摘要
针对目前谐波平衡法分析高维非线性动力学系统存在求解困难等问题,文中基于增量谐波平衡法(incremental harmonic balance method,IHB法)能将高维非线性方程组转化为线性方程组进行求解的优点,将其推广应用到含强非线性干摩擦力失谐叶盘系统振动响应特性研究中,成功避开谐波平衡法必须求解非线性方程组的问题。研究表明,推广后的IHB法能较好地解决含强非线性摩擦力失谐叶盘系统响应求解的诸多问题,并且运用该方法成功发现含非线性摩擦阻尼的谐调叶盘系统也可能产生振动能量局部化现象。
Focused on problems in solution of analyzing high-dimensional non-linear dynamic system with harmonic balance method,the incremental harmonic balance method（IHB） can transform high-dimensional non-linear equations into linear equations to reach the solution.It was extended to the study on response characteristics of bladed disks vibration with strong mistuned non-linear dry friction based on that advantage,thus successfully avoiding the necessary solution to non-linear equations.Studies reveal that generalized IHB method can solve various problems better in solving response of bladed disks with strong mistuned non-linear friction,and has discovered that bladed disks with tuned non-linear friction damping may also cause the localization of vibratory energy.
出处
《机械强度》
CAS
CSCD
北大核心
2012年第2期159-164,共6页
Journal of Mechanical Strength
基金
国家重点基础研究发展计划(973计划)分课题(2007CB707706)~~
关键词
非线性
增量谐波平衡法
失谐叶盘系统
振动能量局部化
Non-linear
Incremental harmonic balance method
Mistuned bladed disks
Localization of vibratory energy
