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The new controller is derived utilizing the concept of the integral manifold of the singularly perturbed differential equations.
A mean total velocity response spectrum for characterizing the mean absolute input energy of multiple-support structures is derived utilizing their pseudo-static response.
A non-linear stochastic finite element formulation for the stochastic response analysis of geometrically non-linear, elastic two-dimensional frames with random stiffness properties and random damping subject to stationary random excitations is derived, utilizing deterministic shape functions and random nodal displacements.
An analytic solution for the fracture energy release rate is derived utilizing engineering beam theory assuming small deformations.
The approach is derived utilizing simplifying assumptions to the general heat transfer equation for standard fire and is then extended for application under design fire scenarios.
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Dimensionless horizontal load-displacement and overturning moment-rotation relationships are derived utilizing the Power law and Buckingham's theorem.
The nonlocal governing equations of FG-MEE nanoplate have been derived utilizing Hamilton's principle for MEEMs.
The analytical description of the Gibbs energies of pure succinonitrile (SCN) and pure (d camphor (DC) were derived utilizing the data on temperature and enthalpy of transformations, and temperature dependencies of heat capacity available in the literature.
The general four pole parameters for a system of two continuous three-dimensional cavities connected by n pipes are derived utilizing four pole parameters of each individual cavity in terms of its natural modes, frequencies, and modal damping.
Based on this analysis of the individual variables, five combined scores have been derived utilizing all of the individual scores, which loaded on each factor.
The receptance of the ring is derived by utilizing the modal expansion method.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com