Reza Attarnejad

TL;DR: In this article, the free vibration and stability analysis of axially functionally graded tapered Timoshenko beams is studied through a finite element approach, where exact shape functions for uniform homogeneous Timoshenko beam elements are used to formulate the proposed element.

TL;DR: In this paper, a beam element is proposed which takes advantage of the shape functions of homogeneous uniform beam elements, and the effects of varying cross-sectional dimensions and mechanical properties of the functionally graded material are included in the evaluation of structural matrices.

TL;DR: In this paper, the performance of the nonlinear finite element (FE) method to evaluate the load carrying capacity and failure mode of simply supported castellated steel beams is discussed. And the numerical results indicate that the best accuracy associates with the adaptive neuro-fuzzy inference system and the neural network models provide better accuracy than the proposed equations.

TL;DR: In this paper, a novel method based on mechanical/structural principles is introduced for free vibration analysis of arbitrarily tapered Timoshenko beams in preference to primarily mathematically based methodologies.

TL;DR: In this paper, structural analysis of axially functionally graded tapered beams is studied from a mechanical point of view using a finite element method using the concept of basic displacement functions (BDFs).