993: An engineer's approach to optimal material distribution and shape finding.Comp. Meth. Appl. Mech. Engrg. 106, 1–26
Rozvany, G.I.N.; Bendsøe, M.P.; Kirsch, U. 1995: Layout optimization of structures.Appl. Mech. Rev. 48, 41–117
Rozvany, G.I.N.; Olhoff, N.; Bendsøe, M.P.; Ong, T.G.; Sandler, R.; Szeto, W.T. 1987: Least-weight design of perforated plates.Int. J. Solids Struct. 23, 521–526, 537–550
Rozvany, G.I.N.; Olhoff, N.; Cheng, K.T.; Taylor, J.E. 1982: On the solid plate paradox in structural optimization.J. Struct. Mech. 10, 1–32
Rozvany, G.I.N.; Zhou, M.; Birker, T. 1992: Generalized shape optimization without homogenization.Struct. Optim. 4, 250–252
Sankaranaryanan, S.; Haftka, R.T.; Kapania, R.K. 1992: Truss topology optimization with stress and displacement constraints. In: Bendsøe, M.P.; Mota Soares, C.A. (eds.)Topology design of structures, pp. 71–78. Dordrecht: Kluwer
Wang, B.P.; Lu, C.M.; Yang, R.J. 1994: Topology optimization using MSC/NASTRAN.Proc. MSC World Users' Conf.
Yang, R.J.; Chahande, A.I. 1995: Automotive applications of topology optimization.Struct. Optim. 9, 245–249
Yang, R.J.; Chuang, C.H. 1994: Optimal topology design using linear programming.Comp. & Struct. 52, 265–275
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Yang, R.J., Chen, C.J. & Lee, C.H. Bead pattern optimization. Structural Optimization 12, 217–221 (1996). https://doi.org/10.1007/BF01197359
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DOI: https://doi.org/10.1007/BF01197359