Fundamentals of waves and vibrations

École Polytechnique via Coursera

Go to Course: https://www.coursera.org/learn/fundamentals-waves-vibrations

Introduction

### Course Review: Fundamentals of Waves and Vibrations In our everyday lives, waves and vibrations are integral to how we perceive and interact with the world. From the soothing ripples of a lake to the distant roar of a plane overhead, and even the low rumble of an earthquake beneath our feet, these phenomena shape our experiences in ways we often overlook. For anyone looking to delve deeper into the fascinating realm of waves and vibrations, the Coursera course titled **"Fundamentals of Waves and Vibrations"** provides an excellent opportunity to explore this fundamental science. #### Course Overview **Fundamentals of Waves and Vibrations** is designed not only to introduce students to the concepts of waves and vibrations but also to provide them with a comprehensive understanding of the underlying principles that govern these phenomena. The course features engaging video content, interactive exercises, and a project that allows learners to apply what they've learned in real-world scenarios. Whether it’s the graceful undulations of a guitar string or the intricate dance of seismic waves, understanding the science behind these occurrences can enhance our appreciation of the natural world. This course is ideal for students, hobbyists, or professionals who want to gain a clearer understanding of how waves and vibrations affect various systems, both natural and engineered. #### Syllabus Breakdown **1. Simple Waves** This module introduces learners to the models of continuous systems and focuses on non-dispersive waves. Students will explore the foundational concepts necessary for understanding more complex wave behaviors. **2. Complex Waves** Here, the course expands on the introduction to non-dispersive waves, diving deeper into their properties. This module is crucial for those who want to grasp the advanced characteristics of wave phenomena. **3. Modes** This section highlights how the combination of waves influenced by boundary conditions leads to the emergence of specific solutions termed "modes." Understanding modes is essential for analyzing systems in various physics or engineering applications. **4. More Modes** Building on the previous module, learners apply the concept of modes to a wide range of systems, encompassing both fluids and solids. This part significantly broadens the scope of applications for waves and vibrations. **5. Oscillators** The focus shifts to oscillators, exploring how these systems respond to different types of forces. This week builds a generic model of modal response that is foundational for understanding systems behavior. **6. Dynamics Using Modes** In the final module, the course synthesizes knowledge from earlier weeks to evaluate how general systems respond using modal recomposition. Students will engage in exercises that solidify their understanding of dynamic systems through practical examples. #### Overall Experience The **"Fundamentals of Waves and Vibrations"** course is well-structured, making it approachable for both beginners and those with some background in physics or engineering. The course format is flexible, allowing participants to learn at their own pace and revisit complex topics as needed. The interactive elements keep the learning process engaging and rewarding. #### Recommendation I wholeheartedly recommend **Fundamentals of Waves and Vibrations** to anyone with an interest in physics, engineering, music, or even environmental science. Not only does it provide a solid theoretical base, but it also enhances the practical understanding of how waves and vibrations impact various systems we encounter daily. Whether you are a student seeking to strengthen your foundational knowledge or a professional looking to expand your expertise, this course is an invaluable stepping stone into the rich world of oscillatory phenomena. For more information and to begin your journey, check out the course teaser [here](http://goo.gl/SU25sF). Don't miss out on the opportunity to explore the beautiful science of waves and vibrations!

Syllabus

SIMPLE WAVES

Presentation of the models of continuous systems and application for non-dispersive waves

COMPLEX WAVES

Introduction to non-dispersive waves and their properties

MODES

How combining waves with boundary conditions leads to the existence of particular solutions, modes.

MORE MODES

The concept of modes is now applied to a large variety of systems, both fluids and solids

OSCILLATORS

The response of the oscillator to any type of forcing is explored, as a generic model of modal response.

DYNAMICS USING MODES

Using the knowledge on the oscillator dynamics from the previous week, the response of general systems is built by modal recomposition

Overview

See our course teaser on http://goo.gl/SU25sF Waves are everywhere. On water of course, but also in the air as you hear a plane, and under your feet during an earthquake certainly. Vibrations, too, are everywhere In your bike as you go over a bump, in you guitar as you play, and of course in your smartphone. You can guess that there is something in common behind all this. This is exactly the purpose of this course ! So if you want to understand better waves and vibrations, and the r

Skills

Reviews

I learned very much and this easy to learn and it's free of cost so everyone is learning and got certificate

Thank you Prof. Emmanueland his team for making the course easier to understand and use it in our daily lives. Hoping to read others courses as well.

I already have a strong background in dynamics and used this course as a recall of basics. I found it very clear, in particular for the progress from waves towards vibrations and modes.

the best way to learn more about waves and vibrations. I you did not know anything about these two than you need to take this course.

Absolutely wonderful course. I love the enthusiasm of the teachers. Thank you so much!!!