We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Application of Modified Couple-Stress Theory to Nonlinear Vibration Analysis of Nanobeam with Different Boundary Conditions.
- Authors
Togun, Necla; Bağdatli, Süleyman M.
- Abstract
Purpose: In the present study, the nonlinear vibration analysis of a nanoscale beam with different boundary conditions named as simply supported, clamped-clamped, clamped-simple and clamped-free are investigated numerically. Methods: Nanoscale beam is considered as Euler-Bernoulli beam model having size-dependent. This non-classical nanobeam model has a size dependent incorporated with the material length scale parameter. The equation of motion of the system and the related boundary conditions are derived using the modified couple stress theory and employing Hamilton's principle. Multiple scale method is used to obtain the approximate analytical solution. Result: Numerical results by considering the effect of the ratio of beam height to the internal material length scale parameter, h/l and with and without the Poisson effect, υ are graphically presented and tabulated. Conclusion: We remark that small size effect and poisson effect have a considerable effect on the linear fundamental frequency and the vibration amplitude. In order to show the accuracy of the results obtained, comparison study is also performed with existing studies in the literature.
- Subjects
NONLINEAR analysis; STRAINS &; stresses (Mechanics); MULTIPLE scale method; NONLINEAR theories; HAMILTON'S principle function; HAMILTON-Jacobi equations; TIMOSHENKO beam theory
- Publication
Journal of Vibration Engineering & Technologies, 2024, Vol 12, Issue 4, p6979
- ISSN
2523-3920
- Publication type
Article
- DOI
10.1007/s42417-024-01294-3