Lecture

Resonance Phenomenon in Experiments

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Description

This lecture explores the resonance phenomenon through various experiments, starting with vibrating a pot slightly out of resonance and observing the beat frequency, then moving on to harmonic responses and acoustic resonance with tuning forks. The instructor demonstrates how resonance leads to significant oscillations in systems with the same frequency.

In MOOC

Material Point Mechanics

To illustrate the concepts introduced in Part 1, we deal here with problems for which the mechanical system can be considered as a material point. In particular, this part covers problems to be treated in cylindrical or spherical coordinates, the problem of planetary orbits and accelerated reference frames.

Official source

Related concepts (14)

Resonance

Resonance describes the phenomenon of increased amplitude that occurs when the frequency of an applied periodic force (or a Fourier component of it) is equal or close to a natural frequency of the system on which it acts. When an oscillating force is applied at a resonant frequency of a dynamic system, the system will oscillate at a higher amplitude than when the same force is applied at other, non-resonant frequencies. Frequencies at which the response amplitude is a relative maximum are also known as resonant frequencies or resonance frequencies of the system.

Acoustic resonance

Acoustic resonance is a phenomenon in which an acoustic system amplifies sound waves whose frequency matches one of its own natural frequencies of vibration (its resonance frequencies). The term "acoustic resonance" is sometimes used to narrow mechanical resonance to the frequency range of human hearing, but since acoustics is defined in general terms concerning vibrational waves in matter, acoustic resonance can occur at frequencies outside the range of human hearing.

Mechanical resonance

Mechanical resonance is the tendency of a mechanical system to respond at greater amplitude when the frequency of its oscillations matches the system's natural frequency of vibration (its resonance frequency or resonant frequency) closer than it does other frequencies. It may cause violent swaying motions and potentially catastrophic failure in improperly constructed structures including bridges, buildings and airplanes. This is a phenomenon known as resonance disaster.

Harmonic oscillator

In classical mechanics, a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force F proportional to the displacement x: where k is a positive constant. If F is the only force acting on the system, the system is called a simple harmonic oscillator, and it undergoes simple harmonic motion: sinusoidal oscillations about the equilibrium point, with a constant amplitude and a constant frequency (which does not depend on the amplitude).

Sympathetic resonance

Sympathetic resonance or sympathetic vibration is a harmonic phenomenon wherein a passive string or vibratory body responds to external vibrations to which it has a harmonic likeness. The classic example is demonstrated with two similarly-tuned tuning forks. When one fork is struck and held near the other, vibrations are induced in the unstruck fork, even though there is no physical contact between them. In similar fashion, strings will respond to the vibrations of a tuning fork when sufficient harmonic relations exist between them.

Related lectures (62)

Forced Harmonic Oscillator: Resonance Phenomenon

Covers the forced and damped harmonic oscillator, including the harmonic solution and resonance phenomenon.

Forced Harmonic Oscillator

Explores the forced and damped harmonic oscillator, focusing on resonance and initial conditions.

Potential Energy, Mechanical Energy, and Resonance

Covers equilibrium, stability, potential energy, mechanical energy, and resonance phenomena with practical examples.

Forced Harmonic Oscillator: Digital Solution

Explores forced harmonic oscillators, resonance, and effects of damping on mechanical oscillators.

Forced Harmonic Oscillator: Resonance