摘要
环状周期结构广泛应用于许多领域。在现有研究中,外载通常作为受迫项影响动力学特性。以工程领域常见的分组对称拓扑构型为典型,采用Galerkin离散和能量方法研究了外载对固有频率分裂行为的影响。首先利用非线性无延展假设及Hamilton原理建立了解析动力学模型,然后采用经典振动理论求解特征值,分析了外载及其衍生刚度的分组数、个数、倾角及组内间隔角等参数对固有频率分裂特性的影响,最终揭示了外载和刚度影响频率分裂规律的相似性。在上述研究的基础上,提出一种通过调整拓扑结构和基本参数抑制频率分裂的解析方法,并采用数值计算方法研究了频率分裂的抑制效果。
Ring-shaped periodic structure is widely used in many fields.In existing studies,external load usually affects its dynamic characteristics as a forced term.Here,taking a grouping symmetric topological configuration commonly used in engineering field as a typical example,effects of external loads on its natural frequency splitting behavior were studied by using Galerkin discrete and energy methods.Firstly,the analytical dynamic model was established by using the nonlinear no extension assumption and Hamilton principle,and then eigenvalues were solved by using classical vibration theory.Effects of external loads and their derived stiffnesses’ grouping number,their number in each group,their inclination angle and spacing angle inside a group on ring-shaped periodic structure’s natural frequency splitting characteristics were analyzed.Finally,the similarity of external load and stiffness affecting frequency splitting law was revealed.Based on the above studies,an analytical method to suppress frequency splitting through adjusting topology structure and basic parameters was proposed,and the suppression effect of frequency splitting was studied with numerical calculation methods.
作者
刘晨
王世宇
高楠
LIU Chen;WANG Shiyu;GAO Nan(School of Mechanical Engineering,Tianjin University,Tianjin 300350,China;Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education,Tianjin University,Tianjin 300350,China;Tianjin Key Laboratory of Nonlinear Dynamics and Control,Tianjin 300350,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2022年第21期257-264,共8页
Journal of Vibration and Shock
基金
国家重点研发计划(2018YFB2001300)
国家自然科学基金(52175109,51721003,51675368)。
关键词
环状周期结构
外载
支撑刚度
分组对称
固有频率分裂
ring-shaped periodic structure
external load
support stiffness
grouping symmetry
natural frequency splitting
