Developments of structural dynamics
- Offered byCoursera
- Public/Government Institute
Developments of structural dynamics at Coursera Overview
Duration | 10 hours |
Total fee | Free |
Mode of learning | Online |
Official Website | Explore Free Course  |
Credential | Certificate |
- Overview
- Highlights
- Course Details
- Curriculum
Developments of structural dynamics at Coursera Highlights
- Flexible deadlines in accordance to your schedule.
- Earn a Certificate upon completion
Developments of structural dynamics at Coursera Course details
- 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.
Developments of structural dynamics at Coursera Curriculum
Analytical dynamics
Welcome to the course
General notation
Lagrangian equation
Lagrangian potential
Few words before starting
Exercise statement
Few questions about articulated rotor
Linear structures
Lagrange's complete equation
Lagrange's selftraining - The problem
Lagrange's exercise - The solution
Linearity in dynamics
Self training
Linearity, what does it means
Quiz Week 2
Discrete eigenshapes
Matrix equation
Eigenshapes - Part 1
Eigenshapes - Part 2
Eigenshapes - Part 3
Matrix diagonalisation will now occur!
Statement of the exercise
Solution: Miraculous generation of the equations
Statement of the quiz
Reading
Before you start
Synthesis
Winching
Quiz on winching
Evaluation on Matrix equations
Dynamics of beam
Static introduction
Deep exploration of spline's formula
Generic solution of bended beam
Mechanical boundary condition - Part 1
Mechanical boundary condition - Part 2
Mechanical boundary condition - Part 3
Mechanical boundary condition - Part 4
Vibration nodes and bellies
Summary
Summary
Effective modal masses - Additionnal perspectives
Experiment lab
Quiz about effective modal masses
Quiz about vibration nodes and bellies
Digital and continuous translation system
Part 1: Digital system
Part 2: Continuous system and critical analogy
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