Vibration and stability analysis of a spinning thin-walled composite beam carrying a rigid body

Eken, Seher; Cihan, Melahat; Kaya, Metin O.

doi:10.1007/s00419-020-01790-4

Cited by 2 publications

(2 citation statements)

References 23 publications

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“…Integration of Eqs. (18) results in: The solution of the eigen-mode governing equation (Eq. ( 13)) is given by Eqs.…”

Section: Solution Methodsmentioning

confidence: 99%

“…The free vibration analysis of laminated composite shells with cutouts and concentrated mass investigated by Chaubey et al [13]. In recent years, the wave transmission using prismatic beams with concentrated gradient masses [14], bending vibration generated by tapping cross section with additional mass [15], twist of composite blade with moving mass [16], transverse vibrations of nanobeam with a single point mass [17] and dynamic stability of spinning thin-walled composite beams carrying rigid bodies [18] are presented.…”

Section: Introductionmentioning

confidence: 99%

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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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“…Integration of Eqs. (18) results in: The solution of the eigen-mode governing equation (Eq. ( 13)) is given by Eqs.…”

Section: Solution Methodsmentioning

confidence: 99%

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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Stability of delaminated composite beams subjected to retarded periodic follower force

Szekrényes

2023

Arch Appl Mech

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This work deals with the stability problem of elastic composite cantilever beams subjected to a delayed, periodically changing follower force. The equation of motion of the periodic system with time delay is deduced based on some previous works. Composite beams with and without delamination are considered, and the finite element method is applied to carry out the spatial discretization of the structures. Besides, for the delaminated case further two cases are involved. The first case is when the delamination is in the midplane of the beam, while the second case involves an asymmetrically placed delamination, respectively. The Floquet theory is applied to derive the transition matrix of the periodic system. An important aspect is that the time delay and the principal period of the dynamic force are equal to each other. The discretization over the time domain is performed by using the Chebyshev polynomials of the first kind. Basically, there are five parameters governing the dynamic problem including among others the time delay and the static and dynamic forces. The stability behavior is shown for the intact and delaminated beams on the parameter planes for large number of cases by using the unit circle criteria. The presence and absence of structural damping is also analyzed in each case. The results indicate that some planes are sensitive to the mesh resolution, others are not. Moreover, on some planes significant differences may take place between the intact and delaminated beams from the standpoint of stable zones.

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Vibration and stability analysis of a spinning thin-walled composite beam carrying a rigid body

Cited by 2 publications

References 23 publications

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

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

Stability of delaminated composite beams subjected to retarded periodic follower force

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