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Free vibrations of tapered piles embedded partially in Winkler type foundations
The numerical methods for calculating the natural frequencies and the mode shapes of the tapered piles embedded partially in the Winkler type foundations are developed. The ordinary differential equation governing the free vibrations of such piles and the boundary conditions are derived, in which three types of linear tapered piles the with rectangular cross-sections i.e. breadth, depth and square tapers are considered. This equation subjected to the boundary conditions is solved numerically. The Runge-Kutta method and the determinant search method combined with Regula-Falsi method are used for integrating the differential equation and determining the eigenvalues(natural frequencies), respectively. In the numerical examples, the two lowest natural frequencies for six kind of end constraints are presented as the functions of four non-dimensional system parameters: the embedded length parameter, the foundation parameter, the section ratio, and the load parameter. The effects of taper types on the natural frequencies are reported. In addition, the typical mode shapes of free vibrations of piles are presented in the figure.
Free vibrations of tapered piles embedded partially in Winkler type foundations
The numerical methods for calculating the natural frequencies and the mode shapes of the tapered piles embedded partially in the Winkler type foundations are developed. The ordinary differential equation governing the free vibrations of such piles and the boundary conditions are derived, in which three types of linear tapered piles the with rectangular cross-sections i.e. breadth, depth and square tapers are considered. This equation subjected to the boundary conditions is solved numerically. The Runge-Kutta method and the determinant search method combined with Regula-Falsi method are used for integrating the differential equation and determining the eigenvalues(natural frequencies), respectively. In the numerical examples, the two lowest natural frequencies for six kind of end constraints are presented as the functions of four non-dimensional system parameters: the embedded length parameter, the foundation parameter, the section ratio, and the load parameter. The effects of taper types on the natural frequencies are reported. In addition, the typical mode shapes of free vibrations of piles are presented in the figure.
Free vibrations of tapered piles embedded partially in Winkler type foundations
KSCE J Civ Eng
Lee, Byoung Koo (author) / Jeong, Jin Seob (author) / Fan, Li Guang (author) / Jin, Tae Ki (author)
KSCE Journal of Civil Engineering ; 3 ; 195-203
1999-06-01
9 pages
Article (Journal)
Electronic Resource
English
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