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Then the nonlinear equations of motion are linearized to obtain the linear equilibrium and aeroelastic equations.
The nonlinear equations of motion are linearized at these time points, and the resulting linear equations are used to determine the eigenvalues and eigenvectors of the system.
The equations of motion are linearized about the equilibrium solution, and equilibrium stability and the free linear response are predicted from a discretized model.
In the first part equations of motion are linearized.
Then, the equations of motion are linearized to describe the small-scale motion of the system.
The nonlinear equations of motion are linearized using the conventional quasi static method and frequency results are obtained.
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Through application of the perturbation method to the equations of motion for a semi-circular pipe, new nonlinear equilibrium equations were derived and the equations of motion were linearized around the equilibrium configuration of the pipe.
The equations of motion for the cable/mass suspension are linearized about a generally sagged and supported equilibrium state and the eigensolutions governing free response are determined.
The dynamic equations are linearized about the rigid motion.
Assuming that the unsteadiness in the flow is small, the unsteady Euler equations are linearized about the mean flow to obtain a set of linear variable-coefficient equations that describe the small-amplitude harmonic motion of the fluid.
Although its equations of motion can be linearized, a bike is a nonlinear system.
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