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Hamilton's principle is utilized to derive the equations of motion.
Hamilton's principle is utilized in deriving the equations of motion.
Hamilton's principle is utilized to derive the governing equations of motion.
Hamilton's principle is utilized to construct the size-dependent differential equations of motion.
Hamilton's principle is utilized with the purpose of deriving the governing equations in orthogonal curvilinear coordinates.
The minimum total potential energy principle is utilized to obtain governing equations and boundary conditions.
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The viscoelastic reciprocity principle was utilized by Cezario et al. (2011) to the development of a time-dependent BEM formulation.
The finite element method (FEM) with time-dependent length and Hamilton's principle are utilized to derive the governing equation.
The coupled constitutive equations involving ferroelastic, ferroelectric and ferromagnetic properties of multiferroic composite materials along with the total potential energy principle are utilized to derive the finite element formulation for the multiferroic or magneto-electro-elastic (MEE) plates/shells.
Most fossil fuels, either in the gaseous or liquid state, can in principle be utilized as a fuel for a SOFC to produce electricity provided that they are properly cleaned and reformed into simple fuels such as H2 and CO.
In this experiment, a simple principle was utilized to form GNP films: because the CTAB-wrapped nanoparticles in the solution possess a net positive charge, under an external electric field condition, the particles moved to the cathode and attached onto the ITO glass.
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