2024-03-28T10:05:59Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00023510
2023-01-16T04:13:13Z
312:313:314
Shape optimization for suppressing brake squeal
Shintani, Kohei
69762
Azegami, Hideyuki
69763
Shape optimization
Brake squeal
Complex eigenvalue
Self-excited vibration
Shape derivative
H1 gradient method
Traction method
The present paper describes a solution to a non-parametric shape optimization problem of a brake model to suppress squeal noise. The brake model consists of a rotor and a pad, between which Coulomb friction occurs. The main problem is defined as a complex eigenvalue problem of the brake model obtained from the equation of motion. As an objective cost function, we use the positive real part of the complex eigenvalue generating the brake squeal. The volume of the pad is used as a constraint cost function. The Fréchet derivative of the objective cost function with respect to the domain variation, which we refer to as the shape derivative of the objective cost function, is evaluated using the solution of the main problem and the adjoint problem. A scheme by which to solve the shape optimization problem using an iterative algorithm based on the H1 gradient method (the traction method) for reshaping is presented. Numerical results obtained using a simple rotor-pad model reveal that the real part of the target complex eigenvalue decreases monotonically, thus satisfying the volume constraint.
journal article
Springer
2014-12
application/pdf
Structural and Multidisciplinary Optimization
6
50
1127
1135
http://doi.org/10.1007/s00158-014-1102-2
http://hdl.handle.net/2237/25702
1615-147X
https://nagoya.repo.nii.ac.jp/record/23510/files/main.pdf
eng
https://doi.org/10.1007/s00158-014-1102-2
The final publication is available at Springer via http://doi.org/10.1007/s00158-014-1102-2