Vibration analysis of shells of revolution deviating from axisymmetry with application to tires
Abstract
Given the experimental or theoretical natural frequencies and modes of a doubly curved, axisymmetric structure, an analytical method is presented that allows one to obtain the natural frequencies and modes when this structure is non-axisymmetric due to mass or stiffness nonuniformity of the structure. In the case of stiffness nonuniformity, the static force variation of the non-axisymmetric structure is investigated. Some study of out-of-roundness nonuniformity is also presented. First the simplest model of an axisymmetric structure, namely the ring, and treatment of its nonuniformities is investigated to pave the way for treatment of more complicated structures such as tires, for example. Next the linear vibrations of an automotive radial tire with nonuniformity elements is investigated. The work is also focused on the force variation of the ring and the tire due to stiffness and out-of-roundness nonuniformity. The receptance method is employed to determine the natural frequencies and mode shapes of a ring and tire which are deviating from axisymmetry due to multiple mass or stiffness nonuniformity. The receptances of both structures are derived utilizing the model expansion method.
Degree
Ph.D.
Advisors
Soedel, Purdue University.
Subject Area
Mechanical engineering
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