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- Chapter 4: Vibrations

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sum of the finite number of components that does not repeat its pattern within a time period of observation

complex vibration

any vibration consisting of the sum of more than one sinusoidal vibration

types of complex vibration

aperiodic

periodic

periodic

fourier theorem

any complex oscillatory motion is the sum of various sinusoidal motions of varying amplitude, frequency and phase.

aperiodic vibration

a vibration without a repeating pattern in time

periodic vibration

a vibratory motion in which an object returns to the same point in space periodically during the motion

Fundamental period

The duration of one cycle of a complex periodic motion.

Equation for fundamental period

To= sec/cycles

Equation for fundamental frequency

fo= cycles/sec

Fundamental frequency

the lowest frequency of vibration

waveform synthesis

combining several individual sinusoidal motions into a complex waveform

how to determine waveform synthesis

add the instantaneous magnitudes of the different waveforms at any point in time

Harmonics

frequency components of a complex waveform that are whole-number multiples of the fundamental frequency.

First Harmonic

is the fundamental frequency

Second Harmonic

component that is two times the fundamental frequency

Overtone

Vibration whose frequency is a multiple of the fundamental frequency; kind of like harmonics but up one step.

ex. first overtone = second harmonic

Greatest Common Factor GCF

The largest factor that 2 or more numbers have in common

Common Factor

number by which all the numbers in a given set can be divided without a remainder

Missing fundamental/ phantom fundamental

the components do not include a frequency equal to the GCF

Periodicity

the concept that a periodic wave keeps repeating itself for an infinite amount of time

Noise

random sequence of events resulting from the combination of a infinite number of unrelated components-- aperiodic waveform

Transient

brief single event that ceases to exist after a very short time (door slam)-- aperiodic waveform

Complex inharmonic vibration:

Waveform Analysis

breaking down a complex waveform to determine its individual components

Spectrum

graphical representation of a complex waveform showing the waveform energy (amplitudes) of the individual components arranged in order of frequency --- Graphical representation of the Fourier series of a complex vibration

Line Spectrum

when all complex waveforms result in a spectrum consisting of separate vertical lines-- both periodic and aperiodic vibrations

Continuous Spectrum

Spectrum appears as a filled in area (white noise)--infinite number of sinusoidal components

Amplitude spectrum

Amplitude by frequency, shows formants in peaks

Nodes

point on a vibrating system (string) where displacement remains zero-- attachment points

Antinodes

point at which the vibration magnitude is greatest-- on a string

Mode of vibration

the specific vibration pattern of a vibrating system associated with each resonance frequency of the system

Octave

doubling a frequency

About this deck

Author: Karlie E.

Created: 2012-11-26

Updated: 2012-11-26

Size: 31 flashcards

Views: 6

Created: 2012-11-26

Updated: 2012-11-26

Size: 31 flashcards

Views: 6

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