Acoustics Flashcards
elasticity
Elasticity (internal stiffness) of the mass returns the mass back to its resting position (equilibrium)
inertia
Due to inertia, the mass moves beyond its rest position
Mass Spring Oscillator
The spring-mass oscillator consists of a spring (fixed at one end) that is attached to a mass which is resting on a special low-friction surface.
When not vibrating (at rest), the system is at equilibrium
Simple Periodic Signal
Always a sinusoidal waveform. Basically a pure tone. The waveform will repeat in equal periods.
What’s a waveform?
Change in some quantity over time. (Amplitude versus time)
What will determine the frequency of vibration?
the mass of the object &
the stiffness or elasticity of the object
Reduce Mass
Increases Frequency
Increasing Frequency
Reduces Mass
Are stiffness and frequency directly or inversely related?
Stiffness and Frequency have a direct relationship.
Are mass and frequency directly or inversely related?
Mass and Frequency have an inverse relationship.
What two properties determine the frequency of the spring-mass oscillator?
The spring-mass oscillator will vibrate at a frequency that is determined by its mass and stiffness
Period
the time it takes for one complete cycle of periodic vibration to occur
What is the x-axis of a wave form?
time
Frequency (f) and Period (T) are reciprocally related: (formula)
f (Hz) = 1/T (s) and T (s) = 1/f (Hz)
ex. If T = .01
1/.01 = 100 = F=100Hz
1000 milliseconds
1 second
50 milliseconds
.05 second
5 ms
.005 second
What determines the amplitude of vibration?
Magnitude of the force and degree of energy loss (damping)
damping
reduction of amplitude over time. (Energy Loss) The amplitude of vibration will gradually decrease because of energy losses in the system (friction)
For a lightly damped wave, amplitude decays slowly
For a heavily damped wave, amplitude decays rapidly
peak to peak amplitude
Distance between a waveforms peak and trough
peak to trough
peak amplitude
Distance between zero (equilibrium) and the waveform’s peak or trough
Propagation of a Sound Wave
Air particles, like the spring-mass oscillator, move in place around their rest position
How does a sound wave travel in air?
When air particles are disturbed, they behave like small masses connected to one another by springs. (Air, an elastic medium)
Simple sound waves in air
When a tuning fork is struck, air particles will move in place about their theoretical rest positions
Which is shorter in wavelength? Men or Women’s speech?
Typically women’s.
Which is lower in frequency? Men or Women’s speech?
Typically men’s.
Describe the relation of wavelength and frequency.
Wavelength and frequency are inversely related. Higher frequency sounds correspond to shorter wavelengths, and lower frequency sounds correspond to longer wavelengths.
wavelength equation using words
wavelength = velocity (of sound) X frequency.
How is frequency measured?
Hz
What answers the question “How Often”?
frequency
What answers the question “How fast”?
speed
Which material generally has the strongest bond between molecules? (solid, liquid, or gas?)
solids
Why does sound travel faster through solids?
strong bonds in solid materials allows particles to interact with each other more easily than weaker bonds.
How does air pressure influence the speed of sound?
Air pressure influences the density of the air. Greater pressure = increased density of particles.
How does temperature influence the speed of sound?
Temperature influences the strength og the interaction between particles. Higher temperature causes interaction between particles to become more elastic (they are more easily separated)
True or false: the speed of a sound wave is dependent upon its frequency or wavelength?
false: The speed of a sound wave can be altered only by the properties of the medium which it travels (density, temperature, etc.)
Why do sounds travel farther at night?
This effect is due to temperature and refraction. In the day air is warmer toward the ground than the higher air above. This causes refraction- A difference in velocity causes the sound to bend upward to the cooler air. At night, air is cooler toward the ground and the sound waves bend downward. As a result, the sound waves appear to be traveling farther, as they stay closer to the ground across a greater distance.
What is our perception of pitch based on?
It is strongly based on the frequency of the sound wave, but it is also influenced by the intensity of the sound.
What is our perception of loudness based on?
Our perception of loudness is primarily based on intensity, but is also strongly influenced by frequency.
What is the JND (just noticeable difference) between two sounds that can be measured?
about 1 decibel (but if very loud can drop to half a decibel)
If two sounds are equally “loud” (60 dB SPL) but at different frequencies, will they be perceived as equally loud?
No, the sensitivity of the ear is frequency dependent.
spectrum
amplitude (y axis) versus frequency (x axis)
What kind of sounds will have line spectra?
periodic
JB Fourier
Showed mathematically that all complex periodic sounds are made up of or can be broken down into a set of sine waves of different frequency, amplitude, and phase.
How does sound wave travel in air?
When a tuning fork is struck, air particles will move in place about their theoretical rest positions
As the disturbance moves away from the source, air particles will alternately become more densely packed (compression areas) and more widely dispersed (areas of rarefaction)
When air particles are disturbed, what do they behave like?
When air particles are disturbed, they behave like small masses connected to one another by springs. (Air, an elastic medium)
Sound wave in air is an example of a ….
Longitudinal wave
The particles of the medium move in _______________ as the wave.
The particles of the medium move in the same direction as the wave.
A ripple in water is an example of a ______ wave
A transverse wave
Sound in air is an example of a ________ wave.
A longitudinal wave
Propagation Velocity (C):
The speed of sound in air
Under normal atmospheric conditions (18o C), a sound wave will travel approximately 343 m/s
What is the speed of sound in air in normal atmospheric conditions (18o C)?
343 m/s
Wavelength
The distance in space spanned by one cycle of periodic wave motion; measured usually in meters
What’s the difference between period and wavelenth?
period is time; wavelength is distance
Symbol for wavelength
lambda λ
λ =
λ = CT (C=propagation velocity), Period = T
T=
1/F (period)
If a male has a 100Hz frequency what is the size of the wavelength?
(You need to know that speed of sound is always 343 m/s
use formula wavelength = C*T. Divide the 343 by the frequency (100) = 3.43 m
How do sounds cancel each other out?
When you have two sine waves with identical frequency that are 180 degrees out of phase toward each other, they will cancel each other out ( destructive interference)
What’s the minimum amount you have to shift a sine wave over another to quantify phase relationship
90 degrees; nothing can be greater than 180
Complex signals consist of
Complex signals consist of more than one frequency
What might you say to describe complex aperiodic sounds?
noise
Who discovered that any complex waveform can be broken down into a set of sine waves of different frequency, amplitude, and phase
J.B. Fourier
How are sine waves that make up complex periodic signal’s related?
harmonically related (occurring in different whole number intervals)
What’s a harmonic?
Whole number multiples of the fundamental
Each sine wave that makes up a complex periodic wave is an
harmonic
Describe the harmonic structure of the following complex periodic signals:
fo = 100 Hz fo = 250 Hz
The 100Hz will have the first harmonic (the most evergy) at 100 Hz, There will be another at 200, 300, and 400 (the spacing will be equal to the fundamental frequency)
How much of the glottal amplitude signal drops off
Generally it is 6-12 dB an octave below below 1000 Hz
What’s an octave?
a doubling of a frequency
What does a spectrum display?
A spectrum is an amplitude vs frequency display
What do the lines in a spectrum represent?
the harmonic
periodic waveforms have a
line spectra
Complex Aperiodic signals consist of
Complex Aperiodic signals consist of multiple frequencies, but the pattern of vibration does not repeat itself (random noise)
Are frequencies harmonically related?
Frequencies are not harmonically related
Rather, energy is distributed over a range of frequencies
transient complex
dissapears
continuous complex periodic sounds
continues
complex aperiodic sounds have what kind of spectrum?
continuous line spectrum
duration of noise can be described as
transient or continuous; this is only for complex aperiodic sounds
What can’t /m/ be described as continuous?
It is not noise, because it is quasi-periodic complex
Aperiodic sounds (noise) can be
transient or continuous
describe /s/
continuous aperiodic sound
Describe /g/
continuous aperiodic sound
continuous specta
consists of energy over a wide range of frequencies, with the max frequency concentrated (usually somewhere in the middle)
How are periodic sounds different from aperiodic sounds?
Unlike periodic sounds that have energy present at discrete frequencies (harmonics), aperiodic sounds have a band of energy distributed over a wide range of frequencies.
describe /m/
complex quasi periodic
describe /ae/
complex quasi periodic
describe /l/
complex quasi periodic
describe /k/
transient complex aperiodic
describe /f/
continuous complex aperiodic
describe /v/
complex quasi periodic and continuous complex aperiodic (because from two sources)
describe /dʒ/
complex quasi periodic and transient complex aperiodic (because from two sources)
describe /b/ /d/ or /g/ initially
transient complex aperiodic sounds
describe /b/ /d/ or /g/ in a medial position
complex quasi periodic and transient complex aperiodic
Voice Onset Time (VOT)
the time it takes from the release of a stop to the vibration for the following sound
Voice Onset Time (VOT) for initial b
10-15 ms
What would have a VOT of 0
voiced sounds (truly voiced sounds), when the voicing happens the same time as the stop.