Study on Coupling Between Euler Beam and Nonlinear Solitary Wave Based on Cosserat Theory

摘要

This paper studies the coupling effect of Euler beams and nonlinear solitary waves based on the Cosserat theory. This theory introduces material characteristic size parameters to describe the size effect of the structure. The non-linear solitary waves are excited by the impact of a one-dimensional particle crystal chain on the structure, and the coupled differential equations of the particle chain and the Euler beam considering the size effect are established, and solved by the Runge-Kutta method. Moreover, this paper analyzes the characteristic information carried by the rebound solitary wave, and investigates the coupling mechanism and sensitivity of the Euler beam to the rebound solitary wave after considering the scale effect. The research results show that nonlinear solitary waves are sensitive to changes in the physical and geometric parameters of the structure within a certain range.