Journal of Natural Disaster Science

THE NONLINEAR PILE PART 1 : WAVE PROPAGATION IN A FREE NONLINEAR ELASTIC PILE

Masanori IZUMI
Professor, Department of Architecture, Faculty of Engineering, Tohoku University
Yoshihiro SUGIMURA
Professor, Department of Architecture, Faculty of Engineering, Tohoku University
and
Songtao XUE
Graduate Student, Department of Architecture, Faculty of Engineering, Tohoku University

(Received 17 March, 1990 and in revised form 19 July, 1990)

Abstract

A nonlinear partial differential equation for axial wave propagation in a nonlinearly elastic pile with a circular cross section has been developed that takes into account the transverse displacement due to axial wave. A theoretical solution is derived that represents a solitary wave. The relation between this equation and the K-dV or MK-dV equation has been established and indicates a way of applying the Soliton Theory to earthquake engineering. Simulations for simple wave inputs are also shown.

Key words

nonlinear elastic pile, axial shock wave, solitary wave