Structural Vibration

This learning track covers the fundamental principles of structural dynamics, motion, and vibrations, with a focus on Newton's laws, D'Alembert's principle, and Simple Harmonic Motion (SHM). It provides a comprehensive understanding of Duff System Modelling, Vibration Modelling, and the Response Spectrum Method. The track also delves into the concept of degrees of freedom, explaining how it defines the deformed shape of a body. For instance, a pendulum and a portal frame are used as illustrative examples. The track further explores the dynamics of a simple pendulum, the role of damping force, and the application of energy conservation principles in structural engineering. It also covers the numerical implementation of Duhamel's Integral in MATLAB to solve for the response due to arbitrary loading in a system. Lastly, the track discusses the Fourier series representation and its application in structural dynamic analysis, including the calculation of the coefficients of a Fourier series.