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<p>The similarity law of structural damage effect of ship structure under the action of underwater explosion load is more complicated than the traditional similarity law. Dynamic response has strong nonlinear, non-smooth characteristics, the explosion load, system parameters, initial conditions and other factors will lead to the dynamics of the response bifurcation, sudden changes and other phenomena. Its output exhibits uncertainty qualities. In this paper, for the ship structure explosion impact model experiment and the prototype experimental results of the large difference leads to the engineering prediction error is large problem, based on phase space reconstruction techniques, parabolic mapping methods, symbolic dynamics, and topological semi-conjugacy diffeomorphism theory. The dynamic response evolution characteristics of underwater exploded ship structures are described. A transformation equation of ship structure similarity model test under underwater explosion load is established. The results of model test are effectively converted to prototype. Firstly, this paper takes a typical structure of a certain type of ship as an object to study the evolution law of nonlinear and nonsmooth dynamic response of underwater explosion ship structure under different impact loads. Secondly, the conversion equations of the ship structure similarity model test under the underwater explosion load is established, and the topological semi-conjugacy diffeomorphism embryo mapping function (power series, sine function) is adopted. The numerical computational model test with certain scaling ratio is validated to reveal the similarity mechanism of the strong nonlinear dynamic response of ship structure under the effect of explosion impact. The research results show that underwater explosion ship structure similar model test conversion equation reveals the similarity law of ship structure damage effect. Effectively realizes the transformation of model test result to prototype, and is able to guide similar test of scaled-down model.</p>

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A study of diffeomorphism characterization in similar transformation of underwater explosion ship model tests

  • 期刊论文

  • 发表日期：

    2025年8月16日

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  • Xiongliang Yao,
  • Yongran Yin,
  • Kun Zhao,
  • Renjie Huang

摘要

The similarity law of structural damage effect of ship structure under the action of underwater explosion load is more complicated than the traditional similarity law. Dynamic response has strong nonlinear, non-smooth characteristics, the explosion load, system parameters, initial conditions and other factors will lead to the dynamics of the response bifurcation, sudden changes and other phenomena. Its output exhibits uncertainty qualities. In this paper, for the ship structure explosion impact model experiment and the prototype experimental results of the large difference leads to the engineering prediction error is large problem, based on phase space reconstruction techniques, parabolic mapping methods, symbolic dynamics, and topological semi-conjugacy diffeomorphism theory. The dynamic response evolution characteristics of underwater exploded ship structures are described. A transformation equation of ship structure similarity model test under underwater explosion load is established. The results of model test are effectively converted to prototype. Firstly, this paper takes a typical structure of a certain type of ship as an object to study the evolution law of nonlinear and nonsmooth dynamic response of underwater explosion ship structure under different impact loads. Secondly, the conversion equations of the ship structure similarity model test under the underwater explosion load is established, and the topological semi-conjugacy diffeomorphism embryo mapping function (power series, sine function) is adopted. The numerical computational model test with certain scaling ratio is validated to reveal the similarity mechanism of the strong nonlinear dynamic response of ship structure under the effect of explosion impact. The research results show that underwater explosion ship structure similar model test conversion equation reveals the similarity law of ship structure damage effect. Effectively realizes the transformation of model test result to prototype, and is able to guide similar test of scaled-down model.