Spectral finite element modeling of beams treated with active constrained layer damping with consideration of thickness deformation

Miao Wang; Guang Meng

doi:10.1117/12.779862

1 November 2007 Spectral finite element modeling of beams treated with active constrained layer damping with consideration of thickness deformation

Miao Wang, Guang Meng

Author Affiliations +

Proceedings Volume 6423, International Conference on Smart Materials and Nanotechnology in Engineering; 642344 (2007) https://doi.org/10.1117/12.779862
Event: International Conference on Smart Materials and Nanotechnology in Engineering, 2007, Harbin, China

Abstract

As we all know, the damping layer in the structures treated with active constrained layer damping (ACLD) is much softer than the other layers. So thickness deformation in the damping layer may occur under flexural loads, which may consequently change the dynamic characteristic and affect active control efforts. Thus, a new model for ACLD structures is built with consideration of the thickness deformation as well as the shear deformation in the damping layer. Both the differential equations and the boundary conditions are derived for the ACLD beams. The novel spectral finite element method (SFEM) is used to model the ACLD structure in the frequency domain. And a special method called "frequency-time conversion" is firstly proposed, which uses the eigenvalues and the eigenvectors to reconstruct the control equation in the time domain. Then the linear quadratic regulator with a prescribed degree of stability based on output feedback is used, which optimizes control energy and guarantees big damping simultaneously. And some comparisons are made between the new model and the conventional Mead-Markus model.

Citation Download Citation

Miao Wang and Guang Meng "Spectral finite element modeling of beams treated with active constrained layer damping with consideration of thickness deformation", Proc. SPIE 6423, International Conference on Smart Materials and Nanotechnology in Engineering, 642344 (1 November 2007); https://doi.org/10.1117/12.779862

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