Understanding Vibration in Dynamic Systems

This course covers the fundamentals of vibration problems in dynamic systems, focusing on continuous modeling. It explains the difference between discrete and continuous systems, the characteristics of dynamic systems, and the modeling of undamped and damp systems. The course also discusses the effects of vibration, such as resonance, fatigue, and serviceability, using real-life examples like the motion of a guitar string, the swaying of tall buildings due to earthquakes, and the vibration felt in a car or train. The course concludes with a detailed explanation of the mathematical properties of periodic functions, the concept of degrees of freedom, and the characteristics of a dynamic system. It also covers the response of a system subjected to arbitrary excitation, the application of transform techniques in solving dynamic systems, and the use of integral transform, particularly Laplace and Fourier transforms, in vibration analysis of linear systems.