Brake squeal is a self-excited vibration induced by friction between the brake disk or drum and the brake linings or shoes, respectively. Modeling this phenomenon accurately is known to be challenging because of many microscopic properties influencing the macroscopic dynamics. In most current modeling approaches, geometric, material and contact properties are assumed to be perfectly homogeneously distributed around the brake disk or drum. However, in some experiments, brake squeal only appears when the contact is in some regions of the brake drum with respect to the angle of rotation. I.e., the angular-dependent change in the properties may crucially affect the dynamical behavior of the system. Thus, the assumption of homogeneity is not reasonable in such cases and does not allow to explain the transition from silence to squealing and vice versa as can be observed in such cases with intermittent squeal. This work attempts to integrate the influences of the angle of rotation into the modeling. For this purpose, a nonlinear 2-DOF model with sectional rotational angle-dependent circulatory and gyroscopic parameters is identified by linear regression. The sectional models are examined with regard to their solutions stability. The transition from a model with asymptotically stable limit cycle, a model with coexisting asymptotically stable limit cycle and asymptotically stable trivial solution as well as a model with only asymptotically stable trivial solution is demonstrated.