Layout Optimization of Unconstrained Viscoelastic Layer on Beams Using Fractional Derivative Model

摘要

The amount of damping is the most important parameter in reducing the magnitude of response near resonance frequencies. In most cases, viscoelastic materials that have a high loss factor are added to structures in order to increase damping when resonance is inevitable. The dynamic properties of viscoelastic materials, such as the complex modulus and the loss factor, are highly nonlinear in terms of frequency and temperature. Many researchers have tried to optimize damping treatment configurations. A few researchers have considered the nonlinearity of frequency, but these studies were not realistic, or a tabular form. In this research, the optimal configuration of unconstrained viscoelastic damping layer beams is obtained. The nonlinearity of viscoelastic materials is included in the optimization process using the four-parameter fractional derivative model in-a finite beam element.