Related Experiment Video
Updated: Jul 30, 2025
14:57
Structural Design and Manufacturing of a Cruiser Class Solar Vehicle
Published on: January 30, 2019
13.9K
Three-Dimensional Vibration Model of Cylindrical Shells via Carrera Unified Formulation
Weige Liang1, Tao Liu2, Chi Li1
1College of Weapons Engineering, Naval University of Engineering, Wuhan 430033, China.
Materials (Basel, Switzerland)
|May 13, 2023
Summary
This study introduces a new model for analyzing cylindrical shell vibrations using 3D elastic theory and Carrera Unified Formulation. The method accurately predicts shell vibration characteristics under various boundary conditions.
Area of Science:
- Structural Mechanics
- Vibrational Analysis
Background:
- Cylindrical shells are crucial structural components.
- Accurate prediction of their vibrational behavior is essential for engineering applications.
- Existing models may lack accuracy or generality for arbitrary boundary conditions.
Purpose of the Study:
- To develop a novel and unified model for the vibration analysis of cylindrical shells.
- To accurately predict vibrational behavior under arbitrary boundary conditions.
- To provide a reliable method for analyzing frequency features.
Main Methods:
- Utilized three-dimensional (3D) elastic theory and Carrera Unified Formulation.
- Expanded displacements using Chebyshev polynomials and Taylor series.
- Implemented artificial boundary surface springs and coupling springs for boundary conditions.
Main Results:
- Developed a dimensionality-reduced model for precise vibration analysis.
- Obtained the characteristic equation by minimizing the energy function.
- Validated the model's convergence, accuracy, and reliability against literature and finite element results.
Conclusions:
- The proposed model accurately predicts the vibration characteristics of cylindrical shells.
- The approach is versatile for various geometrical and boundary parameters.
- This work enhances understanding and offers advancements in structural engineering analysis.
Keywords:
cylindrical shell structureselastic boundary conditionsnew numerical modelthree-dimensional vibrationtwo-dimensional Chebyshev polynomialsunified solutionMore Related Videos
Related Concept Videos
01:15Thin-Walled Hollow Shafts
218
In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution...
218
01:21Equations of Motion: Rectangular Coordinates and Cylindrical Coordinates
360
Understanding the motion of particles is a fundamental aspect of classical mechanics, and the choice of the coordinate system plays a pivotal role in unraveling the complexities of their dynamics.
When a particle moves relative to an inertial frame, the equations of motion can be expressed using rectangular components. If the motion is confined to the x-y plane, the equations having the x and y coordinates only can be used to simplify the mathematical representation.
However, when particles...
When a particle moves relative to an inertial frame, the equations of motion can be expressed using rectangular components. If the motion is confined to the x-y plane, the equations having the x and y coordinates only can be used to simplify the mathematical representation.
However, when particles...
360
01:10Deformation in a Circular Shaft
393
One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...
393
01:30Three-Dimensional Force System
2.1K
In mechanical engineering, a three-dimensional force system is a system of forces acting in three dimensions, with forces applied along the x, y, and z coordinate axes. The three-dimensional force system is an important concept in mechanical engineering, as it allows engineers to understand and analyze the behavior of objects and structures in three dimensions. By understanding the forces acting on a system, engineers can design more efficient and effective mechanical systems that can withstand...
2.1K
01:20Gauss's Law: Cylindrical Symmetry
7.7K
A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
7.7K
01:10Residual Stresses in Circular Shafts
207
In materials that exhibit elastic and plastic behavior, known as elastoplastic materials, residual stresses can accumulate when these materials experience plastic deformation. This deformation arises from either high levels of shearing stress or significant strains. Residual stresses are internal stresses that persist within a material after removing the external force causing deformation. This phenomenon is demonstrated when observing the behavior of a shaft under torque; notably, the...
207