Buckling of a Higher-Order Beam: Exact and Numerical Results

Tomasiello, Stefania

doi:10.1080/15502280802225283

International Journal for Computational Methods in Engineering

2008

DOI: 10.1080/15502280802225283

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Buckling of a Higher-Order Beam: Exact and Numerical Results

Stefania Tomasiello

Abstract: In this paper, the static problem of the buckling of a higherorder beam is treated. The three usual models, i.e. simply supported, clamped-hinged and clamped-clamped beam, have been considered. The analytical solution has been deduced and compared with a numerical solution obtained by means of a DQ based approach.

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2023

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Differential transformation method for free vibration analysis of an axially loaded overhung rotor

Bensabri¹,

Hamza-Cherif

Mankour³

2023

Int. J. Comp. Mat. Sci. Eng.

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The aim of this work is to analyze the dynamic behavior of axially loaded Timoshenko flexible shafts with cantilevered overhung disk based on the differential transformation analysis. The equations of motion are derived using Hamilton’s principle. The set of the latter consists of four coupled partial differential equations, which can be reduced to a set of two coupled equations by using a complex transformation to further improve the computational effort. An efficient mathematical recursive technique called the differential transformation method (DTM) is then used to solve the differential equations of motion. The natural frequencies of the shaft are obtained, the influence of intrinsic and extrinsic parameters on the natural frequencies is investigated, and the results are compared to those found in the literature. The results reflect the high accuracy and precision of the DTM. The novelty of the work is the application of the DTM to determine the frequency characteristics and the stability of an axially loaded overhung rotor’s free vibration analysis. These results show that the current analysis is accurate and offers an effective approach that is relatively simple and more direct regarding previous modal analyses.

show abstract

Differential transformation method for free vibration analysis of an axially loaded overhung rotor

Bensabri¹,

Hamza-Cherif

Mankour³

2023

Int. J. Comp. Mat. Sci. Eng.

View full text Add to dashboard Cite

show abstract

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Buckling of a Higher-Order Beam: Exact and Numerical Results

Cited by 1 publication

References 8 publications

Differential transformation method for free vibration analysis of an axially loaded overhung rotor

Differential transformation method for free vibration analysis of an axially loaded overhung rotor

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