Absolute stability of the axially moving Kirchhoff string with a sector boundary feedback control

作者：Wu Yuhu^*; Xue Xiaoping; Shen Tielong

来源：Nonlinear Dynamics, 2015, 80(1-2): 9-22.

DOI：10.1007/s11071-014-1847-6

• Axially moving Kirchhoff string
• Absolute stability
• Sector condition
• Boundary control

In this study, the absolute stability problem for the axially moving Kirchhoff string with nonlinear boundary feedback control has been investigated. Based on the generalized Hamilton's variational principle, the nonlinear governing equations of the motion and boundary conditions have been deduced. The proposed boundary control, which satisfies a sector constraint condition, is a negative feedback of the transversal velocity at the right end of the string. Applying the integral-type multiplier method, the absolute stability of the axially moving Kirchhoff system is established. To validate the proposed theoretical results, numerical simulations are expressed by the finite element method.

• 出版日期2015-4
• 单位哈尔滨工业大学