Dynamic Properties Of Co-cured Composite Structures With Damping Film Embedded

Due to excellent overall performance,Co-cured Composite Structures with Damping Film Embedded(CCSDFE)has been widely used in many fields,such as spacecraft,large aircraft,rail transition and large wind turbines generator,etc.Presently,the research on its dynamic performance focuses on experiment and software simulation in consideration of the complexity of CCSDFE,and there are few reports on relevant theoretical studies.In this paper,the Zig-zag model,first-order shear deformation theory(FSDT),Hamilton's principle and Navier method are presented to derive the vibration differential equation of CCSDFE,such as,beam,plate,open cylindrical shell and symmetric hyperbolic spherical shell.The theory resolution of modal frequencies and loss factors is obtained by self-programing,and the validity of assumptions and theoretical equation is verified by the experimental method or numerical simulation.On the basis of model validation,the relationship of dynamics properties with geometric parameters is obtained.The main content and innovations of this paper are as follows:(1)Based on the FSDT and Zig-zag model,the complex vibration equations of Co-cured Composite Beam with One Damping Film Embedded(CCBODFE)are derived by the combination of composite material mechanics,viscoelastic mechanics with Hamilton's principle.The theoretical solution that satisfies displacement boundary conditions is obtained by employing trigonometric series method,and experimental platform of modal testing for CCBODFE with simple support is built.The theoretical solution is compared with the experimental results,and the relationship of dynamic properties of CCBODFE with structural parameters is investigated.(2)Based on the FSDT,composite material mechanics and viscoelastic mechanics,the complex governing equations of Co-cured Composite Plate with One Damping Film Embedded(CCPODFE)are built by combination of piecewise displacement model with Hamilton's principle,the theoretical solution that satisfies the displacement boundary conditions is obtained by employing Navier method,and theoretical equations are verified by finite element analysis.The influence of relative parameters on structural vibration characteristics of CCPODFE is investigated.(3)Combined piecewise displacement theory with FSDT,in light of the structure characteristics of Co-cured Composite Plate with Two Damping Films Embedded(CCPTDFE),complex equations of motion of CCPTDFE are obtained on the basis of composite material mechanics,viscoelastic mechanics and minimum potential energy principle.The theoretical solution that satisfies the displacement boundary conditions is obtained by employing bi-trigonometric series method,and the theoretical solutions is compared with finite element simulation results of CCPTDFE.The relationship of dynamic properties of CCPTDFE with different structural parameters is discussed.(4)On basis of piecewise displacement theory,the complex kinetic equation of Co-cured Composite Open Cylindrical Shell with One Damping Film Embedded(CCOCSOD)is derived by combination of complex module,composite material mechanics,FSDT with virtual work principle.The theoretical solution that satisfies the displacement boundary conditions is obtained using double Fourier series method,and the validity of the theoretical solution is verified by ANSYS model.The influence of structural parameters on the vibration characteristics of CCOCSOD is studied.(5)On the basis of composite material mechanics,viscoelastic mechanics and complex module,the complex differential equations of Co-cured Composite Symmetrical Shell with One Damping Film Embedded(CCSSSOD)are obtained by combination of FSDT,Zig-zag model and principle of virtual displacement.The theoretical solution that satisfies the displacement boundary conditions is obtained by bi-trigonometric series method,and theoretical solution of CCSSSOD is compared with the finite element analysis results.The relationship of dynamic properties of CCSSSOD with the structural parameters is explored.