Chinese Journal of Theoretical and Applied Mechanics ›› 2018, Vol. 50 ›› Issue (1): 114-123.DOI: 10.6052/0459-1879-17-022

• 动力学与控制 • Previous Articles     Next Articles


Zhou Chunxiao1,2, Wang Ruiqiong1,2, Nie Zhaokun1, Li Gang1, Zeng Yan1,*   

  1. 1State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology,Dalian 116024,China
    2Beijing Institute of Astronautical Systems Engineering,Beijing 100076,China
  • Online:2018-02-20 Published:2018-03-09
  • Contact: Zeng Yan


Hydrodynamic loads of underwater vehicle structure have a high degree of randomness in time and space, which leads to random responses of structure such as maximum internal forces, time and position they taking place, etc. Dynamic response of underwater vehicle will also be nonlinear due to different tension and compression stiffness of its connecting or separated structures. To analyse the influence of nonlinearity of connection on statistics of response of underwater vehicle based on limited sample data of hydrodynamic external load, probabilistic modelling of dynamic response of underwater vehicle is completed by using maximum entropy method in which statistical moments of response samples are obtained from a simplified dynamic model of the structure. Probability density functions of maximum internal forces, time and position they taking place, are proposed separately to predict the most dangerous cases of the underwater vehicle. Accuracy of results proposed here is verified through Monte Carlo simulation. Effects of nonlinear parameters of connections on dynamic response are studied and discussed. Final conclusions are as follows: Nonlinearity of connection leads to axial force response of structures under transverse loads; peak of probabilistic density function of maximum axial force of the structure increases with nonlinear degree of connections which leads to significant effect of propagation of uncertainty; internal force response of structure with nonlinear connections under normal random loads is non-normal; position of maximum internal force response of underwater vehicle structure is influenced by degree of nonlinearity of connections. These findings can provide technical support for structural optimization.

Key words: maximum entropy method, dynamic response, probabilistic modelling, external loads with randomness in time and space, Monte Carlo simulation, underwater vehicle

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