Size Dependent Nonlinear Secondary Resonance of a Damped Micro/Nano Beam with initial Axial Load in Temperature Field
Publish place: 25th Annual Conference of Mechanical Engineering
Publish Year: 1396
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
ISME25_048
تاریخ نمایه سازی: 13 شهریور 1396
Abstract:
In the present paper, the nonlinear super-harmonic and subharmonicresonance of the forced vibration of a dampedpre-loaded clamped-clamped micro/nano Euler Bernoullibeam in the temperature field is studied using the modifiedstrain gradient theory. Using Himlton’s Principle and theDiscrete Galerkin’s Method (DGM), the nonlineargoverning equation for the vibration of the micro/nanobeam is derived. The Multiple Scale Method (MMS) is thenutilized to solve the governing equation analytically andobtain the frequency-response equation. The effect ofnonlinearity, three length scale parameters, excitationamplitude, damping, temperature change and the pre-stressaxial load on the response is illustrated and the results areanalyzed.
Keywords:
Super-harmonic - Sub-harmonic - ModifiedStrain Gradient – Multiple Scale Method – Nonlinear
Authors
Soroush Sepehri
M.Sc. student, Department of Solid Mechanics Engineering, School of Mechanical Engineering, Shiraz University, Engineering Faculty No.۴ - Mola Sadra St., Shiraz, Iran
Hossein Mohammadi
Assistant Professor, Department of Solid Mechanics Engineering, School of Mechanical Engineering, Shiraz University, Engineering Faculty No.۴ - Mola Sadra St., Shiraz, Iran