基于谐波平衡-时频转换法的摩擦振子稳态响应分析

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (12) : 170-176.

论文

康佳豪1，徐超1，李东武1，任怀宇2

作者信息 +

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

KANG Jiahao1,XU Chao1,LI Dongwu1,REN Huaiyu2

Author information +

文章历史 +

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。

Abstract

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 oscillator considering micro/macro-slip accurately and efficiently is of great significance to the design and optimization of jointed structures. Using the continuous spring-slider model (Iwan model) to describe the cross-scale frictional behavior on the jointed surface, and combing multiple harmonic balance method and alternating frequency/time domain method to solve the steady-state response of single/multi-degree of freedom friction oscillators. Results showed that the method has high accuracy and higher computational efficiency than conventional numerical integration method. The higher the truncated harmonic order, the more accurate the frictional restoring force is. The frequency response analysis showed that the friction nonlinearity results in nonlinear phenomena of stiffness softening and harmonic resonance for the amplitude-frequency response.

导出引用

康佳豪1，徐超1，李东武1，任怀宇2. 基于谐波平衡-时频转换法的摩擦振子稳态响应分析[J]. 振动与冲击, 2020, 39(12): 170-176

KANG Jiahao1,XU Chao1,LI Dongwu1,REN Huaiyu2. Analysis of steady responses for a frictional oscillator based on the Harmonic Balance-Alternating Frequency/Time Domain Method[J]. Journal of Vibration and Shock, 2020, 39(12): 170-176

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