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The system equations of the model are then derived.
The Newmark-β method is used to solve system equations of motion.
We first develop a general approach for establishing the system equations of motion through Kane׳s method.
System equations of motion coupling sensing and control effects are derived.
Bozzak-Newmark integration scheme is employed to discretize the system equations of motion in the time-domain.
Generic piezoelastic system equations of piezoelectric shell continua are formulated using Hamilton's principle and linear piezoelectricity theory.
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The Timoshenko beam theory is used to establish the system equation of motion.
Equation 3 and the system (6) are different from the system of equations of the nonlinear oscillator approach [13].
The system of equations of motion is derived by using Lagrange's equations.
This model solves the nonlinear system of equations of the thermoelectric and heat transfer equations.
The completely coupled system of equations of motion for MEE is applied.
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