Free Vibration Analysis of Axially Moving Viscoelastic Plate

• Autorzy: Marynowski K.
• Języki publikacji: EN

Abstrakty

EN

Extended abstract Axially moving plates one can meet in industry as power transmission belts, band saw blades, paper webs during manufacturing and printing processes and also as flat objects moving with high speeds in outer space. Transport speed in some instances may cause excessive vibrations, wrinkling and even breaking in the case of moving webs. Exact dynamic analysis of these systems is very important to answer the question how to avoid these problems. The important problem one can meet in considering dynamic behaviour of axially moving two-dimensional system is how to model the plate material. In many instances the simplest elastic model is not sufficient and moving continua must be considered as viscoelastic. It makes dynamic analysis much more complicated. In the case of viscoelastic material the state of strain in an element at a particular time not only depends on the state of stress at this time, but also on the history of stresses. Similarly the state of stress of an element depends on the history of strains. This memory effect should be taken into account in dynamic investigations. Full text of the paper has been submitted to European Journal of Mechatroncs A/Solids in August' 2009.

Słowa kluczowe

EN

moving plate; moving beam; dynamic stability

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Problems
• Rocznik: 2009
• Tom: Vol. 33, No. 1
• Strony: 101--103
• Opis fizyczny: Bibliogr., 9 poz., wykr.

Twórcy

autor

Marynowski K.

• Technical University of Łódź. Department of Machines Dynamics, Poland,

Bibliografia

• Chen, L.-Q., Yang, X.-D., Cheng C.-J., 2004, Dynamic stability of an axially moving viscoelastic beam, European Journal of Mechanics A/Solids 23, 659-666.
• Fung, R.-F., Huang, J.-S., Chen, Y.-C., 1997, The transient amplitude of the viscoelastic traveling string: an integral constitutive law, Journal of Sound and Vibration, 201 (2), 153-167.
• Hatami, S., Azhari, M., Saadatpour, M.M., 2007, Free vibration of moving laminated composite plates, Composite Structures, 80, 609-620.
• Hatami, S., Ronagh, H.R., Azhari, M., 2008, Exact free vibration analysis of axially moving viscoelastic plates, Composite Structures, 86, 1738-1746.
• Marynowski, K., 2006, Two-dimensional rheological element in modeling of axially moving viscoelastic web, European Journal of Mechanics A/Solids 25, 729-744.
• Marynowski, K., Kapitaniak, T., 2007, Zener internal damping in modeling of axially moving viscoelastic beam with time-dependent tension, International Journal of Non-Linear Mechanics, 42 (1), 118-131.
• Marynowski, K., 2008, Dynamics of the axially moving orthotropic web, Springer-Verlag.
• Sobotka, Z., 1989, Theory of plasticity and limit design of plates, Elsevier.
• Yang, X.-D., Chen, L.-Q., 2005, Bifurcation and chaos of an axially accelerating viscoelastic beam, Chaos, Solitions and Fractals, (1), 249-258.