Abstract
The present paper describes an application of non-parametric shape optimization to brake squeal phenomena. A main problem is defined as complex eigen value problem and a real part of the complex eigenvalue causing the brake squeal is chosen as an objective cost function. The Fre'chet derivative of the objective cost function with respect to the domain variation, which we call the shape derivative of the objective cost function, is evaluated using the solution of the main problem and the adjoint problem. To cope with numerical error of Fre'chet derivative caused by using component mode synthesis (CMS), we investigated the effect of the adoptive mode number on the complex eigen value. A scheme to solve the shape optimization problem is presented using an iterative algorithm based on the H^1 gradient method for reshaping. A numerical result of a detail brake model illustrates that the real part of the target complex eigenvalue monotonously decreases.
