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In "Experimental Modal Analysis" system identification is used to model mechanical systems with a few inputs and hundreds of outputs.
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A modal analysis scheme is developed for systems with frequency dependent parameters which are assumed to be well represented by even order polynomials.
The system dynamics is formulated via complex modal analysis and system complex frequencies are characterized via parametric analysis.
By relating the insights from modal analysis to system theory, necessary and sufficient conditions are derived for linear mechanical systems to have the DTM property.
In modal analysis, the system eigenvalues and corresponding eigenfunctions can be determined.
To this end, experimental modal analysis and system identification were conducted on six statues while in their installed condition at the Asian Art Museum in San Francisco, California.
In particular, modal analysis and system identification are much more difficult than when applied to lightly damped metallic structures, due to the high modal overlap.
However, the sound radiation in the air of these ultrasonic transducers and the resulting radiation force imparted onto a structure is not well understood and critically crucial for performing accurate modal analysis and system identification.
By modal analysis, the system has three oscillation modes: (1) 0.548 Hz with a damping ratio of 4.38%, is an inter-area mode between Area-1 (G2, G2) and Area-2 (G4, G4); (2) 1.002 Hz with a damping ratio of 4.86%; (3) 1.036 Hz with a damping ratio of 4.92%.
Thes paper constitutes the first part of a solution to the "classical decoupling procedureof linear systems.
The accurate and reliable estimation of modal damping from output-only vibration measurements of structural systems is a continuing challenge in the fields of operational modal analysis (OMA) and system identification.
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