Journals Books 2687-5527
Latest Issue Archive Future Issues About Us
Conference Proceedings

SETSCI - Volume 4(5) (2019)
HORA2019 - International Congress on Human-Computer Interaction, Optimization and Robotic Applications, Ürgüp, Turkey, Jul 05, 2019

Theoretical & Experimental Shape Optimization Of Cantilever Beam by Constrained Optimization Method
Uğur Poyraz1*, L. Özlem Akkan2, Şahin Yavuz3
1Dokuz Eylül University, İzmir, Turkey
2Dokuz Eylül University, İzmir, Turkey
3Dokuz Eylül University, İzmir, Turkey
* Corresponding author:
Published Date: 2019-10-12   |   Page (s): 162-166   |    433     36

ABSTRACT The term structural optimization is commonly used for the optimization of engineering structures, such as building, automobile, or airplane structures for improved strength, stiffness properties, fatigue life and reduced weight or cost. Main purpose of this study is to find a practical and proven method to reduce the weight of cantilever beam by using constrained optimization method with respect to desired stress levels. Thus, reducing the weight of components which are similar material and geometry used such as heavy commercial vehicle wheels ventilation holes shows that this approach will be applicable. Additionally, due to reducing weight of heavy commercial vehicle wheels fuel efficiency and cooling performance of brake/hub system increased, if only if desired stress levels are provided. Constrained optimization method is used to ensure that stress levels remain within acceptable limits while optimizing the weight of the cantilever beam. This study conducted in two stages. Firstly, constrained optimization problem is simulated in Altair Hypermesh which is well known computer aided engineering program in literature and industry. Design variable is the hole shape on the cantilever beam. This hole shape constrained to grow or shrink only one planar plane and as a principal stress is restricted 75MPa or less under 9,81N vertical force. On second stage optimized cantilever beam design which is obtained by simulation result is produced. A strain rosette is applied on optimized hole shape critical point. Strain values are measured under same load conditions which are as same as simulation loads. Strain rosette values are converted to principal stress for comparison to simulation results. In this way optimization results are verified by experimental application. Initial design principal stress simulation result is calculated 132,3MPa where this result reduced to 74,6MPa after optimization study. Experimental principal stress measurements are observed 70,2MPa which is around %6 lower than simulation results. And design variable hole weight reduction is observed 11,2gr to 4,7gr which is 2,38 times lighter. Achieved results leads to cost saving on components. Beside cost saving, constrained optimization method may mitigate heavy commercial wheels weight as a first benefit. Due to weight reduction, inertial resistances will decrease and this effect leads to increase fuel efficiency. Additionally, heavy commercial truck vehicle brake/hub systems cooling performance will be positively affected.
KEYWORDS Structural Optimization, Shape Optimization, Strain Measurement, Cantilever Beam Design, Constrained optimization

[2] "Altair Enlighten," Altair Enlighten, 7 March 2016. [Online]. Available: [Accessed 17 JULY 2019].

[3] "National Instruments," 24 May 2019. [Online]. Available:

[4] "National Instruments," 19 May 2019. [Online]. Available:

[5] "Perfect Cost Grid," 2019. [Online]. Available:[Accessed 17 JULY 2019].

[6] A. MESSAC, Optimization in Pratice with MATLAB for Engineering Students and Professionals, New York: Cambridge University Press, 2015.

SET Technology - Turkey

eISSN  : 2687-5527    

E-mail :
+90 533 2245325

Tokat Technology Development Zone Gaziosmanpaşa University Taşlıçiftlik Campus, 60240 TOKAT-TURKEY
©2018 SET Technology