Shape optimization for suppressing brake squeal
Shape optimization for suppressing brake squeal
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DOI：
10.1007/s00158-014-1102-2
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发表时间：
2014-12
影响因子：
3.9
通讯作者：
Kohei Shintani;H. Azegami
中科院分区：
文献类型：
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作者：
Kohei Shintani;H. Azegami
提出了一种抑制尖叫噪声的制动模型非参数形状优化问题的求解方法。制动器模型由转子和垫片组成，两者之间存在库仑摩擦。将主要问题定义为由运动方程得到的制动模型的复特征值问题。作为目标成本函数，我们使用复特征值的正实部产生制动尖叫。垫的体积用作约束成本函数。利用主问题和伴随问题的解，求出目标代价函数对域变分的fracimchet导数，即目标代价函数的形状导数。提出了一种基于h梯度法（牵引法）的形状优化迭代求解方案。用简单的转子-垫模型计算结果表明，目标复特征值实部单调减小，满足体积约束。
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 theH1gradient 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.