基于混合萤火虫算法的桥梁颤振分析方法

Flutter analysis for bridges based on a hybrid firefly algorithm

在进行颤振临界状态分析时需要求解高次非线性方程组,为了克服传统解法的缺陷,采用混合萤火虫算法对方程组进行求解。使用双参数优化模型,将桥梁颤振临界状态的求解问题转化为优化问题。为弥补萤火虫算法的不足,在萤火虫算法基础上,将量子遗传算法的量子计算、交叉和变异操作与萤火虫算法相结合,提出一种混合萤火虫算法。最后,通过若干试验对比分析,证实了该优化模型的可靠性及求解方法的有效性。

When performing flutter analysis,high-order strong nonlinear equations need to be solved. For overcoming the difficulties encountered by traditional methods, a hybrid firefly algorithm was used to solve the equations. The solution of the critical flutter state problem was converted to an optimization problem by using a double-parameter optimization model. Therefore the optimization model can be employed to calculate the critical velocity and the critical frequency of two or three degrees of freedom flutter. To compensate shortcoming of the firefly algorithm, a hybrid firefly algorithm was proposed and used for searching the optimal solution of the optimization model. Finally, the reliability and the validity of the optimization model as well as its solution were confirmed by numerical and experimental examples.