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To account for the possibility of multiple equilibrium paths, the critical one is directly identified using the minimum 2nd-order work criterion.
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Implementation of a simple yet highly efficient arc-length solver which is able to trace equilibrium paths having multiple snap-backs is given.
Of course, one can design packed beds with multiple equilibrium stages to get higher separation factors.
Its focus is the properties of equilibrium paths, rather than equilibrium states.
Multiple equilibrium conditions.
(1) Multiple equilibrium conditions .
At critical loads, the primary equilibrium path reaches a bifurcation point and branches into neutral equilibrium paths.
In theory, it is possible to have multiple equilibrium conditions under Nash equilibrium explanation.
Mathematical definitions of the three categories symmetric, antisymmetric, and zero-stiffness equilibrium paths are given.
The agreement of the proposed solutions with bifurcations observed on non-linear equilibrium paths is good.
The nonlinear equilibrium paths were traced using the Arc-length method.
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