Nonlinear dynamic response and stability analysis of the stapes reconstruction in human middle ear

doi:10.1007/s10483-023-3037-9

Abstract

Abstract: Stapes fracture causes hearing loss and instability in the middle ear hearing system (MEHS). The material used in the stapes reconstruction restores stapes, but the effects of the nonlinear material parameters on the stability of the MEHS are still unknown. To address this challenge, the nonlinear dynamic response and stability of the stapes reconstruction are investigated using a multi-degree-of-freedom mechanical model. The material parameters of the implant are tentatively determined by analyzing the natural frequencies of the undamped system. The dynamical properties of the MEHS are characterized under different external excitations. The approximate solution of the MEHS near the resonant frequency is derived through the multiple-time-scale method (MTSM). The results show that the nonlinear stiffness of the material has little influence on the MEHS in the healthy state, but it causes resonant phenomena between the ossicle and the implant in the pathological state.

Key words: crus fracture of stapes, stapes reconstruction, dynamic analysis, bifurcation analysis, multiple-time-scale method (MTSM)

2010 MSC Number:

74H45

Lele WANG, Liang WANG, Yueting ZHU, Zhanli LIU, Yongtao SUN, Jie WANG, Hongge HAN, Shuyi XIANG, Huibin SHI, Qian DING. Nonlinear dynamic response and stability analysis of the stapes reconstruction in human middle ear. Applied Mathematics and Mechanics (English Edition), 2023, 44(10): 1739-1760.

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