The material properties of the inner ear structure shown above were obtained from the relevant published references [26 (link),27 (link),28 ]. The material properties of each part of the inner ear in the numerical model in this paper are as follows: Oval window: the elastic modulus is E = 0.2 MPa, Poisson’s ratio is μ = 0.3, density is ρ = 1200 kg/m3, and the damping coefficient is β = 0.5 × 10−4 s. Round window: the elastic modulus is E = 0.35 MPa, Poisson’s ratio is μ = 0.3, and the damping coefficient is β = 0.5 × 10−4 s. Lymphatic fluid (scala vestibuli, scala tympani, scala media, 3 semicircular canals, and lymphatic fluid in the vestibuli): density is ρ = 1000 kg/m3, sound velocity is C = 1400 m/s, the damping coefficient is β = 1.0 × 10−4 s, and viscous damping is D = 0.001 NS/m. BM: As the length of the BM changes, the elastic modulus decreases linearly from 50 MPa at the base of the cochlea to 15 MPa at the middle and then decreases linearly to 3 MPa at the apex. The damping coefficient β varies linearly from 0.2 × 10−3 s at the base to 0.1 × 10−2 s at the apex, with a Poisson’s ratio of 0.3.
Numerical Model of Middle and Inner Ear
The material properties of the inner ear structure shown above were obtained from the relevant published references [26 (link),27 (link),28 ]. The material properties of each part of the inner ear in the numerical model in this paper are as follows: Oval window: the elastic modulus is E = 0.2 MPa, Poisson’s ratio is μ = 0.3, density is ρ = 1200 kg/m3, and the damping coefficient is β = 0.5 × 10−4 s. Round window: the elastic modulus is E = 0.35 MPa, Poisson’s ratio is μ = 0.3, and the damping coefficient is β = 0.5 × 10−4 s. Lymphatic fluid (scala vestibuli, scala tympani, scala media, 3 semicircular canals, and lymphatic fluid in the vestibuli): density is ρ = 1000 kg/m3, sound velocity is C = 1400 m/s, the damping coefficient is β = 1.0 × 10−4 s, and viscous damping is D = 0.001 NS/m. BM: As the length of the BM changes, the elastic modulus decreases linearly from 50 MPa at the base of the cochlea to 15 MPa at the middle and then decreases linearly to 3 MPa at the apex. The damping coefficient β varies linearly from 0.2 × 10−3 s at the base to 0.1 × 10−2 s at the apex, with a Poisson’s ratio of 0.3.
Variable analysis
- None explicitly mentioned
- None explicitly mentioned
- Poisson's ratio of each part of the middle ear structure is 0.3
- Structural damping coefficient is 0.4
- Viscosity of the fluid is 0.001 NS/m^2
- Damping coefficient β of the fluid is 0.0001 s
- Oval window: Elastic modulus E = 0.2 MPa, Poisson's ratio μ = 0.3, density ρ = 1200 kg/m^3, damping coefficient β = 0.5 × 10^-4 s
- Round window: Elastic modulus E = 0.35 MPa, Poisson's ratio μ = 0.3, damping coefficient β = 0.5 × 10^-4 s
- Lymphatic fluid: Density ρ = 1000 kg/m^3, sound velocity C = 1400 m/s, damping coefficient β = 1.0 × 10^-4 s, viscous damping D = 0.001 NS/m
- BM: Elastic modulus decreases linearly from 50 MPa at the base to 15 MPa at the middle and then to 3 MPa at the apex, damping coefficient β varies linearly from 0.2 × 10^-3 s at the base to 0.1 × 10^-2 s at the apex, Poisson's ratio μ = 0.3
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