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The complete equation of motion is a non-linear non-autonomous one.
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The convergence of the complete equations of motion of the wheeled mobile robot is proved by the Lyapunov stability theory.
In this paper, complete equations of motion for three following types of pendulum are described: (i) conventional (mass-on-rod), (ii) mass-on-spring type, and (iii) inverted (astatic), then their response sensitivities to each component of complex ground motion are examined.
The total drag force is then equated to the LHS of Equation 7 to form the complete equation of the three-phase contact line motion.
A complete set of equations of motion and boundary conditions governing the vibration of the system are derived.
Complete sets of equations of motion for general in-plane vibrations of rotating thick and thin rings on elastic foundations are derived.
In this paper we examine a general governing equation of motion for these systems and use it to provide a complete description of the dynamic response and its dependence on the system parameters.
Based on a single equation of motion in terms of relative displacement variable, a qualitative analysis is completed and some new and interesting dynamic behaviors are discovered.
The equation of motion for magnetic system is Landau-Lifshitz equation, a first order differential equation in time domain.
DCL cell movement was described by an interacting noisy point particle model with the equation of motion equation (9).
So we have an equation of motion, which linearizes the balance of the accelerations.
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