Generalized Beams and Continua. Dynamics of Reticulated Structures

Transverse Vibration for Non-uniform Timoshenko Nano-beams

In this paper, Eringen’s nonlocal elasticity and Timoshenko beam theories are implemented to analyze the bending vibration for non-uniform nano-beams.  The governing equations and the boundary conditions are derived using Hamilton’s principle. A Generalized Differential Quadrature Method (GDQM) is utilized for solving the governing equations of non-uniform Timoshenko nano-beam for pinned-pinned...

Vibration Analysis of Beams Traversed by a Moving Mass

A detailed investigation into the analysis of beams with different boundary conditions. carrying either a moving mass or force is performed. Analytical and numerical techniques for determination of the dynamic behavior of beams due to a concentrated travelling force or mass are presented. The transformation of the familiar Euler-Bernoulli thin beam equation into a series of ordinary differentia...

An Investigation of Stress and Deformation Behavior of Functionally Graded Timoshenko Beams subjected to Thermo-Mechanical Load

A functionally graded material beam with generalized boundary conditions is contemplated in the present study in order to examine the deformation and stress behavior under thermal and thermo-mechanical load. Three discrete combinations of functionally graded materials have been deliberate in including a wide range of materials and material properties. The variation of material properties has be...

Dynamics of Reticulated Structures: Evidence of Atypical Gyration Modes

TOPOLOGY OPTIMIZATION OF 2D BUILDING FRAMES UNDER ARTIFICIAL EARTHQUAKE GROUND MOTIONS USING POLYGONAL FINITE ELEMENT METHOD

In this article, topology optimization of two-dimensional (2D) building frames subjected to seismic loading is performed using the polygonal finite element method. Artificial ground motion accelerograms compatible with the design response spectrum of ASCE 7-16 are generated for the response history dynamic analysis needed in the optimization. The mean compliance of structure is minimized as a t...