SIMP for Complex Structures

Article Preview

Abstract:

Designing structures with frequency constraints is an important task in aerospace engineering. Aerodynamic loading, gust loading, and engine vibrations all impart dynamic loads upon an airframe. To avoid structural resonance and excessive vibration, the natural frequencies of the structure must be shifted away from the frequency range of any dynamic loads. Care must also be taken to ensure that the modal frequencies of a structure do not coalesce, which can lead to dramatic structural failure. So far in industry, no aircraft lifting surfaces are designed from the ground up with frequency optimisation as the primary goal. This paper will explore computational methods for achieving this task.This paper will present a topology optimisation algorithm employing the Solid Isotropic Microstructure with Penalisation (SIMP) method for the design of an optimal aircraft wing structure for rejection of frequency excitation.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

535-540

Citation:

Online since:

July 2016

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2016 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Krog, L.A. and Olhoff N. Optimum topology and reinforcement design of disk and plate structures with multiple stiffness and eigenfrequency objectives. Computers & Structures, 72(4): 535–563, (1999).

DOI: 10.1016/s0045-7949(98)00326-5

Google Scholar

[2] Xie, Y.M. and Steven, G.P. A simple evolutionary procedure for structural optimization. Computers & structures, 49(5): 885–896, (1993).

DOI: 10.1016/0045-7949(93)90035-c

Google Scholar

[3] Xie, Y.M. and Steven, G.P. A simple approach to structural frequency optimization. Computers & structures, 53(6): 1487–1491, (1994).

DOI: 10.1016/0045-7949(94)90414-6

Google Scholar

[4] Zhao, C. Steven, G.P. and Xie, Y.M. Evolutionary natural frequency optimization of thin plate bending vibration problems. Structural optimization, 11(3-4): 244–251, (1996).

DOI: 10.1007/bf01197040

Google Scholar

[5] Zhao, C. Steven, G.P. and Xie Y.M. Evolutionary natural frequency optimization of two-dimensional structures with additional non-structural lumped masses. Engineering Computations, 14(2): 233 - 251, (1997).

DOI: 10.1108/02644409710166208

Google Scholar

[6] Zhao, C. B. Steven G.P. and Xie Y.M. Evolutionary optimization of maximizing the difference between two natural frequencies of a vibrating structure. Structural optimization 13. 2-3, (1997).

DOI: 10.1007/bf01199234

Google Scholar

[7] Querin O.M. Steven G.P. and Xie Y.M. Evolutionary structural optimisation (eso) using a bidirectional algorithm. Engineering Computations, 15(8): 1031–1048, (1998).

DOI: 10.1108/02644409810244129

Google Scholar

[8] Munk, D.J. Vio G.A. and Steven G.P. Topology and shape optimization methods using evolutionary algorithms: a review. Structural and Multidisciplinary Optimization. Published online: DOI 10. 1007/s00158-015-1261-9, (2015).

DOI: 10.1007/s00158-015-1261-9

Google Scholar

[9] Rozvany G.I.N. A critical review of established methods of structural topology optimization. Structural and Multidisciplinary Optimization, 37(3): 217–237, (2009).

DOI: 10.1007/s00158-007-0217-0

Google Scholar

[10] Rozvany G.I.N. Zhou M. and Birker T. Generalized shape optimization without homogenization. Structural optimization 4. 3-4: 250-252, (1992).

DOI: 10.1007/bf01742754

Google Scholar

[11] Pedersen N.L. Maximization of eigenvalues using topology optimization. Structural and multidisciplinary optimization, 20(1): 2–11, (2000).

DOI: 10.1007/s001580050130

Google Scholar

[12] Rozvany G.I.N. Aims, scope, methods, history and unified terminology of computeraided topology optimization in structural mechanics. Structural and Multidisciplinary Optimization, 21(2): 90–108, (2001).

DOI: 10.1007/s001580050174

Google Scholar

[13] Stanford B.K. and Dunning P.D. Optimal topology of aircraft rib and spar structures under aeroelastic loads. AIAA Paper 2014-0633, (2014).

DOI: 10.2514/6.2014-0633

Google Scholar

[14] Dunning P.D. Stanford, B.K. and Kim A.H. Coupled aerostructural topology optimization using a level set method for 3D aircraft wings. Structural and Multidiciplinary Optimization, 51: 1113-1132, (2015).

DOI: 10.1007/s00158-014-1200-1

Google Scholar

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

DOI: 10.1007/s00158-003-0362-z

Google Scholar

[16] Krog, L. Grihon, S. and Marasco A. Smart design of structures through topology optimization. 8th world congress on structural and multidisciplinary optimization, Lisbon, Putugal, (2009).

Google Scholar

[17] Oktay, E. Akay, H.U. and Sehitoglu, O.T. Three-dimensional structural topology optimization of aerial vehicles under aerodynamic loads. Computers and fluids 92(1): 225-232, (2014).

DOI: 10.1016/j.compfluid.2013.11.018

Google Scholar

[18] Huang, X. Zuo Z.H. and Xie Y.M. Evolutionary topological optimization of vibrating continuum structures for natural frequencies. Computers & structures88. 5: 357-364, (2010).

DOI: 10.1016/j.compstruc.2009.11.011

Google Scholar