Free vibration and buckling analysis of functionally graded sandwich beams resting on a two-parameter elastic foundation using a quasi-3D theory

Volkan Kahya

Article Details

Free vibration and buckling analysis of functionally graded sandwich beams resting on a two-parameter elastic foundation using a quasi-3D theory

Authors:

Volkan Kahya

Publisher:

Yildiz Technical University

Main Topics:

Clinical Chemistry

Journal:

Sigma Journal of Engineering and Natural Sciences Vol.43 Issue 1, pp.47-61

Document Type:

Article

Publication Date:

2/2025

Document Language:

English

Document ID (Org No.):

2001344769

pISSN:

1304-7191

Keywords:

Abstract:

 This study examines the free vibration and buckling behavior of functionally graded FG sandwich beams supported by a Winkler-Pasternak elastic foundation, utilizing a quasi-3D deformation theory. The material properties of the FG sandwich beams are modeled to vary continuously through the thickness according to a power-law distribution. Using Hamiltons principle, the governing equations of motion are derived. Analytical solutions are obtained for simply supported FG sandwich beams with homogeneous cores by employing Naviers method. The accuracy of the proposed model is demonstrated by comparing the current results with the higher-order deformation theories-based solutions available in literature. A comprehensive parametric study is also carried out to explore the effect of the skin-core-skin thickness ratio, the power-law index, beam span-to-depth ratio, normal strain, core material, and elastic foundation on fundamental natural frequencies and critical buckling loads.

 This study examines the free vibration and buckling behavior of functionally graded FG sandwich beams supported by a Winkler-Pasternak elastic foundation, utilizing a quasi-3D deformation theory. The material properties of the FG sandwich beams are modeled to vary continuously through the thickness according to a power-law distribution. Using Hamiltons principle, the governing equations of motion are derived. Analytical solutions are obtained for simply supported FG sandwich beams with homogeneous cores by employing Naviers method. The accuracy of the proposed model is demonstrated by comparing the current results with the higher-order deformation theories-based solutions available in literature. A comprehensive parametric study is also carried out to explore the effect of the skin-core-skin thickness ratio, the power-law index, beam span-to-depth ratio, normal strain, core material, and elastic foundation on fundamental natural frequencies and critical buckling loads.

 This study examines the free vibration and buckling behavior of functionally graded FG sandwich beams supported by a Winkler-Pasternak elastic foundation, utilizing a quasi-3D deformation theory. The material properties of the FG sandwich beams are modeled to vary continuously through the thickness according to a power-law distribution. Using Hamiltons principle, the governing equations of motion are derived. Analytical solutions are obtained for simply supported FG sandwich beams with homogeneous cores by employing Naviers method. The accuracy of the proposed model is demonstrated by comparing the current results with the higher-order deformation theories-based solutions available in literature. A comprehensive parametric study is also carried out to explore the effect of the skin-core-skin thickness ratio, the power-law index, beam span-to-depth ratio, normal strain, core material, and elastic foundation on fundamental natural frequencies and critical buckling loads.

 This study examines the free vibration and buckling behavior of functionally graded FG sandwich beams supported by a Winkler-Pasternak elastic foundation, utilizing a quasi-3D deformation theory. The material properties of the FG sandwich beams are modeled to vary continuously through the thickness according to a power-law distribution. Using Hamiltons principle, the governing equations of motion are derived. Analytical solutions are obtained for simply supported FG sandwich beams with homogeneous cores by employing Naviers method. The accuracy of the proposed model is demonstrated by comparing the current results with the higher-order deformation theories-based solutions available in literature. A comprehensive parametric study is also carried out to explore the effect of the skin-core-skin thickness ratio, the power-law index, beam span-to-depth ratio, normal strain, core material, and elastic foundation on fundamental natural frequencies and critical buckling loads.

Article Details

Free vibration and buckling analysis of functionally graded sandwich beams resting on a two-parameter elastic foundation using a quasi-3D theory

Authors:

Volkan Kahya

Publisher:

Yildiz Technical University

Main Topics:

Clinical Chemistry

Journal:

Sigma Journal of Engineering and Natural Sciences Vol.43 Issue 1, pp.47-61

Document Type:

Article

Publication Date:

2/2025

Document Language:

English

Document ID (Org No.):

2001344769

pISSN:

1304-7191

Buckling

Elastic foundation

FG Sandwich Beam

Free Vibration

Navier Method

Quasi-3D Theory

Issues

Article Details

Free vibration and buckling analysis of functionally graded sandwich beams resting on a two-parameter elastic foundation using a quasi-3D theory

Authors: Volkan Kahya

Publisher: Yildiz Technical University

Main Topics: Clinical Chemistry

Journal: Sigma Journal of Engineering and Natural Sciences Vol.43 Issue 1, pp.47-61

Document Type: Article

Publication Date: 2/2025

Document Language: English

Document ID (Org No.): 2001344769

pISSN: 1304-7191

Buckling

Elastic foundation

FG Sandwich Beam

Free Vibration

Navier Method

Quasi-3D Theory

Issues

Authors:

Volkan Kahya

Publisher:

Yildiz Technical University

Main Topics:

Clinical Chemistry

Journal:

Sigma Journal of Engineering and Natural Sciences Vol.43 Issue 1, pp.47-61

Document Type:

Article

Publication Date:

2/2025

Document Language:

English

Document ID (Org No.):

2001344769

pISSN:

1304-7191