rmrsНаучно-технический сборник Российского морского регистра судоходстваResearch Bulletin by Russian Maritime Register of Shipping2223-7097Российский морской регистр судоходстваFOJTIHrmrs-143Research ArticleМОРЕХОДНЫЕ КАЧЕСТВА СУДОВSEAWORTHINESSПостроение пространственной аппроксимации набора диаграмм статической остойчивости автономного суднаConstruction of a spatial approximation of a set of diagrams of static stability of an autonomous shipШульцС. В.ShultsS. V.

аспирант 

190121, Санкт-Петербург, Лоцманская ул., 3 

PhD student

190121, St. Petersburg, Lotsmanskaya ul., 3

svsch9@yandex.ruКутейниковМ. А.KuteynikovМ. А.

д-р техн. наук

191186, Санкт-Петербург, Миллионная ул., 7А 

DSc

191186, St. Petersburg, Millionnaya ul., 7A 

kuteynikov.ma@rs-class.orgШульцВ. Ю.ShultsV. Yu.

канд. физ.-мат. наук

190121, Санкт-Петербург, Лоцманская ул., 3 

PhD

190121, St. Petersburg, Lotsmanskaya ul., 3

vysch@yandex.ruСанкт-Петербургский государственный морской технический университетРоссияSt. Petersburg State Marine Technical UniversityRussian FederationРоссийский морской регистр судоходстваРоссияRussian Maritime Register of ShippingRussian Federation2025031120251808293Copyright © Шульц С.В., Кутейников М.А., Шульц В.Ю., 20252025Шульц С.В., Кутейников М.А., Шульц В.Ю.Shults S.V., Kuteynikov М.А., Shults V.Y.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://sbornik.rs-class.org/jour/article/view/143

Актуальность выбранной темы исследования объясняется активным развитием автономного судовождения и необходимостью решения задач, возникающих в процессе эксплуатации морских автономных надводных судов. Разрабатываемая в рамках диссертационного исследования математическая модель экспресс-оценки характеристик качки судна на нерегулярном морском волнении предполагает наличие метода для вычисления плеча остойчивости в зависимости от угла крена и осадки. В данной работе рассмотрены математические методы аппроксимации поверхности, применимые для обработки неравномерно распределенных данных; построены аппроксимации поверхности, образованной набором диаграмм статической остойчивости, соответствующих различным случаям нагрузки масс судна, проведено сравнение полученных результатов. Сделан вывод, что наилучшими для данной задачи аппроксимационными способностями обладают методы, основанные на кубических и бигармонических сплайнах.

The relevance of the chosen research topic is explained by the active development of autonomous navigation and the need to solve tasks arising during the operation of marine autonomous surface ships. The mathematical model developed as a part of the research for the operational assessment of ship motion characteristics in irregular seas suggests a method for calculating the righting arm depending on the angle of roll and draft. In this paper, mathematical methods of surface approximation are considered, applicable for processing nonuniformly distributed data; approximations of the surface formed by a set of static stability diagrams corresponding to different cases of vessel mass loading are constructed, and the results obtained are compared. It is concluded that the methods based on cubic and biharmonic splines have the best approximation capabilities for this task.

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The authors declare that there are no conflicts of interest present.