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A practical method for the optimal design of continuous footing using ant-colony optimization
Boonchai Ukritchon, Suraparb Keawsawasvong, 2016, original scientific article

Abstract: The objective of this paper is to present a practical method for the optimal design of a continuous footing subjected to vertical and horizontal loads. The design problem of finding the optimal size of footing as well as the minimum steel reinforcement is formulated in a nonlinear minimization form. The continuous footing is subjected to the vertical and horizontal loads acting on the top of the column. There are four design variables in the design problem, i.e., the width of the footing, the thickness of the footing, the soil-embedment depth, and the amount of steel reinforcement. The required geotechnical constraints include the bearing capacity, overturning, as well as global sliding and local sliding at the footing corners. Short-term stability and long-term stability are considered simultaneously in the same formulation. The structural constraints are enforced to control the shear force and bending moment within the section resistance. The formulation of the problem’s constraints leads to the nonlinear programming, whose objective function is to minimize the total cost of the footing material, including the concrete and steel reinforcement. The optimal solution is solved using the ant-colony optimization algorithm MIDACO. The proposed optimization method is demonstrated through the actual design of the footing for supporting a large machine moving on rails.
Keywords: optimal design, footing, stability, nonlinear programming, ant-colony optimization
Published: 18.06.2018; Views: 544; Downloads: 39
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Parameterization based shape optimization : theory and practical implementation aspects
Marko Kegl, 2005, original scientific article

Abstract: This paper presents an approach to parameterization based shape optimization of statically loaded elastic structures. The shape parameterization is based on the design element technique and a rational Bezicr body is used to serve as the design element. Practical implementation issues related to the introduction of design variables are discussed briefly. The design sensitivity calculation is based on the discrete approach. The proposed solution process layout is based on a stand-alone optimization program which makes use of compatiblc analysis programs called simulators. For illustrationpurpose an example problem containing shape and sizing design variables is formulated and solved. The range of use of the proposed approachis illustrated with three further examples.
Keywords: mechanics, structure parameterization, shape optimal design, finite element mesh, body parameterization, design element, Bezier body
Published: 01.06.2012; Views: 1246; Downloads: 58
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