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Paper Information

Journal:   MODARES CIVIL ENGINEERING JOURNAL   APRIL 2017 , Volume 17 , Number 1 ; Page(s) 157 To 166.
 
Paper: 

OPTIMIZATION OF FORM AND TOPOLOGY OF NONLINEAR CONTINUOUS STRUCTURES USING EVOLUTIONARY STRUCTURAL OPTIMIZATION (ESO)

 
 
Author(s):  ALAVINIA YASSER, ABOLBASHARI MOHAMMAD HOSSEIN*
 
* DEPARTMENT OF MECHANICAL ENGINEERING, LEAN PRODUCTION ENGINEERING RESEARCH CENTER, FERDOWSI UNIVERSITY OF MASHHAD, MASHHAD, IRAN
 
Abstract: 

Evolutionary structural optimization (ESO) is based on the simple concept of systematically removing inefficient elements from the structure after each finite element analysis, so that the obtained design is gradually evolved to an optimum. The bidirectional evolutionary structural optimization (BESO) method is a new version of the ESO method in which simultaneous removing and adding elements is allowed. The procedures of removing and adding elements are performed using various criteria. Due to the importance of nonlinear structural analysis, in this study the BESO approach is used. The nonlinearity is assumed for the geometry, material, and for both geometry and material. In the first example, the BESO is applied to maximize the stiffness of a cantilever beam with a time dependent loading. The complementary work for the optimized shapes are compared. It is concluded that using BESO results in a more optimized shape. Optimized shapes for this case were obtained from linear and nonlinear analysis using BESO, and nonlinear analysis using Solid Isotropic Material, with Penalization for intermediate densities (SIMP). In the next example, BESO is applied to optimize the stiffness of a plate with the material nonlinearity. The results show that the nonlinear analysis leads to a much stiffer design. In the third example, a cantilever beam with both material and geometry nonlinearity is considered. The beam is also to be optimized for stiffness. The optimized shapes are compared for linear and nonlinear analysis against the SIMP. The nonlinear analysis with BESO also results in a stiffer design.
Furthermore, the effectiveness of ESO is proved by applying them to some shape optimization problems. The aim is to find the best circular hole so that it possesses a lower stress concentration factor. Design boundary has been set with some control points, and optimization process is only applied to these points. A square plate with a circular hole at its center is optimized for minimizing the stress concentration. The obtained results for linear and nonlinear analysis using ESO are compared with the results obtained using the biological growth method. It is concluded that using ESO, the maximum stress concentration around the boundary of the hole can be significantly decreased with linear analysis and the ESO is a powerful alternative for the biological growth method. Results show that ESO has a superior capability for shape optimization of holes in nonlinear structures, and in this case maximum stress is reduced by 28%.

 
Keyword(s): EVOLUTIONARY STRUCTURAL OPTIMIZATION, NONLINEAR ANALYSIS, SHAPE OPTIMIZATION, STIFFNESS MAXIMIZATION
 
 
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APA: Copy

ALAVINIA, Y., & ABOLBASHARI, M. (2017). OPTIMIZATION OF FORM AND TOPOLOGY OF NONLINEAR CONTINUOUS STRUCTURES USING EVOLUTIONARY STRUCTURAL OPTIMIZATION (ESO). MODARES CIVIL ENGINEERING JOURNAL, 17(1 ), 157-166. https://www.sid.ir/en/journal/ViewPaper.aspx?id=570283



Vancouver: Copy

ALAVINIA YASSER, ABOLBASHARI MOHAMMAD HOSSEIN. OPTIMIZATION OF FORM AND TOPOLOGY OF NONLINEAR CONTINUOUS STRUCTURES USING EVOLUTIONARY STRUCTURAL OPTIMIZATION (ESO). MODARES CIVIL ENGINEERING JOURNAL. 2017 [cited 2021May16];17(1 ):157-166. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=570283



IEEE: Copy

ALAVINIA, Y., ABOLBASHARI, M., 2017. OPTIMIZATION OF FORM AND TOPOLOGY OF NONLINEAR CONTINUOUS STRUCTURES USING EVOLUTIONARY STRUCTURAL OPTIMIZATION (ESO). MODARES CIVIL ENGINEERING JOURNAL, [online] 17(1 ), pp.157-166. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=570283.



 
 
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