유체가 흐르는 인장 가능한 곡선관의 고유진동수 해석

Abstract

The vibration of a curved pipe conveying f1uid is studied when the pipe is c1amped at both ends. To consider the nonlinearity, thi s study adopts the Lagrange strain theory for large deformation and the extensible dynamics based on the Euler-Bernoulli beam theory for slenderness assumption. By using the Hamilton principle, the non-linear partial differential equations are derived. To investigate the dynamic characteristics of the system, the discretized equations of motion are derived from the Galerkin method. The natural frequencies varying with the flow velocity are computed. From these results, we should consider the nonlinearity to analyze dynamics of a curved pipe conveying f1uid more precisely