Beam Dynamic Equations for Predictive Modeling of Semicircular Canal Pathologies
Main Article Content
Abstract
This short paper presents a general strategy devoted to an original analytical approach of looped 1.5D equations. It considers particular properties of rod/beam equations for wave and structural modal representation. Specific boundary conditions introduce local singularities representing discontinuities and inversions. The process presented in the paper links this kind of original analysis with possible models of the physiological and pathological dynamic behavior of solid-fluid interaction in inner-ear elements such as the anterior and superior semicircular canals. Thus, these models propose a robust representation of these elements, offering observation/control perspectives for diagnostics and cure.
Downloads
Article Details
Copyright (c) 2024 Gourinat Y, et al.

This work is licensed under a Creative Commons Attribution 4.0 International License.
Miguel C, Núñez IF, Gourinat Y, Matignon D. Port-Hamiltonian formulations of some elastodynamics theories of isotropic and linearly elastic shells: Naghdi–Reissner’s moderately thick shells. Appl Sci. 2023;13(4):2608 Available from: https://www.mdpi.com/2076-3417/13/4/2608.
Gourinat Y, Rolland A, Hanchin T. Constitutive equations of structural dynamics. Course M2 level, ISAE; 2024;144.
Iversen M, Rabbitt R. Wave mechanics of the vestibular semicircular canals. Biophys J. 2017;113(5):1133-1149.Available from: https://doi.org/10.1016/j.bpj.2017.08.001
Graf W, Klam F. The vestibular system: comparative and functional anatomy, evolution and development. 2006;5(3-4):637-655. Available from: https://www.sciencedirect.com/science/article/pii/S1631068305001867.
Vidal C. Dizziness and disorders of balance. Accessed July 18, 2024. Available from: https://www.docteurvidal-iec.com/otoneurologie/vertiges.html.