A radiative energy transfer model for a high-frequency vibrating beam under axial force
WANG Shuo,HUANG Jin’an,DAI Chenghao,CHEN Haibo
CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China
Abstract:In order to investigate the influence of axial force on the high frequency vibration of beam, the energy radiation transfer model of beam under axial force is established. For the Euler-Bernoulli beam with constant axial force, the wave number and group velocity affected by the axial force are introduced, the governing equation of energy density is established, and the kernel functions of energy density and energy intensity of the beam under axial force are derived. The real source strength is expressed by the input power calculated by the admittance method, and the virtual source strengths are determined by the energy balance equations at the boundaries. According to Huygens principle, the energy response of beam is obtained by the linear superposition of the direct field generated by the real source and the reflected field generated by the virtual sources. Finally, by comparing the results obtained by the energy radiation transfer method (RETM) with the analytical solution calculated by the wave propagation method, the applicability of the input admittance of infinite structure under the action of axial force is analyzed, the accuracy of the proposed RETM is verified, and the influence of axial force on the energy response of beam is also analyzed.
王硕,黄进安,代成浩,陈海波. 含轴力高频振动梁的能量辐射传递模型[J]. 振动与冲击, 2023, 42(8): 134-141.
WANG Shuo,HUANG Jin’an,DAI Chenghao,CHEN Haibo. A radiative energy transfer model for a high-frequency vibrating beam under axial force. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(8): 134-141.
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