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The activation energies for viscous flow and backbone motion were obtained using well-defined models.
The transient aerodynamic coefficients of the circular cylinder with predetermined motion were obtained from the numerical simulation.
Differential equations of motion were obtained from the Hamilton's Principle, taking into account all components of inertia forces.
Regimes of different particle behaviors such as stable periodic motion, period-doubling bifurcation motion, Hopf bifurcation motion, and chaotic motion were obtained.
The main characteristics of the object motion were obtained from the trajectory simulation and compared with experimental evidence giving good results.
Solutions to the non-linear equations of motion were obtained numerically to obtain the actual system response, which demonstrates the existence of limit cycles, and of quasi-periodic and even chaotic behavior.
Similar(52)
Then the compensation condition for the parasitic motion is obtained.
The angular position of the vibration motion is obtained analytically.
The equations of motion are obtained using Hamilton's principle.
Equations of motion are obtained from Lagrange's equations.
The governing differential equations of motion are obtained by using Lagrange's equations.
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