Abstract

Tire vibrations play an important role in determining vehicle ride characteristics. Tires are complex inflated structures making them difficult to model analytically. Due to this modeling complexity, a majority of researchers have resorted to numerical finite element (FE) based models. The aim of this work is to develop an analytical understanding of how tire constructional (aspect ratio, diameter, tire width, tread depth, stacking sequence) and operational properties (inflation pressure) affect its modal characteristics. The tire is represented as an inflated orthotropic toroidal shell with an elliptical cross-section. We begin with Sanders’ shell theory to formulate the governing equations as a set of partial differential equations. These are further reduced to an eigenvalue problem and solved using Galerkin projection. In our approach, tire properties are retained as free parameters facilitating quick parametric studies to estimate modal properties not possible with time-evasive FE models. The tire considered in this study is a 205/55 R16 aftermarket tire, a four-layered stacked composite. Tire material properties were obtained through a tensile test experiment. For model validation, a detailed FE model was prepared in ABAQUS and experimental modal analysis was also performed. The model shows a good agreement against both FE simulations and experiments.

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