An Analysis of Gas Metal Arc Welding Using the Lyapunov Exponent

Abstract

The characteristics of chaos are unique to the technique of gas metal arc welding (GMAW), which can be safely classified as being a nonlinear process. In this article, salient aspects relevant to the development and use of computational technique to accurately calculate the maximum Lyapunov exponent of the welding processes for different parameters is presented and discussed. The maximum Lyapunov exponent is then used to evaluate stability of the welding process while concurrently aiding in the selection of the welding parameters. Careful analysis of the results reveals overall chaos to exist in the gas metal arc welding process for the different droplet transfer modes. Overall stability of the welding process is related to the chaos that is generated and exists. The maximum Lyapunov exponent can be safely used as a valid criterion for evaluating the stability of the welding process. This aids in the selection of an optimized welding parameter for the welding process to form a weld bead that has both quality and integrity.

Secure Communication Based on Hyperchaotic Underactuated Projective Synchronization

“…Chaotic and hyperchaotic systems have been used in most diverse contexts, including nonlinear identification [27]- [29], observation and control [30], [31], economy [32], [33], welding [34], [35], and secure communication [11], [21], [36], [37], [39]- [42]. In particular, chaos-based cryptography is a very active research topic in the literature, which is motivated by the pseudo-random behavior observed in chaotic systems.…”

Uma Metodologia para Análise da Distribuição de Contagem dos Picos de Tensão de Reignição para Avaliação da Estabilidade do Processo GMAW Curto-Circuito

“…A estabilidade dos processos de soldagem a arco elétrico tem sido avaliada por diferentes métodos [1]. Emissão acústica [2], avaliação dinâmica via ciclogramas [3], decomposição de sinais [4] e aplicação do expoente de Lyapunov [5] são exemplos de métodos aplicados ao estudo da estabilidade. Outros métodos adotam a avaliação dos sinais de corrente de soldagem e tensão do arco, tendo a estatística um importante papel como ferramenta de análise [6][7][8].…”

Novel stability evaluation for short circuiting transfer based on features of input power

“…Zheng et al 9 and Fan et al 10 used waveforms of welding electrical signals and high speed camera to judge the stability of the welding process. In 2013, Li et al 11 proved that maximum Lyapunov exponent of electrical signal can be used to judge the stability of the welding process.…”