纵摇

浅水FPSO垂荡和纵摇运动的低频响应

Low frequency heave and pitch motions of FPSO in shallow water

然而，Spar的纵摇运动响应则比半潜式平台和张力腿平台要大的多。

The pitch motion of Spar is extraordinarily larger than that of Semi-submersible and TLP .

舰船纵摇运动函数变换型GM（1,1）模型研究

Functional transformation GM ( 1,1 ) model constructed for ship pitching

基于改进GM（1,1）模型的舰船纵摇运动预报

Prediction of ship pitching based on an improved Grey GM ( 1,1 ) model

船舶纵摇运动预报AR法与多层递阶方法比较研究

The Study of Comparisons among AR method and Multi-level recursive method to ships ' pitching movement

Spar平台垂荡&纵摇耦合运动的不稳定性

Unstability of coupled heave-pitch motions for Spar platform

在不考虑阻尼且波浪频率、垂荡固有频率与纵摇固有频率满足一定关系时，零解会发生Hopf分岔。

Hopf bifurcations of zero solution are found when damping is ignored and the frequency of wave , frequency of heave and pitch satisfy certain relation .

像秋千在平衡前的摇摆。Spar平台垂荡&纵摇耦合运动的不稳定性

Vibrate , as of a swing before it comes to a total rest . Unstability of coupled heave-pitch motions for Spar platform

针对典型航行工况，对船舶纵摇运动进行了仿真研究，并与AIC定阶算法进行了比较。

The ship longitudinal motion was simulated in the typical voyages condition , and it was compared with AIC rule order selection algorithm .

传统Spar平台垂荡-纵摇耦合内共振响应在空间一起移动的电和磁的振荡，这二种振荡彼此成直角。

Internal Resonant Responses of Heave-Pitch Coupled Motions of Classic Spar Platform Electrical and magnetic vibrations at right angles to each other which move together in space .

Spar的纵摇和横摇运动响应与低频随机波浪的峰值周期下的张力腿平台相比更加完美。

However , the roll and pitch response of Spar is perfect and comparable with that of the TLP when the peak period of random waves is low .

采用坐标变换技术在雷达天线的方位和俯仰轴上对船摇姿态角（横摇角R、纵摇角P和航向角H）进行角度实时补偿以达到稳定雷达天线的作用。

The coordinate transformation technology is adopted to compensate with real time the attitude angles ( rolling angle R , pitch angle P and course angle H ) of the swinging ship on the azimuth and elevating axis of the radar antenna in order to stabilize the radar antenna .

本课题应用非线性动力学理论和方法，研究Spar平台在复杂海洋环境载荷作用下的非线性运动特性和运动稳定性，以及考虑系泊张力影响时的平台垂荡与纵摇运动耦合特性分析。

In this paper , the theory and method of nonlinear dynamics are adopted to study the nonlinear dynamic behavior and motion stability of the Spar platform under complicated environment loads .

根据Routh-Hurwitz判据，得到了零解的稳定区域，增大垂荡和纵摇的阻尼可减小不稳定区域。

According to Routh-Hurwitz criterion , the stability domain of zero solution is obtained and increasing heave or pitch damping can reduce the instability domain .

本文深入研究基于Lancaster结构的二阶系统解耦算法，并利用舰船纵摇-升沉运动系统实例验证所提出的算法的适用性，主要工作可以概括如下。

In this paper , the quadratic system decoupling methods based on Lancaster structure are lucubrated , and ship pitch-heave motion system examples are used to testify the applicability of proposed algorithm .

深水经典Spar平台在风、浪、流作用下，易发生大幅度垂荡运动，引起垂荡-纵摇耦合不稳定运动，进而影响作业生产。

Classic Spar platform is liable to be caused the large heave amplitude motion under the effects of wind wave and current , inducing heave-pitch coupled instability motions . Furthermore , this may affects production operation .

忽略风力和流力的作用，水平波浪力和波浪力矩采取线性化的Morison方程来计算，垂向计算摩擦阻力和Morison力的垂向分量（纵摇时）。

Wind and current loads are neglected . Horizontal wave force and the wave moment are calculated by Morison equation . Vertical forces are composed by frictions and the perpendicular component of Morison force .

采用STF方法计算船舶的纵摇和垂荡运动及船舶在不规则波中的统计特性，计算与试验相比较，结果令人满意。

The pitching and heaving motions of a catamaran are calculated with the STF method , as well as the statistic characteristics of motion in the irregular waves . The numerical results have good agreement with the experimental ones .

HMR3000数字罗经模块由于其测量原理的限制，在某些特殊的应用场合，横摇和纵摇输出将可能出现较大的误差。

For the restriction of sense principle , in some special cases , the HMR3000 digital compass module has a great error in roll and pitch outputs .

大型舰船纵摇运动的多层递阶预报

Multi-level recursive prediction method for pitching movement of large-sized naval vessels

船舶舵减纵摇控制方法研究

Study on Control Method of Rudder Anti - pitching for Ship

舰艇减纵摇附体的抗砰击强度分析

Strength against slam load analysis of pitch reducing attachment installed on convey

船舶在规则波中纵摇与升沉运动的仿真

Simulation of the heaving and pitching motion of ship in regular wave

对船舶靠泊时横摇和纵摇适应性强；

Good adaptability of transverse and longitudinal shake of ships during mooring ;

舰面纵摇对弹射起飞性能的影响

The effects of deck 's longitudinal shaking on launching performance

本文采用π型舵作为减纵摇装置。

This paper select the π rudder as the device of antipitching .

规则波中高速滑行平板的纵摇与升沉运动

Pitching and heaving of the planing plate with high speed in regular waves

预报结果给出了船舶纵摇、横摇、垂荡等运动有义值；

The results included the significant number of rolling , pitching , heaving ;

将广义预测控制应用于船舶减纵摇。

Generalized predictive control is used to decrease pitching .

船舶横摇与纵摇运动的非线性耦合方程

Nonlinear coupling equations for ship rolling and pitching motions