On the Analysis of FGM Beams: FEM with Innovative Element

سال انتشار: 1395
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 271

فایل این مقاله در 17 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_JSMA-8-2_009

تاریخ نمایه سازی: 12 اسفند 1398

چکیده مقاله:

This paper aims at presenting a new efficient element for free vibration and instability analysis of Axially Functionally Graded Materials (FGMs) non-prismatic beams using Finite Element Method (FEM). Using concept of Basic Displacement Functions (BDFs), two- node element extends  to three-node element for obtaining much more exact results using FEM. First, BDFs are introduced and computed using energy method such as unit-dummy load method. Afterward, new efficient shape functions are developed in terms of BDFs during the procedure based on the mechanical behavior of the element in which presented shape functions benefit generality and accuracy from stiffness and force method, respectively. Finally, deriving structural matrices of the beam with respect to new shape functions; free vibration and instability analysis of the FGM beam are studied using finite element method for all types of AFGM beams and the convergence of FEM has been studied. The results from both free vibration and instability analysis are in perfect agreement with those of previously published.

کلیدواژه ها:

Axially functionally graded materials (AFGM) ، Finite element method (FEM) ، Basic displacement functions (BDFs) ، Free vibration ، Instability analysis

نویسندگان

M Zakeri

School of Civil Engineering, College of Engineering, University of Tehran

A Modarakar Haghighi

School of Civil Engineering, College of Engineering, University of Tehran----Centre of Numerical Methods in Engineering, University of Tehran

R Attarnejad

School of Civil Engineering, College of Engineering, University of Tehran

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 :
  • Chakraborty A., Gopalakrishnan S., Reddy J.N., 2003, A new beam ...
  • Carrera E., Brischetto S., Robaldo A., 2008, Variable kinematic model ...
  • Giunta G., Belouettar S., Carrera E., 2010, Analysis of FGM ...
  • Şimşek M., 2010, Vibration analysis of a functionally graded beam ...
  • Elishakoff I., Becquet R., 2000, Closed-form solutions for natural frequencies ...
  • Calio I., Elishakoff I., 2005, Closed-form solutions for axially graded ...
  • Bequet R., Elishakoff I., 2001, Class of analytical closed-form polynomial ...
  • Calio I., Elishakoff I., 2004, Closed-form trigonometric solutions for inhomogeneous ...
  • Elishakoff I., Candan S., 2001, Apparently first closed-form solution for ...
  • Calio I., Elishakoff I., 2004, Can a trigonometric function serve ...
  • Elishakoff I., 2001, Inverse buckling problem for inhomogeneous columns, International ...
  • Elishakoff I., Becquet R., 2000, Closed-form solutions for natural frequencies ...
  • Becquet R., Elishakoff I., 2001, Class of analytical closed-form polynomial ...
  • Guede Z., Elishakoff I., 2001, Apparently the first closed-form solution ...
  • Elishakoff I., Guede Z., 2001, A remarkable nature of the ...
  • Elishakoff I., 2001, Euler’s problem revisited: 222 years later, Meccanica ...
  • Elishakoff I., Guede Z., 2001, Novel closed-form solutions in buckling ...
  • Elishakoff I., Johnson V., 2005, Apparently the first closed-form solution ...
  • Elishakoff I., Pentaras D., 2006, Apparently the first closed-form solution ...
  • Wu L., Wang Q.S., Elishakoff I., 2005, Semi-inverse for axially ...
  • Elishakoff I., Perez A., 2005, Design of a polynomially inhomogeneous ...
  • Elishakoff I., 2001, Some unexpected results in vibration of nonhomogeneous ...
  • Guede Z., Elishakoff I., 2001, A fifth-order polynomial that serves ...
  • Elishakoff I., Guede Z., 2004, Analytical polynomial solutions for vibrating ...
  • Huang Y., Li X.F.A., 2010, New approach for free vibration ...
  • Alshorbagy A.E., Eltaher M.A., Mahmoud F.F., 2011, Free vibration characteristics ...
  • Singh K.V., Li G., 2009, Buckling of functionally graded and ...
  • Shahba A., Rajasekaran S., 2012, Free vibration and stability of ...
  • Shahba A., Attarnejad R., Hajilar S., 2013, A mechanical-based solution ...
  • Zarrinzadeh H., Attarnejad R., Shahba A., 2012, Free vibration of ...
  • Shahba A., Attarnejad R., Zarrinzadeh H., 2013, Free Vibration Analysis ...
  • Shahba A., Attarnejad R., TavanaieMarvi M., Hajilar S., 2011, Free ...
  • Shahba A., Attarnejad R., Hajilara S., 2011, Free vibration and ...
  • Attarnejad R., 2010, Basic displacement functions in analysis of nonprismatic ...
  • نمایش کامل مراجع