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Modal Analysis (Applications (Experimental Modal Analysis Systems (Sensors…
Modal Analysis
Applications
Experimental Modal Analysis Systems
Sensors
Accelerometers
Load cells
Laser vibrometer
Stereo cameras
Host PC to view data
Data acquisition systems
Analog-to-digital converter to
digitize analog instrument signals
Classic Experiments
SIMO
(single-input, multiple-output)
One excitation point
Response measured at multiple points
MIMO
(multiple input/output)
Multiple excitations
Partial coherence analysis:
describes which part of a response come form which excitation source
Measuring vibration of a car's body
when attached to a shaker
Noise pattern . in the room when
excited by a loud speaker
Noise Engineers
Vibration Engineers
FEA
Analysis
Impact analysis
FEA (Olin Class)
Project teams
Mode Surperposition
EOM
Vibrational modal analysis:
[M]{a(t)} + [K]{x(t)} = 0
Discrete System:
[M]{a(t)} + [C]{v(t)} + [K]{x(t)} = {f(t)}
Degrees of Freedom
Frequency Response Functions (FRFs)
Domains of View
Time Domain
FFT
Frequency Domain
Linear Algebra
Matricies
Linear Combination
Modes
Natural Frequencies / Eigenfrequencies
Resonance / Pattern
Mode Shape
Eigenmode
Expansion Theorem
Number of degrees of freedom ->
number of natural modes
example
example
useful to
example
Converts these domains
Measured In
Define
Utilizes
Multiple FRF's in matrix converted to Frequency domain
Linear combination of frequencies
Produce a
Describe