Sentence examples similar to are analytically investigated through multiple scale method from inspiring English sources

The buckling and the post-buckling behaviors of a perfect axially loaded column are analytically investigated through a global bilinear moment curvature elastoplastic constitutive law.

The performance parameters are derived through exhaustive analytical study based on a Markovian model of finite population, while the throughput optimization conditions are analytically investigated.

The dynamic behaviors of system are investigated by means of the so-called multiple scale method.

The study of the durability of the sorbent is investigated through multiple sulphidation regeneration cycles.

Through the analytical study with multiple scales method, two slow invariant manifolds (SIM) are obtained for two VI NES, and different SIM that result from different clearances analytically supports the principle of separate activation.

The obtained equations are solved through Galerkin and multiple scales methods for primary and secondary resonances.

It is shown that the direct multiple scales method yields better results for the system than the ordinary discretization multiple scales method.

At last, these equations are solved by multiple-scales method.

An approximated solution is extracted analytically by a combination of the asymptotic straight-forward expansion and multiple scale method.

The dynamic equations of motion of a two-element system are solved analytically using the asymptotic multiple-scales method for the weakly nonlinear system.

Then, the multiple scales method (a perturbation method) is applied to obtain the appropriate solutions.