static analysis of triangular plates
نویسندگان
چکیده
this paper may be regarded as a new numerical method for the analysis of triangular thin plates using the natural area coordinates. previous studies on the solution of triangular plates with different boundary conditions are mostly based on the rayleigh-ritz principle which is performed in the cartesian coordinates. consequently, manipulation of the geometry and numerical calculation of the integrals are time consuming and tedious. in this paper a new approach is developed to analyze triangular plates by the ritz method, using interpolation functions in the area coordinates. the geometry is presented in a natural way by mapping a parent triangle and the integrals are evaluated analytically. in this approach, the convergence is always assured due to the completeness of interpolating polynomials. several examples are presented and the results are compared with other available data.
منابع مشابه
Static Analysis of Triangular Plates
This paper may be regarded as a new numerical method for the analysis of triangular thin plates using the natural area coordinates. Previous studies on the solution of triangular plates with different boundary conditions are mostly based on the Rayleigh-Ritz principle which is performed in the Cartesian coordinates. Consequently, manipulation of the geometry and numerical calculation of the int...
متن کاملStatic Analysis of Triangular Plates
This paper may be regarded as a new numerical method for the analysis of triangular thin plates using the natural area coordinates. Previous studies on the solution of triangular plates with different boundary conditions are mostly based on the Rayleigh-Ritz principle which is performed in the Cartesian coordinates. Consequently, manipulation of the geometry and numerical calculation of the int...
متن کاملstatic analysis of piezoelectric laminated composite plates
the levy-type analytical solution is employed for the problem of bending of cross-ply and antisymmetric angle-ply piezoelectric hybrid laminated plates with at least two simply supported opposite edges. the governing equations of equilibrium are derived in the framework of the first-order shear deformation plate theory. the equations are classified according to the crystallography type of piezo...
متن کاملVibration and Static Analysis of Functionally Graded Porous Plates
This research deals with free vibration and static bending of a simply supported functionally graded (FG) plate with the porosity effect. Material properties of the plate which are related to its change are position-dependent. Governing equations of the FG plate are obtained by using the Hamilton’s principle within first-order shear deformation plate theory. In solving the problem, the Navier s...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
روش های عددی در مهندسی (استقلال)جلد ۱۶، شماره ۲، صفحات ۵۱-۶۱
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023