Nonlinear Responses of a Fluid-Conveying Pipe Embedded in Nonlinear Elastic Foundations

被引：0
作者：
Qin Qian
Lin Wang
Qiao Ni
机构：
[1] Huazhong University of Science and Technology,Department of Mechanics
来源：
Acta Mechanica Solida Sinica | 2008年 / 21卷
关键词：
fluid-conveying pipe; nonlinear elastic foundation; chaotic motion; bifurcation; differential quadrature method discretization (DQMD);
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The nonlinear responses of planar motions of a fluid-conveying pipe embedded in nonlinear elastic foundations are investigated via the differential quadrature method discretization (DQMD) of the governing partial differential equation. For the analytical model, the effect of the nonlinear elastic foundation is modeled by a nonlinear restraining force. By using an iterative algorithm, a set of ordinary differential dynamical equations derived from the equation of motion of the system are solved numerically and then the bifurcations are analyzed. The numerical results, in which the existence of chaos is demonstrated, are presented in the form of phase portraits of the oscillations. The intermittency transition to chaos has been found to arise.
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页码：170 / 176
页数：6
相关论文
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