2 Works

Investigation of Free Vibration and Buckling of Timoshenko Nano-beam Based on a General Form of Eringen Theory Using Conformable Fractional Derivative and Galerkin Method

Farogh Soufi MOHAMMADI, Zaher RAHIMI, Wojciech SUMELKA & Xiao-Jun YANG
The purpose of this paper is to study the free vibration and buckling of a Timoshenko nano-beam using the general form of the Eringen theory generalized based on the fractional derivatives. In this paper, using the conformable fractional derivative (CFD) definition the generalized form of the Eringen nonlocal theory (ENT) is used to consider the effects of integer and noninteger stress gradients in the constitutive relation and also to consider small-scale effect in the vibration...

Approximate Estimation of Stability of Homogeneous Beam on Elastic Foundation

Iwona Małgorzata WSTAWSKA, Krzysztof MAGNUCKI & Piotr KĘDZIA
The paper deals with a proposition of obtaining an analytical solution for a beam on elastic foundation. The main objective of presented work was stability analysis of the axially compressed beam. The analytical model was proposed. Shape function for inhomogeneous properties of the foundation was assumed. The Galerkin method was used to calculate the values of critical forces. Main conditions have been defined. The critical loads as a function of geometric and mechanical properties of...

Registration Year

  • 2019
    2

Resource Types

  • DataPaper
    2

Data Centers

  • Instytut Podstawowych Problemów Techniki PAN
    2

Affiliations

  • Poznań University of Technology
    2
  • China University of Mining and Technology
    1
  • Tabor (Poland)
    1
  • Urmia University
    1