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The analytical models are formulated by using modal coupling theory, and as such can be readily applied to a variety of sound transmission problems.
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The beam is analyzed by using modal expansion theorem.
The beam deflection is expressed as a linear combination of modal functions by using modal analysis.
By using modal analysis and interval calculus, we investigate the method of computing upper and lower bounds of paramenters such as, natural frequencies, modal shapes, and FRFs.
The observed phenomenon in mass-loaded beam vibration is discussed using modal participation coefficients and the modal coupling index.
The plate response and the acoustic field is predicted by solving the coupled governing equations using modal expansion with the relevant eigenmodes of the plate dynamics and acoustic fields in the duct and cavity.
A comparison is made between damped and undamped systems of two identical coupled oscillators using modal analysis.
The proposed modal force compensator avoids exciting vibration by the means of canceling out disturbance input to elastic dynamics using modal force generated by CMGs.
These composers' styles were untouched by "the influence of their sophisticated European contemporaries", using modal or pentatonic scales or melodies and eschewing the European rules of harmony.
Using modal analysis, it is easy to determine that the low-frequency mode is mainly coupled with bending movement in the carbody, caused by the natural frequency of the equipment, whereas high-frequency mode is mainly caused by the interaction of the carbody's natural frequency and the equipment.
The modern practice has been to define AB by □(A→B), and use modal logics governing □ to obtain similar results.
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