Shueei-Muh Lin1
CMES-Computer Modeling in Engineering & Sciences, Vol.43, No.1, pp. 73-90, 2009, DOI:10.3970/cmes.2009.043.073
Abstract In this study, the mathematical model of a moving beam is established. This model is composed of a governing differential equation and three homogenous boundary conditions and one non-homogenous boundary condition including a time-dependent inertia force and a nonlinear active control force. Obviously, a moving mass problem with nonlinear and time dependent boundary condition is very complicated. One solution method is here developed to derive the exact solution for this system. By taking a change of dependent variable with a shifting function the original system is transformed to be a system composed of one non-homogeneous governing differential equation and four… More >
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