The New Boundary Condition Effect on The Free Vibration Analysis of Micro-beams Based on The Modified Couple Stress Theory
Journal Title: International Research Journal of Applied and Basic Sciences - Year 2015, Vol 9, Issue 3
Abstract
Based on the modified couple stress theory, the free vibration behavior of micro scale Bernoulli-Euler cantilever beam carrying an added mass is analytically investigated. In this study the non-dimensional frequency equation for the clamped- free micro beam is obtained, using the variational methods and the most famous, Hamilton principle. The influence of the attached mass at the free end upon the first non-dimensional natural frequency is reported so that whit the increment of the mass attached to the micro beam, the non-dimensional natural frequency is decreasing. In the other case, the frequency shift for different values of the material mass ratio corresponded to the beam mass is investigated. It is remarkable that the different behavior of the micro beam is due to the weight- force and mass inertia of the attached mass during oscillation which is induced in a concentrate shape. Also comparison with the technical other article is done; showing the expected frequency shift.
Authors and Affiliations
Ahmad Ghanbari| Department of Engineering-Emerging Technologies, University of Tabriz, Tabriz, Iran, Alireza Babaei| Department of Mechanical Engineering, University of Tabriz, Tabriz, Iran
Keywords
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