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Thermomechanical Fractional Derivative Model of Viscoelastic Isolators

By Zhenli Zhanga, Chao Shangb and Weihua Shic


Abstract. In vibration process, viscoelastic isolators ’ temperature will rise due to energy dissipation, especially when the isolators have high damping characteristics. First, for the arbitrary loadings, the thermomechanical coupling model and the corresponding difference form are established based on the five-parameter fractional derivative model. Then, for the steady-state harmonic inputs, which is very common in engineering application, the derived model is significantly simplified by Fourier transformation. Finally, the proposed model is verified by experiments and shows a reasonable agreement with measured data

Topics: thermomechanical, fractional derivative, viscoelastic
Year: 2016
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