Free vibration analysis of semi-rigid frames with elastic rotational restraints and inhomogeneous members
The present research deals with the free vibration analysis of functionally graded (FG) frames with semi-rigid connection and elastic supports. Flexibility of elastic supports and semi-rigid connection are modeled with linear rotational springs. Moreover, inhomogeneous members (FGM) are modeled as a...
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| Format: | Article |
| Language: | fas |
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Semnan University
2019-09-01
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| Series: | مجله مدل سازی در مهندسی |
| Subjects: | |
| Online Access: | https://modelling.semnan.ac.ir/article_4011_ed80d96ef2017ecb8fed33d6e2d5ec96.pdf |
| _version_ | 1797296568938790912 |
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| author | mohsen bambaeechee Morteza Hoseinalizadeh Toni |
| author_facet | mohsen bambaeechee Morteza Hoseinalizadeh Toni |
| author_sort | mohsen bambaeechee |
| collection | DOAJ |
| description | The present research deals with the free vibration analysis of functionally graded (FG) frames with semi-rigid connection and elastic supports. Flexibility of elastic supports and semi-rigid connection are modeled with linear rotational springs. Moreover, inhomogeneous members (FGM) are modeled as a power function. Accordingly, based on the Euler–Bernoulli beam theory an exact formulation for free vibration analysis of FGM frames with various boundary conditions is obtained in terms of the Bessel functions. In other words, explicit relations are available to find the natural frequency and vibrational modes of semi-rigid frames with inhomogeneous members and elastic rotational restraints. In this way, dynamic properties such as the natural frequency and vibrational modes of these structures with various boundary conditions can be found. Comparing the outcomes with other research demonstrating the accuracy and efficiency of the proposed formulation. Finally, the effects of various parameters such as flexibility of connection and elastic supports, and the functionally graded material on the free vibration response of the structures are investigated. |
| first_indexed | 2024-03-07T22:06:39Z |
| format | Article |
| id | doaj.art-ec7f98a6e7dc4bb5ad9a56795bc380eb |
| institution | Directory Open Access Journal |
| issn | 2008-4854 2783-2538 |
| language | fas |
| last_indexed | 2024-03-07T22:06:39Z |
| publishDate | 2019-09-01 |
| publisher | Semnan University |
| record_format | Article |
| series | مجله مدل سازی در مهندسی |
| spelling | doaj.art-ec7f98a6e7dc4bb5ad9a56795bc380eb2024-02-23T19:06:23ZfasSemnan Universityمجله مدل سازی در مهندسی2008-48542783-25382019-09-01175818720210.22075/jme.2019.15906.15774011Free vibration analysis of semi-rigid frames with elastic rotational restraints and inhomogeneous membersmohsen bambaeechee0Morteza Hoseinalizadeh Toni1Dept. of Civil Engineering, Faculty of Engineering, Quchan University of Technology, P. Box 94771-67335 Quchan, Iran.M. Sc. Student of Structural Eng., Faculty of Civil Eng., Quchan University of Technology, Quchan, IranThe present research deals with the free vibration analysis of functionally graded (FG) frames with semi-rigid connection and elastic supports. Flexibility of elastic supports and semi-rigid connection are modeled with linear rotational springs. Moreover, inhomogeneous members (FGM) are modeled as a power function. Accordingly, based on the Euler–Bernoulli beam theory an exact formulation for free vibration analysis of FGM frames with various boundary conditions is obtained in terms of the Bessel functions. In other words, explicit relations are available to find the natural frequency and vibrational modes of semi-rigid frames with inhomogeneous members and elastic rotational restraints. In this way, dynamic properties such as the natural frequency and vibrational modes of these structures with various boundary conditions can be found. Comparing the outcomes with other research demonstrating the accuracy and efficiency of the proposed formulation. Finally, the effects of various parameters such as flexibility of connection and elastic supports, and the functionally graded material on the free vibration response of the structures are investigated.https://modelling.semnan.ac.ir/article_4011_ed80d96ef2017ecb8fed33d6e2d5ec96.pdffree vibrationsemi-rigid framefunctionally graded material (fgm)elastic rotational restraintsnatural frequency |
| spellingShingle | mohsen bambaeechee Morteza Hoseinalizadeh Toni Free vibration analysis of semi-rigid frames with elastic rotational restraints and inhomogeneous members مجله مدل سازی در مهندسی free vibration semi-rigid frame functionally graded material (fgm) elastic rotational restraints natural frequency |
| title | Free vibration analysis of semi-rigid frames with elastic rotational restraints and inhomogeneous members |
| title_full | Free vibration analysis of semi-rigid frames with elastic rotational restraints and inhomogeneous members |
| title_fullStr | Free vibration analysis of semi-rigid frames with elastic rotational restraints and inhomogeneous members |
| title_full_unstemmed | Free vibration analysis of semi-rigid frames with elastic rotational restraints and inhomogeneous members |
| title_short | Free vibration analysis of semi-rigid frames with elastic rotational restraints and inhomogeneous members |
| title_sort | free vibration analysis of semi rigid frames with elastic rotational restraints and inhomogeneous members |
| topic | free vibration semi-rigid frame functionally graded material (fgm) elastic rotational restraints natural frequency |
| url | https://modelling.semnan.ac.ir/article_4011_ed80d96ef2017ecb8fed33d6e2d5ec96.pdf |
| work_keys_str_mv | AT mohsenbambaeechee freevibrationanalysisofsemirigidframeswithelasticrotationalrestraintsandinhomogeneousmembers AT mortezahoseinalizadehtoni freevibrationanalysisofsemirigidframeswithelasticrotationalrestraintsandinhomogeneousmembers |