Kelvin–Voigt versus Bürgers internal damping in modeling of axially moving viscoelastic web

By K. Marynowski, Tomasz Kapitaniak. 2002

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Stability of axially accelerating viscoelastic beams: multi-scale analysis with numerical confirmations (2008, methodology): “Actually, the material time derivative was also employed in the Kelvin model of axially moving materials by Marynowski and Kapitaniak (2002), Marynowski (2004), Yang and Chen (2005) and Marynowski (2006), as well as in the threeparameter viscoelastic model by Marynowski and Kapitaniak (2007).”
Stability of axially accelerating viscoelastic beams: asymptotic perturbation analysis and differential quadrature validation (2009, methodology): “Pakdemirli and Öz (2008) employed the method of multiple scales to analyze the stability in the resonances involved up to four modes.”
Steady-state response of axially moving viscoelastic beams with pulsating speed: comparison of two nonlinear models (2005, methodology): “The application of the partial-differential equation is limited (Marynowski, 2002, 2004; Marynowski and Kapitaniak, 2002; Yang and Chen, 2005), while the quasi-static stretch assumption is widely adopted in parametric vibration (Ravindra and Zhu, 1998; Chakraborty and Mallik, 1998; Öz et al.,…”
Dynamic analysis for axially moving viscoelastic panels (2012, methodology): “Marynowski and Kapitaniak (2002) compared the Kelvin–Voigt and the Bürgers models in modelling of moving viscoelastic webs.”