vibration analysis of a rotating closed section composite timoshenko beam by using differential transform method

Authors

saeed talebi

department of mechanical engineering, university of isfahan hamed uosofvand

department of mechanical engineering, university of kashan, kashan, iran alireza ariaei

department of mechanical engineering, faculty of engineering, university of isfahan, isfahan, iran

abstract

this study introduces the differential transform method (dtm) to analyse the free vibration response of a rotating, closed section, composite, timoshenko beam which features material coupling between flapwise bending and torsional vibrations due to ply orientation. the governing differential equations of motion are derived using hamilton’s principle and solved by applying dtm. the natural frequencies are calculated and the effects of the bending-torsion coupling, the slenderness ratio and several other parameters on the natural frequencies are investigated using the computer package, mathematica. wherever possible, comparisons are made with the studies in open literature.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Vibration analysis of a rotating closed section composite Timoshenko beam by using differential transform method

This study introduces the Differential Transform Method (DTM) in the analysis of the free vibration response of a rotating closed section composite, Timoshenko beam, which features material coupling between flapwise bending and torsional vibrations due to ply orientation. The governing differential equations of motion are derived using Hamilton’s principle and solved by applying DTM. The natura...

full text

Free vibration analysis of a rotating Timoshenko beam by differential transform method

Purpose – To perform the flapwise bending vibration analysis of a rotating cantilever Timoshenko beam. Design/methodology/approach – Kinetic and potential energy expressions are derived step by step. Hamiltonian approach is used to obtain the governing equations of motion. Differential transform method (DTM) is applied to solve these equations. Findings – It is observed that the rIVu term which...

full text

Analysis of Complex Composite Beam by Using Timoshenko Beam Theory & Finite Element Method

Fiber-reinforced composites, due to their high specific strength, and stiffness, which can be tailored depending on the design requirement, are fast replacing the traditional metallic structures in the weight sensitive aerospace and aircraft industries. An analysis Timoshenko beam theory for complex composite beams is presented. Composite materials have considerable potential for wide use in ai...

full text

vibration analysis of an initially pre-stressed rotating carbon nanotube employing differential transform method

abstract: in this paper, nonlocal euler–bernoulli beam theory is employed for transverse vibration analysis of an initially pre-stressed size-dependent rotating nanotube. the nonlocal eringen theory takes into account the effect of small size, which enables the present model to become effective in the analysis and design of nanosensors and nanoactuators. governing equations are derived through ...

full text

Vibration of Timoshenko Beam-Soil Foundation Interaction by Using the Spectral Element Method

This article presents an analysis of free vibration of elastically supported Timoshenko beams by using the spectral element method. The governing partial differential equation is elaborated to formulate the spectral stiffness matrix. Effectively, the non classical end boundary conditions of the beam are the primordial task to calibrate the phenomenon of the Timoshenko beam-soil foundation inter...

full text

Variational Iteration Method for Free Vibration Analysis of a Timoshenko Beam under Various Boundary Conditions

In this paper, a relatively new method, namely variational iteration method (VIM), is developed for free vibration analysis of a Timoshenko beam with different boundary conditions. In the VIM, an appropriate Lagrange multiplier is first chosen according to order of the governing differential equation of the boundary value problem, and then an iteration process is used till the desired accuracy ...

full text

My Resources

Save resource for easier access later


Journal title:
journal of applied and computational mechanics

جلد ۱، شماره ۴، صفحات ۱۸۱-۱۸۶

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023