Vibration Analysis of Timoshenko Beams using Isogeometric Analysis

by   Balakrishnan Devarajan, et al.

In this paper, the finite free-form beam element is formulated by the isogeometric approach based on the Timoshenko beam theory to investigate the free vibration behavior of the beams. The non-uniform rational B-splines (NURBS) functions which define the geometry of the beam are used as the basis functions for the finite element analysis. In order to enrich the basis functions and to increase the accuracy of the solution fields, the h-, p-, and k-refinement techniques are implemented. The geometry and curvature of the beams are modelled in a unique way based on NURBS. All the effects of the the shear deformation, and the rotary inertia are taken into consideration by the present isogeometric model. Results of the beams for non-dimensional frequencies are compared with other available results in order to show the accuracy and efficiency of the present isogeometric approach. From numerical results, the present element can produce very accurate values of natural frequencies and the mode shapes due to exact definition of the geometry. With higher order basis functions, there is no shear locking phenomenon in very thin beam situations. Finally, the benchmark tests described in this study are provided as future reference solutions for Timoshenko beam vibration problem.


page 1

page 2

page 3

page 4


On the finite element analysis of functionally graded sandwich curved beams via a new refined higher shear deformation theory

In the present paper, a new parabolic shear deformation beam theory is d...

The natural frequencies of masonry beams

The present paper aims at analytically evaluating the natural frequencie...

A fibre Smart Displacement Based (FSDB) beam element for the nonlinear analysis of R/C members

Beam finite elements for non linear plastic analysis of beam-like struct...

Finite Element Modeling of Pneumatic Bending Actuators for Inflated-Beam Robots

Inflated-beam soft robots, such as tip-everting vine robots, can control...

A model updating procedure to enhance structural analysis in the FE code NOSA-ITACA

This paper describes the model updating procedure implemented in NOSA-IT...

A Numerical Analysis of a Micro-scale Piezoelectric Cantilever Beam: the Effect of Dimension Parameters on the Eigen Frequency

Eigen frequency is one of the most important system responses to be cons...

New Results for the Pointing Errors Model in Two Asymptotic Cases

Several precise and computationally efficient results for pointing error...

Please sign up or login with your details

Forgot password? Click here to reset