Mode Shape Recognition of Complicated Spatial Beam-Type Structures via Polynomial Shape Function Correlation

Autor: Y. Chen, D. T. Griffith
Rok vydání: 2021
Předmět:
Zdroj: Experimental Techniques. 46:905-917
ISSN: 1747-1567
0732-8818
DOI: 10.1007/s40799-021-00505-w
Popis: The mode shapes of many beam-type structures, such as aircraft wings and wind turbine blades, involve a high degree of coupling between flap-wise and edge-wise bending deformations. In the case of wind turbine blades, the principal bending deformations (flap-wise deformation and edge-wise deformation) are typically easily recognized by visual observation. However, this visual approach is sometimes challenging for high-order mode shapes that have complex mode deformation. More importantly, visual observation cannot quantify the contribution of different deformation components for each mode. This work proposes a novel mode shape recognition algorithm, called Mode Shape Recognition Matrix (MSRM), for application to complicated spatial beam-type structures not only to identify the deformation components of the complex beam mode shapes, but more importantly, to quantify their respective relative contribution. In the application case studied for the MSRM method, a three-dimensional wind turbine blade is mapped into three-dimensional Chebyshev polynomial space. The blade mode shape is correlated to each polynomial shape function to find the contribution of each polynomial shape function for the mode shape. To validate the mode shape recognition performance, MSRM is applied on both numerical mode shapes from a fidelity blade finite element model and experimental mode shapes from a high spatial resolution 3D SLDV modal test. Both numerical and experimental studies demonstrate that MSRM can successfully recognize the quantitative contribution of flap-wise deformation and edge-wise deformation for each wind turbine blade mode shape.
Databáze: OpenAIRE
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