Introduction to Dynamic Systems and Vibration - Engineering Mechanics (Undergraduate Advanced)

This course teaches the fundamentals of dynamic systems modelling and simulation. You will learn how to: - Define and classify static and dynamic systems by their mathematical models - Use differential equations, transfer functions, and state-space models to describe the behavior of dynamic systems - Analyze the stability, controllability, and observability of dynamic systems - Model and simulate translational, rotational, electrical, electromechanical, hydraulic, and thermal systems - Draw analogies between different types of systems and exploit their similarities - Use popular software tools such as MATLAB/SIMULINK to implement and test your models By the end of the course, you will have a solid foundation in dynamic systems modelling and simulation, and you will be able to apply it to your own projects and interests. You will also gain a valuable skill that is in high demand in many industries and disciplines, such as: - Engineering: design, control, and optimization of dynamic systems such as robots, vehicles, machines, power systems, etc. - Science: understanding and prediction of natural phenomena such as population dynamics, climate change, epidemics, etc. - Economics: modelling and analysis of economic systems such as markets, supply chains, production, consumption, etc. - Policy: evaluation and improvement of policy actions and interventions in complex social systems such as health, education, environment, etc. Whether you are a student, a professional, or a hobbyist, this course will help you master the art and science of dynamic systems modelling and simulation, and open up new possibilities for your learning and career. Once enrolled, you have access to dynamic video lessons, interactive quizzes, and live chat support for an immersive learning experience. You engage with clear video explanations, test your understanding with instant-feedback quizzes and interact with our expert instructor and peers in the chat room. Join a supportive learning community to exchange ideas, ask questions, and collaborate with peers as you master the material, by enrolling right away.

49

4 hrs

Enrolment valid for 12 months
This course is also part of the following learning track. You may join the track to gain comprehensive knowledge across related courses.
[University] Engineering Mechanics - Dynamics
[University] Engineering Mechanics - Dynamics
Master the principles governing the motion of engineering systems. This learning track provides a complete education in dynamics, systematically building from the kinematics of particles to the kinetics of rigid bodies and culminating in an introduction to dynamic systems and vibration. You will learn to analyse and predict how mechanical systems behave under the influence of forces. This programme is for undergraduate students in mechanical, aerospace, civil, or related engineering disciplines. It is also essential for practising engineers and applied scientists who require a rigorous, first-principles command of dynamic analysis for their professional work. A prerequisite knowledge of statics, calculus, and vector algebra is assumed. Upon completion, you will possess the analytical tools to solve complex dynamics problems for particles and rigid bodies using force, energy, and momentum methods. This provides the essential foundation for advanced study in mechanical design, control systems, and structural analysis, and prepares you for demanding technical roles in the engineering sector.

Master the principles governing the motion of engineering systems. This learning track provides a complete education in dynamics, systematically building from the kinematics of particles to the kinetics of rigid bodies and culminating in an introduction to dynamic systems and vibration. You will learn to analyse and predict how mechanical systems behave under the influence of forces. This programme is for undergraduate students in mechanical, aerospace, civil, or related engineering disciplines. It is also essential for practising engineers and applied scientists who require a rigorous, first-principles command of dynamic analysis for their professional work. A prerequisite knowledge of statics, calculus, and vector algebra is assumed. Upon completion, you will possess the analytical tools to solve complex dynamics problems for particles and rigid bodies using force, energy, and momentum methods. This provides the essential foundation for advanced study in mechanical design, control systems, and structural analysis, and prepares you for demanding technical roles in the engineering sector.

Course Chapters

1. Introduction

Meaning of vibration, types of vibrations and their descriptions.

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2. Translation
1
2

Mathematical models of translational mechanical systems.

Chapter lessons

2-1. Introduction
21:06

Introduction to modelling of translational mechanical systems.

3. Method of Lagrange's Equations
1
2

Modelling of conservative mechanical systems by the method of Lagrange's equations.

Chapter lessons

3-1. Introduction
32:00

Derivation of the Lagrange's equation.

4. Undamped Free Vibrations I

Simple harmonic motion of particles under gravitational and elastic restoring forces.

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5. Undamped Free Vibrations II

Simple harmonic motion of rigid bodies under gravitational and elastic restoring forces.

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6. Undamped Free Vibrations III

Applying the principle of conservation of energy to simple harmonic motion under gravitational and elastic restoring forces.

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7. Undamped Forced Vibrations

Analyzing vibrations due to external periodic forces.

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8. Damped Free Vibrations

Analysis of free vibrations subject to viscous damping.

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9. Damped Forced Vibrations

Analysis of forced vibrations subject to viscous damping.

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10. Electric Circuit Analogs

Applications of mechanical vibrations concepts to analogous electric circuits.

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