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Warianty tytułu
Języki publikacji
Abstrakty
At the nano-scale, loads acting on a nanobeam and its material properties are likely to be not known precisely, i.e., uncertain. In the present paper, the deflection of a nanobeam subject to load and material uncertainties is studied by convex modeling of the uncertainties. The level of uncertainty is taken to be bounded and the maximum deflection corresponding to the worst-case of loading or material properties is obtained, that is, the uncertainties are determined so as to maximize the deflection. The sensitivity of the deflection to the uncertainty in the material properties is also investigated. Numerical results are given relating the level of uncertainty to maximum deflection.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
345--356
Opis fizyczny
Bibliogr. 34 poz., rys.
Twórcy
autor
- Department of Mechanical Engineering, Durban University of Technology, Durban, South Africa
autor
- Discipline of Mechanical Engineering, University of KwaZulu-Natal, Durban, South Africa
Bibliografia
- 1. Adali S., 2008, Variational principles for multi-walled carbon nanotubes undergoing buckling based on nonlocal elasticity theory, Physics Letters A, 372, 5701-5705
- 2. Adali S., 2011, Variational principles for vibrating carbon nanotubes modeled as cylindrical shells based on strain gradient nonlocal theory, Journal of Computational and Theoretical Nanoscience, 8,1954-1962
- 3. Adali S., Richter A., Verijenko V.E., 1995a, Minimum weight design of symmetric angle-ply laminates under multiple uncertain loads, Structural Optimization, 9, 89-95
- 4. Adali S., Richter A., Verijenko V.E., 1995b, Non-probabilistic modelling and design of sandwich plates subject to uncertain loads and initial deflections, International Journal of Engineering Science, 33, 855-866
- 5. Ansari R., Sahmani S., 2011, Bending behavior and buckling of nanobeams including surface stress effects corresponding to different beam theories, International Journal of Engineering Science, 49, 1244-1255
- 6. Ben-Haim Y., Elishakoff I., 1990, Convex Models of Uncertainty in Applied Mechanics, Elsevier Science Publishers, Amsterdam, The Netherlands.
- 7. Challamel N., Wang C.M., 2008, Small length scale effect in non-local cantilever beam: paradox solved, Nanotechnology, 19, 345703
- 8. Di Paola M., Failla G., Sofi A., Zingales M., 2011, A mechanically based approach to non-local beam theories, International Journal of Mechanical Science, 53, 676-687
- 9. Eltaher M.A., Emam S.A., Mahmoud F.F., 2013, Static and stability analysis of nonlocal functionally graded nanobeams, Composite Structures, 96, 82-88
- 10. Eringen A.C., 2002, Nonlocal Continuum Field Theories, Springer, New York
- 11. Fang C., Kumar A., Mukherjee S., 2011, A finite element analysis of single-walled carbon nanotube deformation, ASME Journal of Applied Mechanics, 78, 034502-1–034502-7
- 12. Fereidoon A., Rajabpour M., Hemmatian H., 2014, Elastic moduli of carbon nanotubes with new geometry based on FEM, Journal of Theoretical and Applied Mechanics, 52, to appear
- 13. Hosseini-Ara R., Mirdamadi H.R., Khademyzadeh H., 2012, Buckling analysis of short carbon nanotubes based on a novel Timoshenko beam model, Journal of Theoretical and Applied Mechanics, 50, 975-986
- 14. Hu J., Qiu Z., 2010, Non-probabilistic convex models and interval analysis method for dynamic response of a beam with bounded uncertainty, Applied Mathematical Modelling, 34, 725-734
- 15. Jiang C., Han X., Liu G.R., 2007, Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval, Computer Methods in Applied Mechanics and Engineering, 196, 4791-4800
- 16. Kalamkarov A.L., Georgiades A.V., Rokkam S.K., Veedu V.P., Ghasemi-Nejhad M.N., 2006, Analytical and numerical techniques to predict carbon nanotubes properties, International Journal of Solids and Structures, 43, 6832-6854
- 17. Kang Z., Luo Y., 2009, Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models, Computer Methods in Applied Mechanics and Engineering, 198, 3228-3238
- 18. Khajeansari A., Baradaran G.H., Yvonnet J., 2012, An explicit solution for bending of nanowires lying on Winkler-Pasternak elastic substrate medium based on the Euler-Bernoulli beam theory, International Journal of Engineering Science, 52,115-128
- 19. Li X.-F., Wang B.-L., Tang G.-J., Lee K.Y., 2012, Size effect in transverse mechanical behaviour of one-dimensional nanostructures, Physica E, Low-dimensional Systems and Nanostructures, 44, 207-214
- 20. Lu X., Zhong H., 2012, Mechanical property evaluation of single-walled carbon nanotubes by finite element modeling, Composites Part B: Engineering, 43, 1902-1913
- 21. Muc A., 2011, Modelling of carbon nanotubes behaviour with the use of a thin shell theory, Journal of Theoretical and Applied Mechanics, 49, 531-540
- 22. Pantelidis C.P., Ganzerli S., 1998, Design of trusses under uncertain loads using convex models, ASCE Journal of Structural Engineering, 124, 318-329
- 23. Radebe I.S., Adali S., 2013, Minimum weight design of beams against failure under uncertain loading by convex analysis, Journal of Mechanical Science and Technology, 27, 2071-2078
- 24. Radebe I.S., Adali S., 2014, Buckling and sensitivity analysis of nonlocal orthotropic nanoplates with uncertain material properties, Composites Part B: Engineering, 56, 840-846
- 25. Reddy J.N., 2007, Nonlocal theories for bending, buckling and vibration of beams, International Journal of Engineering Science, 45, 288-307
- 26. Reddy J.N., Pang S.D., 2008, Nonlocal continuum theories of beams for the analysis of carbon nanotubes, Journal of Applied Physics, 103, 023511
- 27. Roque C.M.C., Ferreira A.J.M., Reddy J.N., 2011, Analysis of Timoshenko nanobeams with a nonlocal formulation and meshless method, International Journal of Engineering Science, 49, 976-984
- 28. Scarpa F., Adhikari S., 2008, Uncertainty modeling of carbon nanotube terahertz oscillators, Journal of Non-Crystalline Solids, 354, 4151-4156
- 29. Thai H.-T., 2012, A nonlocal beam theory for bending, buckling, and vibration of nanobeams, International Journal of Engineering Science, 52, 56-64
- 30. Thai H.-T., Vo T.P., 2012, A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams, International Journal of Engineering Science, 54, 58-66
- 31. Wang C.M., Kitipornchai S., Lim C.W., Eisenberger M., 2008, Beam bending solutions based on nonlocal Timoshenko beam theory, ASCE Journal of Engineering Mechanics, 134, 475-481
- 32. Wang Q., Shindo Y., 2006, Nonlocal continuum models for carbon nanotubes subjected to static loading, Journal of Mechanics of Materials and Structures, 1, 663-680
- 33. Wang X., Wang L., Elishakoff I., Qiu Z., 2011, Probability and convexity concepts are not antagonistic, Acta Mechanica, 219, 45-64
- 34. Zhang Y.Y., Wang C.M., Challamel N., 2010, Bending, buckling, and vibration of micro/nanobeams by hybrid nonlocal beam model, ASCE Journal of Engineering Mechanics, 136, 562-574
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ee852404-f3bd-438c-9dcf-ca332764f009