Understanding Forced Vibration in MDOF Systems

This course covers the intricate concept of forced vibration in multiple degrees of freedom (MDOF) systems. It provides a comprehensive understanding of the derivation of the equation of motion, the transformation of generalized coordinates into modal coordinates, and the decoupling of the system equation. The course also elucidates the method of solving the equation of motion using the Damel integral and finding the response in the original coordinate system. It further discusses the impact of resonance on the structural response and ways to avoid it. The course uses a three-degree-of-freedom system as an illustrative example. Additionally, the course delves into the solution of a MDOF system in the frequency domain, explaining how to solve the equation of motion using the Fourier transform. It also introduces the concept of frequency response function and its application in finding the system response. The course concludes with a practical exercise for learners to apply their knowledge.