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Thus, the 3D elasticity equations of motion are reduced to 2D equations involving circumferential harmonics.
The governing equations of motion are reduced and solved by assumed mode model.
By modal expansion and spatial averaging, the equations of motion are reduced to a system of ordinary differential equations.
The equations of motion are reduced using the Galerkin method to a system of infinite nonlinear ordinary differential equations with quadratic and cubic nonlinearities.
For the case of relatively slow parameter variations the equations of motion are reduced by Krylov Bogoliubov averaging to those describing static instability of the response amplitude.
These analytical outcomes are validated by showing that they are identical to Lawden's classical result if the equations of motion are reduced for a central gravity field.
Similar(45)
Hip sagittal motion was reduced in both patients.
Knee motion was reduced, with a passive range of motion from full extension to 50° flexion.
Respiratory motion was reduced by imaging the animals in the supine position and with respiratory trigger.
The order of equations of motion is reduced using modal reduction method.
Thanks to this approach, high stabilization capabilities are obtained while the impact on the longitudinal motion is reduced.
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