Forced response of tires with mass nonuniformities using ring models
Abstract
By introducing an extended membrane strain expression, the equation of motion of a tire based on the ring on an elastic foundation model is derived. This model improves the classical model from a conceptual viewpoint because it produces an n = 1 mode of zero natural frequency for an inflated tire which is removed from its foundation. The natural frequencies and the mode shapes of the perfect tire are obtained by applying the modal synthesis technique, and compared to the classical model. The perfect tire model is extended to the non-uniform tire model by attaching arbitrarily spaced point masses to the treadband of the tire. The masses are connected by two joints both in radial and tangential directions, which improves the previous work. The receptance method is employed to determine the natural frequencies and mode shapes of the tire, which are deviating from axisymmetry due to the attached masses. The receptances of the perfect tire and the attached masses are derived utilizing the modal expansion method. The forced response of the non-uniform tire due to the harmonic force acting in radial direction is studied. The frequency response of the system is obtained and discussed. The kinetic energy of the nonuniform tire is calculated to present the overall movement of the tire. The experimental results are presented in order to verify the theoretical results qualitatively. The experimental results show that the theoretical model predicts the behavior of the non-uniform tire fairly well. The experimental procedure of obtaining frequency responses can be extended to a production quality control approach.
Degree
Ph.D.
Advisors
Soedel, Purdue University.
Subject Area
Mechanical engineering
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