Buckling and Nonlinear Vibration of Functionally Graded Porous Micro-beam Resting on Elastic Foundation
Publish place: Mechanics of Advanced Composite Structures، Vol: 9، Issue: 1
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
View: 245
This Paper With 14 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_MACS-9-1_007
تاریخ نمایه سازی: 22 فروردین 1401
Abstract:
The buckling and nonlinear free vibration problems of functionally graded porous (FGP) micro-beam resting on an elastic foundation are presented through the nonlocal strain gradient theory (NSGT) and the Euler-Bernoulli beam theory (EBT) with the von-Kármán’s geometrical nonlinearity. The micro-beam is made up of metal and ceramic in which the material properties are assumed to be varied continuously in the thickness direction through a simple exponential law. Two porosity distribution models, including even and uneven distributions, are considered. The governing equation of motion is derived by employing Hamilton’s principle. The analytical expressions of the critical buckling force and nonlinear frequency of the FGP micro-beam with simply supported (S-S) boundary conditions (BCs) are obtained by utilizing the Galerkin technique and the equivalent linearization method (ELM). The reliability of the obtained results has been checked. Effects of the power-law index, the porosity distribution factor, the length-thickness ratio, the material length scale parameter (MLSP), the nonlocal parameter (NP), and the coefficients of the elastic foundation on the buckling and nonlinear free vibration responses of the FGP micro-beam are investigated and discussed in this work.
Keywords:
Micro-beams , Nonlocal strain gradient theory , Functionally graded porous , Buckling , Nonlinear vibration
Authors
Van Hieu Dang
Department of Mechanics, Thai Nguyen University of Technology, Thainguyen, Vietnam
Thi Hoa Nguyen
Department of Mechanics, Thai Nguyen University of Technology, Thainguyen, Vietnam
مراجع و منابع این Paper:
لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :