February 8, 2023
Mashallah Matinfar

Mashallah Matinfar

Degree: Associate professor
Education: Ph.D in Applied Mathematics
Phone: 35302496
Faculty: Faculty of Mathematical Sciences


Title Application of Chebyshev tau method for bending analysis of elastically restrained edge functionally graded nano/micro-scaled sandwich beams, under non-uniform normal and shear loads
Type Article
Chebyshev tau method, Chebyshev polynomials, Spectral method, Micro/nano-sandwich beam, Non-uniform loads
Journal mathematical sciences
DOI 10.1007/s40096-019-00305-9
Researchers Mashallah Matinfar (First researcher) , Maryam Mahdavi Shirazi (Second researcher) , Mohammad Molla-Alipour (Third researcher)


In this study, for the first time, an approximate solution procedure based on the Chebyshev tau method (CTM) is developed for bending analysis of functionally graded nano/micro-scaled sandwich beams. The proposed approach has the advantage of decreasing the problem to the solution of a system of algebraic equations, which may then be solved by any numerical method. In the CTM, the solution is approximated via a truncated Chebyshev series expansion and the Chebyshev polynomials are used as the test function. Based on the proposed technique, sandwich beams with elastically restrained edges under arbitrary non-uniform distributed normal and shear loads can be analyzed. The effectiveness of the CTM is illustrated by comparison of the obtained results for various end supports with those extracted from the ABAQUS software. In each considered cases, the numerical results indicate that the proposed scheme is of high accuracy and is efficient for solving the ordinary differential equations and systems of them.