基于谐波平衡-时频转换法的摩擦振子稳态响应分析  

Analysis of steady responses for a frictional oscillator based on the Harmonic Balance-Alternating Frequency/Time Domain Method

作　　者：康佳豪 徐超[1] 李东武[1] 任怀宇[2] KANG Jiahao;XU Chao;LI Dongwu;REN Huaiyu(School of Astronautics,Northwestern Polytechenical University,Xi’an 710072,China;China Academy of Launch Vehicle Technology,Beijing 100076,China)

机构地区：[1]西北工业大学航天学院,西安710072 [2]中国运载火箭技术研究院,北京100076

出　　处：《振动与冲击》2020年第12期170-176,205,共8页Journal of Vibration and Shock

基　　金：国防基础科研挑战计划(TZ2018007);国家自然科学基金委员会与中国工程物理研究院联合基金(U1530139)。

摘　　要：在振动环境中,连接结构的接合面上存在复杂的摩擦接触行为。当受到不同幅值的切向激励时,界面可能出现微滑和宏滑两种不同的摩擦行为。准确高效地求解同时考虑微滑和宏滑的摩擦振子稳态响应对连接结构设计与优化具有重要的参考意义。采用连续弹簧滑块模型(Iwan模型)描述接合面上的跨尺度摩擦行为,通过多谐波平衡和时频转换组合方法求解了单自由度和多自由度摩擦振子稳态响应。结果表明该方法具有很高的精度,并且计算效率远高于传统数值积分方法;选取的谐波截断阶次越高,对摩擦恢复力的求解越精确;频响分析表明摩擦非线性使振子幅频响应表现出了刚度软化、谐波共振等非线性现象。Complex contact and frictional behaviors appear on the interface of jointed structures in vibration environment.When subjected to different tangential excitation,the interface may have different frictional behaviors:micro-slip and macro-slip.Solving the steady-state response of frictional oscillators considering micro/macro-slip accurately and efficiently is of great significance to the design and optimization of jointed structures.The steady-state response of single/multi-degree of freedom frictional oscillators was solved by using the continuous spring-slider model(Iwan model)to describe the cross-scale frictional behavior on the jointed surface,and combing the multiple harmonic balance method and the alternating frequency/time domain method.Results show that the method has high accuracy and higher computational efficiency than conventional numerical integration methods.The higher the truncated harmonic order,the more accurate the frictional restoring force.The frequency response analysis shows that the frictional nonlinearity results in nonlinear phenomena of stiffness softening and harmonic resonance for the amplitude-frequency response.

关 键 词：摩擦振子 微观滑移 宏观滑动 多谐波平衡 时频转换法 稳态响应 

分 类 号：TH212[机械工程—机械制造及自动化] TH213.3