Free vibration analysis of a non-uniform axially functionally graded cantilever beam with a tip body

Nikolić, Aleksandar

doi:10.1007/s00419-017-1243-z

Cited by 19 publications

(2 citation statements)

References 36 publications

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“…To solve the governing differential equation, they transformed the governing equation to a system of linear algebraic equations based on the polynomial expansion and integral technique. Nikolić 12 dealt with the free vibrations of the non-uniform axially FG cantilever beam with a tip body. He used Euler-Bernoulli beam theory in the analysis.…”

Section: Introductionmentioning

confidence: 99%

An approach for predicting longitudinal free vibration of axially functionally graded bar by artificial neural network

Demir

Sayer

Çallıoğlu

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this study, an Artificial Neural Network (ANN) model is designed for the analysis of the longitudinal free vibration of an axially Functional Graded (FG) bar. The material of the bar is varied from one end to the other end according to power law function. Aluminum and Alumina and the mixture of these two materials are used in the analysis. The radius of the bar is also varied along to the longitudinal direction according to power law function. In addition, the effect of the variation in the slenderness ratio is also investigated. An ANN code is written in Matlab in order to obtain a generalized approach for vibration analysis of the FG bar. In the ANN training, some results of free vibration analysis obtained from the SolidWorks program based on Finite Element Method are used. The predicted values that are not used in the training are also obtained in SolidWorks for comparison. A Matlab program code, which based ANN method is used to find new values to be predicted. The process is also made for comparison with the ANN based Matlab nntool program. When the results obtained from SolidWorks and prepared Matlab code and Matlab nntool are compared, it is seen that the results are in harmony. AMS subject classifications: 74H45, 68T07

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Section: Introductionmentioning

confidence: 99%

An approach for predicting longitudinal free vibration of axially functionally graded bar by artificial neural network

Demir

Sayer

Çallıoğlu

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Free vibrations of the non-uniform axially Euler-Bernoulli beam with mass center of the tip body studied by Nikolic [12]. The free vibration analysis of laminated composite shells with cutouts and concentrated mass investigated by Chaubey et al [13].…”

Section: Introductionmentioning

confidence: 99%

Free transverse vibration analysis of laminated composite beams with arbitrary number of concentrated masses

et al. 2021

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In this study, a new closed-form solution for transverse free vibration analysis of laminated composite beams (LCBs) with arbitrary number of concentrated masses is developed. The LCB is modeled based on the Euler-Bernoulli beam theory and concentrated masses are simulated considering Dirac delta function.Obtained governing equations are, then, solved semi-analytically while the frequency equation and mode shapes are extracted for two different boundary conditions, i.e., clamped-free and simply-supported. In order to verify the closed-form solution, the represented model is simplified for a beam without concentrated mass and outcomes are compared with available results in the literature. Finally, the effects of mass as well as location and number of concentrated masses on the free vibration response of the beam are investigated in detail. The results highlight that with increasing the value of point masses, the natural frequencies decrease. Also, it was revealed that the number of point masses influences on the vibration of cantilever beam more than the simply-supported one. These outcomes would practically be used to minimize detrimental effects of vibrational noises, leading to increase of the structural components' lifetime.

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Free vibration analysis of functionally graded beams using complementary functions method

2017

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Free vibration analysis of a non-uniform axially functionally graded cantilever beam with a tip body

Cited by 19 publications

References 36 publications

An approach for predicting longitudinal free vibration of axially functionally graded bar by artificial neural network

An approach for predicting longitudinal free vibration of axially functionally graded bar by artificial neural network

Free transverse vibration analysis of laminated composite beams with arbitrary number of concentrated masses

Free vibration analysis of functionally graded beams using complementary functions method

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