Dynamic Analysis of a Micro-Cantilever Subjected to Harmonic Base Excitation via RVIM

Ali Reza Daneshmehr; Majid Akbarzadeh Khorshidi; Delara Soltani

doi:10.4028/www.scientific.net/AMM.332.545

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 332Dynamic Analysis of a Micro-Cantilever Subjected...

Dynamic Analysis of a Micro-Cantilever Subjected to Harmonic Base Excitation via RVIM

Abstract:

In this paper, dynamic analysis of a cantilever beam with micro-scale dimensions is presented. The micro-cantilever is subjected to harmonic base excitation and constant force at micro-cantilever tip. By Euler-Bernoulli beam theory assumptions, the mathematical formulation of vibrating micro-cantilever beam is derived using extended Hamilton principle. The governing partial-diffrential equation is solved by reconstruction of variational iteration method (RVIM), with possession of its boundary conditions. The RVIM is an approximate method of solving that answers easy and quick and has high accuracy.

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Periodical:

Applied Mechanics and Materials (Volume 332)

Pages:

545-550

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.332.545

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Online since:

July 2013

Authors:

Ali Reza Daneshmehr, Majid Akbarzadeh Khorshidi, Delara Soltani

Keywords:

Dynamic Analysis, Harmonic Excitation, Micro-Cantilever Beam, Reconstruction of Variational Iteration Method

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