The nonlinear dynamic analysis of cantilevered pipes conveying fluid with hysteretic supports

Huang Qian;Zang Feng-gang;Zhang Yi-xiong;Cai Feng-chun;Ye Xian-hui

Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (11) : 8-12.

PDF(2528 KB)
PDF(2528 KB)
Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (11) : 8-12.
论文

The nonlinear dynamic analysis of cantilevered pipes conveying fluid with hysteretic supports

  • Huang Qian; Zang Feng-gang; Zhang Yi-xiong; Cai Feng-chun; Ye Xian-hui
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Abstract

By introducing the hysteretic forces acting on the pipe into Hamilton’s principle through the principle of virtual work, the nonlinear equations of motion of cantilevered pipes conveying fluid with hysteretic supports are derived. Galerkin’s discretization method is applied to the motion equations, numerical simulation of dynamic responses are performed based on the platform of MATLAB, First,the reasonableness of the hysteretic model has been proved by comparing the results of its degenerate model and the results by other researchers. Then, numerical simulations of dynamic response of system and parametric researches about structural nondimensional stiffness are conducted. Results show abundant dynamic phenomenon of the system, the variety of nondimensional stiffness can lead to the changes of bifurcation style, bifurcation path, period number and parameter range.

Key words

fluid-induced vibration / hysteretic supports / cantilevered pipes conveying fluid / the structural stability

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Huang Qian;Zang Feng-gang;Zhang Yi-xiong;Cai Feng-chun;Ye Xian-hui. The nonlinear dynamic analysis of cantilevered pipes conveying fluid with hysteretic supports[J]. Journal of Vibration and Shock, 2011, 30(11): 8-12
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