Based on the general linear elastic theory of thin shells and the potential flow theory,considering energy dissipation of passive constrained layer damping(PCLD)due to shear deformation of its viscoelastic core and fluid-solid coupled interaction,a first order integrated differential matrix equation of a circular cylindrical shell with PCLD treatment was derived firstly.

Dynamics optimization of passive constrained layer damping beam based on PCL language;

Numerical model of beams with active constrained layer damping;

In order to model the active constrained layer damping structures more precisely and more perfectly so as to perform the control research,two different discrete methods are employed during the course of modeling the structure by finite element method.

Lagrangian formulation and Raleigh-Ritz approach are employed to derive the governing equation control of a rotating flexible beam fully covered with active constrained layer damping treatment in this paper.

Application of subspace identification method in modeling of active constrained layer damping(ACLD) tubby structure;

With Hamilton's Principle,the dynamic differential equations and boundary conditions for coupled vibration of cylindrical shells treated with active constrained layer damping(ACLD) are derived.

Beam element model analysis of composite beam with constrained damping layer;

Secondly with non-damping layers,free damping layers and constrained damping layers,the oil pan noise radiation is analyzed.

To cut down element number for modeling structure with constrained damping layer(CDL) in general FEM software,the whole element method is adopted to solve the extension,bending and torsion vibration of the hollow circular beam with CDL.