Scrutiny of principle of energy survival in beam-columns and analytical solution of governing partial nonlinear differential equation by new approach AYM
1 Department of Civil Engineering and Chemical Engineering, University of Tehran, Tehran, Iran.
2 Department of Chemical Engineering, Faculty of Chemical Engineering, Islamic Azad University, Ghaemshahr, Iran.
2 Department of Chemical Engineering, Faculty of Chemical Engineering, Islamic Azad University, Ghaemshahr, Iran.
Research Article
International Journal of Frontline Research in Engineering and Technology, 2022, 01(01), 034–041.
Article DOI: 10.56355/ijfret.2022.1.1.0002
Publication history:
Received on 17 February 2022; revised on 29 March 20222; accepted on 31 March 2022
Abstract:
In this manuscript, we investigate and solve a complicated highly nonlinear differential equations in the beam-column in the Energy Survival Principal equation on the beam-column to show the ability of the first invented method which we named it AYM (Akbari Yasna’s Method). Certainly, we know that nonlinear beam-column process are very complex, and the governing differential equations governing them are nonlinearity complex. In this paper we present a new analytical solution which can easily analyze all such problems and make a great evolution in the nonlinear designing in the solid engineering (civil and mechanical and etc.). Finally, this scientific approach can create a great phenomenon in the analytical solution of nonlinear problems in engineering sciences, especially in the solids engineering.
Keywords:
New Approach; Akbari-Yasa’s-Method (AYM); Mode’s frequencies and Critical Load; Nonlinear Differential Equation; Principle of Energy Survival
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