On the Effect of Functionally Graded Materials on Resonances of Rotating Beams
Radially rotating beams attached to a rigid stem occur in several important engineering applications. Some examples include helicopter blades, turbine blades and certain aerospace applications. In most studies the beams have been treated as homogeneous. Here, with a goal of system improvement, non-h...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2012-0673 |
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| _version_ | 1832561283187081216 |
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| author | Arnaldo J. Mazzei Jr. |
| author_facet | Arnaldo J. Mazzei Jr. |
| author_sort | Arnaldo J. Mazzei Jr. |
| collection | DOAJ |
| description | Radially rotating beams attached to a rigid stem occur in several important engineering applications. Some examples include helicopter blades, turbine blades and certain aerospace applications. In most studies the beams have been treated as homogeneous. Here, with a goal of system improvement, non-homogeneous beams made of functionally graded materials are explored. The effects on the natural frequencies of the system are investigated. Euler-Bernoulli theory, including an axial stiffening effect and variations of both Young's modulus and density, is employed. An assumed mode approach is utilized, with the modes taken to be beam characteristic orthogonal polynomials. Results are obtained via Rayleigh-Ritz method and are compared for both the homogeneous and non-homogeneous cases. It was found, for example, that allowing Young's modulus and density to vary by approximately 2.15 and 1.15 times, respectively, leads to an increase of 23% in the lowest bending rotating natural frequency of the beam. |
| format | Article |
| id | doaj-art-578e908b11444c15bfa0b3c122d3ddd4 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-578e908b11444c15bfa0b3c122d3ddd42025-02-03T01:25:30ZengWileyShock and Vibration1070-96221875-92032012-01-011961315132610.3233/SAV-2012-0673On the Effect of Functionally Graded Materials on Resonances of Rotating BeamsArnaldo J. Mazzei Jr.0C. S. Mott Engineering and Science Center, Department of Mechanical Engineering, Kettering University, Flint, MI, USARadially rotating beams attached to a rigid stem occur in several important engineering applications. Some examples include helicopter blades, turbine blades and certain aerospace applications. In most studies the beams have been treated as homogeneous. Here, with a goal of system improvement, non-homogeneous beams made of functionally graded materials are explored. The effects on the natural frequencies of the system are investigated. Euler-Bernoulli theory, including an axial stiffening effect and variations of both Young's modulus and density, is employed. An assumed mode approach is utilized, with the modes taken to be beam characteristic orthogonal polynomials. Results are obtained via Rayleigh-Ritz method and are compared for both the homogeneous and non-homogeneous cases. It was found, for example, that allowing Young's modulus and density to vary by approximately 2.15 and 1.15 times, respectively, leads to an increase of 23% in the lowest bending rotating natural frequency of the beam.http://dx.doi.org/10.3233/SAV-2012-0673 |
| spellingShingle | Arnaldo J. Mazzei Jr. On the Effect of Functionally Graded Materials on Resonances of Rotating Beams Shock and Vibration |
| title | On the Effect of Functionally Graded Materials on Resonances of Rotating Beams |
| title_full | On the Effect of Functionally Graded Materials on Resonances of Rotating Beams |
| title_fullStr | On the Effect of Functionally Graded Materials on Resonances of Rotating Beams |
| title_full_unstemmed | On the Effect of Functionally Graded Materials on Resonances of Rotating Beams |
| title_short | On the Effect of Functionally Graded Materials on Resonances of Rotating Beams |
| title_sort | on the effect of functionally graded materials on resonances of rotating beams |
| url | http://dx.doi.org/10.3233/SAV-2012-0673 |
| work_keys_str_mv | AT arnaldojmazzeijr ontheeffectoffunctionallygradedmaterialsonresonancesofrotatingbeams |