Generate orthogonal polynomials using Gram–Schmidt process

Generate orthogonal polynomials using Gram–Schmidt process

Orthogonal polynomials are used in the Rayleigh- Ritz method to find the natural frequencies. In Rayleigh–Ritz method the orthogonalization of the polynomials by the Gram–Schmidt process results in a numerically stable process, higher converging rates and precise solutions for the higher modes.