Out-of-plane free vibration analysis of three-layer sandwich beams using dynamic stiffness matrix
This paper has been devoted to exact calculation of the natural frequencies for out-of-plane free vibration of three-layer symmetric sandwich beams by using dynamic stiffness matrix method. Governing differential equations of motion have been derived using Euler-Bernoulli beam theory and St. Venant’...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-12-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016821002891 |
| _version_ | 1818366222856617984 |
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| author | Mohammad Gholami Ali Alibazi Reza Moradifard Samira Deylaghian |
| author_facet | Mohammad Gholami Ali Alibazi Reza Moradifard Samira Deylaghian |
| author_sort | Mohammad Gholami |
| collection | DOAJ |
| description | This paper has been devoted to exact calculation of the natural frequencies for out-of-plane free vibration of three-layer symmetric sandwich beams by using dynamic stiffness matrix method. Governing differential equations of motion have been derived using Euler-Bernoulli beam theory and St. Venant’s torsion theory, so that the effects of shear deformation in the face layers and rotary inertia are not taken into account and the cross-section is allowed to warp without restraint. Wittrick-Williams algorithm has been used to calculate the natural frequencies. Accuracy and ability of the dynamic stiffness matrix method have been illustrated in form of several examples. Results are verified through comparison with the natural frequencies obtained from ABAQUS software. Full independence of out-of-plane bending and torsional modes of vibration for three-layer symmetric sandwich beams has been proven. |
| first_indexed | 2024-12-13T22:32:44Z |
| format | Article |
| id | doaj.art-151d5a40d0c842efb8ae1fb9284978fa |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-13T22:32:44Z |
| publishDate | 2021-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-151d5a40d0c842efb8ae1fb9284978fa2022-12-21T23:29:02ZengElsevierAlexandria Engineering Journal1110-01682021-12-0160649814993Out-of-plane free vibration analysis of three-layer sandwich beams using dynamic stiffness matrixMohammad Gholami0Ali Alibazi1Reza Moradifard2Samira Deylaghian3Civil Engineering Department, Faculty of Engineering, Yasouj University, Yasouj, Iran; Corresponding author.Shahid Beheshti University, Tehran, IranShahid Beheshti University, Tehran, IranShahid Beheshti University, Tehran, IranThis paper has been devoted to exact calculation of the natural frequencies for out-of-plane free vibration of three-layer symmetric sandwich beams by using dynamic stiffness matrix method. Governing differential equations of motion have been derived using Euler-Bernoulli beam theory and St. Venant’s torsion theory, so that the effects of shear deformation in the face layers and rotary inertia are not taken into account and the cross-section is allowed to warp without restraint. Wittrick-Williams algorithm has been used to calculate the natural frequencies. Accuracy and ability of the dynamic stiffness matrix method have been illustrated in form of several examples. Results are verified through comparison with the natural frequencies obtained from ABAQUS software. Full independence of out-of-plane bending and torsional modes of vibration for three-layer symmetric sandwich beams has been proven.http://www.sciencedirect.com/science/article/pii/S1110016821002891Sandwich beamOut-of-plane free vibrationDynamic stiffness matrixABAQUS software |
| spellingShingle | Mohammad Gholami Ali Alibazi Reza Moradifard Samira Deylaghian Out-of-plane free vibration analysis of three-layer sandwich beams using dynamic stiffness matrix Alexandria Engineering Journal Sandwich beam Out-of-plane free vibration Dynamic stiffness matrix ABAQUS software |
| title | Out-of-plane free vibration analysis of three-layer sandwich beams using dynamic stiffness matrix |
| title_full | Out-of-plane free vibration analysis of three-layer sandwich beams using dynamic stiffness matrix |
| title_fullStr | Out-of-plane free vibration analysis of three-layer sandwich beams using dynamic stiffness matrix |
| title_full_unstemmed | Out-of-plane free vibration analysis of three-layer sandwich beams using dynamic stiffness matrix |
| title_short | Out-of-plane free vibration analysis of three-layer sandwich beams using dynamic stiffness matrix |
| title_sort | out of plane free vibration analysis of three layer sandwich beams using dynamic stiffness matrix |
| topic | Sandwich beam Out-of-plane free vibration Dynamic stiffness matrix ABAQUS software |
| url | http://www.sciencedirect.com/science/article/pii/S1110016821002891 |
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