Título: Solution of Mass-Spring-Damper Fractional Systems using Caputo Derivative and Orthogonal Collocation
Autores: LIMA, J. V. C. F.; LOBATO, F. S.; STEFFEN JR, V.
Revista: Engineering Computations, 5(1), 1-19, 2021.
Resumo: In this contribution, the solution of Mass-Spring-Damper Systems in the fractional context by using Caputo derivative and Orthogonal Collocation Method is investigated. For this purpose, different case studies considering constant and periodic sources are evaluated. The dimensional consistency of the model is guaranteed by introducing an auxiliary parameter. The obtained results are compared with those found by using both the analytical solution and the predictor-corrector method of Adams–Bashforth–Moulton type. The influence of the fractional order on the mechanical system is evaluated. In general, the proposed methodology was able to solve a classical mechanical engineering problem with different characteristics.

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