惯容减震系统目标耗能增效设计问题的粒子群算法求解

Application of Particle Swarm Optimization Algorithm in Solving Target Damping Enhancement Design Problem of Inerter System

提出以结构性能需求和目标耗能增效比为约束条件,以惯质比最小化为目标,对惯容系统进行参数优化。选用群智能算法中稳定性好、原理简单的粒子群优化算法作为优化求解手段。首先针对优化问题中涉及的惯容减震结构响应量,基于随机振动理论推导得出其解析表达式。接着在优化问题及解析表达式的基础上,使用Python语言编制粒子群优化算法程序来求解惯容减震系统的目标耗能增效设计问题。最后进行算例设计与分析验证。结果证明,本文方法能够在满足性能需求的前提下,实现对惯容系统耗能增效程度的控制,且优化算法易于实现、求解能力强,可作为减震结构优化设计的有效手段。

The optimization of inerter capacity system parameters is proposed with structural performance requirements and target energy consumption efficiency ratio as constraints and inerter mass ratio as the goal.The particle swarm optimization algorithm,a stable and simple swarm intelligence algorithm,is selected as the optimization solution method.At first,the analytical expression is derived based on the theory of random vibration for the response of the inerter structure involved in the optimization problem.Then according to the optimization problem and the analytical expression,a computer program of the particle swarm optimization algorithm is developed to solve the design problem of the inerter system with targeted damping enhancement.Finally,the example design and analysis verification are carried out.The results show that the proposed method can realize the control of the damping enhancement degree of the inerter system under the premise of meeting the performance demands,and the optimization algorithm is easy to realize with powerful ability of solution,which can be used as an effective means for the optimization design of the damping structure.