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The elastic wave vector in seepage media can be derived by improving the motion equation and the continuity equation, as well as considering the initial seepage potential.
Modifying the continuity equation and motion equation and adding the scalar potential of initial flow help to derive the analytical wave vectors of the P- and S waves.
Based on the elastic theory of transient flow, the motion equation and continuity equation of the transient flow are established, and the transient flow model of long-distance pipeline is derived.
However agreement between TPPinsp-P and TPPinsp calculated from respiratory motion equation and chest wall elastance (TPPinsp-E) was weak with Band-Altman bias (TPPinsp-E - TPPinsp-P) = 4.5 ± 8.9 [95%CI −13 22].
Analysis of the nonlinear behavior of the double clamped silicon nanowire resonator with the consideration of the nonlocal effect has been made based on the Duffing motion equation and the Galerkin's method.
Finally, combined with (dphi) or (xi), establish the motion equation and continuity equation at the next moment in terms of the new porosity, (phi_{t + 1} = phi_{t} + dphi_{t}) or (phi_{t + 1} = phi_{t} + xi cdot e_{t} cdot frac{{1 - phi_{t} }}{{1 + e_{t} }}).
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Assuming that a system is constituted of independent parts and the parts are connected by constraint conditions, the projection method involves a whole motion equation from motion equations and constraint conditions of each part.
The radiation of charged particle in curved space like any plasma problem is the simultaneous solving of several equations: the set of Maxwell equations, the particles motion equations and the geometry equations.
A substructure procedure which includes the foundation effects in the motion equations and the application of the dynamic solver of a commercial package is addressed.
The thermal effects are also included in the motion equations and the material properties of CNTRCs are assumed to be temperature-dependent.
First order shear deformation theory of shells accompanied with the Donnell type of kinematic assumptions are used to establish the general motion equations and the associated boundary conditions.
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