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Yves Gourinat

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.

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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).

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What's inside

Syllabus

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.
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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.
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.
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%).
General assessment

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Develops fundamental dynamics, which helps learners model and analyze structural dynamics, physics, and any dynamic system
Explores dynamics, which helps learners model and analyze shock and vibration
Taught by Yves Gourinat, who is recognized for their work in dynamics
Offers hands-on labs and interactive materials, which helps learners apply their knowledge and skills
Covers unique perspectives and ideas, which helps learners gain a comprehensive understanding of dynamics
Advises students to take other courses first, which may be a barrier for some learners

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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 Foundation of Structural Dynamics with these activities:
Review Calculus
Refresh your knowledge of calculus to build a solid foundation for understanding the mathematical concepts in the course.
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  • Review the concepts of derivatives, integrals, and limits.
  • Practice solving calculus problems to reinforce your understanding.
Review Algebraic Equations
Review the basics of algebraic equations to strengthen your foundation for the course.
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  • Review the definitions and properties of algebraic equations.
  • Practice solving simple algebraic equations.
  • Work through examples to reinforce your understanding.
Explore Python for Dynamics
Gain hands-on experience with Python, the primary programming language used in the course.
Browse courses on Dynamics
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  • Find online tutorials or resources on Python for dynamics.
  • Work through the tutorials, completing the exercises and activities provided.
Four other activities
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Show all seven activities
Join a Study Group
Collaborate with peers to discuss course concepts, work on assignments, and reinforce your understanding.
Show steps
  • Reach out to classmates or online forums to find a study group.
  • Establish regular meeting times and set goals for each session.
Read 'Dynamics' by A. Bedford and W. Fowler
Gain in-depth knowledge of dynamics by reading this comprehensive textbook that covers the fundamental concepts and applications.
Show steps
  • Read each chapter thoroughly and take notes on the key concepts.
  • Work through the practice problems at the end of each chapter.
  • Use the textbook as a reference guide throughout the course.
Create a Dynamics Mind Map
Create a visual representation of the key concepts and relationships in dynamics to enhance your understanding and memory.
Show steps
  • Identify the main topics and subtopics covered in the course.
  • Use a visual tool like a mind mapping app or software to create a diagram that connects these concepts.
  • Add notes, examples, and formulas to reinforce your understanding.
Solve Dynamics Problems
Regularly practice solving dynamics problems to enhance your analytical skills and understanding.
Browse courses on Dynamics
Show steps
  • Find practice problems from textbooks, online resources, or previous assignments.
  • Set aside dedicated time each week to work on these problems.
  • Check your solutions against provided answer keys or consult with your instructor for feedback.

Career center

Learners who complete Foundation of Structural Dynamics will develop knowledge and skills that may be useful to these careers:
Mechanical Engineer
Mechanical Engineers design, build, and maintain machines and mechanical systems. They work in a variety of industries, including manufacturing, construction, and transportation. This course may be helpful to Mechanical Engineers who want to develop a deeper understanding of fundamental dynamics, as this knowledge can be applied to the design and analysis of mechanical systems.
Civil Engineer
Civil Engineers design, build, and maintain infrastructure, such as buildings, bridges, and roads. They work in a variety of industries, including construction, transportation, and environmental engineering. This course may be helpful to Civil Engineers who want to develop a deeper understanding of fundamental dynamics, as this knowledge can be applied to the design and analysis of civil engineering structures.
Aerospace Engineer
Aerospace Engineers design, build, and maintain aircraft, spacecraft, and other aerospace vehicles. They work in a variety of industries, including aviation, defense, and space exploration. This course may be helpful to Aerospace Engineers who want to develop a deeper understanding of fundamental dynamics, as this knowledge can be applied to the design and analysis of aerospace vehicles.
Materials Scientist
Materials Scientists research and develop new materials and materials technologies. They work in a variety of industries, including manufacturing, construction, and electronics. This course may be helpful to Materials Scientists who want to develop a deeper understanding of fundamental dynamics, as this knowledge can be applied to the study of the mechanical properties of materials.
Physicist
Physicists study the fundamental laws of nature and the physical world. They work in a variety of industries, including academia, research, and industry. This course may be helpful to Physicists who want to develop a deeper understanding of fundamental dynamics, as this knowledge can be applied to the study of a wide range of physical phenomena.
Mathematician
Mathematicians develop and apply mathematical theories and techniques to solve problems in a variety of fields, including science, engineering, and business. This course may be helpful to Mathematicians who want to develop a deeper understanding of fundamental dynamics, as this knowledge can be applied to the study of a wide range of mathematical problems.
Computer Scientist
Computer Scientists design, develop, and implement computer systems and applications. They work in a variety of industries, including software development, IT, and academia. This course may be helpful to Computer Scientists who want to develop a deeper understanding of fundamental dynamics, as this knowledge can be applied to the design and analysis of computer systems.
Electrical Engineer
Electrical Engineers design, build, and maintain electrical systems and devices. They work in a variety of industries, including power generation, distribution, and electronics. This course may be helpful to Electrical Engineers who want to develop a deeper understanding of fundamental dynamics, as this knowledge can be applied to the design and analysis of electrical systems.
Chemical Engineer
Chemical Engineers design, build, and maintain chemical processes and plants. They work in a variety of industries, including manufacturing, pharmaceuticals, and energy. This course may be helpful to Chemical Engineers who want to develop a deeper understanding of fundamental dynamics, as this knowledge can be applied to the design and analysis of chemical processes and plants.
Biomedical Engineer
Biomedical Engineers design, build, and maintain medical devices and systems. They work in a variety of industries, including healthcare, pharmaceuticals, and biotechnology. This course may be helpful to Biomedical Engineers who want to develop a deeper understanding of fundamental dynamics, as this knowledge can be applied to the design and analysis of medical devices and systems.
Environmental Engineer
Environmental Engineers design, build, and maintain environmental systems and technologies. They work in a variety of industries, including water treatment, waste management, and pollution control. This course may be helpful to Environmental Engineers who want to develop a deeper understanding of fundamental dynamics, as this knowledge can be applied to the design and analysis of environmental systems and technologies.
Nuclear Engineer
Nuclear Engineers design, build, and maintain nuclear power plants and other nuclear facilities. They work in a variety of industries, including power generation, nuclear medicine, and nuclear waste management. This course may be helpful to Nuclear Engineers who want to develop a deeper understanding of fundamental dynamics, as this knowledge can be applied to the design and analysis of nuclear power plants and other nuclear facilities.
Petroleum Engineer
Petroleum Engineers design, build, and maintain oil and gas wells and other petroleum facilities. They work in a variety of industries, including oil and gas exploration, production, and transportation. This course may be helpful to Petroleum Engineers who want to develop a deeper understanding of fundamental dynamics, as this knowledge can be applied to the design and analysis of oil and gas wells and other petroleum facilities.
Mining Engineer
Mining Engineers design, build, and maintain mines and other mining facilities. They work in a variety of industries, including mining, construction, and environmental engineering. This course may be helpful to Mining Engineers who want to develop a deeper understanding of fundamental dynamics, as this knowledge can be applied to the design and analysis of mines and other mining facilities.
Geotechnical Engineer
Geotechnical Engineers design, build, and maintain structures and other facilities on or in the ground. They work in a variety of industries, including construction, mining, and environmental engineering. This course may be helpful to Geotechnical Engineers who want to develop a deeper understanding of fundamental dynamics, as this knowledge can be applied to the design and analysis of structures and other facilities on or in the ground.

Reading list

We've selected 15 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Foundation of Structural Dynamics.
This is the classic textbook on classical mechanics, and great resource for anyone who wants to learn more about the subject. It covers a wide range of topics, from the basics of kinematics and dynamics to more advanced topics such as Hamiltonian mechanics and chaos. While it is not specifically about structural dynamics, it provides a strong foundation for understanding the subject.
This textbook is currently used at the University of Massachusetts Lowell, and is famous for its extensive coverage and depth in Structural Dynamics with a focus on earthquake engineering applications.
Provides a comprehensive introduction to the principles of dynamics, with a focus on engineering applications. It covers topics such as kinematics, Newton's laws of motion, energy and momentum, and vibrations.
Provides a comprehensive introduction to the dynamics of structures, with a focus on earthquake engineering. It covers topics such as vibration theory, modal analysis, and seismic design.
Vibration with Control textbook used by many universities and provides an encyclopedic coverage of vibrations and control systems, and is likely to benefit anyone wanting to learn about the intersection of structural dynamics and control.
This classic textbook on the subject of vibrations, which are central to structural dynamics. This choice is to round out your foundation of vibrations. It covers a wide range of topics, from the basics of vibration theory to more advanced topics such as random vibrations.
Theory of Vibration with Applications covers the fundamentals of vibration theory, with a focus on engineering applications. It great resource for anyone who wants to learn more about the subject.
Provides a comprehensive introduction to control systems engineering, with a focus on classical control theory. It covers topics such as feedback control, stability analysis, and control system design.
Vibration of Continuous Systems classic textbook that covers the vibration of continuous systems, such as strings, bars, and plates. It valuable resource for anyone who wants to learn more about the subject.
Provides a comprehensive introduction to optimal control, with a focus on dynamic programming and the calculus of variations. It covers topics such as optimal control problems, dynamic programming, and the calculus of variations.
Provides a more advanced treatment of dynamics, with a focus on analytical and computational methods. It covers topics such as Lagrange's and Hamilton's equations, chaos theory, and nonlinear dynamics.
Great resource for anyone who wants to learn more about the theory and applications of structural dynamics. It covers a wide range of topics, from the basics of structural dynamics to more advanced topics such as earthquake engineering.
Great resource for anyone who wants to learn more about the practical applications of structural dynamics. It covers a wide range of topics, from the basics of structural dynamics to more advanced topics such as earthquake engineering.
Classic textbook on the dynamics of structures, with a focus on earthquake engineering. It great resource for anyone who wants to learn more about the subject.

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