Stability and Dynamics of Viscoelastic Moving Rayleigh Beams with an Asymmetrical Distribution of Material Parameters
In this article, vibration of viscoelastic axially functionally graded (AFG) moving Rayleigh and Euler–Bernoulli (EB) beams are investigated and compared, aiming at a performance improvement of translating systems. Additionally, a detailed study is performed to elucidate the influence of various fac...
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MDPI AG
2020-04-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/4/586 |
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| author | Ali Shariati Dong won Jung Hamid Mohammad-Sedighi Krzysztof Kamil Żur Mostafa Habibi Maryam Safa |
| author_facet | Ali Shariati Dong won Jung Hamid Mohammad-Sedighi Krzysztof Kamil Żur Mostafa Habibi Maryam Safa |
| author_sort | Ali Shariati |
| collection | DOAJ |
| description | In this article, vibration of viscoelastic axially functionally graded (AFG) moving Rayleigh and Euler–Bernoulli (EB) beams are investigated and compared, aiming at a performance improvement of translating systems. Additionally, a detailed study is performed to elucidate the influence of various factors, such as the rotary inertia factor and axial gradation of material on the stability borders of the system. The material properties of the beam are distributed linearly or exponentially in the longitudinal direction. The Galerkin procedure and eigenvalue analysis are adopted to acquire the natural frequencies, dynamic configuration, and instability thresholds of the system. Furthermore, an exact analytical expression for the critical velocity of the AFG moving Rayleigh beams is presented. The stability maps and critical velocity contours for various material distributions are examined. In the case of variable density and elastic modulus, it is demonstrated that linear and exponential distributions provide a more stable system, respectively. Furthermore, the results revealed that the decrease of density gradient parameter and the increase of the elastic modulus gradient parameter enhance the natural frequencies and enlarge the instability threshold of the system. Hence, the density and elastic modulus gradients play opposite roles in the dynamic behavior of the system. |
| first_indexed | 2024-03-10T20:37:08Z |
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| id | doaj.art-c49890b575f14cea8f90cffb994180e4 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T20:37:08Z |
| publishDate | 2020-04-01 |
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| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-c49890b575f14cea8f90cffb994180e42023-11-19T20:57:49ZengMDPI AGSymmetry2073-89942020-04-0112458610.3390/sym12040586Stability and Dynamics of Viscoelastic Moving Rayleigh Beams with an Asymmetrical Distribution of Material ParametersAli Shariati0Dong won Jung1Hamid Mohammad-Sedighi2Krzysztof Kamil Żur3Mostafa Habibi4Maryam Safa5Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City 758307, VietnamSchool of Mechanical Engineering, Jeju National University, Jeju, Jeju-do 690-756, KoreaMechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz 61357-43337, IranFaculty of Mechanical Engineering, Bialystok University of Technology, 15-351 Bialystok, PolandCenter of Excellence in Design, Robotics and Automation, Department of Mechanical Engineering, Sharif University of Technology, Azadi Avenue, Tehran P.O. Box 11365-9567, IranInstitute of Research and Development, Duy Tan University, Da Nang 550000, VietnamIn this article, vibration of viscoelastic axially functionally graded (AFG) moving Rayleigh and Euler–Bernoulli (EB) beams are investigated and compared, aiming at a performance improvement of translating systems. Additionally, a detailed study is performed to elucidate the influence of various factors, such as the rotary inertia factor and axial gradation of material on the stability borders of the system. The material properties of the beam are distributed linearly or exponentially in the longitudinal direction. The Galerkin procedure and eigenvalue analysis are adopted to acquire the natural frequencies, dynamic configuration, and instability thresholds of the system. Furthermore, an exact analytical expression for the critical velocity of the AFG moving Rayleigh beams is presented. The stability maps and critical velocity contours for various material distributions are examined. In the case of variable density and elastic modulus, it is demonstrated that linear and exponential distributions provide a more stable system, respectively. Furthermore, the results revealed that the decrease of density gradient parameter and the increase of the elastic modulus gradient parameter enhance the natural frequencies and enlarge the instability threshold of the system. Hence, the density and elastic modulus gradients play opposite roles in the dynamic behavior of the system.https://www.mdpi.com/2073-8994/12/4/586axially functionally graded materialsRayleigh beamsaxially moving systemsstability mapcritical velocity contour |
| spellingShingle | Ali Shariati Dong won Jung Hamid Mohammad-Sedighi Krzysztof Kamil Żur Mostafa Habibi Maryam Safa Stability and Dynamics of Viscoelastic Moving Rayleigh Beams with an Asymmetrical Distribution of Material Parameters Symmetry axially functionally graded materials Rayleigh beams axially moving systems stability map critical velocity contour |
| title | Stability and Dynamics of Viscoelastic Moving Rayleigh Beams with an Asymmetrical Distribution of Material Parameters |
| title_full | Stability and Dynamics of Viscoelastic Moving Rayleigh Beams with an Asymmetrical Distribution of Material Parameters |
| title_fullStr | Stability and Dynamics of Viscoelastic Moving Rayleigh Beams with an Asymmetrical Distribution of Material Parameters |
| title_full_unstemmed | Stability and Dynamics of Viscoelastic Moving Rayleigh Beams with an Asymmetrical Distribution of Material Parameters |
| title_short | Stability and Dynamics of Viscoelastic Moving Rayleigh Beams with an Asymmetrical Distribution of Material Parameters |
| title_sort | stability and dynamics of viscoelastic moving rayleigh beams with an asymmetrical distribution of material parameters |
| topic | axially functionally graded materials Rayleigh beams axially moving systems stability map critical velocity contour |
| url | https://www.mdpi.com/2073-8994/12/4/586 |
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