Properties Tests and Mathematical Modeling of Viscoelastic Damper at Low Temperature With Fractional Order Derivative

Abstract

In the present paper, several dynamic properties tests of the viscoelastic damper at −5 • C are conducted under different frequencies and displacements to investigate the dynamic behavior of the viscoelastic damper at low temperature. The seven-parameter fractional derivative model is modified with the temperature-frequency equivalent principle and utilized to describe the dynamic properties of the viscoelastic damper. The 9050A and ZN22 viscoelastic materials are used to verify the modified seven-parameter fractional derivative model. The experimental and numerical results show that the viscoelastic damper has perfect energy dissipation capacity at low temperature, and the modified seven-parameter fractional derivative model can well capture the dynamic behavior of viscoelastic materials and dampers.

Order‐dependent LMI‐based stability and stabilization conditions for fractional‐order time‐delay systems using small gain theorem

“…This is mainly due to its advantages in providing extremely realistic models of systems and processes with memory and heredity. 1,2 The dynamic behaviors of fractional-order systems have been extensively explored in interdisciplinary areas, including viscoelastic systems, 3,4 electric motors 5,6 and so forth.…”