The Excitation Condition Analysis And Propagation Characteristics Test Research Of Solitary Wave In One-dimensional Particle Chain

A solitary wave is a collection of energy.It is a local wave formed by the dynamic balance of nonlinear and dispersion effects in a large number of object systems.It is one of the important contents of nonlinear scientific research.Due to the high-energy,high-fidelity and low attenuation characteristics of solitary waves,solitary wave theory is introduced in the field of ultrasonic internal processing to increase the instantaneous accumulation energy of ultrasonic cavitation,to meet the threshold condition of acoustic cavitation of metal droplets,and to achieve alignment.Inner processing of molten metal droplets in a wave suspension environment.Therefore,further research on the excitation,collision and propagation of solitary waves has very important practical application value.This paper uses a one-dimensional particle chain as a research model,using the Hertzian contact theory and binary collision approximation and other theoretical,simulation and experimental methods to study the characteristics of the excitation,propagation and collision of solitary waves in the particle chain.The research content of the full text is arranged as follows:(1)Theoretical analysis of the excitation of solitary waves in one-dimensional particle chains.In this paper,starting from the study of the interaction between particle elasticity and centripetal collision,the theoretical analysis of the excitation speed and collision conditions of the discrete particle chain is carried out,and the optimal impact speed value range of the excited ball is obtained.Then,according to the theory of Hertz's law,the dynamic analysis of the particles is carried out from the force and deformation state of the particles.Finally,based on the important theories of many researchers,the basic conditions for the existence of solitary waves in the particle chain system are obtained.(2)Analysis of collision propagation characteristics of solitary waves in particle chains.Studying and analyzing two approximate methods of solitary wave propagation characteristics and their adaptability issues,through theoretical analysis,the solitary wave velocity,particle velocity,propagation time and inter-particle interaction force of solitary wave propagation and collision under the two theories are obtained.And other functional relationships.Through the simulation analysis of multiple particle chain systems,the adaptability analysis of the two approximate theories is realized.Based on the theory of KdV equation,COMSOL software is used to simulate and analyze the propagation characteristics of solitary waves,and to explore the influence changes of the amplitude,waveform,wave speed and propagation direction of solitary waves before,during and after the collision.Finally,with the aid of simulation software analysis,the propagation characteristics of two-phase solitary waves in discrete particle chains are analyzed.(3)Experimental research on solitary wave propagation characteristics.A solitary wave detection system device was designed,and a solitary wave collision test device platform was built.Through the optimized configuration and reasonable use of highspeed cameras,metal-piezoelectric sensing balls,single-chip microcomputers and piezoelectric vibration sensors,system errors are reduced,system detection capabilities are improved,and high-precision detection of solitary waves is achieved.By referring to the test data analysis of solitary waves and collision solitary waves,it is verified that the solitary waves produce phase advance phenomenon due to collision and collision.From the experimental measurement and analysis of solitary wave propagation and collision characteristics in the two large particle chain systems of odd and even chains,the difference of the solitary wave collision phase shift in the two particle chain systems is obtained,and the reason for the "difference" is analyzed.Seven experiments with different excitation speeds are used to explore the intrinsic relationship between solitary wave speed,amplitude,phase shift and excitation speed,and to realize the experimental research on the phase shift characteristics of solitary wave collision.