Can I read Three-Dimensional Vibration Model of Cylindrical Shells via Carrera Unified Formulation on EtoBox?

Three-Dimensional Vibration Model of Cylindrical Shells via Carrera Unified Formulation by Weige Liang; Tao Liu; Chi Li; Qingshan Wang is a Engineering article available to read on EtoBox.

What is Three-Dimensional Vibration Model of Cylindrical Shells via Carrera Unified Formulation about?

In this paper, we present a novel and unified model for studying the vibration of cylindrical shells based on the three-dimensional (3D) elastic theory and the Carrera Unified Formulation. Our approach represents a significant advancement in the field, as it enables us to accurately predict the vibrational behavior of cylindrical shells under arbitrary boundary conditions. To accomplish this, we expand the axial, circumferential, and radial displacements of the shell using Chebyshev polynomials and Taylor series, thereby reducing the dimensionality of the expansion and ensuring the precision and rigor of our results. In addition, we introduce three groups of artificial boundary surface springs to simulate the general end boundary conditions of the cylindrical shell and coupling springs to strongly couple the two surfaces of the cylindrical shell __φ__ = 0 and __φ__ = 2π to ensure continuity of displacements on these faces. Using the energy function of the entire cylindrical shell model, we obtain the characteristic equation of the system by finding the partial derivatives of the unknown coefficients of displacement in the energy function. By solving this equation, we can directly o

Who reads Three-Dimensional Vibration Model of Cylindrical Shells via Carrera Unified Formulation?

Author

Weige Liang; Tao Liu; Chi Li; Qingshan Wang

Publisher

MDPI AG

Published

2023

Language

EN

Field

Engineering (Physical Sciences)