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The tire is one of the most important parts, which influence the noise, vibration, and harshness of the passenger cars. It is well known that effect of rotation influences tire vibration characteristics, and earlier studies presented formulas of tire vibration behavior. However, there are no studies of tire vibration including lateral vibration on effect of rotation. In this paper, we present new formulas of tire vibration on effect of rotation using a three-dimensional flexible ring model. The model consists of the cylindrical ring represents the tread and the springs represent the sidewall stiffness. The equation of motion of lateral, longitudinal, and radial vibration on the tread are derived based on the assumption of inextensional deformation. Many of the associated numerical parameters are identified from experimental tests.

Three-dimensional computer aided design technology has made remarkable advances in the manufacturing industry and has been applied to various products and scopes (e.g., motorcycle manufacturing). In addition, by adopting the finite element method (FEM), we can analyze the dynamic behaviors of products accurately. In the design stage, modal analysis using FEM calculates the natural mode shapes and frequencies of an object or structure during free vibration. To reduce the vibration or noise, natural mode shapes and the kinetic and potential energy distribution are confirmed. However, it is still difficult to design mechanical components for vibration reduction based on this information. This study presents the extraction of mechanical components for vibration reduction and a mechanical design using the tuned frequency of that component.