Size and Topological Optimization of Cantilever Beam

Size and Topological Optimization of Cantilever Beam

  ijett-book-cover  International Journal of Engineering Trends and Technology (IJETT)          
  
© 2013 by IJETT Journal
Volume-4 Issue-5                      
Year of Publication : 2013
Authors : S Darshan , Akshay Varik , Anirudh N Katti , Amit Kumar Singh , Rahul R Kamath

Citation 

S Darshan , Akshay Varik , Anirudh N Katti , Amit Kumar Singh , Rahul R Kamath. "Size and Topological Optimization of Cantilever Beam". International Journal of Engineering Trends and Technology (IJETT). V4(5):2077-2082 May 2013. ISSN:2231-5381. www.ijettjournal.org. published by seventh sense research group.

Abstract

Optimization is the process of selecting the best possible results among many possible results under given circumstances. Mathematically it is finding the global maxima or minima of a function. This paper concerns with the optimization of a cantilever beam. The governing idea is to r educe the mass of the beam for a given strength. The cross section under consideration is a rectangular one. A Graphical Approach has been adopted to plot SOM equations on Matlab to obtain a common acceptable domain. A traditional method, Johnson’s method was considered to account for fatigue strength of the material and obtain optimum dimensions. Finally COMSOL software was used to topologically optimize the beam.

References

[1] “ Engineering Optimization ” by Singerisu Rao
[2] Kazuhiro Saitou, ASME September 2005, “ A survey of Structural Optimization in Mechanical Product Development ”
[3] Fabian Wein, LSE 2008, “ Topology Optimization using SIMP Method ”
[4] “ Introduction to Optimization Module ” by COMSOL
[5] http://en.wikipedia.org/wiki/Euler%E2%80%93Bernoull i_beam_equation
[6] http://en.wikipedia.org/wiki/Virtual_work
[7] http://en.wikipedia.org/wiki/Moment_distribution_metho d
[8] http://en.wikipedia.org/wiki/Flexibility_method
[9] http://en.wikipedia.org/wiki/Direct_stiffness_method
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[11] “Optimum Design of Mechanical Elements” by Ray C Johnson
[12] http://alibaba.com/showroom/price

Keywords
Structural Optimization , Cantilever Beam, Johnson’s method, topological optimizati on, COMSOL