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Nonlinear Dynamics of Composite Delaminated Beam with Piezoelectric Actuator
by:Victor Y. Perel
In the model of the composite delaminated beam, presented in this work, a constraint, preventing interpenetration of the delaminated parts of the beam, is introduced with the use of the Heaviside function and the penalty function method, which is the main novelty of the presented approach to solving dynamic problems for beams with cracks. The...
In the model of the composite delaminated beam, presented in this work, a constraint, preventing interpenetration of the delaminated parts of the beam, is introduced with the use of the Heaviside function and the penalty function method, which is the main novelty of the presented approach to solving dynamic problems for beams with cracks. The longitudinal force resultants in the delaminated sublaminates and rotary inertia terms are taken into account also. The use of the constraint, which prevents the interpenetration of the crack faces, and taking account of the longitudinal force resultants lead to nonlinear partial differential equations of motion and nonlinear finite element formulation. Only thin beams are considered in this work. Example problems are solved for vibration of a cantilever composite delaminated beam with the piezoelectric actuator, attached near a clamped edge. A noticeable difference of forced vibrations of the beams with the crack and without the crack, due to contact interaction of the crack faces, is predicted by the developed model.
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