
Stability of Model Test Similarity
Description
This book presents a breakthrough advancement in the field of structural dynamics and engineering modeling, specifically addressing the critical challenge of similarity conversion in model testing for transient, strongly nonlinear dynamic processes. It introduces and systematically develops the Iterative Similarity Theory, overcoming the limitations of classical similarity principles and providing a rigorous theoretical framework for accurate experimental simulation and prototype prediction. The book highlights innovative research methodologies-including renormalization group theory, phase space reconstruction, symbolic dynamics, and scaling theory-which guide readers in exploring novel approaches to controlling uncertainty, selecting optimal scaling ratios for model tests, and achieving reliable similarity transformations in highly nonlinear systems. Enriched with mathematical derivations, explicit conversion methods, and stability criteria derived from fractal and topological concepts, it distinguishes itself through a strong integration of theoretical depth and practical validation. Its primary value lies in offering engineers and researchers a systematic and theoretically robust toolkit for designing and interpreting scaled model tests of extreme dynamic events, thereby enhancing predictive accuracy in real-world engineering applications. This volume serves as an essential reference for professionals and academics in structural dynamics, naval and ocean engineering, aerospace engineering, protective engineering, and related fields, particularly for those engaged in research and practice of highly complex engineering projects such as underwater explosion analysis and cross-media vehicle dynamics.
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Person
Yaoxiong Liang is a Professor at Harbin Engineering University (HEU), China and Director of the Key Laboratory of Heilongjiang Province, China. He received his bachelor's degree from Zhenjiang Shipbuilding Institute, China in 1983, and his master's and doctoral degrees from HEU in 1989 and 1992, respectively. Since 1997, he has served as a professor at HEU, and was Dean of the School of Naval Architecture and Ocean Engineering from 2000 to 2007.
He has long been engaged in research on structural dynamics of naval and ocean engineering, explosion and impact dynamics, and bubble dynamics. He has led more than 150 projects, including key programs of the National Natural Science Foundation of China and projects supported by the Ministry of Science and Technology. He was awarded the National May 1st Labor Medal in 2022, and was selected for the "Hundred-Thousand-Ten Thousand Talent Project" and as a Distinguished Professor under the "Longjiang Scholars" program. He has published monographs such as Ship Structural Vibration, Shock and Noise and Bubble Dynamics of Underwater Explosion. He proposed the theory of cross-medium fluid-structure coupling and applied it to aerospace engineering, and established an international collaborative laboratory on bubble dynamics with University College London and St. Petersburg State Marine Technical University in Russia.
Content
Classical similarity theory.- Application of dimensional analysis in structural dynamics.- Distorted models and scaling similarity transformation.- The similarity principle of dynamic data trajectory coarse graining.- Iterative similarity theory.- Stability of similarity in nonlinear process model test.- Application analysis of iterative similarity transformation relationship in model test.