An Analytical Model for the Vibration of Viscoelastically Damped Curved Sandwich Beams
Report Number: WL-TR-91-3078 Volume II, paged FDC-1 to FDC-23
Author(s): Rao, Mohan D., He, Shulin
Corporate Author(s): Michigan Technological University
Laboratory: Wright Laboratory
Date of Publication: 1991-08
Pages: 23
DoD Project: 2401
DoD Task: 240104
Identifier: This paper is part of a conference proceedings. See ADA241312
Abstract:
This paper describes an analytical model for the coupled flexural and longitudinal vibration of a curved sandwich beam system. The system consists of a pair of parallel and identical composite sandwich beams with a viscoelastic damping material forming the core. The ends of the beams may have any physically realizable boundary conditions, but, in this case are assumed to be simply-supported. The governing equations of motion for the forced vibration of the system are derived using the energy method and Hamilton's principle. Both shear and thickness deformation in the adhesive layer is included in the analysis. The solution of the governing equations for the system resonance frequencies and loss factors are obtained ill closed form using the Rayleigh-Ritz method. A parametric study has been conducted to evaluate the effects of curvature, core-thickness and adhesive shear modulus on the system natural frequencies and loss factors. The implications of this parametric study on the damping effectiveness of the system along with some design guidelines are included in the paper.
Provenance: University of Colorado Colorado Springs, Kraemer Family Library
Author(s): Rao, Mohan D., He, Shulin
Corporate Author(s): Michigan Technological University
Laboratory: Wright Laboratory
Date of Publication: 1991-08
Pages: 23
DoD Project: 2401
DoD Task: 240104
Identifier: This paper is part of a conference proceedings. See ADA241312
Abstract:
This paper describes an analytical model for the coupled flexural and longitudinal vibration of a curved sandwich beam system. The system consists of a pair of parallel and identical composite sandwich beams with a viscoelastic damping material forming the core. The ends of the beams may have any physically realizable boundary conditions, but, in this case are assumed to be simply-supported. The governing equations of motion for the forced vibration of the system are derived using the energy method and Hamilton's principle. Both shear and thickness deformation in the adhesive layer is included in the analysis. The solution of the governing equations for the system resonance frequencies and loss factors are obtained ill closed form using the Rayleigh-Ritz method. A parametric study has been conducted to evaluate the effects of curvature, core-thickness and adhesive shear modulus on the system natural frequencies and loss factors. The implications of this parametric study on the damping effectiveness of the system along with some design guidelines are included in the paper.
Provenance: University of Colorado Colorado Springs, Kraemer Family Library
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This report is part of the following conference:
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Proceedings of Damping '91: 13-15 February 1991 San Diego, California (EAA-1 through GBC-16)
WL-TR-91-3078 Volume II