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The dynamic stiffness matrix is derived by use of the superposition method and the projection method.
Equilibrium equations are derived by use of minimum potential energy principle.
The weakly non-linear differential equation is derived by use of the averaging method and the method of multiple scales.
Furthermore, a formula remarkably similar to the Selberg formula can be derived by use of the particular simplified flutter-onset condition.
The corresponding explicit analytical expressions for the input probe and generated FWM pulsed fields are derived by use of the coupled Schrödinger Maxwell approach and the FWM efficiency versus several variables is also discussed in details.
The vibration equations of the pipeline are derived by use of Newton's law of motion, while the fluid equations are derived based on the concept of a deformable moving control volume.
Similar(41)
The shape derivatives are derived by using a Lagrangian function and the adjoint method.
Here the results are derived by using augmented Lyapunov functionals.
Theoretical formulations are derived by using Hamilton's principle.
Governing equations are derived by using Hamilton's principle.
The dispersive equations are derived by using Bloch theorem.
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