Riesz Basis Generation of a Beam Equation with Generalized Viscous Damping

摘要：

In this paper, the Riesz basis analysis for a Euler Bernoulli beam equation with generalized viscous damping is conducted. By using Guos conclusion that the Riesz basis prop erty holds for the general system if its associated characteristic equation is strongly regular, it is shown that the Riesz basis property can be established for a beam equation with generalized viscous damping. Furthermore, we get the conclusions that the system operator A generates a C0-semigroup eAt on state space and the spectrum-determined growth condition holds: s(A)= ω(A).

关键词： Euler-Bernoulli beam Riesz basis spectrumdetermined growth condition system operator

作者: Cuilian Zhou

作者单位: School of Science Shandong University of Technology Zibo Shandong 255049, P.R. China

会议类型: 国际会议

会议名称: The 10th International Conference on Intelligent Technologies(第十届智慧科技国际会议 InTech09)

会议地点: 桂林

会议语种:英文

页码: 441-445

在线出版日期: 2009-12-12（万方平台首次上网日期，不代表论文的发表时间）