On Travelling Wave Modes of Axially Moving String and Beam

Figure 5

First four-order modes of an axially moving beam with different transport speeds and tensions. Every single curve plotted by the colored levels from shallow to deep denotes the modal motion in different time. The red arrows are the wave direction. Plots of (a), (b), (d), and (e) belong to the case in the stable region I and (c) and (f) belong to the case in the stable region II. (a) μ = 20,  = 5, (b) μ = 20,  = 10, (c) μ = 20,  = 21.2, (d) μ = 10,  = 5, (e) μ = 10,  = 10, and (f) μ = 10,  = 12.

(a)

(b)

(c)

(d)

(e)

(f)