Developments of structural dynamics

Developments of structural dynamics

Taught in English

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Gain insight into a topic and learn the fundamentals

Yves Gourinat

Instructor: Yves Gourinat

Intermediate level

Recommended experience

10 hours to complete
3 weeks at 3 hours a week
Flexible schedule
Learn at your own pace

What you'll learn

  • To implement a matrix approach of dynamics system.

  • To understand the deep signification of the Lagrange representation.

  • To be able to make the link between a digital and a continuous dynamic system.

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There are 5 modules in this course

We will discover the power of Lagrange formalism able to generate the equation of any discrete dynamic system. This seems miraculous because, from energies, we directly extract the complete dynamic equations.

What's included

4 videos2 readings1 quiz1 plugin

Linearity is an important domain. Not only because it corresponds to powerfull mathematic tools but also because it's a nominal way to move for a structure. In this topic, we master the modeling of any digital linear system.

What's included

4 videos2 readings1 quiz

We solve the digital dynamic system by Gaussian diagonalization, thus we discover the concept of natural shapes (or eigenshapes), fundamental for the dynamic behavior of any structure. This opens the world towards resonances and implicit analysis. In fact, the modes represent the actual dynamic DNA of the structure.

What's included

8 videos4 readings2 quizzes2 discussion prompts

Real structures are made with continuous beams and shells. Beams are the ideal prototype for the demonstration of continuous modes showing clearly that there is no fundamental difference between discrete and continuous dynamic shapes. We solve the essential problem of bended dynamic beam representing for instance a bridge, a wing, a javelin in flight, etc.

What's included

8 videos4 readings2 quizzes1 discussion prompt1 plugin

What's included

1 reading2 quizzes


Yves Gourinat
3 Courses5,671 learners

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