A finite element based state-space approach for vibration analysis of slender explosive clad pipe with partial contact defect

An efficient modeling method is presented in this paper for vibration analysis of explosive clad pipe with partial contact defect (PCD). The principal purpose is to study the effects of the PCD on the vibration characteristics of explosive clad pipe and to explore effective techniques for detecting the PCD. The slender explosive clad pipe is regarded as two parallel elastic beams continuously joined by a virtual Winkler/Pasternak type viscoelastic layer, and the virtual layer is capable to describe the non-uniform bonding state such as the PCD. By means of finite element method and the standard linear solid (SLS) model, a state-space model of explosive clad pipe with inhomogeneous bonding state is developed for the fields of axial displacement and transverse displacement. The model can reflect the PCD pipe system under different boundary conditions and describe damping behavior of bonding interface. Experiments and numerical examples available in the literature demonstrate the accuracy and reliability of proposed approach. Finally, numerical results are presented and show that the PCD have significant effect on the natural frequencies and forced response in high-frequency domain. A potential method for identifying the length and position of the PCD in explosive clad pipe is also discussed in this paper.