Dynamic Analysis of Flexible Mechanism with Lubrication Clearances Considering Uncertain Parameters

doi:10.16182/j.issn1004731x.joss.25-1114

Abstract

Abstract:

This paper conducted a dynamic analysis on a seven-link mechanism suitable for a hybrid-driven press, simultaneously considering lubrication clearances, interval parameters, and link flexibility. Based on the Lagrange equations of the first kind, the dynamic equationsof the flexible mechanism with lubrication clearances under deterministic parameters were established; interval variables were introduced to establish a dynamic model considering interval parameters, and the Chebyshev interval algorithm and the $R u n g e - K u t t a$ method were used to solve the response interval curves of interval parameters such as clearances value, dynamic viscosity, and cross-sectional area. The results show that compared with the results under deterministic parameters, each interval parameter has a minor effect on the displacement and velocity of the slider, while the uncertainty of the cross-sectional area causes the peak interval widths of the slider acceleration and the clearances acting force at revolute joint A to reach 1.49 m/s² and 6.06 N, respectively, which has the most significant impact on the motion shock of the mechanism. The research results provide theoretical support for accurately predicting the dynamic characteristics and optimizing the design of multi-link mechanisms.

Key words: interval parameter, lubrication clearances, flexible link, dynamics, multi-link mechanism

CLC Number:

TP391.9

Chen Xiulong, Sun Yi, Wang Aiguo. Dynamic Analysis of Flexible Mechanism with Lubrication Clearances Considering Uncertain Parameters[J]. Journal of System Simulation, 2026, 38(6): 1567-1582.

Figures/Tables 15

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构件	长度/m	质心距离/m	质量/kg	转动惯量/(kg·m²)
曲柄1	0.080	0.040	0.107	1.179×10^-4
连杆2	0.180	0.090	0.219	7.736×10^-4
连杆3	0.318	0.159	0.374	3.595×10^-3
曲柄4	0.080	0.040	0.107	1.179×10^-4
机架5	0.301	—	—	—
连杆6	0.300	0.150	0.354	3.056×10^-3
滑块7	—	—	0.139	6.083×10^-5