Sentence examples for equilibrium equations can be from inspiring English sources

The governing equilibrium equations can be derived from Eq. 26, by integrating the displacement gradients by parts and setting the coefficients of δu 0, δv 0, δw 0, and δθ x,y to zero (Ferreira and Roque 2007, 2009).

2.3 it will be illustrated how this method works for the example depicted in Figs. 1 and 2. In general, whether or not the equilibrium equations can be solved in an explicit analytical manner strongly depends on the form of the combination functions (mathbf{c}_{Y}({ldots })).

For a static, conservative system with N degrees of freedom (DOF), the infinitesimally incremental form of the equilibrium equations can be written as (11) K ∼ T · q ˙ = P ¯, where P ¯ represents the vector of reference node forces, and (12) q ˙ = d q d λ, with q denoting the vector of node displacements.

At equilibrium (C ), the equation can be rearranged (D ) to yield the equilibrium potential, ΔΨ, in terms of the values of pH and [peptide] and the stoichiometric ratio.

Combining with the Nash equilibrium definition, the following equation can be obtained: psi (varvec{x}^{varvec,varvec{y}) = sumlimits_{l = 1}^{L} {left( {phi_{l} (varvec{y}_{l} |varvec{x}^{varvec ) - phi_{l} (varvec{x}^{varvec right)} le 0 (26).

Over time, the Pi-paper reaches equilibrium with the solution, and the kinetic Langmuir equation can be rewritten to a Langmuir equation.

With an acid, HA, the equation can be written symbolically as: HA + B A− + HB+ The equilibrium sign,, is used because the reaction can occur in both forward and backward directions.

This method combines the static and dynamic information in an equilibrium equation that can be solved using the Moore-Penrose generalized matrix inverse.

The salt equilibrium equation (Equation 10) can be used to assess the feasibility and impact of source reduction on the rootzone salinity by calculating the LR expressed as LF, and to compare the results with the expected percolation under improved irrigation practices.

The classical linear and angular momentum theorems are suitably extended for higher order inertia, from which the local motion equations and the moment equilibrium equations (stress symmetry) can be derived.

Therefore, the strong SaS formulation based on direct integration of the equilibrium equations of elasticity can be applied efficiently to the obtaining of 3D exact solutions for laminated plates.