16 June 1998 Frequency response of beams with passively constrained damping layers and piezoactuators
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Abstract
We present and review methods of frequency response analysis for cantilevered sandwich beams consisting of aluminum face plates and passively constrained damping layers at the mid- plane. These analysis methods include: (1) progressive wave method, (2) assumed modes method, and (3) finite element method. The progressive wave method accounts for the frequency dependent complex modulus in analyzing the frequency response function. In the assumed mode and FEM analyses, the frequency dependent complex modulus is assumed to be a constant over the frequency range of interest (i.e. the first three modes). By selecting the value of complex modulus to nominally correspond to the second modal frequency, the error in predicted natural frequency can be minimized. However, this comes at the cost of increased error in the damping ratio predictions which are minimized by selecting the value of complex modulus corresponding to the first mode.
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Gang Wang, Norman M. Wereley, "Frequency response of beams with passively constrained damping layers and piezoactuators", Proc. SPIE 3327, Smart Structures and Materials 1998: Passive Damping and Isolation, (16 June 1998); doi: 10.1117/12.310712; https://doi.org/10.1117/12.310712
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KEYWORDS
Finite element methods

Aluminum

Actuators

Error analysis

Motion models

Wave propagation

3D modeling

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