Popis: |
The first part of this chapter explains the vibration of structures with two degrees of freedom. It also delves into free vibration of undamped structures, free motion, coordinate coupling, forced vibration, structures with viscous damping, and structures with other forms of damping. The second part of the chapter explains the vibration of structures with more than two degrees of freedom. The vibration analysis of a structure with three or more degrees of freedom can be carried out in the same way as the analysis given for two degrees of freedom. The chapter also discusses the matrix method and looks into orthogonality of the principal modes of vibration and Dunkerley's method. It describes the Lagrange equation, receptance analysis, and impedance and mobility analysis. It concludes with a brief explanation of modal analysis techniques. In this process, independent equations of motion are obtained for each mode of the dynamic response of a multi-degree of freedom system by uncoupling the differential equations of motion. |