Nonlinear dynamic response and modeling of a bi-stable composite plate for applications to adaptive structures. (English) Zbl 1183.74139
Summary: This paper discusses the formulation and validation of a low order model to capture the dynamics of a bi-stable composite plate, focusing on the dynamics around its stable states. More specifically, the model aims to capture the complex nonlinear subharmonic behavior observed in the dynamic response of the plate. A system identification approach is used to derive simplified equations of motion for the system. Experimental frequency response diagrams are obtained to characterize the observed dynamics in the identification process. Simulations using the identified model are presented showing excellent agreement with the experimentally observed behavior. A theoretical validation of the model is carried out studying the stability of the modes where subharmonic response was observed. Stability boundaries were computed using averaging techniques showing good agreement with experimental results.
MSC:
| 74K20 | Plates |
| 74H45 | Vibrations in dynamical problems in solid mechanics |
| 74E30 | Composite and mixture properties |
| 74-05 | Experimental work for problems pertaining to mechanics of deformable solids |
Keywords:
bi-stable composites; nonlinear vibration; subharmonic resonance; experimental identificationReferences:
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