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.
Developments of structural dynamics
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4.2
(10 reviews)
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.
Details to know
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Assessments
8 assignments
Taught in English
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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 assignment1 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 assignment
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 assignments2 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 assignments1 discussion prompt1 plugin
What's included
1 reading2 assignments
Instructor
Offered by
Recommended if you're interested in Physics and Astronomy
Johns Hopkins University
The Hong Kong University of Science and Technology
Korea Advanced Institute of Science and Technology(KAIST)
École Polytechnique
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