Advanced Frequency of Thick FGM Spherical Shells with Fully Homogeneous Equation by Using TSDT and Nonlinear Varied Shear Coefficient

Chih-chiang Hong

doi:10.29228/eng.pers.77784

Advanced Frequency of Thick FGM Spherical Shells with Fully Homogeneous Equation by Using TSDT and Nonlinear Varied Shear Coefficient

Abstract

The natural frequency values of free vibrations are generally dependent on properties of materials, boundary conditions, displacement types, vibration matter with respect to axes direction, environment temperature and shear correction in thick composited shells. Advanced natural frequency investigation of thick functionally graded material (FGM) spherical shells is presented by considering the advanced shear correction coefficient. When the more thicker shells are used, it is more necessary to consider the transverse shear effect on the vibrations. It is novel to consider the effects of nonlinear coefficient in third-order shear deformation theory (TSDT) on the advanced shear correction coefficient. The nonlinear coefficient term of TSDT is included the fully homogeneous equation according to the homogeneous matrix under free vibration. The numerical solution can be solved for the five degree polynomial equation derived from zero determinant of the fully coefficient matrix by using the numerical method, then the natural frequency can be obtained. Three effects of nonlinear coefficient term, environment temperature and power law index on the frequency of thick FGM spherical shells with advanced shear correction coefficient are studied. The numerical values of natural frequencies are calculated and investigated. These numerical values of natural frequencies are very important in the designs of structures used to prevent resonance in the vibration of mechanisms.

Keywords

References

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Details

Primary Language

English

Subjects

Dynamics, Vibration and Vibration Control, Solid Mechanics

Journal Section

Research Article

Authors

Chih-chiang Hong This is me
Taiwan

Publication Date

December 31, 2024

Submission Date

May 17, 2024

Acceptance Date

September 11, 2024

Published in Issue

Year 2024 Volume: 4 Number: 4

DOI

https://doi.org/10.29228/eng.pers.77784

IZ

https://izlik.org/JA67RU67ZR

Cite

RIS / Bibtex

APA

Hong, C.- chiang. (2024). Advanced Frequency of Thick FGM Spherical Shells with Fully Homogeneous Equation by Using TSDT and Nonlinear Varied Shear Coefficient. Engineering Perspective, 4(4), 130-140. https://doi.org/10.29228/eng.pers.77784

AMA

1.Hong C chiang. Advanced Frequency of Thick FGM Spherical Shells with Fully Homogeneous Equation by Using TSDT and Nonlinear Varied Shear Coefficient. engineeringperspective. 2024;4(4):130-140. doi:10.29228/eng.pers.77784

Chicago

Hong, Chih-chiang. 2024. “Advanced Frequency of Thick FGM Spherical Shells With Fully Homogeneous Equation by Using TSDT and Nonlinear Varied Shear Coefficient”. Engineering Perspective 4 (4): 130-40. https://doi.org/10.29228/eng.pers.77784.

EndNote

Hong C- chiang (December 1, 2024) Advanced Frequency of Thick FGM Spherical Shells with Fully Homogeneous Equation by Using TSDT and Nonlinear Varied Shear Coefficient. Engineering Perspective 4 4 130–140.

IEEE

[1]C.- chiang Hong, “Advanced Frequency of Thick FGM Spherical Shells with Fully Homogeneous Equation by Using TSDT and Nonlinear Varied Shear Coefficient”, engineeringperspective, vol. 4, no. 4, pp. 130–140, Dec. 2024, doi: 10.29228/eng.pers.77784.

ISNAD

Hong, Chih-chiang. “Advanced Frequency of Thick FGM Spherical Shells With Fully Homogeneous Equation by Using TSDT and Nonlinear Varied Shear Coefficient”. Engineering Perspective 4/4 (December 1, 2024): 130-140. https://doi.org/10.29228/eng.pers.77784.

JAMA

1.Hong C- chiang. Advanced Frequency of Thick FGM Spherical Shells with Fully Homogeneous Equation by Using TSDT and Nonlinear Varied Shear Coefficient. engineeringperspective. 2024;4:130–140.

MLA

Hong, Chih-chiang. “Advanced Frequency of Thick FGM Spherical Shells With Fully Homogeneous Equation by Using TSDT and Nonlinear Varied Shear Coefficient”. Engineering Perspective, vol. 4, no. 4, Dec. 2024, pp. 130-4, doi:10.29228/eng.pers.77784.

Vancouver

1.Chih-chiang Hong. Advanced Frequency of Thick FGM Spherical Shells with Fully Homogeneous Equation by Using TSDT and Nonlinear Varied Shear Coefficient. engineeringperspective. 2024 Dec. 1;4(4):130-4. doi:10.29228/eng.pers.77784

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