Abstract
Vibration characteristics are an important factor for the stability of structures. Up to now, a ring model is used as a typical model for structures, and then irregularity of point mass distribution has been a main issue for the research works. In this paper, in-plane vibration of thermo-elastic micro ring structures with finite sized imperfection is to investigate. Then, in-extensionality of the model is assumed, and multiple local deviations in structure are to be represented by Heaviside step functions. Fourier's one-dimensional heat conduction equation is to analyze, and Laplace transform method is used to solve the governing equations to obtain analytical solution. In order to determine Quality factor (Q-factor) of ring model, primarily, the split of the natural frequencies are discussed with the irregularity of mass and stiffness. And the mode shapes are compared between perfect and imperfect ring models.
