Linear Vibration Analysis of Shells Using a Seven-Parameter Spectral/<i>hp</i> Finite Element Model

• Main Authors: Carlos Valencia Murillo, Miguel Gutierrez Rivera, Junuthula N. Reddy
• Format: Article
• Language: English
• Published: MDPI AG 2020-07-01
• Series: Applied Sciences
• Subjects: 7-parameter shell; finite element model; natural frequencies; numerical results
• Online Access: https://www.mdpi.com/2076-3417/10/15/5102

In this paper, a seven-parameter spectral/<i>hp</i> finite element model to obtain natural frequencies in shell type structures is presented. This model accounts for constant and variable thickness of shell structures. The finite element model is based on a Higher-order Shear Deformation Theory, and the equations of motion are obtained by means of Hamilton’s principle. Analysis is performed for isotropic linear elastic shells. A validation of the formulation is made by comparing the present results with those reported in the literature and with simulations in the commercial code ANSYS. Finally, results for shell like structures with variable thickness are presented, and their behavior for different ratios <inline-formula> <math display="inline"> <semantics> <mrow> <mi>r</mi> <mo>/</mo> <mi>h</mi> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mi>L</mi> <mo>/</mo> <mi>r</mi> </mrow> </semantics> </math> </inline-formula> is studied.