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The initial model was built using the rigid body refinement with Phenix.refine in the Phenix program (Adams et al., 2010).
Using the rigid body angular differential equation, we obtain frac{{dq}}{{dt}} = frac{1}{2}q otimes w (12).
The cracking mechanism was analyzed using the Rigid Body Spring Method with a corrosion-expansion model, which utilized a set of experimental data relating to corrosion distribution.
In this section, we derive the rigid body estimator for the general 3D case, using the rigid body dynamics and the contact force measurement equations presented in the previous subsections.
Two different situations are analyzed: the ill-conditioning caused by low constraining is addressed deflating the total rigid body modes, while the one concerning the heterogeneity of the problem by using the rigid body modes of separate components.
The assembly is defined, and knowing the payload and the end point trajectory, the velocities and accelerations of the parts, joint forces and driving torques are calculated using the rigid body dynamics.
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We have used the "rigid body" approach for the domain orientation in the Sk45 tandem.
The constraint spaces and the position spaces are firstly derived based on the screw theory instead of using the rigid-body mechanism design experience.
All molecules were aligned to flavone as a template by using the rigid-body least-squares fitting method.
The EPI images from each experiment were corrected for slice timing differences using SPM5 and registered to the mean image of the first experiment using the rigid-body transformation of AIR5.2.5 [45].
Studies [17, 18] found an important effect of the elastic car body on the riding comfort, but the distribution rules in the frequency domain of the vibration response calculated using the elastic car body model are similar to those calculated using the rigid car body model.
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