含干摩擦耗散结构的非线性模态分析方法研究  

Nonlinear Modal Analysis of Dissipative Structures with Dry Friction

作　　者：王相乾 WANG Xiangqian(College of Energy and Power Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)

机构地区：[1]南京航空航天大学能源与动力学院,江苏南京210016

出　　处：《机械制造与自动化》2023年第6期98-101,共4页Machine Building & Automation

摘　　要：建立了含干摩擦耗散特性的阻尼器结构非线性模态高效分析方法。以干摩擦梁模型为例,综合采用多谐波平衡法及雅可比矩阵快速计算方法,实现含干摩擦梁模型的非线性模态高效分析,提出通过模态应变能法对非线性模态阻尼比计算结果进行验证的技术途径。结果表明:所建立的含干摩擦耗散特性结构的非线性模态高效分析方法能够有效揭示非线性模态频率与非线性模态阻尼比的振幅相关特性,可以直接评估干摩擦阻尼能力,为后期干摩擦装置的动力学设计和优化提供理论指导。An efficient nonlinear modal analysis method for dampers with dry friction dissipation characteristics was established.With a beam model of a dry friction element as an example,the multi-harmonic balance method and jacobian matrix fast calculation method were adopted to realize the efficient nonlinear modal analysis of the beam model with a dry friction element,and a technical approach verifying the calculation results of nonlinear modal damping ratio by modal strain energy method was proposed.The results show that the proposed method can effectively reveal the amplitude correlation between nonlinear modal frequency and nonlinear modal damping ratio,and can directly evaluate the dry friction damping capacity,which provides theoretical guidance for the design and optimization of dry friction structures in the future.

关 键 词：阻尼器 干摩擦 非线性模态 多谐波平衡法 模态应变能法 

分 类 号：V231.92[航空宇航科学与技术—航空宇航推进理论与工程]