Research in brake squeal has been conducted for over fifty years in many different areas and still it is not completely understood. Experimental testing is very time consuming, therefore, there is a need for the development of an analytical model to simulate the test results prior to the prototype stage has arisen in order to gain a deeper understanding of the physics of the system. In this thesis analytical beam and annular plate models in order to investigate the vibrational behaviour of an automotive brake discs are presented and compared to experimental measurements.