Journal
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
Volume 88, Issue 4, Pages -Publisher
ASME
DOI: 10.1115/1.4049423
Keywords
postbuckled structures; free vibration; thin film; viscoelasticity; dynamics; turbulence; structures; vibration
Categories
Funding
- National Key Research and Development Program of China [2020YFC2007101]
- National Natural Science Foundation of China [11772030, 61933002, 11972325]
- Aeronautical Science Foundation of the PR China [2018ZC51030]
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This article develops an analytical model for the linear free vibrations of a buckled thin film attached to a flexible substrate, and finds that the stiffness and damping of the substrate have negative effects on the natural frequencies of the system.
Stretchable electronic systems based on controllable compressive buckling can be further endowed with superior compliance and stretchability. However, such systems are usually restrained by the interference from different loads in practical applications, so it is desirable to study their dynamic behaviors. In this article, an analytical model is developed on the linear free vibrations of a buckled thin film attached to a flexible substrate, whose results can be verified by the finite element analysis (FEA). In the model, the film is considered as an Euler-Bernoulli beam, and the substrate is assumed as a Pasternak foundation with Kelvin viscoelasticity. The natural frequencies and their corresponding vibration modes of the buckled film with the substrate are obtained. The results indicate that the increases of stiffness and damping of the substrate have negative effects on the natural frequencies. The damping influences the low-order modes a lot but not the high-order modes. This study may provide some suggestions for the dynamic design of buckled thin films on flexible substrates. For example, the controllable vibration attenuation can be achieved by choosing the substrate with appropriate viscoelasticity.
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