Browsing by Subject "Shells (Engineering)"
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Item A finite element analysis of the static and dynamic behavior of the automobile tire(Texas Tech University, 1977-05) Parikh, Prashant DA mathematical model to represent a radial ply passenger car tire has been developed for axisymmetric and asymmetric static and dynamic eigenvalue analysis by the use of a direct stiffness finite element method. Linear analysis is performed. The tire is considered as a thin shell of revolution. The finite element chosen has a shape of a conical frustrum with five degrees of freedom at each node in the local coordinate system of the element. The tire properties have been derived by assuming the tire to be composed of thin layers of composite materials, linearly orthotropic in nature. Hamilton's principle has been applied to derive the equation of motion of the element. In the case of asymmetric static analysis, fifteen Fourier harmonic terms have been used to represent the as)TTimetric loading and deformation. The equation for the static case has been solved by employing the Gauss elimination method. Three different types of pressure distributions have been assumed to simulate the actual pressure distribution in the tire footprint area. The natural frequencies and the associated set of mode shapes have been evaluated by employing a method based on a modified version of Lanczos' n-step iteration procedure. The analysis predicts experimentally verifiable deformed shapes under static loading, and natural frequencies of vibration and associated mode shapes with good accuracy.Item A mathematical treatment of the radial tire modeled as a rotating cylindrical shell on an elastic foundation(Texas Tech University, 1977-05) Roy, Tridib KumarA mathematical model has been developed which adequately represents the static and dynamic behavior of a radial tire. The tire has been treated as a rotating cylindrical shell on an elastic foundation. The motion has been restricted to the plane of the tire only. The principle of minimum energy is employed to derive the equations of motion. Both free and forced vibration cases are discussed. An expression for the natural frequencies has been obtained. For the forced vibration case, the applied force and the solutions for the radial and tangential deflections have been written in Fourier series expansion form. Three different footprint pressure distribution profiles are assumed. The Laplace transforms and convolution theorem are used for the analysis. Both steady-state and transient solutions for the deflections have been obtained. As a limiting case of the steady state analysis, the static deflection case has been derived. The condition of instability has been examined to determine the limiting speed at or above which standing wave phenomena occur. The shell equations have been applied to determine the stresses in the tire belt in terms of the deflections for both static and dynamic cases. Variations of static stresses and cord forces around the periphery of the tire have been evaluated. The analysis predicts the natural frequencies, various mode shapes and contour shapes under static loadings with reasonable accuracy. The influences of different constructional and design parameters, including the effect of speed of rotation, on the natural frequencies are shown. The variations of cord forces with load have also been presented. The influence of the speed of rolling on the vertical deflection has been determined. The results are in close agreement with the experimental observations.Item Analysis of doubly corrugated shell structures by the finite element method.(Texas Tech University, 1974-08) Mang, Herbert AntonNot availableItem Extended Finite Strip Method for Prismatic Plate and Shell Structures(Texas Tech University, 1971-05) Siddiqi, Ghulan HusainNot Available.Item General instability of a cylindrical shell with conical ends subject to uniform external pressure(Texas Tech University, 1969-08) Manning, Sherrell DaneNot available