Vertical Tail Topology Optimization Design Based on the Variable Density Method with Constraint Factor

Article Preview

Abstract:

The topology optimization design problem with multiple constraints for the complex vertical tail structure is studied in this paper. The variable density structural topology optimization method is improved by introducing a constraint factor. According to the different structural constraints and design requirements, variable factors and element pseudo density are initialized via finite element method. This method is controlled by the constraint factors, and the improved method combining with Rational Approximation of Material Properties (RAMP) density-stiffness interpolation model with optimality criteria methods (OC), the vertical tail’s stiffness optimization has been finished. The density-stiffness interpolation model, the mathematical model of variable density method with constraint factor, the structural optimization model, the solution model of the OC method, the design variables iterative format, are given in this paper and the algorithm with Matlab program is realized. Lastly, a sample vertical tail case is introduced to validate the feasibility of the algorithm by operating the results and analyzing the data.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

280-284

Citation:

Online since:

February 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Bendsoe M P, Kikuchi N. Generating optimal topologies in structural design using a homogenization method [J]. Computational Methods in Applied Mechanics and Engineering, 1998, 71(2): 197-244.

DOI: 10.1016/0045-7825(88)90086-2

Google Scholar

[2] Bendsoe M P. Structural optimization of and with advanced materials [M]. Amsterdam: Elsevier Science B. V, (1997).

Google Scholar

[3] Mlejnek H P, R Schirrmacher. An engineer`s approach to optimal material distribution and shape finding computer method in applied mechanic and engineering [J]. Computer Methods in Applied Mechanics and Engineering. 1993, 106(1-2): 1-26.

DOI: 10.1016/0045-7825(93)90182-w

Google Scholar

[4] Tenek L H, Hagiwara I. Optimal rectangular plate and shallow shell topologies using thickness distribution or homogenization[J]. Computer Methods in Applied Mechanics and Engineering, 1994, 115(1-2): 111-124.

DOI: 10.1016/0045-7825(94)90190-2

Google Scholar

[5] Xie Y M, Steven G P. A simple evolutionary procedure for structural optimization [J]. Computers and Structures, 1993, 106(1-2), 1-26.

Google Scholar

[6] Sethian J A, Wiegmann A. Structural boundary design via level set and immersed interface methods[J]. Journal of Computational Physics, 2000, 163: 489-528.

DOI: 10.1006/jcph.2000.6581

Google Scholar

[7] Bendsoe M P, Sigmund O. Material interpolations in topology optimization [J]. Archive of Applied mechanics, 1999, (69): 635-654.

Google Scholar

[8] Luo Zhen, Chen Li-ping, Huang Yu-ying etal. Topological Optimization Design for Continuum Structures [J]. Advances In Mechanics, 2004, 34(04): 463-476.

Google Scholar

[9] Krog L. Topology Optimization of Aircraft Wing Box Ribs[R]. AIAA-2004-4481, (2004).

DOI: 10.2514/6.2004-4481

Google Scholar

[10] Rozvany G I N, Kirsch U, Bendsoe M P, Sigmund O. Layout optimization of structures [J]. Apply Mech Rev, 1995, 48: 41-119.

Google Scholar

[11] Stolpe M, Svanberg K. An alternative interpolation scheme for minimum compliance topology optimization [J]. Structural and Multidisciplinary Optimization, 2001, 22(2): 116-124.

DOI: 10.1007/s001580100129

Google Scholar

[12] Sigmund O. A 99 line topology optimization code written in Matlab [J]. Structuraland Multidisciplinary Optimization, 1999, 21: 120-127.

DOI: 10.1007/s001580050176

Google Scholar