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Equations of motion for structures with and without TMD were solved by the modal analysis procedure.
For most of the typical structures, the limiting period is found to be lower than that obtained by the modal analysis.
The set of discretized system equations is partially uncoupled by the modal analysis procedure suitable for gyroscopic systems.
To control resonance-type fatigue testing, both the moment distribution on the blade calculated by the modal analysis and the testing amplitude calculated by the damping analysis must be known.
The existence of more than one source of loess material (confirmed by the modal analysis) and the differences in depositional paleo-environments resulted in slightly different mechanical compositions of the investigated parent materials.
On the other hand a change in modes occurring along the fundamental eigencurve, which modifies its slope from positive to negative with the increasing load, is found theoretically and confirmed by the modal analysis.
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The technique identified the modal parameters of each vibration modes independently by decoupling the modal analysis equations, thereby simplifying the identification procedure.
Transverse vibrations of a PMMA disk have been analyzed by employing the modal analysis technique and an approximate method, with the Hertz theory used to evaluate impact force.
By utilizing the modal analysis and Galerkin's method, we can obtain a set of approximate governing equations of motion with time-dependent random coefficients and forcing functions.
These can be minimised using a detailed representation of the mass distribution across the width of the bridge deck, and a consistent mass matrix, and by preceding the modal analysis with a geometric non-linear static analysis.
The global motions generated by (1) sinusoidal excitations using exciter, (2) a traffic loading, and (3) an earthquake are analyzed by using the modal analysis method or the direct integration method.
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by the modal modal
by the modal strain
by the modal decomposition
by the modal transformation
by the modal method
by the modal pushover
by the modal parameter
by the modal superposition
by the modal quality
by the modal approach
by the modal vehicle
by the modal summation
by the new analysis
by the modal realist
by the modal coupled-wave
by the modal coupling
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