test 2 Flashcards
complex system vibrations
systems that have more than one part are complex
sine wave
frequency
period
amplitude
time waveform
time
level
spectrum
frequency
level
the superposition principle
in a linear system if there are two or more stimuli in the same location the result is simple
superposition
when there is more than one sound wave propagating the sounds combine in the simple additive fashion and the individual waves are not destroyed
superposition more detail
two oscillations overlap-> interference
two impacts of interference
complete destructive
complete constructive
superposition waves
if the waves are the same frequency, the same amplitude, and the same phase the resulting wave is twice the amplitude
if the waves are the same frequency the same amplitude and opposite phases the result wave is 0
complex vibrations
adding simple sine waves together
Fourier theorem
any complex vibration is the sum of sinusoidal components of varying amplitude frequency and phase
classes of complex waves
aperiodic complex waves
periodic complex waves
periodic complex waves
the oscillating source repeats a specific pattern in a specific time frame
fourier synthesis
if synthesis is possible then it should be possible to analyze a complex signal into its individual sine/cosine waves
square wave synthesis
combine pure tone in a specific way (add odd harmonics)
complex periodic synthesis
the off harmonics (if the infinite number of harmonics are added it becomes a square wave)
harmonics
components of a complex wave that are integral multiples of the fundamental
overtones
used more commonly by musicians
refers to harmonics other than the fundamental
first overtone = 2nd harmonic
lowest frequency in harmonics
not always the fundamental, can also be complex tone
aperiodic waves
complex vibrations with no patterns or repeating cycles
