Energy radiation transfer model of composite curved beam

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (23) : 124-132.

YU Haining,CHEN Haibo,HUANG Jin’an

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Abstract

This paper aims to apply the radiative energy transfer method (RETM) to composite curved beam structures to predict the high-frequency energy response of curved beams and obtain the distribution characteristics of energy density of high-frequency vibrations of curved beams under transverse point excitation. Firstly, based on the Classical beam theory (CBT) and the Timoshenko beam theory (TBT), the equilibrium differential equations of the curved beam are derived, and the wave propagation characteristic parameters are obtained. The correctness of the curved beam model is verified by comparing it with the theoretical solution obtained by the wave propagation method (WPA). By comparing the theoretical calculation results of CBT and TBT beams, it is concluded that the influence of moment of inertia and shear stress mainly occurs in the higher-frequency band and the larger beam thickness. The influence of the curvature's radius on the curved beam's high-frequency vibration response is discussed. The influence of the radius of curvature mainly produces variations of the axial force and the bending stiffness of the curved beam, thereby affecting the high-frequency vibration response of the curved beam. Finally, the effects of different volume fractions and distributions of carbon nanotubes (CNTs) on the high-frequency vibration of curved beams of carbon nanotube reinforced composites (CNTRC) are discussed.

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Composite curved beam / Energy radiation transfer method / High-frequency vibration response

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YU Haining,CHEN Haibo,HUANG Jin’an. Energy radiation transfer model of composite curved beam[J]. Journal of Vibration and Shock, 2023, 42(23): 124-132

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