Modeling And Vibration Control Analysis On PCLD And ACLD Arch Shell

In recent years, two type of new structures, passive constrained layer damping (PCLD) and active constrained layer damping (ACLD), have attracted extensive attention and been applied in the fields of aviation, civil engineering, mechanical and so on. In the structural vibration control, the viscoelastic structure using viscoelastic material is a very effective energy dissipation control device. It is also one of the passive vibration control device that was firstly used in civil engineering structural damping. By increasing the structural damping and diffusing the structural energy, the viscoelastic damper can attain the purpose to reduce the response induced by earthquake or winding. For this reason, it has become the most widely used control devices in civil engineering. PCLD structure is formed by treating an elastic constrained layer on the damping structure. Its damping effect is superior to the free damping structure. Moreover, it has many advantages, such as simple structure, easy realization, wide control frequency, high stability and reliability, low cost and so on. In ACLD structure, the constrained layer is made of smart materials (piezoelectric material). By virtue of the electromechanical coupling effect, ACLD structure can initiatively change the shear deformation in damping layer, so it has a higher adaptability and can be applied in a wider frequency range.This paper mainly studied the modeling and vibration control of PCLD, ACLD arch shell with simply supported on the two longitudinal edges. Firstly, based on the linear theory of thin shells and viscoelastic materials, considering the energy dissipation due to the shear deformation of viscoelastic core, the first order differential matrix equation of PCLD laminated arch shell with simply supported on the two longitudinal edges was derived. It consists of 12 independent first order differential equations, while each variable has a distinct physical meaning. On the foundation of this, the dynamics characteristic of a PCLD arch shell with simply supported on the two longitudinal edges was analyzed by the homogenized precise integration technology. Secondly, considering the piezoelectric effect of piezoelectric materials, the expression of the piezoelectric membrane force was obtained. Combining with the integrated first order differential matrix equation of a PCLD laminated arch shell, the first order ordinary differential matrix equation of an ACLD laminated arch shell with simply supported on the two longitudinal edges was derived. Employing the method of homogenization of high precision direct integration, the influence of piezoelectric effect on the free vibration characteristic of an ACLD laminated arch shell was investigated.