Developments of structural dynamics

This course is devoted to the dynamic implementation of continuous structural elements vs discrete models. The matrix representation and implicit solution of Lagrange’s equation are at the heart of this approach, in the framework of conservative structural systems, with Gaussian modes. The prototype of the continuous element being the prismatic beam - as an illustration, but with general value - and the implicit model/solution leads to the major place of natural eigenshapes in vibration and sh

• To implement a matrix approach of dynamics system.
• T​o understand the deep signification of the Lagrange representation.
• T​o be able to make the link between a digital and a continuous dynamic system.