Abstract
Active vibration control has been successfully tested for structures with simple geometry, such as beams and plates, by using modal controllers. Since the dynamical behaviour of a variety of mechanical structures can be expressed in terms of modal parameters, the application of modal control concepts can be extended to structures with more complex geometries. For such structures the evaluation of modal parameters from numerical calculations of local modes is complicated because the results strongly depend on proper boundary conditions of the truncated structure. Therefore the modal data are identified by an experimental modal analysis. The transformation of the experimentally evaluated mode shapes into a closed analytical formulation and the extraction of modal input and output factors for sensors and actuators connect experimental modal analysis and modal control theory. The implementation of the input and output factors into a modal state space formulation results in a modal filter for the point sensor array and a retransformation filter for the segmented actuator patches. In this study PVDF foil is used for sensors and actuators. The modal controller is implemented on a digital controller board and experimental tests with the floor panel and center panel of a car body are carried out to validate the proposed concept.
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Abbreviations
- ωr :
-
natural frequency of the r th mode
- ζr :
-
viscous damping ratio of the r th mode
- φr :
-
mass normalized mode shape of the r th mode
- q r :
-
modal coordinate of the r th mode
- x, y :
-
cartesian coordinates
- F :
-
mechanical load
- f r :
-
modal mechanical load of the r th mode
- {u} u :
-
input vector, actuator voltage
- [A]:
-
modal system matrix
- [B], b r :
-
modal input matrix, modal input factor
- [C], C r :
-
modal output matrix, modal output factor
- [G]:
-
gain matrix
- {x}:
-
state variable vector
- {y}:
-
sensor output vector
- {R}:
-
control vector
- Ĝ FF , Ĝ XX :
-
auto power spectrum
- Ĝ FX :
-
cross power spectrum
- γ2 :
-
coherence
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Stöbener, U., Gaul, L. (2002). Active Vibration Control of a Car Body Based on Experimentally Evaluated Modal Parameters. In: Preumont, A. (eds) Responsive Systems for Active Vibration Control. NATO Science Series, vol 85. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0483-1_10
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DOI: https://doi.org/10.1007/978-94-010-0483-1_10
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