Mechanical Scaling: Lumped Element Modelling

This lecture introduces the concept of Lumped Element Modelling (LEM) in mechanical systems, simplifying complex systems into discrete elements that exchange energy. The lecture covers the equations of motion for a mass connected to a spring and damper, the modeling of complex springs, and the representation of a complex deformation as a simple spring. It also discusses the modeling of a simple cantilever and the use of lumped-parameter modeling in mechanics to reduce mechanical structures to mass-spring models. Additionally, it explores the exact analytical calculation of natural frequencies, the electrical equivalent circuit, and the generalized variables in different cases.