Developments of structural dynamics from Coursera

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.

What's inside

Syllabus

Analytical dynamics

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.

Linear structures

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.

Discrete eigenshapes

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.

Dynamics of beam

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.

General assessment

Good to know

Know what's good

, what to watch for

, and possible dealbreakers

Delves into the continuous implementation of structural elements against discrete models

Emphasizes the importance of both perspectives on dynamic structures, continuous and digital

Taught by Yves Gourinat, an expert in the field of structural dynamics

Advises revisiting the foundational course on structural dynamics for a deeper understanding

Requires a foundation in analytical dynamics and linear structures

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Developments of structural dynamics with these activities:

Review the textbook 'Structural Dynamics: Theory and Computation'

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Provides a comprehensive overview of structural dynamics principles, complementing the course material.

View Structural Dynamics: Theory and Computation on Amazon

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Read the textbook chapters relevant to the course
Take notes and highlight important concepts

Review concepts of analytical dynamics and Lagrange formalism

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Refreshes the basic concepts of analytical dynamics and Lagrange formalism, providing a strong foundation for the course.

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Review the principles of analytical dynamics
Apply Lagrange formalism to derive equations of motion

Participate as a mentor in a peer study group

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Strengthens understanding of concepts by helping others, while fostering collaboration and communication skills.

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Join or form a peer study group
Prepare to mentor others

Four other activities

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Follow tutorials on modal analysis and eigenshapes

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Provides a deeper understanding of modal analysis and eigenshapes, enhancing comprehension of the course material.

Browse courses on Modal Analysis

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Find tutorials on modal analysis and eigenshapes
Follow the tutorials and apply the concepts to examples

Compile a collection of resources on continuous element modeling

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Enhances understanding by providing a comprehensive collection of resources on a specific topic.

Browse courses on Structural Analysis

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Search for resources on continuous element modeling
Organize and categorize the resources

Solve practice problems on continuous dynamic systems

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Reinforces understanding of the dynamics of continuous systems through hands-on practice, improving problem-solving skills.

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Find practice problems on continuous dynamic systems
Solve the problems using the concepts learned in the course

Develop a presentation on the applications of structural dynamics

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Encourages students to synthesize their knowledge and critically evaluate the practical applications of structural dynamics.

Browse courses on Structural Dynamics

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Identify the applications of structural dynamics
Research and gather information
Develop the presentation slides

Career center

Learners who complete Developments of structural dynamics will develop knowledge and skills that may be useful to these careers:

Structural Engineer

Structural Engineers analyze and design structures to ensure they are safe and stable. They use their knowledge of structural dynamics to understand how structures will behave under different loads and conditions. This course can help Structural Engineers develop the skills they need to analyze and design structures that are resistant to earthquakes, wind, and other dynamic forces.

See salaries and explore the career path for Structural Engineer

Mechanical Engineer

Mechanical Engineers design, build, and test mechanical systems. They use their knowledge of structural dynamics to understand how machines and structures will behave under different loads and conditions. This course can help Mechanical Engineers develop the skills they need to design and build machines and structures that are safe and efficient.

See salaries and explore the career path for Mechanical Engineer

Civil Engineer

Civil Engineers design and build infrastructure, such as bridges, roads, and buildings. They use their knowledge of structural dynamics to understand how infrastructure will behave under different loads and conditions. This course can help Civil Engineers develop the skills they need to design and build infrastructure that is safe and resilient.

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Aerospace Engineer

Aerospace Engineers design and build aircraft, spacecraft, and other vehicles that fly. They use their knowledge of structural dynamics to understand how these vehicles will behave under different loads and conditions. This course can help Aerospace Engineers develop the skills they need to design and build vehicles that are safe and efficient.

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Automotive Engineer

Automotive Engineers design and build cars, trucks, and other vehicles. They use their knowledge of structural dynamics to understand how these vehicles will behave under different loads and conditions. This course can help Automotive Engineers develop the skills they need to design and build vehicles that are safe and efficient.

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Materials Scientist

Materials Scientists develop and test new materials. They use their knowledge of structural dynamics to understand how materials will behave under different loads and conditions. This course can help Materials Scientists develop the skills they need to develop new materials that are strong, durable, and lightweight.

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Geotechnical Engineer

Geotechnical Engineers design and build foundations for structures. They use their knowledge of structural dynamics to understand how foundations will behave under different loads and conditions. This course can help Geotechnical Engineers develop the skills they need to design and build foundations that are safe and stable.

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Naval Architect

Naval Architects design and build ships and other marine vessels. They use their knowledge of structural dynamics to understand how these vessels will behave under different loads and conditions. This course can help Naval Architects develop the skills they need to design and build vessels that are safe and efficient.

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Wind Engineer

Wind Engineers design and build structures that are resistant to wind. They use their knowledge of structural dynamics to understand how structures will behave under different wind loads. This course can help Wind Engineers develop the skills they need to design and build structures that are safe and resilient.

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Acoustical Engineer

Acoustical Engineers design and build structures that control sound. They use their knowledge of structural dynamics to understand how structures will behave under different sound loads. This course can help Acoustical Engineers develop the skills they need to design and build structures that are acoustically comfortable.

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Robotics Engineer

Robotics Engineers design and build robots. They use their knowledge of structural dynamics to understand how robots will behave under different loads and conditions. This course can help Robotics Engineers develop the skills they need to design and build robots that are safe and efficient.

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Biomedical Engineer

Biomedical Engineers design and build medical devices and implants. They use their knowledge of structural dynamics to understand how these devices and implants will behave under different loads and conditions. This course can help Biomedical Engineers develop the skills they need to design and build devices and implants that are safe and effective.

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Control Systems Engineer

Control Systems Engineers design and build systems that control the behavior of machines and processes. They use their knowledge of structural dynamics to understand how these systems will behave under different loads and conditions. This course can help Control Systems Engineers develop the skills they need to design and build systems that are safe and efficient.

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Operations Research Analyst

Operations Research Analysts use mathematical and analytical techniques to solve problems in business and industry. They use their knowledge of structural dynamics to understand how systems will behave under different conditions. This course can help Operations Research Analysts develop the skills they need to solve problems in a variety of industries.

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Data Scientist

Data Scientists use data to solve problems and make predictions. They use their knowledge of structural dynamics to understand how data can be used to build models that can predict future behavior. This course can help Data Scientists develop the skills they need to build models that are accurate and reliable.

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