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Differential equations of equilibrium.
These three conditions are independent of one another, and their expression in mathematical form comprises the equations of equilibrium.
The Navier equations of equilibrium are solved for each layer in the frequency domain.
The basic equations of equilibrium for fibers on a torus are given based on netting analysis.
The Euler Ostrogradskii equations are used to derive the equations of equilibrium, which contain four differential equations with 12 orders.
Using equations of equilibrium, stress strain and strain-displacement in a differential equation, containing creep strains, for displacement are obtained.
The formulation yields two systems of coupled differential equations of equilibrium in seven displacements fields.
The equations of equilibrium are derived using the principle of minimum potential energy (PMPE).
The equations of equilibrium are derived based on the principle of stationary total potential energy.
The equations of equilibrium are obtained using Principle of Minimum Potential Energy (PMPE).
These nonlinear governing differential equations of equilibrium are linearized using quadratic extrapolation technique.
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