报告题目：Nonlinear dynamics of a hinged-hinged flexible beam with fractional damping and DTD feedback control

摘要：In this talk, the complex nonlinear dynamics of a harmonically excited hinged - hinged flexible beam integrated with distributed time - delay (DTD) feedback control and fractional damping is presented. The dynamic model is established. Through perturbation analysis, the Hamiltonian structure of the unperturbed system is classified into single - well (SW), double - well (DW), and triple - well (TW) potential configurations. Explicit analytical expressions for homoclinic, heteroclinic, and periodic orbits within the TW configuration are derived. The Melnikov method is employed to obtain analytical criteria for the onset of Smale horseshoe chaos. The subharmonic bifurcation conditions induced by different periodic intersections are rigorously derived using the subharmonic Melnikov method. The results demonstrate that the chaotic threshold and bifurcation pathways of this system can be effectively modulated by the DTD decay rate and the order of the fractional derivative. Numerical simulations confirm the theoretical predictions and reveal two distinct pathways to chaos.

报告地点：理工北楼数学与统计学院315室

报告时间：2026年5月29日星期五14:40-15:40

报告人简介：周良强，教授、博士生导师，现任南京航空航天大学数学系主任，担任江苏省数学学会理事，以及江苏省动力学与控制、非线性振动、智能系统动力学等专业委员会委员。主要从事非线性动力学理论及应用研究，先后主持国家自然科学基金、中国博士后基金特别资助等多个项目，在高维光滑与非光滑系统、气动弹性系统的多参数稳定性、局部分岔、全局分岔与混沌动力学方向取得了多项有意义的研究成果，已在Chaos、Nonlinear Dynamics、Physica D、ZAMM、Acta Astronautica、Aerospace Science and Technology等应用数学与动力学领域的核心期刊发表SCI论文50余篇。