Bending Analysis of Functionally Graded Nanobeam Using Chebyshev Pseudospectral Method

Static performance of functionally graded cantilever nanobeams exposed to lateral and axial loads from the end was examined by applying Pseudospectral Chebyshev Method. A solution is given for bending analysis using Euler-Bernoulli beam theory. The nonlocal elasticity theory first introduced Eringen used represent effect on a small scale. Using aforementioned theory, governing differential equations phenomenon are reproduced. It supposed that modulus changes exponentially in x-axis direction, except values taken as constant. exponential change material properties may not allow analytical problems be solved with known methods. Therefore, numerical approach inevitable problem.