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A solution to the dynamic equations of motion is constructed by the superposition of two partial solutions, each providing zero shear stresses at the plate faces.
The time integration of motion is constructed using Gear's fifth-order predictor corrector method, with a time step of 1 fs; the Verlet neighbor list method is used to increase the calculation efficiency.
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Periodic solutions of the discretized equations of motion are constructed using a shooting technique.
A 6-DOF equation of motion was constructed by defining the forces and moments acting on the supercavitating body surface that contacted water.
Based on the Rayleigh, Timoshenko, and higher-order beam theories, the dimensionless equations of motion are constructed and then numerically solved.
The aeroelastic equations of motion are constructed using von Karman plate theory, first-order piston theory and quasi-steady thermal stress theory.
The aeroelastic equations of motion are constructed using Love's shell theory and von Karman Donnell-type of Karman Donnell-typeity cofpled with linearized first-order potential (piston) theory.
Besides, the airship's equations of motion are constructed by including the factors about aerodynamic force, added mass and wind profiles which are developed based on horizontal-wind model.
Our current findings are in line with previous studies that suggest that structure-from-motion is constructed through surface representations [41], [42], [43] and that the rivalry in a bistable structure-from-motion sphere takes place between the two surfaces competing for the 'front-location' in their depth ordering [23].
In this paper, the mapping dynamics of periodic motions for a three-piecewise linear system under a periodic excitation is developed, and the mapping structures for specified periodic motions are constructed.
Then, the representative motions are chosen into a motion database, where a motion graph is constructed to connect those motions with smooth transitions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com