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Responses of Longitudinal and Transversal Nonlinear Coupling Vibration of Ship Shafting
Author(s): 
Pages: 1482-1494
Year: Issue:  12
Journal: Journal of Ship Mechanics

Keyword:  ship shaftinglongitudinal and transversal coupling vibrationFEMnon-linear effectdynamics design;
Abstract: Ship shafting with multi-support and lumped mass is studied by the FEM based on the nonlinear stiffness and mass matrix of the beam element. Responses of longitudinal and transversal coupling vibration are calculated by the combination of the Newmark method and Newton-Raphson method and the results are analyzed. It shows that the dynamic responses of longitudinal and transver-sal coupling vibration are larger than the responses of linear vibration due to strong interaction be-tween longitudinal and transversal vibrations in the time-history domain. Furthermore, they have more exciting frequency components in the frequency domain. So the natural frequencies of the design system not only should avoid the excitation frequencies but also should avoid the combined excita-tion frequencies. The law of the responses of nonlinear coupling vibration with different excitation force amplitudes and different excitation frequencies is investigated. The calculation results have cer-tain guiding significance to practical engineering research for ship shafting design.
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