Exact solutions for free longitudinal vibration of stepped non-uniform rods

@inproceedings{Li2000ExactSF,
  title={Exact solutions for free longitudinal vibration of stepped non-uniform rods},
  author={Qian Shu Li},
  year={2000}
}
Abstract In this paper, the function for describing the distribution of mass of a non-uniform rod is arbitrary, and the distribution of longitudinal stiffness is expressed as a functional relation with the mass distribution and vice versa. The governing differential equations for free longitudinal vibration of rods with variable cross-section are reduced Bessel's equations or other analytically solvable differential equations by selecting suitable expressions, such as power functions and… CONTINUE READING

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