Dynamic response of towed line array

Yang, Bing-ka; Zhu, Keqiang; Zhu, Yanjie; Daowu, Qin

doi:10.1016/s1001-6058(11)60403-5

Cited by 18 publications

(10 citation statements)

References 8 publications

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“…Equation (19) shows that the dynamic process model of the towed line array in the ISW environment is a complex nonlinear differential equation group, which is difficult to solve by the analytical method. Usually, the numerical method is used to approximate the solution, and the calculation accuracy mainly depends on the discrete spacing of the towed line array elements.…”

Section: Model Solving Methodsmentioning

confidence: 99%

“…The disadvantages of such methods are the large amount of data required, and the estimation accuracy limited by the measurement accuracy of the non-acoustic sensors. The hydrodynamic mathematical model method [18][19][20][21] considers the force of the array under the action of seawater medium and evaluates the deformation of the array by solving the motion control equation. The accuracy of this method mainly depends on the accuracy of the flow velocity estimation and the accuracy of the towing velocity.…”

Section: Introductionmentioning

confidence: 99%

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Influence Analysis of Internal Solitary Wave on Towed Line Array Shape and Compensation Strategy

et al. 2021

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Due to the flexibility of the towed line array, shear currents caused by an internal solitary wave (ISW) distort the array shape. This will lead to a mismatch between the conventional target detection algorithm and the array shape, resulting in a significant decline in the performance of the towed line array gain, azimuth resolution, etc. Based on the improved motion model of towed cable constructed by Ablow and Schechter (Ocean Eng, 10: 443-457, 1983), we propose a motion model of the towed line array under an ISW according to the Korteweg-De Vries (KdV) equation and solve the model by finite difference method combined with the Newton iteration method. In addition, the DFT beamforming theory is used to detect the target signal after the array shape distortion compensation to verify the validity of the model. The data analysis shows that the array shape distortion caused by the ISW is mainly affected by the relative position between the array and the ISW, the amplitude of the ISW, the fluid layer density, the fluid layer depth, the towing velocity, the tangential/normal drag coefficient, the elastic modulus, and the towed cable density. The influence of elastic modulus and the towed cable density on array shape distortion can be ignored. The detection results show that the output signal power is about 6 dB higher than the output noise power, and the array gain and azimuth resolution are improved after array shape distortion compensation.

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Section: Model Solving Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Influence Analysis of Internal Solitary Wave on Towed Line Array Shape and Compensation Strategy

et al. 2021

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“…The mooring force is simulated using the linear LMS model. In [15] the lumped parameter cable model with consideration of the bending and torsional effects was used to simulate a circular maneuver of a towed horizontal array.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Development of the mathematical modeling method for dynamics of the flexible tether as an element of the underwater complex

Blintsov

2017

EEJET

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a result, these equations are strongly coupled, which has to be taken into account when simulating UCFTs. Due to equations nonlinearity usually it is impossible to find an analytical solution of such a complicated problem, hence numerical methods are employed.The motion of MMOs as of solid bodies in the water flow has been well studied [2,3]. The MMO mathematical models include mathematical models of their hulls, hydrodynamic drags, propulsive complexes, bearing surfaces, and other elements. As a rule, it is possible to develop an MMO mathematical model in the form of ordinary differential equations system, despite complex dependencies between parameters of model elements. This allows applying effective methods of numerical solution of differential equations to the MMO simulation.The flexible tether modeling is a more challenging problem, as the FT is an object with distributed parameters which is described by a system of nonlinear differential equations with partial derivatives. Two approaches were evolved for modeling FT dynamics [4]. These are segmental and lumped-mass-spring (LMS) methods. For the former the FT is modeled as a continuous system and resulting partial differential equations are solved numerically by finite difference or any suitable approximation method. In the LMS approach the cable is modeled as mass points joined together by massless elastic elements of finite length, which makes it possible to express the FT model in the form of ordinary differential equations. All the forces along the cable are assumed to be concentrated at the mass points. IntroductionUnderwater complexes with flexible tethers (UCFT) consist of two types of elements: those with lumped and distributed parameters. The former include marine mobile objects (MMO): surface vessels, submarines, remotely operated vehicles (ROV) and others. The latter include flexible tethers (FT): umbilical cables, towing cables, anchor chains, etc. An example of a two-linked UCFT is shown in Fig. 1 [1]. Fig. 1. Two-linked underwater complex with flexible tethersMathematical modeling is one of the main methods of the UCFT studies. In this regard, the UCFT motion simulators should include corresponding MMO and FT mathematical models. It is known that their motion equations are non-linear and their dynamic behaviors are mutually dependent. As APPLIED MECHANICS DEVELOPMENT OF THE MATHEMATICAL MODELING METHOD FOR DYNAMICS OF THE FLEXIBLE TETHER AS AN ELEMENT OF THE UNDERWATER COMPLEX О . B l i n t s o vPhD, Assistant Professor Department of Information Security Lviv Polytechnic National University S. Bandery str., 12, Lviv, Ukraine, 79000 E-mail: energybox@mail.ruРозроблено метод математичного моделю-вання динаміки гнучкого зв'язку (ГЗ) на основі автоматичного контролю осьового руху його еле-ментів. Синтезовано регулятор відстаней між елементами ГЗ як складова математичної моде-лі. Запропоновано спосіб моделювання ГЗ зі змін-ною довжиною. Показано ефективність розробле-ного методу у порівнянні з методом зосереджених мас та еластичних зв'язків при мо...

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“…Так, в [8] модель КБ з урахуванням ефектів згинання та скручування була використана для моделювання кругового горизонтального манев-ру буксируваної системи. В [9] розроблено модель на-півзаглибного автономного підводного апарата з КБ та гідролокатором бокового огляду.…”

Section: аналіз останніх досліджень і публікаційunclassified

Specialized simulating complex for studying motion dynamics of the towed underwater system

Blintsov¹,

Sokolov²

2017

Collection of Scientific Publications NUS

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There is developed a specialized simulating complex for computer-aided study of the efficiency of automatic control systems for the underwater towed system «carrier ship -tether winch -tether -towed underwater vehicle». The complex includes mathematical models of the dynamics of a marine moving object, flexible connection and tether winch. The former is used to simulate the spatial motion dynamics of a towing vessel and a towed underwater vehicle as solid bodies in a water flow. Tether simulation employs a method of simulating a flexible connection with automatic control of the axial motion of its elements, which makes it possible to account for the dynamics of the change in the length of its released part. The model of the tether winch dynamics provides simulation of the tether release and gathering. The simulation complex enables studying the spatial motion of a towed underwater vehicle in the water column in relation to the towing vessel as a control object at the dynamic change of the length of the released part of the tether. Keywords: simulating complex; towed underwater vehicle; towing cable dynamics; spatial motion.Анотація. Розроблено спеціалізований моделюючий комплекс для комп'ютерного дослідження ефективності систем автоматичного керування підводною буксируваною системою у складі «судно-носій -кабельна лебід-ка -кабель-буксир -буксируваний підводний апарат». Моделюючий комплекс дає змогу досліджувати про-сторовий рух у водній товщі буксируваного підводного апарата відносно судна-буксирувальника як об'єкта керування при динамічній зміні довжини випущеної частини кабель-буксира. Ключові слова: моделюючий комплекс; буксируваний підводний апарат; динаміка кабель-буксира; просто-ровий рух.Аннотация. Разработан специализированный моделирующий комплекс для компьютерного исследования эффективности систем автоматического управления подводной буксируемой системой в составе «судно-носитель -кабельная лебедка -кабель-буксир -буксируемый подводный аппарат». Моделирующий ком-плекс позволяет исследовать пространственное движение в водной толще буксируемого подводного аппарата относительно судна-буксировщика как объекта управления при динамическом изменении длины выпущенной части кабель-буксира.

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Dynamic response of towed line array

Cited by 18 publications

References 8 publications

Influence Analysis of Internal Solitary Wave on Towed Line Array Shape and Compensation Strategy

Influence Analysis of Internal Solitary Wave on Towed Line Array Shape and Compensation Strategy

Development of the mathematical modeling method for dynamics of the flexible tether as an element of the underwater complex

Specialized simulating complex for studying motion dynamics of the towed underwater system

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