Coefficient of restitution in fractional viscoelastic compliant impacts using fractional Chebyshev collocation

详细信息    查看全文

• 作者：Arman Dabiri ; ^{armandabiri@email.arizona.edu" class="auth_mail" title="E-mail the corresponding author} ; Eric A. Butcher ; Morad Nazari
• 关键词：Impact ; Compliant contact model ; Continuous contact force model ; Fractional order system ; Materials with memory ; Coefficient of restitution ; Kelvin&ndash ; Voigt model ; Maxwell model ; Standard linear solid model ; Fractional Chebyshev collocation method ; Grunwald&ndash ; Letnikov ; Riemann&ndash ; Liouville ; Caputo
• 刊名：Journal of Sound and Vibration
• 出版年：2017
• 出版时间：3 February 2017
• 年：2017
• 卷：388
• 期：Complete
• 页码：230-244
• 全文大小：4567 K

文摘

Compliant impacts can be modeled using linear viscoelastic constitutive models. While such impact models for realistic viscoelastic materials using integer order derivatives of force and displacement usually require a large number of parameters, compliant impact models obtained using fractional calculus, however, can be advantageous since such models use fewer parameters and successfully capture the hereditary property. In this paper, we introduce the fractional Chebyshev collocation (FCC) method as an approximation tool for numerical simulation of several linear fractional viscoelastic compliant impact models in which the overall coefficient of restitution for the impact is studied as a function of the fractional model parameters for the first time. Other relevant impact characteristics such as hysteresis curves, impact force gradient, penetration and separation depths are also studied.