This work addresses the large amplitude nonlinear vibratory behavior of a rotating cantilever beam, with applications to turbomachinery and turbopropeller blades. The aim of this work is twofold. Firstly, we investigate the effect of rotation speed on the beam nonlinear vibrations and especially on the hardening/softening behavior of its resonances and the appearance of jump phenomena at large amplitude. Secondly, we compare three models to simulate the vibrations. The first two are based on analytical models of the beam, one of them being original. Those two models are discretized on appropriate mode basis and solve by a numerical following path method. The last one is based on a finite-element discretization and integrated in time. The accuracy and the validity range of each model are exhibited and analyzed.
Resumo Foram atribuídas notas de capacidade de aprendizagem de uma discriminação simples a onze espécies de abelhas sociais. Cada espécie foi representada por 10 abelhas escolhidas ao acaso e treinadas individualmente. O treino incluiu modelagem de pouso sobre o aparelho experimental, aquisição da discriminação e extinção. Os estímulos eram as cores amarela e azul. Para cada espécie, cinco abelhas recebiam alimento se escolhessem o azul e outras cinco se escolhessem amarelo. Após setenta escolhas não era mais obtido alimento e o registro do comportamento prosseguia até se obter uma pausa mínima de 30 minutos. Foram confrontadas as médias de acertos e de acertos consecutivos após o último erro e as médias de respostas na extinção efetuadas por cada espécie. Diferentes critérios de atribuição de notas de aprendizagem foram apresentados.
Vibration reduction of a turbojet fan blade with piezoelectric patches connected to a passive electrical circuit, commonly called “shunt”, is addressed in this study. The purpose of this work is to present a method for maximizing the performance of a piezoelectric resonant shunt. The cases of resistive shunt [1] and switch techniques [2] are not covered here but the method remains valid.
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