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Journal of Applied Mechanics and Technical Physics

2017 year, number 6

Effects of End Conditions of Cross-Ply Laminated Composite Beams on Their Dimensionless Natural Frequencies

A. F. A. Algarray1, H. Jun1, I.-E. M. Mahdi2
1Mechanical design Theory and Electrical Engineering, NEFU-Harbin-China
2Mechanical Engineering Nile Valley University, Atbara-Sudan
Keywords: слоистая балка, свободные колебания, метод конечных элементов, способы закрепления торцов балки, laminated beam, free vibration, finite element method, beam end conditions


The effects of the end conditions of cross-ply laminated composite beams on their dimensionless natural frequencies of free vibration is investigated. The problem is analyzed and solved by using the energy approach, which is formulated by a finite element model. Various end conditions of beams are used. Each beam has either movable ends or immovable ends. Numerical results are verified by comparisons with other relevant works. It is found that more constrained beams have higher values of natural frequencies of transverse vibration. The values of the natural frequencies of longitudinal modes are found to be the same for all beams with movable ends because they are generated by longitudinal movements only.