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Developments of structural dynamics

ISAE-SUPAERO

About this Course

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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 shocks theory and general dynamic representation of structures and foundations of the dynamic tests and certification.
In fact, this course is a perspective on the double vision of any dynamic structure, with the continuous point of view and a digital model in perspective.

At the end of this course, the physicist, the mechanical engineer, the specialist in control will have a general overview of the dynamic representation and implicit solution applicable in structural analysis and control of general dynamic systems.

 In a certain way, it is founded on the famous discussions between Albert Einstein and Niels Bohr.

Recommendation: we suggest having a look, at the course "Foundation of structural dynamics: from static to discrete dynamics". This course proposes an original point of view of the foundations of dynamics. And could highlight the present course.

Flexible deadlines

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Shareable Certificate

Earn a Certificate upon completion

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Coursera Labs

Includes hands on learning projects.

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Intermediate Level

Knowledge of point physics, matrix mathematics,solid mechanics and statics of beams will be particularly helpful.

Approx. 10 hours to complete

English

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What you will 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.

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.

Coursera Labs

Includes hands on learning projects.

Learn more about Coursera Labs

Intermediate Level

Knowledge of point physics, matrix mathematics,solid mechanics and statics of beams will be particularly helpful.

Approx. 10 hours to complete

English

Could your company benefit from training employees on in-demand skills?

Try Coursera for Business

Instructor

Yves Gourinat

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

2,691 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.

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Syllabus - What you will learn from this course

Week1

Week 1

2 hours to complete

Analytical dynamics

2 hours to complete

4 videos (Total 11 min), 2 readings, 1 quiz

Week2

Week 2

1 hour to complete

Linear structures

1 hour to complete

4 videos (Total 16 min), 2 readings, 1 quiz

Week3

Week 3

3 hours to complete

Discrete eigenshapes

3 hours to complete

8 videos (Total 36 min), 4 readings, 2 quizzes

Week4

Week 4

3 hours to complete

Dynamics of beam

3 hours to complete

8 videos (Total 44 min), 4 readings, 2 quizzes

8 videos

Static introduction5mDeep exploration of spline's formula3mGeneric solution of bended beam8mMechanical boundary condition - Part 14mMechanical boundary condition - Part 24mMechanical boundary condition - Part 35mMechanical boundary condition - Part 44mVibration nodes and bellies8m

4 readings

Summary10mSummary10mEffective modal masses - Additionnal perspectives40mExperiment lab20m

2 practice exercises

Quiz about effective modal masses30mQuiz about vibration nodes and bellies20m

1 hour to complete

General assessment

1 hour to complete

1 reading

Frequently Asked Questions

When will I have access to the lectures and assignments?
Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:
The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.
The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
What will I get if I purchase the Certificate?
When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
Is financial aid available?
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.

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Developments of structural dynamics

Developments of structural dynamics

About this Course

What you will learn