用一种改进的多时间尺度方法可靠地计算船舶横摇的瞬态和稳态响应

D. Deleanu, M. Turof, C. Dumitrache
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引用次数: 0

摘要

在任何关于波浪中船舶行为的分析中,一个重要的步骤是对高横摇振幅进行合理准确的评估。估计滚转振荡最常用的方法是求解滚转角未知的非线性微分方程。非线性是指近似阻尼力矩和恢复力矩的不同方法。由于缺乏精确的分析解,也无法用数值解来突出各种参数对船舶运动的影响,因此需要使用近似分析方法。利用文献中最近提出的改进的多时间尺度方法的优点,我们获得了向平稳解过渡的控制方程、这些解的一阶近似值以及频率-振幅关系。通过与数值结果(被认为是精确的)进行比较,证明了本文推导的分析结果的准确性。对于相对较小的强迫振幅,两者之间的一致性是极好的,并且对于在几乎整个激励频率使用值范围内(包括主共振域)的高水平,它们是令人满意的。
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A TRUSTWORTHY COMPUTATION OF THE TRANSITORY AND STATIONARY RESPONSES FOR THE SHIP ROLLING BY A MODIFIED MULTIPLE TIME SCALE METHOD
An important step in any analysis concerning the ship behaviour in waves is a reasonable accurate assessment of high roll amplitudes. The most commonly used way to estimate the roll oscillations is to solve a nonlinear differential equation with the roll angle as unknown. The nonlinearities refer to different ways of approximating the damping and restoring moments. The lack of exact analytical solutions and the inability of a numerical solution to highlight the influence of various parameters on the ship motion, leads to the need to use approximate analytical methods. Operating the benefits of a modified multiple time scale method recently proposed in the literature, we obtained the governing equations for the transition towards the stationary solutions, the first – order approximations for these solutions and the frequency – amplitude relationship. The accuracy of the analytical results derived in the paper was demonstrated by comparing them with the numerical results (considered to be exact). The agreement between the two was excellent for relatively small forcing amplitude and satisfactory for high level of them on almost the entire range of used values for excitation frequency, including the primary resonance domain.
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来源期刊
International Journal of Modern Manufacturing Technologies
International Journal of Modern Manufacturing Technologies Engineering-Industrial and Manufacturing Engineering
CiteScore
0.70
自引率
0.00%
发文量
15
期刊介绍: The main topics of the journal are: Micro & Nano Technologies; Rapid Prototyping Technologies; High Speed Manufacturing Processes; Ecological Technologies in Machine Manufacturing; Manufacturing and Automation; Flexible Manufacturing; New Manufacturing Processes; Design, Control and Exploitation; Assembly and Disassembly; Cold Forming Technologies; Optimization of Experimental Research and Manufacturing Processes; Maintenance, Reliability, Life Cycle Time and Cost; CAD/CAM/CAE/CAX Integrated Systems; Composite Materials Technologies; Non-conventional Technologies; Concurrent Engineering; Virtual Manufacturing; Innovation, Creativity and Industrial Development.
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