New mathematical modeling for in-plane and out-of-plane free vibration analysis of a laminated composite curved beam with arbitrary layups

Ramazan-Ali Jafari-Talookolaei, Saman Sadripour, Hamidreza Ghandvar, Elyorjon Jumaev and Orifjon Mikhliev

Abstract

This article examines the in-plane and out-of-plane bending vibration analysis of Laminated Composite Curved Beams (LCCB) under various boundary conditions. A new mathematical model is proposed, enabling the calculation of in-plane and out-of-plane bending vibration characteristics for beams with arbitrary layups. To derive the governing equations, Poisson's effect along with the coupling effects between extension, bending, and torsional deformations are incorporated, which play a crucial role in the vibrational characteristics, particularly for angle-ply and general layups. Analytical and finite element solutions are presented to obtain the responses, validated through comparison with results obtained from 3D software ANSYS, showing excellent agreement. Finally, the influence of different parameters on the vibrational characteristics of the LCCB is investigated in detail.

Key Words

analytical solution; arbitrary layups; finite element solution; free vibrations; laminated composite curved beam

Address

Ramazan-Ali Jafari-Talookolaei: School of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran Saman Sadripour: School of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran Hamidreza Ghandvar: Department of Mechanical Engineering, Faculty of Engineering, New Uzbekistan University, Movarounnahr Street 1, Mirzo Ulugbek District, Tashkent, Uzbekistan Elyorjon Jumaev: University of Business and Science, 1 Gavhar Street, Chilanzar District, Tashkent 100185, Uzbekistan Orifjon Mikhliev: FIE UzLITI Engineering LLC, 129B Amir Temur Street, Tashkent 100099, Uzbekistan

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