Nonlinear Dynamics of Cross-Flow Tubes Subjected to Initial Axial Load and Distributed Impacting Constraints

Figure 6

Time histories and phase portraits for several particular values of and . (a) Buckling p₀ = 15 and u = 0.5; (b) period-1 motion p₀ = 9 and u = 4; (c) period-3 motion p₀ = −9 and u = 6.8; (d) quasi-periodic motion p₀ = −15 and u = 7.6.

(a)

(b)

(c)

(d)