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Kment (2006a) argues that modal force, and hence necessity and possibility, come in many degrees.
Having these properties does not consist simply in having a specific grade of modal force (and these properties therefore aren't among the fundamental kinds of necessity).
N-relation theories were originally devised to avoid perceived shortcomings of these earlier accounts, such as their failure to account for the modal force and the objective character of natural laws.
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The performance of estimating the disturbance modal forces and the robustness property of the control law are also discussed.
The proposed methodology, based on the standard multi-mode approach for bridge buffeting, was used to compute the power spectral density of the buffeting modal forces and to derive the dynamic bridge response in the case that measurement errors in the aeroelastic loading were anticipated.
In accordance with the Italian building code (NTC 2008), the base shear force F and the roof displacement d obtained by the pushover analysis have to be converted into the corresponding modal force F* and displacement d* of the equivalent SDOF system, as follows: d^ = frac{d}{varGamma }quad F^ = frac{F}{varGamma }, (3)where Γ is the modal participation factor.
Then, torque singular state and modal force singular state are defined and visualized to demonstrate the singularity.
Since CMGs could exert both torque and modal force to the structure, it can also be used to simultaneously achieve attitude maneuver and vibration reduction of a flexible spacecraft.
A concept named as modal force singularity is introduced and analyzed in depth.
In order to obtain an accurate model of such system, the analytical expressions of the gravitational force, gravity gradient torque and modal force are investigated.
As the residual modal force is much smaller and agrees well with the clamped clamped conditions, fast convergence is achieved.
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