Dynamic response of structures with gap constraints. (Volumes I and II)
Abstract
Vibrations of beam and plate structures with gap constraints are studied by an analytical approach to obtain closed form solutions of the global responses of the structures and the force histories as the structures come in contact with constraint supports. Free vibrations, forced vibrations and transient responses due to a moving force are considered. The closed form solution of the equation of motion is found by using the separation of variables and modal expansion techniques. The local contact deformation behavior is modeled by three different contact laws. Hertz law considers the contact to be elastic; Meyer law and an elastic-plastic law consider the contact to be inelastic. This results in a nonlinear integral equation. The integral equation is numerically evaluated by a finite difference procedure. Free vibrations are first considered to study the contact between a gap constraint and a beam or plate when the structure is given an initial deflection. Forced vibrations and transient responses are then studied for beams and plates traveled by a constant force at a constant speed and coming in contact with a gap constraint. The convergence and accuracy of the analytical model and the numerical method are verified. A parametric study is performed.
Degree
Ph.D.
Advisors
Ting, Purdue University.
Subject Area
Civil engineering|Mechanics
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