Extensional vibrations are analyzed in the linear theory of an elastic rod of finite length which accounts for lateral deformation. A simplified version of a theory of elastic rods is used; it is based on the concept of a directed curve as developed by Green et al. [1–3]. This simplified version is similar to Mindlin and Herrmann’s theory [4], and has been used recently by Krishnaswamy and Batr...

In this paper, vibration analysis of multiple-stepped Bernoulli-Euler and Timoshenko beams carrying point masses is presented analytically for various boundary conditions. Each attached element is considered to have both translational and rotational inertias. The method of solution is “transfer matrix method” which is based on the changes in the vibration modes at the vicinity of any discontinu...

The structural analysis of an infinite unsymmetric laminated composite Timoshenko beam over Pasternak viscoelastic foundation under moving load is studied. The beam is subjected to a travelling concentrated load. Closed form steady state solutions, based on the first-order shear deformation theory (FSDT) are developed. In this analysis, the effect of bend-twist coupling is also evaluated. Selec...

Abstract Expressions for the energy release rate and compliance are defined some asymmetric beam like specimens. The expressions derived taking into account Timoshenko theory with elastic foundation. is expressed by applied loads or a combination of rotation angles, latter allows to characterize bonded interfaces without foundation properties. condition stability under displacement controlled t...

During the past few decades, a significant amount of research has been conducted in the area of non-destructive damage evaluation (NDE) based on changes in dynamic properties of a structure. System Identification and damage detection plays a crucial role in structural dynamics and vibro-acoustic system optimization. The later approach is based on the ‘Modal Analysis” The dynamic behaviors of th...

In this research, analysis of nonlocal magneto-electro-thermo-elastic of a functionally graded nanobeamdue to magneto-electro-elastic loads has been done. In order to formulate the problem the Timoshenko theory of beams is utilized. The principle of virtual work, Hamilton’s principle as well as nonlocal magneto-electro-thermo-elastic relations has been recruited to derive the governing eq...

Carbon nanotubes with their outstanding mechanical, physical and electrical properties have stimulated a significant amount of scientific technological research due to uniqueness compared conventional materials. As result, an extensive study on mechanical has been conducted, the static dynamic behavior single- walled multi-walled carbon examined using Euler-Bernoulli Timoshenko beam models. The...