Ordinary differential equations | Mathematical analysis | Engineering ratios
Damping is an influence within or upon an oscillatory system that has the effect of reducing or preventing its oscillation. In physical systems, damping is produced by processes that dissipate the energy stored in the oscillation. Examples include viscous drag (a liquid's viscosity can hinder an oscillatory system, causing it to slow down; see viscous damping) in mechanical systems, resistance in electronic oscillators, and absorption and scattering of light in optical oscillators. Damping not based on energy loss can be important in other oscillating systems such as those that occur in biological systems and bikes (ex. Suspension (mechanics)). Not to be confused with friction, which is a dissipative force acting on a system. Friction can cause or be a factor of damping. The damping ratio is a dimensionless measure describing how oscillations in a system decay after a disturbance. Many systems exhibit oscillatory behavior when they are disturbed from their position of static equilibrium. A mass suspended from a spring, for example, might, if pulled and released, bounce up and down. On each bounce, the system tends to return to its equilibrium position, but overshoots it. Sometimes losses (e.g. frictional) damp the system and can cause the oscillations to gradually decay in amplitude towards zero or attenuate. The damping ratio is a measure describing how rapidly the oscillations decay from one bounce to the next. The damping ratio is a system parameter, denoted by ζ (zeta), that can vary from undamped (ζ = 0), underdamped (ζ < 1) through critically damped (ζ = 1) to overdamped (ζ > 1). The behaviour of oscillating systems is often of interest in a diverse range of disciplines that include control engineering, chemical engineering, mechanical engineering, structural engineering, and electrical engineering. The physical quantity that is oscillating varies greatly, and could be the swaying of a tall building in the wind, or the speed of an electric motor, but a normalised, or non-dimensionalised approach can be convenient in describing common aspects of behavior. (Wikipedia).
C68 The physics of damped motion
See how the graphs of damped motion changes with changes in mass, the spring constant, and the initial value constants. The equations tell us which parameters influence the period, frequency and amplitude of oscillation.
From playlist Differential Equations
Damped sine wave definition with several examples. Formula, damping phase and phase shifts explained using Desmos.
From playlist Calculus
In this video i demonstrate Underdamped, Critically Damped, and Overdamped. I use ruler magnets and aluminum (pendulum). Magnet moves near aluminum and Foucault currents stop smooth the pendulum.
From playlist MECHANICS
But What Exactly Is A Damped System?
What does it mean to have underdamped, overdamped, and critically damped motion? This is my first time making a math youtube video and is my submission for 3Blue1Brown's SOME1. If I made any mistakes, or you have anything you'd like to add, please feel free to leave a constructive comment
From playlist Summer of Math Exposition Youtube Videos
Physics CH 16.1 Simple Harmonic Motion with Damping (11 of 20) The Damping Factor
Visit http://ilectureonline.com for more math and science lectures! In this video I will develops the general equation of the simple harmonic motion with damping factor.
From playlist PHYSICS 16.1 SHM WITH DAMPING
The physically more accurate problem of damped harmonic motion.
From playlist Differential Equations
Introducing a retarding force directly proportional to velocity. This results in damped harmonic motion.
From playlist Physics ONE
Differential Equations: Force Damped Oscillations
How to solve an application of non-homogeneous systems, forced damped oscillations. Special resonance review at the end.
From playlist Basics: Differential Equations
B06 Types of damped harmonic motion
Explaining the types of damped harmonic oscillation. These are underdamped, critically damped, and under damped, depending on the types of roots calculated when solving the second order linear ordinary differential equation that results from introducing the retarding force.
From playlist Physics ONE
MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015 View the complete course: http://ocw.mit.edu/RES-18-009F15 Instructor: Gilbert Strang With constant coefficients in a differential equation, the basic solutions are exponentials. The expon
From playlist MIT Learn Differential Equations
UCI Physics 3C: Basic Physics III (Fall 2013) Lec 03. Basic Physics III View the complete course: http://ocw.uci.edu/courses/physics_3c_basic_physics_iii.html Instructor: Michael Smy, Ph.D. License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw
From playlist Physics 3C: Basic Physics III
Electrical Engineering: Ch 9: 2nd Order Circuits (36 of 76) Source-Free Parallel RCL Circuit 4 of 8
Visit http://ilectureonline.com for more math and science lectures! http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will now graph the 3 different type of solutions: 1) overdamped case, 2) critically damped case, 3) underdamped case to the general different
From playlist ELECTRICAL ENGINEERING 9: SECOND ORDER CIRCUITS
The damped wave equation with unbounded and singular damping by Petr Siegl
DATE: 04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Physics. The scope of the program on Non-H
From playlist Non-Hermitian Physics - PHHQP XVIII
The Physics of Rock Episode 3 The Eddie-Endrix Equation
In this video we examine the one-dimensional wave equation when both damping and string stiffness are considered. We call the resulting model the "Eddie-Endrix" equation and we look closely at the inharmonicity introduced by damping and by the string stiffness. The full length version of
From playlist The Physics of Rock
Damped Oscillations-Torsion Pendulum
Identify the damped oscillations of a torsion pendulum Determine the damping constant in the under damping case for two values of damping currents (0.3 A and 0.4 A)
From playlist Waves
Recitation 3 - Damped Harmonic Motion - I
Viscous damping; Formal solutions to the damped harmonic equation; Different regimes of damped motion Recitation 3 of Caltech's Ph2a Course on Vibrations and Waves by Prof. Frank Porter and Dr. Ashmeet Singh. View course materials on the course website http://waves.caltech.edu Produced i
From playlist Ph2a: Vibrations and Waves
The Physics of Rock II: The Damped Guitar String
The Physics of Rock II: The Damped Guitar String In this lesson we see how to introduce simple damping into our guitar string model. This lesson was NOT sponsored by anyone. To see the full solution of the damped wave equation have a look at: https://youtu.be/P5q8--1vrzM
From playlist The Physics of Rock
Ex: Determine a Dampening Force For An Critically Damped System (Free Damped Vibration)
This video explains how to determine the dampening force with a given velocity to make system critically damped.
From playlist Modeling with Higher Order Differential Equations
Standard 2nd Order ODEs: Natural Frequency and Damping Ratio
In this video we discuss writing 2nd order ODEs in standard form xdd(t)+2*zeta*wn*xd(t)+wn^2*x(t) where zeta = damping ratio wn = natural frequency We will see that the damping ratio and natural frequency characterize the behavior of the system Topics and timesta
From playlist Ordinary Differential Equations