摘要
提出了一种求解非线性结构周期解共振峰值的方法。非线性结构共振峰值确定问题转换为非线性限制优化问题。打靶法和Floquet理论用于构建非线性约束条件。基于以序列二次规划方法为局部搜索算法的全局优化MultiStart算法求解该非线性约束优化问题。通过典型数值算例说明此方法的求解正确和高效并将方法应用于分析几何非线性叶盘结构的动力学特性。
The constrained optimization shooting method is presented to determine the resonant peak of nonlinear systems. The proposed method is obtained by a concatenation of 3 methods： the harmonic balance method （HBM） to turn the dynamical problem into an algebraic one, the Floquet theory to determine the solution stability and a MultiStart Algorithm to maximize the vibration amplitude. Finally, the effectiveness and ability of the proposed approach are illustrated through two numerical examples.
出处
《振动工程学报》
EI
CSCD
北大核心
2014年第2期166-171,共6页
Journal of Vibration Engineering
关键词
非线性振动
周期解
打靶法
FLOQUET理论
多重启算法
nonlinear vibration
periodic solution
shooting method
Floquet theory
the muitistart algorithm
