caa a22 4500 469081457 CHVBK 20180323132951.0 cr unu---uuuuu 170328e19920301xx s 000 0 eng 10.1007/BF01170806 doi (NATIONALLICENCE)springer-10.1007/BF01170806 Wave propagation in fluid filled nonlinear viscoelastic tubes [Elektronische Daten] [H. Erbay, S. Erbay, S. Dost] Summary: The present work considers one dimensional wave propagation in an infinitely long, straight and homogeneous nonlinear viscoelastic tube filled with an incompressible, inviscid fluid. In order to include the geometric dispersion in the analysis, the tube wall inertia effects are added to the pressure-area relation. Using the reductive perturbation technique, the propagation of weakly nonlinear waves in the long-wave approximation is examined. In the long-wave approximation, a general equation is obtained, and it is shown that by a proper scaling this equation reduces to the well-known nonlinear evolution equations. Intensifying the effect of nonlinearity in the perturbation process, the modified forms of these evolution equations are also obtained. In the absence of nonlinear viscoelastic effects all the equations reduce to those of the linear viscoelastic tube. Springer-Verlag, 1992 Erbay H. Department of Mechanical Engineering, The University of Victoria, V8W 2Y2, Victoria, British Columbia, Canada aut Erbay S. Department of Mechanical Engineering, The University of Victoria, V8W 2Y2, Victoria, British Columbia, Canada aut Dost S. Department of Mechanical Engineering, The University of Victoria, V8W 2Y2, Victoria, British Columbia, Canada aut Acta Mechanica Springer-Verlag 95/1-4(1992-03-01), 87-102 0001-5970 95:1-4<87 1992 95 707 https://doi.org/10.1007/BF01170806 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01170806 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Erbay H. Department of Mechanical Engineering, The University of Victoria, V8W 2Y2, Victoria, British Columbia, Canada aut NATIONALLICENCE 700 1- Erbay S. Department of Mechanical Engineering, The University of Victoria, V8W 2Y2, Victoria, British Columbia, Canada aut NATIONALLICENCE 700 1- Dost S. Department of Mechanical Engineering, The University of Victoria, V8W 2Y2, Victoria, British Columbia, Canada aut NATIONALLICENCE 773 0- Acta Mechanica Springer-Verlag 95/1-4(1992-03-01), 87-102 0001-5970 95:1-4<87 1992 95 707 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer