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The coupling mechanisms of a partly opened cavity and a plate are analysed in terms of modal responses and directivity patterns.
This paper discusses the use of blind source separation (BSS) techniques to extract and identify modal responses and mode shapes from simulated data.
A generalized orthogonal function approach is proposed to obtain the derivatives of the bridge modal responses, and this eliminates the errors due to measurement noise.
The VMD-based modal identification algorithm decomposes the acceleration signal into a series of distinct modal responses and their respective center frequencies, such that when combined their cumulative modal responses reproduce the original acceleration response.
For the water-filled steel pipe used in the test (inner diameter 150 mm), measured modal responses and sound power at high frequencies (higher than 4·5 kHz) are much lower than expected for the lossless model.
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(3) In the experiment, the quadratic performance index, modal response and sensor signals for the present paper's optimal actuator placement scheme are better than those described in the literature, but the placement requires more energy, which is consistent with the numerical results.
Based on the separated modal responses, frequency and damping can be easily identified using SI methods based on a single degree of freedom (SDOF) system.
Numerical results for complex modal identifications are presented, and the quality of the identified modal matrix and modal responses, extracted using the complex SOBI technique and implementing the proposed formulation, is assessed.
Furthermore, a new modal combination rule (called FRS-CQC), which considers the correlation between modal responses of a structure and correlation between responses of equipment and its supporting structure, is derived based on random vibration theory.
An energy error index is introduced and defined as the ratio between the squared modal response error and the exact modal energy over the response duration, accounting for the effects of both response amplitude and phase.
With the knowledge of corresponding Green׳s functions and modal responses, the modal loads are identified later.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com