Geometrically Nonlinear Analysis of Functionally Graded Timoshenko Curved Beams with Variable Curvatures
In this paper, geometrically nonlinear analysis of functionally graded curved beams with variable curvatures based on Timoshenko beam theory is presented. Considering the axial extension and the transversal shear deformation, geometrically nonlinear governing equations for the FGM curved beams with...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2019/6204145 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562155415666688 |
|---|---|
| author | Ze-Qing Wan Shi-Rong Li Hong-Wei Ma |
| author_facet | Ze-Qing Wan Shi-Rong Li Hong-Wei Ma |
| author_sort | Ze-Qing Wan |
| collection | DOAJ |
| description | In this paper, geometrically nonlinear analysis of functionally graded curved beams with variable curvatures based on Timoshenko beam theory is presented. Considering the axial extension and the transversal shear deformation, geometrically nonlinear governing equations for the FGM curved beams with variable curvatures subjected to thermal and mechanical loads are formulated. Material properties of the curved beams are assumed to vary arbitrarily in the thickness direction and be independent on the temperature change. By using the numerical shooting method to solve the coupled ordinary differential equations, the nonlinear response of static thermal bending of a FGM semielliptic beams subjected to transversely nonuniform temperature rise is obtained numerically. The effects of material gradient, shear deformation, and temperature rise on the response of the curved beam are discussed in detail. Nonlinear bending of a closed FGM elliptic structure subjected to two pinching concentrated loads is also analyzed. This paper presents some equilibrium paths and configurations of the elliptic curved beam for different pinching concentrated loads. |
| format | Article |
| id | doaj-art-972ccc2fa416405c98b777e48474d437 |
| institution | Kabale University |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-972ccc2fa416405c98b777e48474d4372025-02-03T01:23:18ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422019-01-01201910.1155/2019/62041456204145Geometrically Nonlinear Analysis of Functionally Graded Timoshenko Curved Beams with Variable CurvaturesZe-Qing Wan0Shi-Rong Li1Hong-Wei Ma2College of Civil Science and Engineering, Yangzhou University, Yangzhou, ChinaCollege of Civil Science and Engineering, Yangzhou University, Yangzhou, ChinaCollege of Civil Science and Engineering, Yangzhou University, Yangzhou, ChinaIn this paper, geometrically nonlinear analysis of functionally graded curved beams with variable curvatures based on Timoshenko beam theory is presented. Considering the axial extension and the transversal shear deformation, geometrically nonlinear governing equations for the FGM curved beams with variable curvatures subjected to thermal and mechanical loads are formulated. Material properties of the curved beams are assumed to vary arbitrarily in the thickness direction and be independent on the temperature change. By using the numerical shooting method to solve the coupled ordinary differential equations, the nonlinear response of static thermal bending of a FGM semielliptic beams subjected to transversely nonuniform temperature rise is obtained numerically. The effects of material gradient, shear deformation, and temperature rise on the response of the curved beam are discussed in detail. Nonlinear bending of a closed FGM elliptic structure subjected to two pinching concentrated loads is also analyzed. This paper presents some equilibrium paths and configurations of the elliptic curved beam for different pinching concentrated loads.http://dx.doi.org/10.1155/2019/6204145 |
| spellingShingle | Ze-Qing Wan Shi-Rong Li Hong-Wei Ma Geometrically Nonlinear Analysis of Functionally Graded Timoshenko Curved Beams with Variable Curvatures Advances in Materials Science and Engineering |
| title | Geometrically Nonlinear Analysis of Functionally Graded Timoshenko Curved Beams with Variable Curvatures |
| title_full | Geometrically Nonlinear Analysis of Functionally Graded Timoshenko Curved Beams with Variable Curvatures |
| title_fullStr | Geometrically Nonlinear Analysis of Functionally Graded Timoshenko Curved Beams with Variable Curvatures |
| title_full_unstemmed | Geometrically Nonlinear Analysis of Functionally Graded Timoshenko Curved Beams with Variable Curvatures |
| title_short | Geometrically Nonlinear Analysis of Functionally Graded Timoshenko Curved Beams with Variable Curvatures |
| title_sort | geometrically nonlinear analysis of functionally graded timoshenko curved beams with variable curvatures |
| url | http://dx.doi.org/10.1155/2019/6204145 |
| work_keys_str_mv | AT zeqingwan geometricallynonlinearanalysisoffunctionallygradedtimoshenkocurvedbeamswithvariablecurvatures AT shirongli geometricallynonlinearanalysisoffunctionallygradedtimoshenkocurvedbeamswithvariablecurvatures AT hongweima geometricallynonlinearanalysisoffunctionallygradedtimoshenkocurvedbeamswithvariablecurvatures |