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Afterwards, the derivations of generalized balance equations, including boundary potentials, completely based on a tensorial representation is carried out.
First the theoretical aspects of this fully coupled micromorphic formulation is presented in details and the proposed generalized balance equations as well as the fully coupled micromorphic constitutive equations deduced.
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A generalized harmonic balance method is used to determine the limit cycles.
Impacts and the associated impulsive forces are incorporated into the dynamic formulation by using a generalized momentum balance.
The homoclinic orbits for the unperturbed system are obtained by using Jacobian elliptic functions with the generalized harmonic balance method.
Walsh et al. (1994a, b) derived the generalized material balance equation (GMBE) applicable to the full range of conventional reservoir fluid types.
An equivalent nonhysteretic nonlinear system with amplitude-envelope-dependent damping and stiffness is firstly obtained from the given system by using the generalized harmonic balance technique.
This paper summarizes and extends results in two previous papers, published in conference proceedings, on a variant of the generalized harmonic balance method (GHB) and its application to obtain subharmonic solutions of forced non-linear oscillation problems.
Application of the generalized impulse momentum balance provides a system of algebraic equations that is solved for the velocity jumps and the impulses associated with the contact force and the reactions involved.
From the theoretical impact consideration, three approaches including the generalized momentum balance (GMB), the continuous force model (CFM), and the CFM associated with the effective mass compensation EMC are adopted, and are derived on the basis of the energy and impulse momentum conservations.
This approach allows decoupling between deblurring and denoising by considering the optimization problem as a generalized Nash equilibrium balance of two objective functions.
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