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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-5pp.3576-3603

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Lin Chen, Yiding Wu, Xuan Zhou, and Guangfa Gao, "Generalized Wave Impedance Error Modeling in Variable-Geometry Waveguides: Mechanisms and Propagation Analysis," Mech. Solids. 60 (5), 3576-3603 (2025)
Year 2025 Volume 60 Number 5 Pages 3576-3603
DOI 10.1134/S0025654425601715
Title Generalized Wave Impedance Error Modeling in Variable-Geometry Waveguides: Mechanisms and Propagation Analysis
Author(s) Lin Chen (Department of Mechanical Engineering, Nanjing University of Science and Technology, Jiangsu Nanjing, 210094 China)
Yiding Wu (Department of Mechanical Engineering, Nanjing University of Science and Technology, Jiangsu Nanjing, 210094 China)
Xuan Zhou (Department of Mechanical Engineering, Nanjing University of Science and Technology, Jiangsu Nanjing, 210094 China)
Guangfa Gao (Department of Mechanical Engineering, Nanjing University of Science and Technology, Jiangsu Nanjing, 210094 China, chenlin2001@njust.edu.cn)
Abstract Generalized wave impedance theory, used to simplify stress wave analysis, has practical limitations. This study examines its applicability under non-ideal conditions, specifically the influence of coupling factors on wave propagation at variable cross-sections via simulations. Based on the generalized wave impedance theory, this study investigates the influence of coupling factors in generalized wave impedance on stress wave propagation characteristics at variable cross-sections through simulation analysis. The research reveals that under constant generalized impedance, a larger cross-sectional area ratio reduces the error between theory and simulation for reflected waves but increases it for transmitted waves. Analyzing the influence of the area ratio, wave impedance ratio, density, Young’s modulus, and sound speed on transmitted and reflected waves showed that the area ratio is the primary factor affecting the accuracy of the generalized wave impedance. Maintaining the same area ratio while altering the density and Young’s modulus ratios (changing wave impedance) revealed that accuracy improves with increasing amplification coefficients. Sound speed, as a coupling factor of density and Young’s modulus, had minimal impact on accuracy. The findings not only contribute to improving the theoretical foundation of Split Hopkinson Pressure Bar (SHPB) experiments but also offer new perspectives for enhancing the accuracy of material parameter measurements.
Keywords Generalized wave impedance, Variable cross-section, Error analysis, Stress uniformity
Received 11 April 2025Revised 15 June 2025Accepted 25 June 2025
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