Topological Design of Stiffener for Static Bending of Stiffened and Sandwiched Plates

Abstract:

This paper presents a 2.5D moving iso-surface threshold (MIST) approach for findingtopological configurations of stiffeners for stiffened and sandwiched plates subjected to staticbending load. In this 2.5D MIST approach, (a) 3D elements are used to discretize a continuum intomulti-layered finite element model with either one or two surface layers of elements as non-designdomain; (b) the 3D non-surface elements, collocated in the thickness direction, are grouped togetherand used to define one amalgamated physical response function for each series of elements in a 2Ddesign domain; (c) optimum designs on the layout of stiffeners attached to a panel or sandwichedbetween two panels are obtained using MIST from the grouped 3D elements. Several numericalexamples are presented to demonstrate the effectiveness of the proposed approach in designingpractical stiffener topology. By using representative volume element and repetitive boundaryconditions as well as loading combinations, designs of stiffener are obtained for selected stiffenedand sandwiched plates under chosen static loading.

• Periodical: Applied Mechanics and Materials (Volume 846)
• Pages: 541-546
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.846.541
• Online since: July 2016
• Authors: Mahmoud Alfouneh, Li Yong Tong*
• Keywords: MIST Topology Optimization Method, Plate, Sandwich Core, Stiffener

References

[1] Luo, J. and H. Gea, A systematic topology optimization approach for optimal stiffener design. Structural optimization, 1998. 16(4): pp.280-288.

DOI: 10.1007/bf01271435

[2] Maute, K. and M. Allen, Conceptual design of aeroelastic structures by topology optimization. Structural and Multidisciplinary Optimization, 2004. 27(1): pp.27-42.

DOI: 10.1007/s00158-003-0362-z

[3] Ding, X. and K. Yamazaki, Stiffener layout design for plate structures by growing and branching tree model (application to vibration-proof design). Structural and Multidisciplinary Optimization, 2004. 26(1-2): pp.99-110.

DOI: 10.1007/s00158-003-0309-4

[4] Tong, L. and J. Lin, Structural topology optimization with implicit design variable—optimality and algorithm. Finite Elements in Analysis and Design, 2011. 47(8): pp.922-932.

DOI: 10.1016/j.finel.2011.03.004

[5] Alfouneh, M. and L. Tong, MIST topology optimization for bending plates under static loading, Proc. of the 11th World Congress on Structural and Multidisciplinary Optimisation, 7-12 Jun 2015, Sydney, Australia.

[6] Vasista, S. and L. Tong, Topology optimization via the moving iso-surface threshold method: Implementation and application. Aeronautical Journal, 2014. 118(1201): pp.315-342.

DOI: 10.1017/s0001924000009143

[7] Luo, Q. and L. Tong, Design and testing for shape control of piezoelectric structures using topology optimization. Engineering Structures, 2015. 97: pp.90-104.

DOI: 10.1016/j.engstruct.2015.04.006

[8] ANSYS release 15, ANSYS, Inc. http: /www. ansys. com.