Open AccessAnalysis of nonlinear dynamic response of spatial flexible tether system by Symplectic difference scheme
Author(s) -
Qiao Wang,
Huaiping Ding,
Deng Hai-hua,
Miao Zhang
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1324/1/012048
Subject(s) - symplectic geometry , nonlinear system , symplectic integrator , integrator , variational integrator , hamiltonian (control theory) , hamiltonian system , mathematics , control theory (sociology) , finite element method , classical mechanics , mathematical analysis , physics , computer science , engineering , mathematical optimization , moment map , structural engineering , quantum mechanics , control (management) , voltage , artificial intelligence
This paper transforms the discrete Langrangian formulation of spatial flexible tether systems to Hamiltonian formulism. The resulting Hamiltonian canonical equations are solved by Symplectic difference scheme. The application of Symplectic difference method for solution of nonlinear tether dynamic problems ensures conservation of system energy, momentum and volume. Two numerical examples are conducted to validate the proposed method, one is the free swing pendulum system and the other one is the three-dimensional circular towed system. The simulation results are compared with theoretical and the existing numerical results. The comparisons demonstrate the proposed Symplectic difference integrator for the Hamiltonian nodal position finite element method is numerically accurate and efficient to predict the dynamic response of spatial flexible tether systems.