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

作　　者：Lele WANG Liang WANG Yueting ZHU Zhanli LIU Yongtao SUN Jie WANG Hongge HAN Shuyi XIANG Huibin SHI Qian DING 

机构地区：[1]Department of Mechanics,Tianjin University,Tianjin 300350,China [2]Tianjin Key Laboratory of Nonlinear Dynamics and Control,Tianjin University,Tianjin 300350,China [3]Department of Otolaryngology,Head and Neck Surgery,Tianjin Children's Hospital,Tianjin University,Tianjin 300400,China [4]School of Aerospace Engineering,Tsinghua University,Beijing 100084,China [5]Department of Otolaryngology Head and Neck Surgery,Beijing Tongren Hospital,Capital Medical University,Beijing 100730,China [6]Key Laboratory of Otolaryngology Head and Neck Surgery,Ministry of Education,Beijing 100730,China [7]Beijing Engineering Research Center of Audiological Technology,Beijing 100730,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2023年第10期1739-1760,共22页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 12072222, 12132010,12021002, 11991032, and 12372019);the State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures of China (No. SKLTESKF1901);the Aeronautical Science Foundation of China (No. ASFC-201915048001)。

摘　　要：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.

关 键 词：crus fracture of stapes stapes reconstruction dynamic analysis bifurcation analysis multiple-time-scale method(MTSM) 

分 类 号：O322[理学—一般力学与力学基础]