Application of the variational iteration method for solving the Sturm-Liouville equations in the vibration of the earth dam

Subject Areas : Analyze

Yasser Khalili ¹ , Abdolali Neamaty ²

1 - Department of Basic Sciences/Sari Agricultural Sciences and Natural Resources University
2 - Department of Mathematics/ University of Mazandaran

Received: 2022-05-30 Accepted : 2023-09-12 Published : 2025-01-19

Keywords: روش تکرار تغییرات, فشار برشی, سد خاکی, پنسیل,

Abstract :

We can express the displacement and movement of the earth dams during the earthquake by Sturm-Liouville equations. Analytical and numerical methods are useful tools for solving such problems. In the present study the equation of motion and displacement of the earth dam is considered when it is applied the pressure as τ_yz=G(∂u/∂z+∂u/∂t) and it is given the solution for the equation derived from this displacement that is in the pencil form by the numerical method (variational iteration method). We can express the displacement and movement of the earth dams during the earthquake by Sturm-Liouville equations. Analytical and numerical methods are useful tools for solving such problems. In the present study the equation of motion and displacement of the earth dam is considered when it is applied the pressure as τ_yz=G(∂u/∂z+∂u/∂t) and it is given the solution for the equation derived from this displacement that is in the pencil form by the numerical method (variational iteration method).

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