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The semi-inverse method was used to solve the inverse problem of the vibration of a symmetric rod with two elastic supports. We discuss when the linear density function of the symmetric rod with two elastic supports is a symmetric polynomial function how to construct the axial stiffness of the symmetric rod with two elastic supports for the same symmetric polynomial function, when the symmetric or...
We use the semi-inverse method to find the solutions to the dynamic equation of an inhomogeneous, functionally graded two-span beam with overhang. Here, the cross-sectional area of this beam is assumed to be constant, and the corresponding natural frequency is given. With both the fundamental mode and density given as polynomial functions in terms of a non-dimensional axial coordinate, we then determine...
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