Vibration

For mechanical oscillations in the form of machining context, see Machining vibrations.
For other uses, see Vibration (disambiguation).

Classical mechanics

F

=
m

a

{\displaystyle {\vec {F}}=m{\vec {a}}}

Second law of motion

History
Timeline

Branches

Applied
Celestial
Continuum
Dynamics
Kinematics
Kinetics
Statics
Statistical

Fundamentals

Acceleration
Angular momentum
Couple
D’Alembert’s principle
Energy

kinetic
potential

Force
Frame of reference
Impulse
Inertia / Moment of inertia
Mass

Mechanical power
Mechanical work

Moment
Momentum
Space
Speed
Time
Torque
Velocity
Virtual work

Formulations

Newton’s laws of motion

Analytical mechanics

Lagrangian mechanics
Hamiltonian mechanics
Routhian mechanics
Hamilton–Jacobi equation
Appell’s equation of motion
Udwadia–Kalaba equation
Koopman–von Neumann mechanics

Core topics

Damping (ratio)
Displacement
Equations of motion
Euler’s laws of motion
Fictitious force
Friction
Harmonic oscillator

Inertial / Non-inertial reference frame
Mechanics of planar particle motion

Motion (linear)
Newton’s law of universal gravitation
Newton’s laws of motion
Relative velocity
Rigid body

dynamics
Euler’s equations

Simple harmonic motion
Vibration

Rotation

Circular motion
Rotating reference frame
Centripetal force
Centrifugal force

reactive

Coriolis force
Pendulum
Tangential speed
Rotational speed

Angular acceleration / displacement / frequency / velocity

Scientists

Galileo
Newton
Kepler
Horrocks
Halley
Euler
d’Alembert
Clairaut
Lagrange
Laplace
Hamilton
Poisson
Daniel Bernoulli
Johann Bernoulli
Cauchy

v
t
e

Vibration is a mechanical phenomenon whereby oscillations occur about an equilibrium point. The word comes from Latin vibrationem (“shaking, brandishing”). The oscillations may be periodic, such as the motion of a pendulum—or random, such as the movement of a tire on a gravel road.
Vibration can be desirable: for example, the motion of a tuning fork, the reed in a woodwind instrument or harmonica, a mobile phone, or the cone of a loudspeaker.
In many cases, however, vibration is undesirable, wasting energy and creating