Topology optimization has become a very active area of research and various methods have been proposed to deal with topological optimization problems. Generally, the topology optimization deals with finding the optimal material distribution in a design domain while minimizing the compliance of the structure. In this work, focus has been kept on a topology optimization of a rotating disc having four point loads.

"/> Guide Weight (GW) method, OC method, topology optimization, Q4 element, compliance, tangential and centrifugal forces

"/> Topology optimization has become a very active area of research and various methods have been proposed to deal with topological optimization problems. Generally, the topology optimization deals with finding the optimal material distribution in a design domain while minimizing the compliance of the structure. In this work, focus has been kept on a topology optimization of a rotating disc having four point loads.

"/> Topology optimization has become a very active area of research and various methods have been proposed to deal with topological optimization problems. Generally, the topology optimization deals with finding the optimal material distribution in a design domain while minimizing the compliance of the structure. In this work, focus has been kept on a topology optimization of a rotating disc having four point loads.

"/> Topology optimization has become a very active area of research and various methods have been proposed to deal with topological optimization problems. Generally, the topology optimization deals with finding the optimal material distribution in a design domain while minimizing the compliance of the structure. In this work, focus has been kept on a topology optimization of a rotating disc having four point loads.

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Call for Paper - Upcoming Issues

Topological Optimization using Guide Weight Method

International Journal of Mechanical Engineering
© 2015 by SSRG - IJME Journal
Volume 2 Issue 7
Year of Publication : 2015
Authors : Kavita, Rakesh Saxena, Lalit Ranakoti, Ashish Bedwal
10.14445/23488360/IJME-V2I7P105
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How to Cite?

Kavita, Rakesh Saxena, Lalit Ranakoti, Ashish Bedwal, "Topological Optimization using Guide Weight Method," SSRG International Journal of Mechanical Engineering, vol. 2,  no. 7, pp. 18-22, 2015. Crossref, https://doi.org/10.14445/23488360/IJME-V2I7P105

Abstract:

Topology optimization has become a very active area of research and various methods have been proposed to deal with topological optimization problems. Generally, the topology optimization deals with finding the optimal material distribution in a design domain while minimizing the compliance of the structure. In this work, focus has been kept on a topology optimization of a rotating disc having four point loads.

Keywords:

Guide Weight (GW) method, OC method, topology optimization, Q4 element, compliance, tangential and centrifugal forces

References:

[1]    Akl, W. Sabbagh, K. and Baz, A. 2009. Topology optimization of a plate coupled with acoustic cavity. Int. J. of Solids and struct. 46: 2060–2074
[2]    Allaire, G. and Jouve, F. 2005. A level-set method for vibration and multiple loads structural optimization, Comput. Meth. Appl. Mech. Eng. 19: 3269–3290.   
[3]    Allaire, G. Gournay., F. Jouve, F. and Toader, A. M. 2004. Structural optimization using topological and shape sensitivity analysis via a level-set method, Internal report no. 555, CMAP Ecole Polytechnique
[4]    Amir, O. 2013. A topology optimization procedure for reinforced concrete structures. Computers and Structures. 114–115: 46–58.
[5]    Amir, O. Sigmund., O. Lazarov, B. S. and Schevenels, M. 2012. Efficient reanalysis techniques for robust topology optimization. Comput. Methods Appl. Mech. Engrg. 245–246: 217–231.
[6]    Amstutz, H. and Andra, H. 2006. A new algorithm for topology optimization using a level-set method. J. of Comput. Phy. 216: 573–588.
[7]    Ansola, R. Veguería, E. Canales, J. and Tárrago, J. A. 2007. A simple evolutionary topology optimization procedure for compliant mechanism design. Science Direct. 44: 53–62.
[8]    Bendsoe, M. P. 1989. Optimal shape design as a material distribution problem. Springer-Verlag. 1: 193-202
[9]    Bendsoe, M. P. and Kikuchi, N. 1988. Generating optimal topologies in structural design using a homogenization method. Comput. Appi.  Mech .Eng. 71:197-224
[10]    Bruyneel, M. and Duysinx, P. 2005. Note on topology optimization of continuum structures including self-weight. Stuct. Multidisc Optim. 29:245-256.
[11]     Bureerat, S. and Limtragool, J. 2006. Performance enhancement of evolutionary search for structural topology optimization. Science direct 42:547-566  
[12]    Haber, R. B., Jog, C. B. and Bendose, M. P. 1994. Variable topology shape optimization with a control on perimeter. Adv. Design. Automation Am. Inst. Aeronaut.:261-272
[13]    Huang, X. and Xie, Y. M. 2010. A revised BESO method for structures with design-dependent gravity loads. Challenges, Opportunities and Solutions in Structural Engineering and Construction.  
[14]    James, K. A. and Martins, J. R.R.A. 2012. An isoparametric approach to level set topology optimization using a body-fitted finite-element mesh. Comput. And Struct. 90-91: 97-106
[15]    James, K.A., Lee, E. and Martins, J.R.R.A. 2012. Stress-based topology optimization using an isoparametric level set method. Finite Elements in Analysis and Design. 58: 20–30.
[16]    Jia, H., Beom, H.G., Wang, Y., Lin, S. and Liu, B. 2011. Evolutionary level set method for structural topology optimization. Comput. And Struct. 89: 445–454.
[17]    Kang, Z., Wang, X. and Wang, R. 2009. Topology optimization of space vehicle structures considering attitude control effort. Science Direct. 45: 431—438.
[18]    Lee, E., James, K.A., and Martins, J. R. R. A. 2012. Stress-Constrained Topology Optimization with Design-Dependent Loading. Science Direct.
[19]    Moon, S.J. and Yoon, G.H. 2013. A newly developed qp-relaxation method for element connectivity parameterization to achieve stress-based topology optimization for geometrically nonlinear structures. Comput. Methods Appl. Mech. Engg. 265: 226–241.
[20]    Nomura, T., Nishiwaki, S., Sato, K. and Hirayama, K. 2009. Topology optimization for the design of periodic microstructures composed of electromagnetic materials. Science Direct. 45: 210—226.
[21]    Noilublao, N. and Bureerat, S. 2011. Simultaneous topology, shape and sizing optimisation of a three-dimensional slender truss tower using multiobjective evolutionary algorithms. Comput. And Struct. 89: 2531–2538.
[22]    París, J., Navarrina, F., Colominas, I. and Casteleiro, M. 2010. Improvements in the treatment of stress constraints in structural topology optimization problems. J. of Comput. And Apl. Math.  234: 2231-2238.
[23]    Pingen, G. and Maute, K. 2010. Optimal design for non-Newtonian flows using a topology optimization approach. Science Direct. 59: 2340-2350.
[24]    Rozvany, G. I. N. 2008. A critical review of established method of structural topology optimization. Struct. Multidisc. Optim. Springer- Verlag    
[25]    Sigmund, O. and Clausen, P. M. 2007. Topology optimization using a mixed formulation: An alternative way to solve pressure load problem. Comput. Meth. Appl. Mech. Eng. 196: 1874-1889.  
[26]    Suzuki, K. and Kikuchi, N. 1991. A homogenization method for shape and topology optimization. Comput. Mech. Appl. Mech. Eng. 93: 291-318.
[27]    Tong, L. and Lin, J. 2011. Structural topology optimization with implicit design variable-optimality and algorithm. Science direct. 47: 922–932.
[28]    Xia, Q. Shi, T. Liu, S. and Wang, M. Y. 2012. A level set solution to the stress-based structural shape and topology optimization. Science Direct.  90-91: 55–64
[29]    Xu, H. Guan, L. Chen, X. and Wang, L. 2013. Guide-Weight method for topology optimization of continuum structures including body forces. Finite Elements in Analysis and Design. 75: 38–4.
[30]    Yoon, G. H. 2010. Maximizing the fundamental eigenfrequency of geometrically nonlinear structures by topology optimization based on element connectivity parameterization. Comput. And Struct. 88: 120–133.
[31]    Zhen, L., Yixian, D., Liping, C., Jingzhou, Y. and Malek, K. A. 2006. Continuum topology optimization for monolithic compliant mechanisms of micro-actuators. AMSS Press. 19: 0894-9166.