Vibration Performance of Composite Doubly Curved Shells Embedded With Damping Layer

This paper presents an analysis of the vibration performance of composite shells with doubly-curved shapes embedded with a damping layer. First, the geometric equation and governing equation of composite sandwich doubly curved shells (CSDCSs) are deduced using the first-order shear shell theory and Hamilton’s principle. Subsequently, the Navier solution is applied to solve the deduced governing equation of CSDCSs, and the findings obtained by ANSYS are used to validate the validity and accuracy of the solutions. Finally, this paper graphically provides the vibration performance of CSDCSs with the structural as well as the physical parameters, as follows: With the change of the thickness ratio of the upper and lower layers, the frequency of hyperbolic shell decreases and then increases, while the loss factor increases and then decreases. As the aspect ratio rises, the frequency and loss factor of the spherical shell gradually decrease; the frequency of the parabolic shell shows a trend of gradually decreasing, while the loss factor shows a trend of increasing. Increasing the length-to-radius ratio, the loss factor decreases significantly, but the frequency only decreases slightly. When the shear coefficient takes a value greater than a certain value, CSDCSs can obtain both a better structural stiffness and a larger loss factor.