A Cyclosymmetric Beam Model and a Spring-Supported Annular Plate Model for Automotive Disc Brake Vibration

Table 1

Boundary conditions for the brake disc model.

	Free-free	Simply supported free	Clamped free
Inner boundary, 𝑟=𝑎	𝑀𝑟(𝑎,𝜃,𝑡)=0	𝑢(𝑎,𝜃,𝑡)=0	𝑢(𝑎,𝜃,𝑡)=0
	𝑉𝑟(𝑎,𝜃,𝑡)=0	𝑀𝑟(𝑎,𝜃,𝑡)=0	𝜕𝑢(𝑎,𝜃,𝑡)/𝜕𝑟=0
Outer boundary, 𝑟=𝑏	𝑀𝑟(𝑏,𝜃,𝑡)=0
	𝑉𝑟(𝑏,𝜃,𝑡)=0