| This thesis is focused on vibration analysis of an optical fiber coupler subjected to a shock motion. A linear dynamic model is developed after proper assumptions are made. For an optical fiber coupler with two spring supports, the bundle of optical fibers is modeled as a linear string, the substrate is modeled as a Euler-Bernouli beam, and the silicon rubber pads are modeled as two linear springs. For the optical fiber coupler with an elastic continuous support, the bundle of optical fibers is modeled as a linear string, the substrate is modeled as a Euler-Bernouli beam, and the continuous silicon rubber pad is modeled as a linear elastic foundation. In order to solve the equation of motion, a transformation of coordinate system is introduced. Natural frequencies and normal modes of the beam and the string are obtained using eigenvalue solutions. Furthermore, the mode superposition method is employed to obtain the dynamic response of the optical fiber coupler. |
