A non-uniform cylindrical shell model for tire-pavement interaction noise simulations

摘要

Tire-Pavement Interaction Noise (TPIN) is one of the main pollutants in highly populated areas, especially near highways and main roads. This phenomenon is caused by multiple mechanisms involving the excitation of the tire structure, with a dominant frequency content within 500-1500 Hz. In this work, the theoretical development of a new cylindrical shell model for simulating the vibratory response of a rolling tire is presented. Starting with the classic Donnell-Mushtari-Vlaslov (DMV) theory for orthotropic shells, the equations of motion are simplified. A new single equation defining the radial dynamic behavior of the shell is derived. Orthotropic structural properties are assumed in an effort to accurately replicate those of an actual tire. Non-uniform structural properties along its transversal direction are used to account for differences between its sidewalls and the belt. The effects of rotation and inflation pressure have also been included in the formulation. Finally, the process to compute the response of the tire is presented. This is defined by modes along the transversal direction and waves propagation along its circumferential direction.