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Item type:Publication, Access status: with files , Validation of theoretical estimation methods and maximum value distribution calculation for parametric roll amplitude in long-crested irregular wavesParametric rolling is a parametric excitation phenomenon caused by GM variation in waves. There are a lot of studies of the estimation the conditions, the occurrence, and the amplitude of parametric rolling. On the other hand, there are relatively few cases in which theoretical methods for estimating parametric roll amplitudes in irregular waves have been validated in tank tests. The primary objective of this study is to validate theoretical estimation methods for the parametric roll amplitude in irregular waves and improve their accuracy. First, the probability density functions (PDF) of the parametric roll amplitude obtained from the model ship motion experiment in irregular waves are compared with that obtained from theoretical estimation methods. Second, the method to improve the accuracy of estimation of the roll restoring variation in irregular waves is suggested. Third, the method to estimate the distribution of the maximum amplitude of parametric rolling in irregular waves. As a result, the PDFs of the roll amplitude obtained from the experiments differ from the results of theoretical estimation. After that, by correcting GM variation, the results of theoretical estimation are closer to the experimental results. Moreover, by the theoretical estimation method using the moment equation, the qualitative estimation for the PDF of the maximum roll amplitude is succeeded.Publicationtype: Journal Article25 23 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Access status: without files , Approximate probability density function for nonlinear surging in irregular following seasThe broaching that follows the surf-riding is a dangerous phenomenon that can lead to the capsizing of a vessel due to its violent yaw motion. Most of the previous studies on surf-riding phenomena in irregular waves have been conducted by replacing irregular waves with regular waves. In contrast, this study provides suggestions on how to directly calculate nonlinear surge motion in irregular seas. In this study, the statistical aspects of the surf-riding phenomenon are first presented. Then, under several approximations, we show how to calculate the probability density function theoretically. Although the results obtained are based on strong approximations, it is found that the nonlinear surge oscillations in irregular following seas can be explained from a qualitative point of view.Publicationtype: Journal Article19 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Access status: with files , Probability density function of roll amplitude for parametric rolling using moment equationFor the ship stability estimation and ship design, it is helpful to know the probability of the roll amplitude exceeding a certain threshold. Therefore, it is necessary to obtain the probability density function of the roll amplitude. In this study, first, we derive the moment values of roll amplitude by combining the moment equations and the linearity of expectation. With this, we propose a method to estimate the probability density function of the roll amplitude by using the obtained moment values. The results of our proposed method are compared to those obtained from Monte Carlo simulations. When the higher-order cumulant neglect closure method is used, the moment values resulting from the moment equations are close to the results of corresponding Monte Carlo simulations. In addition, our proposed method for deriving the probability density function of the roll amplitude is validated by comparison with Monte Carlo simulation results. In conclusion, we can state that the proposed methods for deriving the moments and the probability density function of the roll amplitude are available for practical use cases.Publicationtype: Journal Article10 47 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Access status: with files , Practical method for evaluating wind influence on autonomous ship operations (2nd report)Recently, a considerable number of research and development projects have focused on automatic vessels. A highly realistic simulator is needed to validate control algorithms for autonomous vessels. For instance, when considering the automatic berthing/unberthing of a vessel, the effect of wind in such low-speed operations cannot be ignored because of the low rudder performance during slow harbor maneuvers. Therefore, a simulator used to validate an automatic berthing/unberthing control algorithm should be able to reproduce the time histories of wind speed and wind direction realistically. Therefore, in our first report on this topic, to obtain the wind speed distribution, we proposed a simple algorithm to generate the time series and distribution of wind speed only from the mean wind speed. However, for wind direction, the spectral distribution could not be determined based on our literature surveys, and hence, a simple method for estimating the coefficients of the stochastic differential equation (SDE) could not be proposed. In this study, we propose a new methodology for generating the time history of wind direction based on the results of Kuwajima et al.’s work. They proposed a regression equation of the standard deviation of wind direction variation for the mean wind speed. In this study, we assumed that the wind direction distribution can be represented by a linear filter as in our previous paper, and its coefficients are derived from Kuwajima’s proposed equation. Then, as in the previous report, the time series of wind speed and wind direction can be calculated easily by analytically solving the one-dimensional SDE. The joint probability density functions of wind speed and wind direction obtained by computing them independently agree well with the measurement results.Publicationtype: Journal Article34 22 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Access status: with files , Comparison of stochastic stability boundaries for parametrically forced systems with application to ship rolling motionNumerous accidents caused by parametric rolling have been reported on container ships and pure car carriers (PCCs). Considering this dangerous phenomenon, the parametric rolling in irregular seas is examined in this paper based on the stability of the systems origin, which corresponds to the upright condition of the vessel. It provides a novel theoretical explanation of the instability mechanism for two cases: white-noise parametric excitation and colored-noise parametric excitation. Moreover, the authors confirm the usefulness of the previously provided formulae by Roberts and Dostal by means of numerical examples.Publicationtype: Journal Article17 25 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Access status: without files , Stochastic assessment of acceleration probability density function for parametric rolling using the moment methodContainer ships encounter large roll angles and high acceleration, and container loss remains a problem. This study proposes a method for calculating the probability density function (PDF) of roll angular and cargo lateral accelerations. First, the moment values of these accelerations are derived using the linearity of expectation, and the validity of this method is examined. Second, the PDF shapes of these accelerations are proposed and their coefficients are determined using the obtained moment values. Our proposed method can be used to derive the PDFs of roll angular and cargo lateral accelerations.Publicationtype: Journal Article24 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Access status: without files , Stochastic stabilization and destabilization of ship maneuvering motion by multiplicative noiseIn 1982, Tsubokawa et al. (J SocNaval Arch Japan 1982: 101, 1982) examined ship maneuvering motion and revealed through numerical simulations that even a ship with unstable maneuvering characteristics could stabilize its course stability when wind or wave disturbance occurs. In this study, we assume that the facts confirmed by Tsubokawa et al. (J SocNaval Arch Japan 1982: 101, 1982) in their numerical calculations are attributed to the random variation of the coefficients inside the equations of motion. Moreover, in the control research field, certain contributions to stabilization and destabilization because of noise disturbance have been reported. Therefore, the existing works of Mao (Syst Control Lett 23: 2709, 1994), Arnold (Siam J Appl Mathemat 46: 427, 1986), and Kozin (SIAM J Appl Mathemat 21: 413, 1971) were explored and extended in this study. Moreover, we uncovered the mechanism of stabilization and destabilization of the ship maneuvering system.Publicationtype: Journal Article26 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Access status: without files , Estimation of acceleration probability density function for parametric rolling using PLIM(2023-07-15); ; ; As previously reported, container loss due to severe roll angles and high acceleration is still a problem for container ships. In this paper, the roll's angular acceleration is explored. First, the acceleration is divided into two components. The PDF line integral method (PLIM) is used to obtain the probability density function (PDF) of each acceleration component. We point out that it is inappropriate to obtain the joint PDF of roll angle and rate via the standard transformation from roll energy to roll angle-roll rate. Furthermore, we suggest a method for calculating the joint PDF of roll angle and effective wave elevation. Although theoretically calculating the PDF of roll angular acceleration is attempted, the theory differs from the Monte Carlo simulation (MCS) result. Therefore, it is necessary to study an alternative way to obtain a reasonable PDF of roll angular acceleration. Finally, the PDF of cargo lateral acceleration is derived, showing that the proposed theory agrees well with the MCS result. In comparison to our previous results using the PLIM method, the computation of acceleration for large roll motion is much more difficult. This leads to new challenges.Publicationtype: Journal Article44 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Access status: without files , Enhanced estimation method and approximation method of the PDF of roll angular acceleration and jerk in beam seas(2022-11-15); ; ; ; So far, the authors have established the theoretical estimation method of the Probability Density Function (PDF) of roll angular acceleration and jerk with the use of PLIM (PDF Line Integral Method), and estimations of the PDF of these properties were successfully achieved. PLIM, on the other hand, necessitates numerical integration along the complex shaped integral path. The integral path, in particular, becomes challenging in the calculation of the jerk property. However, if the restoring term is only represented by a linear component, then explicit expressions of PDF of roll angular acceleration can be obtained using the nonlinearization technique. It is noteworthy that the form of the nonlinear damping component does not constrain the applicability. This paper aims to show the derivation of the theoretical result and comparison with Monte Carlo Simulation (MCS) results. Furthermore, using the current form of the acceleration PDF, the PDF of roll angular jerk was obtained. The variance of roll angular rate determines the PDF form of the acceleration, which is the method's main advantage.Publicationtype: Journal Article25 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Access status: without files , Application of linear filter and moment equation for parametric rolling in irregular longitudinal wavesParametric rolling is one of the dangerous dynamic phenomena. To discuss the safety of a vessel when a dangerous phenomenon occurs, it is important to estimate the probability of certain dynamical behavior of the ship with respect to a certain threshold level. In this paper, the moment values are obtained by solving the moment equations. Since the stochastic differential equation (SDE) is needed to obtain the moment equations, the autoregressive moving average (ARMA) filter is used. The effective wave is modeled using the 6th-order ARMA filter. In addition, the parametric excitation process is modeled using a non-memory transformation obtained from the relationship between GM and wave elevation. The resulting system of equations is represented by the 8th-order Itô stochastic differential equation, which consists of a second-order SDE for the ship motion and a 6th-order SDE for the effective wave. This system has nonlinear components. Therefore, the cumulant neglect closure method is used as higher-order moments need to be truncated. Furthermore, the probability density function of roll angle is determined using moment values obtained from the SDE and the moment equation. Here, two types of the probability density function are suggested and have a good agreement.Publicationtype: Journal Article29