RAT 2/Quiz 3 - Chapter 4

What states that any complex oscillatory (vibratory) motion is the sum of various sinusoidal motions of varying amplitude, frequency and phase?

Fourier Theorem

A spectrum is a graph of a complex waveform that shows the ________/waveform energy of individual components on the ___- axis, arranged in of order of _________ on the ___-axis

amplitude, y, frequency, x

a vibration without a repeating pattern in time

aperiodic vibration

What are the 2 classes that complex vibrations can be divided into?

aperiodic, periodic

Fourier Theorem states that any ______ _______/________ motion is the sum of various ______ motions of varying ______, _______, & _______

complex oscillatory/vibratory, sinusoidal, amplitudes, frequencies, phases

Waveform Analysis is the process of breaking down a _______ _______ into its individual parts. It can be done _________,via a ________ ______, or it can be done __________, using analytical tools based on _________ _________.

complex vibration, electronically, software package, mathematically, fourier theorem

Depending on how waveform analysis is applied, it can also be called what 4 other names?

fourier analysis, fourier transform, spectrum analysis, frequency analysis

Waveform analysis can decompose a signal into its component sinusoidal waveforms which are aka

fourier series

A spectrum can be thought of as a display of a waveform in the _______ domain

frequency

the first harmonic of a complex frequency is what

fundamental frequency

What class of aperiodic vibrations is a random sequence of events resulting from the combination of very large (infinite) number unrelated components?

noise

What are the two classes of aperiodic

noise, transient

Most vibrating systems have more than one resonance frequency. Examples of systems with only one resonance frequency would be the ________ & the _____ ____ ______ system

pendulum, mass and spring

a vibratory motion in which an object returns to the same point in space periodically (at equal periods of time) during the motion

periodic vibration

______ vibrations are rarely present in nature. Instead, most natural vibrations are ______.

simple, complex

Complex vibrations are the sum of two/more ______ vibrations or _______ __________

simple, frequency components

Waveform synthesis is the process of combining several individual _______ _______ into a _______ _______

sinusoidal motions, complex waveform

The appearance of a complex waveform can vary considerably depending on the number of ________ components and the __________, _________, and ________ _____ envelopes of these components

sinusoidal, frequencies, amplitudes, temporal time

A graph of a complex waveform showing the amplitude/waveform energy of the individual components (on the Y-axis) arranged in order of frequency (on the x- axis) is called a

spectrum

What class of aperiodic vibrations is a brief single event that ceases to exist after a very short time (e.g. door slam)?

transient

A waveform is used to display _________ as a function of ______.

vibrations, time

The process of breaking down a complex vibration into its individual components

waveform analysis

The process of combining several individual sinusoidal motions into a complex waveform is called

waveform synthesis

A _______ is used to display vibrations as a function of time. When you represent anything as a function of time, it's called a _____ ______

waveform, time domain

aperiodic vibrations is a vibration ....

without a repeating pattern