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Nonlinear kinetic analysis method for ship yawing in regular waves

A technology of nonlinear dynamics and analysis method, which is applied in the field of nonlinear dynamics calculation and analysis of ships swaying under the excitation of regular waves, and can solve the problem of few applications

Active Publication Date: 2021-03-02
TIANJIN UNIV
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  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, there are few applications of nonlinear dynamics such as bifurcations to this problem

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  • Nonlinear kinetic analysis method for ship yawing in regular waves
  • Nonlinear kinetic analysis method for ship yawing in regular waves
  • Nonlinear kinetic analysis method for ship yawing in regular waves

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Embodiment Construction

[0087] In order to further understand the invention content, characteristics and effects of the present invention, the following examples are given, and detailed descriptions are as follows in conjunction with the accompanying drawings:

[0088] The invention combines the theory of ship motion with the theory of nonlinear dynamics, proposes a new measurement index and new concept of ship motion instability, and establishes an analysis method and flow of nonlinear dynamics.

[0089] Such as figure 1 As shown, a nonlinear dynamics analysis method for ship lateral swing in regular waves includes the following steps:

[0090] 1. First, establish the differential equation of the ship’s yaw motion in regular waves:

[0091]

[0092] In the formula, ψ represents the heading angle, F is the wave moment in the direction of the yaw movement of the ship, δ represents the rudder angle, K and T are the maneuverability indices of the ship, where, I represents the moment of inertia of ...

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Abstract

The invention discloses a nonlinear kinetic analysis method for ship yawing in regular waves. The nonlinear kinetic analysis method comprises the following steps: establishing a yawing motion differential equation of a ship in the regular waves; according to a nonlinear dynamics theory, determining boundaries of a stability domain and an instability domain of the ship in yawing motion, obtaining astability domain schematic diagram of a ship yawing motion differential equation solution, and according to the stability domain schematic diagram, obtaining a theoretical critical value of a parameter excitation item coefficient in the yawing motion differential equation; based on a bifurcation nonlinear dynamics theory, calculating ship yawing motion bifurcation characteristics by adopting a numerical method to obtain a bifurcation diagram of a ship yawing angle along with the change of the wave height so as to determine the reliability of a theoretical critical value of a parameter excitation term coefficient; and determining a critical condition of transverse throwing of the ship according to the stability domain schematic diagram. According to the method, the stability domain of safenavigation of the ship is analyzed by adopting a non-linear kinetic analysis method for the transverse swinging motion of the ship in the regular waves, and an analysis method and a safe navigation basis are provided for safe navigation of the ship.

Description

technical field [0001] The invention relates to the nonlinear motion analysis of ships, in particular to a nonlinear dynamics calculation and analysis method for lateral throwing of ships under regular wave excitation. Background technique [0002] Ship wave riding / swing motion is one of the failure modes in the second-generation intact stability of ships. During the wave riding / swinging motion of the ship, its nonlinear dynamic characteristics are the most significant in the mode of ship instability. Ship roll motion instability mode refers to that when the ship sails in waves, the rudder loses its control effect on the ship, and a large bow movement occurs, and the ship may be accompanied by a large roll during this process. [0003] For the lateral motion of ships in regular waves, most studies adopt numerical analysis methods. This method is straightforward to calculate and can consider more complex factors in the model, but it can only calculate and consider one worki...

Claims

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Application Information

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IPC IPC(8): G06F30/20G06F30/15G06F17/13G06F119/14
CPCG06F30/15G06F30/20G06F17/13G06F2119/14Y02T90/00
Inventor 王丽元刘峥李焱唐友刚童波
Owner TIANJIN UNIV
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