Offered By

Foundation of Structural Dynamics

ISAE-SUPAERO

About this Course

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A course with variable geometry where everyone, we hope, will find personal benefits. The parts can be studied sequentially or independently; and inside each part, elementary learning items can be picked up. 
Globally, this course proposes a deep knowledge of fundamental dynamics, with possible explicit and implicit applications in structural dynamics, but also in physics and control of any dynamic system (automatics, …).

The concepts of static, dynamic, and thermodynamic approaches are defined, followed by the analytical Newtonian foundations of discrete (digital) dynamics.

Dynamics is not simply an extension of statics, but another modeling with open possibilities. The basic theorems (Newton‘s equivalence principle, König’ s theorems, conservations) are detailed in the perspective of structural applications.

This course opens perspectives towards not only the general dynamics of structures but also towards robotics and control of dynamic systems. These concepts will be learned in a second course (Developments of structural dynamics).

Flexible deadlines

Reset deadlines in accordance to your schedule.

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Intermediate Level

Knowledge of point physics, matrix mathematics, linear algebra and basic definition of solid statics will be particularly helpful.

Approx. 7 hours to complete

English

Subtitles: English

What you will learn

Understand the basic theorems of structural dynamics and their implications toward complex systems.

Master their applicability to discrete systems and applications to digital modeling in dynamics.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Intermediate Level

Knowledge of point physics, matrix mathematics, linear algebra and basic definition of solid statics will be particularly helpful.

Approx. 7 hours to complete

English

Subtitles: English

Instructor

Yves Gourinat

Full professor (ISAE-SUPAERO - Toulouse University) Physics of Structures & Biodynamics. Chair of Aerospace Structures Advanced Master

780 Learners

3 Courses

Offered by

ISAE-SUPAERO

ISAE-SUPAERO, world leader in aerospace engineering higher education, has trained over 21,000 highly skilled engineers since its creation in 1909. We have been educating students to have the most advanced scientific and engineering skills, helping the aeronautics and space industry to anticipate and adapt to the latest scientific, economic and social changes.  We welcome the best students from all over the world and educate them to be future responsible leaders driving the development of our society and contributing to technological innovation in aeronautics and space.  Located in Toulouse, France, we benefit from a unique ecosystem, both at the heart of the European capital for aeronautics and space and of a thriving aerospace higher education and research campus.

Syllabus - What you will learn from this course

Week

Week 1

2 hours to complete

Dynamics?

Let's get together to the roots of physics. In the beginning, it was dynamics. And dynamics originates all the trunk of the tree of physics. That's the reason why we now analyze the principle of equivalence which allows passing from statics to dynamics.

2 hours to complete

2 videos (Total 12 min), 3 readings, 1 quiz

Week

Week 2

2 hours to complete

Newton!

Shock and vibration, the heart of dynamics. To fulfill this ambitious program let's dive together into Newton's apple. And let's discover that actually, this free-fall system has revolutionized our vision of physics. So much so this single scientific publication is probably the most cited in the history of science.

2 hours to complete

5 videos (Total 16 min), 2 readings, 2 quizzes

Week

Week 3

1 hour to complete

The force is with us.

To link the cause of motion and motions themselves, it is necessary to parameterize the forces by common denominators i.e. the energies. This bridge is essential to pass from Newton's apple to the real structures. Thus this week constitutes a fundamental transition.

1 hour to complete

3 videos (Total 11 min), 3 readings, 1 quiz

Week

Week 4

1 hour to complete

The light side of the force.

Some motions occur in the conservative domain, which means that they oscillate, orbit, and circulate in a "perfect" way which is represented by the rails of potential energy. In fact, most of the structures work this way in a first approach. And that's the reason why structural analysis is possible with real modes to represent any structural motion with an excellent approximation (~1%).

1 hour to complete

2 videos (Total 8 min), 2 readings

1 hour to complete

General assessment

1 hour to complete

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Foundation of Structural Dynamics

Foundation of Structural Dynamics