Periodic solution for vibration of eulerbernoulli beams subjected to axial load using dtm and ha

Saeed Karimian; Mohammadreza Azimi

Periodic solution for vibration of eulerbernoulli beams subjected to axial load using dtm and ha

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

This paper is concerned with analytical approximate solutions, to the nonlinear vibration of Euler-Bernoulli beams subjected to the axial loads. Hamiltonian Approach (HA) and Differential Transformation Method (DTM) are applied to solve the nonlinear differential equation cause in current problem and consequently the relationship between the natural frequency and the initial amplitude is obtained in an analytical form. To verify the accuracy of the present approach, illustrative examples are provided and compared with Exact Solution. The procedure yields rapid convergence with respect to the exact integral solution.

Original language	English
Pages (from-to)	69-76
Number of pages	8
Journal	UPB Scientific Bulletin, Series D: Mechanical Engineering
Volume	76
Issue number	2
Publication status	Published - 2014
Externally published	Yes

Keywords*

Differential Transformation Method
Euler-Bernoulli beam
Hamiltonian Approach
Nonlinear oscillation

Field of Science*

2.3 Mechanical engineering

Publication Type*

1.1. Scientific article indexed in Web of Science and/or Scopus database

Cite this

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title = "Periodic solution for vibration of eulerbernoulli beams subjected to axial load using dtm and ha",

abstract = "This paper is concerned with analytical approximate solutions, to the nonlinear vibration of Euler-Bernoulli beams subjected to the axial loads. Hamiltonian Approach (HA) and Differential Transformation Method (DTM) are applied to solve the nonlinear differential equation cause in current problem and consequently the relationship between the natural frequency and the initial amplitude is obtained in an analytical form. To verify the accuracy of the present approach, illustrative examples are provided and compared with Exact Solution. The procedure yields rapid convergence with respect to the exact integral solution.",

keywords = "Differential Transformation Method, Euler-Bernoulli beam, Hamiltonian Approach, Nonlinear oscillation",

author = "Saeed Karimian and Mohammadreza Azimi",

year = "2014",

language = "English",

volume = "76",

pages = "69--76",

journal = "UPB Scientific Bulletin, Series D: Mechanical Engineering",

issn = "1454-2358",

publisher = "Politechnica University of Bucharest",

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T1 - Periodic solution for vibration of eulerbernoulli beams subjected to axial load using dtm and ha

AU - Karimian, Saeed

AU - Azimi, Mohammadreza

PY - 2014

Y1 - 2014

N2 - This paper is concerned with analytical approximate solutions, to the nonlinear vibration of Euler-Bernoulli beams subjected to the axial loads. Hamiltonian Approach (HA) and Differential Transformation Method (DTM) are applied to solve the nonlinear differential equation cause in current problem and consequently the relationship between the natural frequency and the initial amplitude is obtained in an analytical form. To verify the accuracy of the present approach, illustrative examples are provided and compared with Exact Solution. The procedure yields rapid convergence with respect to the exact integral solution.

AB - This paper is concerned with analytical approximate solutions, to the nonlinear vibration of Euler-Bernoulli beams subjected to the axial loads. Hamiltonian Approach (HA) and Differential Transformation Method (DTM) are applied to solve the nonlinear differential equation cause in current problem and consequently the relationship between the natural frequency and the initial amplitude is obtained in an analytical form. To verify the accuracy of the present approach, illustrative examples are provided and compared with Exact Solution. The procedure yields rapid convergence with respect to the exact integral solution.

KW - Differential Transformation Method

KW - Euler-Bernoulli beam

KW - Hamiltonian Approach

KW - Nonlinear oscillation

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M3 - Article

AN - SCOPUS:84901499587

SN - 1454-2358

VL - 76

SP - 69

EP - 76

JO - UPB Scientific Bulletin, Series D: Mechanical Engineering

JF - UPB Scientific Bulletin, Series D: Mechanical Engineering

IS - 2

ER -

Periodic solution for vibration of eulerbernoulli beams subjected to axial load using dtm and ha

Abstract

Keywords*

Field of Science*

Publication Type*

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