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A hybrid CBO-PSO algorithm for optimal design of truss structures with dynamic constraints

机译:具有动态约束的桁架结构优化设计的混合CBO-PSO算法

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摘要

The vibration domain of structures can be reduced by imposing some constraints on their natural frequencies. For this purpose optimal design of structures under frequency constraints is required which involves highly non-linear and non-convex problems. In this paper an efficient hybrid algorithm is developed for solving such optimization problems. This algorithm utilizes the recently developed colliding bodies optimization (CBO) algorithm as the main engine and uses the positive properties of the particle swarm optimization (PSO) algorithm to increase the efficiency of the CBO. The distinct feature of the present hybrid algorithm is that it requires no parameter tuning. The CBO is known for being parameterin dependent, and avoiding the use of the traditional penalty method to handle the constraints upholds this property. Two mathematical constrained functions taken from the literature are studied to verify the performance of the algorithm. The algorithm is then applied to optimize truss structures with frequency limitations. The numerical results demonstrate the efficiency of the presented algorithm for this class of problems. (C) 2015 Elsevier B.V. All rights reserved.
机译:通过对结构的固有频率施加一些约束,可以减少结构的振动域。为此,需要在频率约束下对结构进行优化设计,这涉及高度非线性和非凸问题。本文提出了一种有效的混合算法来解决此类优化问题。该算法利用最近开发的碰撞体优化(CBO)算法作为主要引擎,并利用粒子群优化(PSO)算法的积极特性来提高CBO的效率。本混合算法的显着特征是它不需要参数调整。众所周知,CBO依赖于参数,并且避免使用传统的惩罚方法来处理约束,从而保持了此属性。研究了从文献中获得的两个数学约束函数,以验证算法的性能。然后将该算法应用于优化具有频率限制的桁架结构。数值结果证明了该算法对此类问题的有效性。 (C)2015 Elsevier B.V.保留所有权利。

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