Free Vibration Analysis of Nanoplates Made of Functionally Graded Materials Based On Nonlocal Elasticity Theory Using Finite Element Method

سال انتشار: 1397
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 326

فایل این مقاله در 16 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_JCAM-49-1_010

تاریخ نمایه سازی: 18 تیر 1398

چکیده مقاله:

In this paper, an analysis of free vibration in functionally graded nanoplate is presented. Third-order shear deformation plate theory is used to reach more accuracy in results. Small-scale effects are investigated using Eringen s nonlocal theory. The governing equations of motion are obtained by Hamilton s principle. It is assumed that the properties of nanoplates vary through their thicknesses according to a volume fraction power law distribution. The finite element method (FEM) is presented to model the functionally graded nanoplate and solve mathematical equations accurately. The finite element formulation for HSDT nanoplate is also presented. Natural frequencies of FG nanoplate with various boundary conditions are compared with available results in the literature. At the end some numerical results are presented to evaluate the influence of different parameters, such as power law index, nonlocal parameter, aspect ratio and aspect of length to thickness of nanoplate. In addition, all combinations of simply supported and clamped boundary conditions are considered.

نویسندگان

Ali Zargaripoor

School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran

Alireza Daneshmehr

School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran

Imman Isaac Hosseini

School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran

Amir Rajabpoor

School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran

مراجع و منابع این مقاله:

لیست زیر مراجع و منابع استفاده شده در این مقاله 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 مقاله لینک شده اند :
  • T. Aksencer, M. Aydogdu, Levy type solution method for vibration ...
  • R. Ansari, R. Rajabiehfard, B. Arash, Nonlocal finite element model ...
  • S. H. Hashemi, A. T. Samaei, Buckling analysis of micro/nanoscale ...
  • S. Narendar, Buckling analysis of micro-/nano-scale plates based on two-variable ...
  • A. Daneshmehr, A. Rajabpoor, A. Hadi, Size dependent free vibration ...
  • A. BAKHSHESHY, K. KHORSHIDI, Free Vibration of Functionally Graded Rectangular ...
  • S. Hosseini-Hashemi, H. R. D. Taher, H. Akhavan, M. Omidi, ...
  • M. Zare, R. Nazemnezhad, S. Hosseini-Hashemi, Natural frequency analysis of ...
  • F. Bounouara, K. H. Benrahou, I. Belkorissat, A. Tounsi, A ...
  • H. Salehipour, H. Nahvi, A. Shahidi, Exact closed-form free vibration ...
  • I. Belkorissat, M. S. A. Houari, A. Tounsi, E. Bedia, ...
  • R. Ansari, M. Ashrafi, T. Pourashraf, S. Sahmani, Vibration and ...
  • M. Hosseini, A. Jamalpoor, Analytical solution for thermomechanical vibration of ...
  • R. Ansari, M. F. Shojaei, A. Shahabodini, M. Bazdid-Vahdati, Three-dimensional ...
  • R. Aghababaei, J. Reddy, Nonlocal third-order shear deformation plate theory ...
  • R. B. Bouiadjra, E. Bedia, A. Tounsi, Nonlinear thermal buckling ...
  • N.-T. Nguyen, D. Hui, J. Lee, H. Nguyen-Xuan, An efficient ...
  • A. Daneshmehr, A. Rajabpoor, Stability of size dependent functionally graded ...
  • A. Ghorbanpour Arani, H. Baba Akbar Zarei, E. Haghparast, Application ...
  • Refined plate theory for free vibration analysis of FG nanoplates using the nonlocal continuum plate model [مقاله ژورنالی]
  • H. Raissi, M. Shishehsaz, S. Moradi, Applications of higher order ...
  • M. H. Ghayesh, H. Farokhi, A. Gholipour, M. Tavallaeinejad, Nonlinear ...
  • M. Baghani, M. Mohammadi, A. Farajpour, Dynamic and stability analysis ...
  • M. H. Ghayesh, H. Farokhi, A. Gholipour, Oscillations of functionally ...
  • N. Kordani, A. Fereidoon, M. Divsalar, A. Farajpour, Influence of ...
  • A. Farajpour, A. Rastgoo, Influence of carbon nanotubes on the ...
  • M. Hosseini, H. H. Gorgani, M. Shishesaz, A. Hadi, Size-Dependent ...
  • M. Hosseini, M. Shishesaz, K. N. Tahan, A. Hadi, Stress ...
  • M. Z. Nejad, A. Rastgoo, A. Hadi, Effect of exponentially-varying ...
  • M. Z. Nejad, A. Hadi, Eringen s non-local elasticity theory ...
  • M. Z. Nejad, A. Hadi, Non-local analysis of free vibration ...
  • M. Z. Nejad, A. Hadi, A. Farajpour, Consistent couple-stress theory ...
  • M. Z. Nejad, A. Hadi, A. Rastgoo, Buckling analysis of ...
  • M. Z. Nejad, A. Rastgoo, A. Hadi, Exact elasto-plastic analysis ...
  • M. Shishesaz, M. Hosseini, K. N. Tahan, A. Hadi, Analysis ...
  • A. Hadi, M. Z. Nejad, A. Rastgoo, M. Hosseini, Buckling ...
  • A review of functionally graded thick cylindrical and conical shells [مقاله ژورنالی]
  • A. Hadi, M. Z. Nejad, M. Hosseini, Vibrations of three-dimensionally ...
  • J. N. Reddy, A simple higher-order theory for laminated composite ...
  • H.-S. Shen, Nonlinear bending response of functionally graded plates subjected ...
  • A. C. Eringen, 2002, Nonlocal continuum field theories, Springer Science ...
  • S. Tajalli, M. M. Zand, M. Ahmadian, Effect of geometric ...
  • S. Natarajan, S. Chakraborty, M. Thangavel, S. Bordas, T. Rabczuk, ...
  • نمایش کامل مراجع