ورود
مقالات فارسیISIکنفرانسهاژورنالها

Analysis of Free Vibration of Porous Power-law and Sigmoid Functionally Graded Sandwich Plates by the R-functions Method

محل انتشار: مجله مکانیک کاربردی و محاسباتی، دوره: 9، شماره: 4
سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 72

فایل این مقاله در 12 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:
https://civilica.com/doc/1756232

شناسه ملی سند علمی:

JR_JACM-9-4_019

تاریخ نمایه سازی: 19 شهریور 1402

چکیده مقاله:

Investigation of free vibration of porous power and sigmoid-law sandwich functionally graded (FG) plates with different boundary conditions is presented in this paper. The FG sandwich plate includes three layers. The face layers are fabricated of functionally graded material (FGM) and middle layer (core) is isotropic (ceramic). Imperfect sigmoid FG sandwich plates with even and linear-uneven porosities and nonporous core layer are studied. Developed approach has been realized in the framework of a refined theory of the first-order shear deformation theory (FSDT) using variational methods and the R-functions theory. The analytical expressions are obtained for calculating the elastic characteristics with the assumption that the values of Poisson's ratio are the same for constituent FGM materials. For rectangular plates, the obtained results are compared with known results and a good agreement is obtained. Vibration analysis of a complex-shaped porous sandwich plate made of FGM has been performed. The effect of various parameters on the dynamic behavior of the plate, such as the type and values of porosity coefficients, power index, lay-up scheme, types of FGM, has been studied.

کلیدواژه ها:

power-law ، sigmoid-law ، Porosity ، Free vibration ، functionally graded sandwich plates ، the R-functions theory ، variational Ritz method

نویسندگان

Lidiya Kurpa

Department of Applied Mathematics, National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, Ukraine

Tetyana Shmatko

Department of Higher Mathematics, National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, Ukraine

Jan Awrejcewicz

Department of Automation, Biomechanical and Mechatronics, Lodz University of Technology, Lodz, Poland

Galina Timchenko

Department of Applied Mathematics, National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, Ukraine

Iryna Morachkovska

Department of Applied Mathematics, National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, Ukraine

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 :
  • Thai, H.-T., Kim, S.-E., A review of theories for the ...
  • Swaminathan, K., Naveenkumar, D.T., Zenkour, A.M, Carrera, E., Stress, vibration ...
  • Kumar, Y., The Rayleigh-Ritz method for linear dynamic, static and ...
  • Sofiyev, A.H., Review of research on the vibration and buckling ...
  • Malekzadeh, P., Shojaee, M., A unified formulation for free vibration ...
  • Zenkour, A.M., A comprehensive analysis of functionally graded sandwich plates: ...
  • Zenkour, A.M., The refined sinusoidal theory for FGM plates on ...
  • Meiche, N.E., Tounsi, A., Ziane, N., Mechab, I., Bedia, E.A.A., ...
  • Bessaim, A., Houari, M.S., Tounsi, A., Mahmoud, S.R., Bedia, E.A.A., ...
  • Meksi, R., Benyoucef, S., Mahmoudi, A., Tounsi, A., Adda Bedia, ...
  • Ton-That, H., A new C۰ third-order shear deformation theory for ...
  • Nam, P.V., Kien, N.D., Free vibration of FG sandwich plates ...
  • Nguyen, T.-K., Vo, T.-P., Thai, H.-T., Vibration and buckling analysis ...
  • Thai, H.T., Nguyen, T.K., Vo, T.P., Lee, J., Analysis of ...
  • Thai, H.T., Choi, D.H., A simple first-order shear deformation theory ...
  • Amabili, M., Nonlinear vibrations and stability of laminated shells using ...
  • Tan-Van, V., Ngoc-Hung, N., Khosravifard, A., Hematiyan, M.R., Tanaka, S., ...
  • Vinh, P.V., Huy, L.Q., Finite element analysis of functionally graded ...
  • Shahsavari, D., Shahsavari, M., Li, L., Karami, B., A novel ...
  • Zenkor, AM., A quasi-۳D refined theory for functionally graded single-layered ...
  • Daikh. A.A., Zenkour A.M., Free vibration and buckling of porous ...
  • Xiang, S., Kang, G-W., Yang, M-S., Zhao, Y., Natural frequencies ...
  • Gupta, A., Talha, M., Influence of porosity on the flexural ...
  • Akbas, S.D., Vibration and static analysis of functionally graded porous ...
  • Wu, D., Liu, A., Huang, Y., Huang, Y., Pi, Y., ...
  • Chen, D., Yang, J., Kitipornchai, S., Buckling and bending analyses ...
  • Rahmani, M., Mohammadi, Y., Kakavand, F., Vibration analysis of different ...
  • Zhang, Y., Jin, G., Chen, M., Ye, T., Yang, C., ...
  • Hadji, L., Avcar, M., Free Vibration Analysis of FG Porous ...
  • Hadji, L., Avcar, M., Natural frequency analysis of imperfect FG ...
  • Sobhani, E., Avcar, M., Natural frequency analysis of imperfect GNPRN conical ...
  • Rvachev, V.L., The R-functions theory and its applications, Nauk. Dumka, ...
  • Kurpa, L.V., The R-functions method for solving linear bending and ...
  • Awrejcewicz, J., Kurpa, L., Shmatko, T., Analysis of geometrically nonlinear ...
  • Kurpa, L.V., Shmatko, T.V., Awrejcewicz, J., Linear and nonlinear free ...
  • Kurpa, L.V., Shmatko, T.V., Investigation of free vibrations and stability ...
  • Awrejcewicz, J., Kurpa, L., Shmatko, T., Application of the R-functions ...
  • Kurpa, L., Shmatko, T., Parametric vibrations of axially compressed functionally ...
  • Shmatko, T., Kurpa, L., Awrejcewicz, J., Dynamic analysis of functionally ...
  • Kurpa, L., Shmatko, T., Awrejcewicz, J., Nonlinear Vibration of Functionally ...
  • Kurpa, L., Shmatko, T., Timchenko, G., Nonlinear Dynamic Analysis of ...
  • Shen, H.S., Functionally Graded Materials of Plates and Shells, CRC ...
    • نمایش کامل مراجع