RETRACTED: Using the method of differential equations by quadratic to solve the free vibrations of columns under the effect of axial load and column weight

Kazemi, A.; Nadi, A.; Moradi, M.; Tahmoorian, F.; Beiranvand, P.

Growing Science » Engineering Solid Mechanics » RETRACTED: Using the method of differential equations by quadratic to solve the free vibrations of columns under the effect of axial load and column weight

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Engineering Solid Mechanics

ISSN 2291-8752 (Online) - ISSN 2291-8744 (Print) Quarterly Publication Volume 12 Issue 3 pp. 269-282 , 2024

RETRACTED: Using the method of differential equations by quadratic to solve the free vibrations of columns under the effect of axial load and column weight Pages 269-282 Download PDF

Authors: Amir Kazemi, Amir Nadi, Mohammadreza Moradi, Farzaneh Tahmoorian, Peyman Beiranvand

DOI: 10.5267/j.esm.2024.1.006

Keywords:

Abstract: This paper investigates various techniques used to solve the differential equations governing the free vibration of columns. The present work focuses on the study of the free vibration of Euler’s Bernoulli column of equal strength in compression, considering its own weight and the axial load in compression and tension while subjected to symmetrical boundary conditions. The investigation utilizes the differential quadrature method to examine the fifth natural frequency parameters of the column in different states of column boundary conditions and varying geometric section shapes, including pin-pin and clamp-clamp configurations. The results of this work contribute valuable insights for informed decisions on selecting the cross-section types and appropriate boundary conditions for ensuring the stability of such columns in civil constructions.

How to cite this paper

 Kazemi, A., Nadi, A., Moradi, M., Tahmoorian, F & Beiranvand, P. (2024). RETRACTED: Using the method of differential equations by quadratic to solve the free vibrations of columns under the effect of axial load and column weight.Engineering Solid Mechanics, 12(3), 269-282.

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