Analytical model of high-frequency energy flow response for a beam with free layer damping

TENG Xiaoyan; FENG Guobao; JIANG Xudong; ZHAO Hetao

doi:10.7527/S1000-6893.2018.22616

ACTA AERONAUTICAET ASTRONAUTICA SINICA >

2019 , Vol. 40 >Issue 4: 222616 - 222616

DOI: https://doi.org/10.7527/S1000-6893.2018.22616

Solid Mechanics and Vehicle Conceptual Design

Analytical model of high-frequency energy flow response for a beam with free layer damping

TENG Xiaoyan ,
FENG Guobao ,
JIANG Xudong ,
ZHAO Hetao

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1. Mechanical and Electrical Engineering College, Harbin University of Engineering, Harbin 150001, China;
2. Mechanical Power and Engineering College, Harbin University of Science and Technology, Harbin 150080, China

Received date: 2018-08-20

Revised date: 2018-11-12

Online published: 2019-04-19

Supported by

National Natural Science Foundation of China (51505096); Natural Science Foundation of Heilongjiang Province (QC2016056)

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Abstract

An analytical energy flow model based on wave theory is proposed to predict the vibration of large damping composite structures such as a beam with free layer damping in the high-frequency range. Using the equivalent complex stiffness model, both equivalent flexural stiffness and structural loss factor of a beam with free layer damping are obtained. Then the corresponding energy density equation is derived for a beam with full free layer damping by energy flow analysis. By analyzing the energy transfer char-acteristic at the interface of damping treatment, an analytical model for the energy flow response of a beam with partial free layer damping is developed to predict the vibrating characteristics of the coupled large damping structure. Various numerical analyses show that the energy density obtained by the proposed model is in a good agreement with that by the classic wave model with time-and space-average treatment. Consequently, the present model can be employed to accurately predict the structural energy flow response to high-frequency excitation for large damping composite structures such as a beam with free layer damping.

Key words： beam with free layer damping; energy flow analysis; equivalent complex stiffness model; energy density; high-frequency vibration

Cite this article

TENG Xiaoyan , FENG Guobao , JIANG Xudong , ZHAO Hetao . Analytical model of high-frequency energy flow response for a beam with free layer damping[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019 , 40(4) : 222616 -222616 . DOI: 10.7527/S1000-6893.2018.22616

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