Flapwise bending vibration analysis of rotating multi-layered composite beams

In this paper, free vibration analysis of cross-ply layered composite beams (LCB) with finite length and rectangular cross-section rested on an elastic foundation is investigated by finite element method. Based on the Timoshenko beam theory which includes the shear deformation and rotary inertia, the stiffness and mass matrices of a LCB are obtained using the energy method. Then, the natural frequencies are calculated by employing eigenvalue technique. The obtained results are verified against existing data in the literatures for a LCB with no foundation and uniform cross-section. Good agreements are observed between these cases. In the same way, the natural frequencies of a specific case, i.e. the stepped beam are calculated and finally, free vibrations of a symmetric and non-symmetric LCB are compared with each others.

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Use of trigonometric series functions in free vibration analysis of laminated composite beams

Challenge Journal of Structural Mechanics ◽

10.20528/cjsmec.2020.02.002 ◽

2020 ◽

Vol 6 (2) ◽

pp. 61

Author(s):

Muhittin Turan ◽

Volkan Kahya

Keyword(s):

Free Vibration ◽

Trigonometric Series ◽

Vibration Analysis ◽

Natural Frequencies ◽

Laminated Composite ◽

Free Vibration Analysis ◽

Beam Theory ◽

Composite Beams ◽

Layered Composite ◽

End Conditions

In this study, free vibration analysis of layered composite beams is performed by using an analytical method based on trigonometric series. Based on the first-order shear deformation beam theory, the governing equations are derived from the Lagrange’s equations. Appropriate trigonometric series functions are selected to satisfy the end conditions of the beam. Navier-type solution is used to obtain natural frequencies. Natural frequencies are calculated for different end conditions and lamina stacking. It was seen that the slenderness, E11/E22 and fiber angle have a significant effect on natural frequency. The results of the study are quite compatible with the literature.

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Flapwise Bending Vibration Analysis of a Double Tapered Rotating Nonlocal Euler-BernoullI Beam by the Differential Transform Method

Прикладная механика и техническая физика ◽

10.15372/pmtf20190522 ◽

2019 ◽

Keyword(s):

Vibration Analysis ◽

Differential Transform Method ◽

Bernoulli Beam ◽

Bending Vibration ◽

Transform Method ◽

Differential Transform ◽

Euler Bernoulli Beam

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Forced vibration analysis of composite beams with piezoelectric layers based on the variable separation method

Composite Structures ◽

10.1016/j.compstruct.2021.114248 ◽

2021 ◽

pp. 114248

Author(s):

María Infantes ◽

Philippe Vidal ◽

Rafael Castro-Triguero ◽

Laurent Gallimard ◽

Olivier Polit

Keyword(s):

Forced Vibration ◽

Vibration Analysis ◽

Composite Beams ◽

Separation Method ◽

Variable Separation ◽

Piezoelectric Layers ◽

Forced Vibration Analysis ◽

Variable Separation Method

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Free Vibration Analysis for Tapered Cross-Section Steel-Concrete Composite Material Beam

Materials Science Forum ◽

10.4028/www.scientific.net/msf.893.380 ◽

2017 ◽

Vol 893 ◽

pp. 380-383

Author(s):

Jun Xia ◽

Z. Shen ◽

Kun Liu

Keyword(s):

Finite Element ◽

Composite Material ◽

Cross Section ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Element Model ◽

Composite Beams ◽

Shear Connection ◽

The Common ◽

Interlayer Slip

The tapered cross-section beams made of steel-concrete composite material are widely used in engineering constructions and their dynamic behavior is strongly influenced by the type of shear connection jointing the two different materials. The 1D high order finite element model for tapered cross-section steel-concrete composite material beam with interlayer slip was established in this paper. The Numerical results for vibration nature frequencies of the composite beams with two typical boundary conditions were compared with ANSYS using 2D plane stress element. The 1D element is more efficient and economical for the common tapered cross-section steel-concrete composite material beams in engineering.

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