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Using the differential equilibrium equations for two-dimensional elasticity and the interlayer stress and strain continuity requirements, special treatment is developed for the transverse normal stresses, which are thus represented by a continuous piecewise cubic function.
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Starting from these considerations, a geometrically nonlinear model for buckling behaviour analysis is proposed and formulated using the differential equations of equilibrium.
System boundedness, feasible equilibrium analysis and the stability of all the feasible equilibria is examined using the differential equation theory.
The 3D exact shell model uses the differential equations of equilibrium written in general orthogonal curvilinear coordinates and developed in layer-wise (LW) form.
For this purpose, exact displacement shape functions are solved from the differential equilibrium equation, by using arbitrary boundary conditions.
The differential equilibrium equations on forces were established to calculate the asymmetrical rolling force equation by slab method.
To overcome this difficulty, we used the differential inequality theory, and finally proved the following results: if the positive equilibrium exists, then it is globally attractive.
The standard charging rate was derived using the equilibrium dynamic model, whereas the differential one was obtained by establishing the fuzzy synthesized evaluation model.
A system of ordinary differential equations was formulated to test the suitability of using the CO2 HCO3− equilibrium to measure pHi.
This chapter presents a drum subjected to the two-belt tensions T1 and T2, the moment M necessary to prevent rotation, and a bearing reaction R. The forces acting on the differential element are calculated using the equilibrium of the element.
Genotype frequencies were evaluated using the Hardy-Weinberg equilibrium test.
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