Dynamic behaviour of rotating functionally graded Timoshenko beam via B-spline collocation method
The dynamic behaviour of a rotating Timoshenko functionally graded (FG) beam is investigated, with material properties varying along the height of the beam according to a power-law distribution. The study investigates how key parameters such as the power-law index, rotational speed, slenderness rati...
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| Format: | Article |
| Language: | English |
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University of West Bohemia
2025-06-01
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| Series: | Applied and Computational Mechanics |
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| Online Access: | https://acm.kme.zcu.cz/article/view/986 |
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| author | Chichkhede S. Mahapatra D. Sanyal S. Bhowmick S. |
| author_facet | Chichkhede S. Mahapatra D. Sanyal S. Bhowmick S. |
| author_sort | Chichkhede S. |
| collection | DOAJ |
| description | The dynamic behaviour of a rotating Timoshenko functionally graded (FG) beam is investigated, with material properties varying along the height of the beam according to a power-law distribution. The study investigates how key parameters such as the power-law index, rotational speed, slenderness ratio, and various functionally graded material (FGM) compositions affect the dynamic response of the beam. The governing equations, which incorporate shear deformation and rotary inertia effects, are formulated and solved using the B-spline collocation method. The results provide critical insights into how these parameters affect the natural properties of FG beams, contributing to optimization and development for the design of advanced rotating structures in engineering applications. |
| format | Article |
| id | doaj-art-0b237f0b3b724b9084eec8a049f1990d |
| institution | DOAJ |
| issn | 1802-680X 2336-1182 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | University of West Bohemia |
| record_format | Article |
| series | Applied and Computational Mechanics |
| spelling | doaj-art-0b237f0b3b724b9084eec8a049f1990d2025-08-20T02:43:25ZengUniversity of West BohemiaApplied and Computational Mechanics1802-680X2336-11822025-06-01191496810.24132/acm.2025.986Dynamic behaviour of rotating functionally graded Timoshenko beam via B-spline collocation methodChichkhede S.0Mahapatra D.1Sanyal S.2Bhowmick S.3National Institute of Technology Raipur, Department of Mechanical Engineering, Chhattisgarh, IndiaIndira Gandhi Krishi Vishwavidyalaya, Department of Agriculture Engineering, Raipur, IndiaNational Institute of Technology Raipur, Department of Mechanical Engineering, Chhattisgarh, IndiaNational Institute of Technology Raipur, Department of Mechanical Engineering, Chhattisgarh, IndiaThe dynamic behaviour of a rotating Timoshenko functionally graded (FG) beam is investigated, with material properties varying along the height of the beam according to a power-law distribution. The study investigates how key parameters such as the power-law index, rotational speed, slenderness ratio, and various functionally graded material (FGM) compositions affect the dynamic response of the beam. The governing equations, which incorporate shear deformation and rotary inertia effects, are formulated and solved using the B-spline collocation method. The results provide critical insights into how these parameters affect the natural properties of FG beams, contributing to optimization and development for the design of advanced rotating structures in engineering applications.https://acm.kme.zcu.cz/article/view/986dynamic analysistimoshenko rotating beamfunctionally graded beampower indexb-spline collocation method |
| spellingShingle | Chichkhede S. Mahapatra D. Sanyal S. Bhowmick S. Dynamic behaviour of rotating functionally graded Timoshenko beam via B-spline collocation method Applied and Computational Mechanics dynamic analysis timoshenko rotating beam functionally graded beam power index b-spline collocation method |
| title | Dynamic behaviour of rotating functionally graded Timoshenko beam via B-spline collocation method |
| title_full | Dynamic behaviour of rotating functionally graded Timoshenko beam via B-spline collocation method |
| title_fullStr | Dynamic behaviour of rotating functionally graded Timoshenko beam via B-spline collocation method |
| title_full_unstemmed | Dynamic behaviour of rotating functionally graded Timoshenko beam via B-spline collocation method |
| title_short | Dynamic behaviour of rotating functionally graded Timoshenko beam via B-spline collocation method |
| title_sort | dynamic behaviour of rotating functionally graded timoshenko beam via b spline collocation method |
| topic | dynamic analysis timoshenko rotating beam functionally graded beam power index b-spline collocation method |
| url | https://acm.kme.zcu.cz/article/view/986 |
| work_keys_str_mv | AT chichkhedes dynamicbehaviourofrotatingfunctionallygradedtimoshenkobeamviabsplinecollocationmethod AT mahapatrad dynamicbehaviourofrotatingfunctionallygradedtimoshenkobeamviabsplinecollocationmethod AT sanyals dynamicbehaviourofrotatingfunctionallygradedtimoshenkobeamviabsplinecollocationmethod AT bhowmicks dynamicbehaviourofrotatingfunctionallygradedtimoshenkobeamviabsplinecollocationmethod |