Fractional model of viscoelastic oscillator and application to a crawler tractor

Abstract

Viscoelastic oscillator (VEO) is the basic model extracted from viscoelastic damping structures. To precisely understand the dynamic behavior of VEO, generalized modeling of fractional viscoelastic oscillator (FVEO) is proposed and its frequency response is deduced. For demonstrating purpose, frequency response of three FVEOs is studied. As an engineering application case, the viscoelastic suspension mounted in a heavy crawler-type vehicle is considered and its vibration model is built by FVEO, whose time-domain solution is numerically derived by matrix differential theory. The results indicate that FVEO is a valid approach to evaluate the dynamic response of viscoelastic damping structures.

Temperature and Frequency Dependence of the Dynamic Viscoelastic Properties of Silicone Rubber

“…Tang et al [ 24 ] proposed a five-parameter fractional derivative rubber vibration isolator constitution model, extrapolated to the frequency domain, and identified the parameters. Li et al [ 25 ] established a fractional-order viscoelastic oscillator model considering shape parameters and applied it to the dynamic analysis of viscoelastic suspensions for tracked vehicles. Wharmby et al [ 26 ] established a modified Maxwell instanton equation for viscoelastic materials based on fractional-order derivatives and obtained its frequency response function by pull-type transformation.…”

Viscoelastic Fractional Model Based on Harmonic Excitation

“…When calculating the complex modulus of fractionalorder linear model, the frequency domain transformation method of integer-order linear model is usually used. However, after the frequency domain transformation of the fractional-order model, the fractional power of the imaginary number unit appeared on the denominator, wherein separating the real and imaginary parts is cumbersome [11,[20][21][22][23]. In the aspect of parameter identification, the identification method is not as mature as the identification method of integer-order system parameters because the unknown parameters contain derivative orders.…”

Malicious attacks on the web and crawling of information data by Python technology

“…Due to the huge amount of data, it is impossible to meet the retrieval demand by using human retrieval only. Generally, big data on the network are collected by crawler programs 2 . In performing various network services, Internet user nodes inevitably need to generate data interaction with other nodes, which means that each user node needs to have at least one connection port always open, especially the servers of some large enterprises 3 .…”