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ISSN : 1026-3098
e-ISSN : 2345-3605
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Publication Information : Volume 23 - Number 2 - Successive Number 2
Type : Research Note
Topics of Paper : Transaction on Civil Engineering
English Title : Structural Optimization by Spherical Interpolation of Objective Function and Constraints
English Abstract : A new method for structural optimization is presented for successive approximation of the objective function and constraints in conjunction with Lagrange Multipliers Approach. The focus is on presenting the methodology with simple examples. The basis of the iterative algorithm is that after each iteration it brings the approximate location of the estimated minimum closer to the exact location gradually. In other words, instead of the linear or parabolic term used in Taylor expansion which works based on a short step length, an arc is used that has a constant curvature but a longer step length. Using this approximation, the equations of optimization involve the Lagrange multipliers as the only unknown variables. The equations which depend on the design variables are decoupled linearly as these variables are directly obtained. One mathematical example is solved to explain in details how the method works. Next the method is applied to the optimization of a simple truss structure to explain how the method can be used in structural optimization. The same problems have been solved by penalty method and compared. The results from both methods have been the same. However because of the long step length and reduction in the number of variables, the speed of convergence has been higher in the presented method.
English Keywords : spherical interpolationn-dimensional sphere, radius of curvature, reference point, Lagrange multipliers, constrained problems
Refrences :
Number Of Pages :
From 548 to 557


Authors :
The AuthorAuthor SequenceOrganizationOrganization ( english )AffiliationEmailEducation
H. Meshki 1Department of Civil Engineering, Science and Research branch, Islamic Azad University, P.O. Box 14515-775,Tehran, Iran  h.meshki@sriau.ac.ir 
Dr. A. Joghataie
(Author)
2Faculty Member, Department of Civil Engineering, Sharif University of Technology, P.O. Box 11155-9313, Tehran, Iran  joghatae@sharif.edu 
Published Issues
2017
Transactions on Civil Engineering
Transactions on Mechanical Engineering
Transactions on Industrial Engineering
2016
2015
Transactions on Civil Engineering
Transactions on Mechanical Engineering
Transactions on Chemistry and Chemical Engineering
Transactions on Computer Science & Engineering and Electrical Engineering
Transactions on Industrial Engineering
Transactions on Nanotechnology
2014
Transactions on Civil Engineering
Transactions on Mechanical Engineering
Transactions on Chemistry and Chemical Engineering
Transactions on Computer Science & Engineering and Electrical Engineering
Transactions on Industrial Engineering
Transactions on Nanotechnology
2013
Transactions on Civil Engineering
Transactions on Mechanical Engineering
Transactions on Chemistry and Chemical Engineering
Transactions on Computer Science & Engineering and Electrical Engineering
Transactions on Industrial Engineering
Transactions on Nanotechnology

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