title: Ð£ÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÑ Ð¿Ð»Ð°Ð²Ð°ÑÑÐ¸Ñ ÑÐµÐ» Ñ Ð´Ð¾Ð¿Ð¾Ð»Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¼Ð¸ Ð³ÑÑÐ·Ð°Ð¼Ð¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Stability of floating bodies with supplementary loads
Creators: name: ÐÐ¾ÑÐ¾Ð·Ð¾Ð², ÐÐ¼Ð¸ÑÑÐ¸Ð¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÑ Ð¿Ð»Ð°Ð²Ð°ÑÑÐ¸Ñ ÑÐµÐ»
Ð´Ð¾Ð¿Ð¾Ð»Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐµ Ð³ÑÑÐ·Ñ
Ð¿ÑÑÐ¼Ð¾ÑÐ³Ð¾Ð»ÑÐ½Ð°Ñ Ð±Ð°ÑÐ¶Ð°
ÑÑÐµÑÐ³Ð¾Ð»ÑÐ½Ð°Ñ Ð»Ð¾Ð´ÐºÐ°
Ð¾Ð±Ð»Ð°ÑÑÑ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸
ÑÐ¾ÑÐµÑÐ½ÑÐµ Ð³ÑÑÐ·Ñ
Ð¿Ð¾Ð´Ð²Ð¸Ð¶Ð½ÑÐ¹ Ð³ÑÑÐ·
stability of floating bodies
additional loads
rectangular barge
triangular boat
stability region
point loads
movable load

description: Ð¦ÐµÐ»ÑÑ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÐ»Ð¾Ð²Ð¸Ð¹ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð¿Ð»Ð°Ð²Ð°ÑÑÐ¸Ñ ÑÐµÐ» ÑÐ°Ð·Ð»Ð¸ÑÐ½Ð¾Ð¹ Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸Ð¸, Ð½ÐµÑÑÑÐ¸Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐµ Ð³ÑÑÐ·Ñ, Ð¸ Ð°Ð½Ð°Ð»Ð¸Ð· Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÑÐ¸Ñ ÑÑÐ»Ð¾Ð²Ð¸Ð¹ Ð½Ð° Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ ÑÐ¸ÑÑÐµÐ¼. Ð¡Ð¾Ð¾ÑÐ²ÐµÑÑÑÐ²ÐµÐ½Ð½Ð¾ Ð² ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ ÑÐµÑÐ°ÑÑÑÑ ÑÐ»ÐµÐ´ÑÑÑÐ¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸: â¢ Ð¤Ð¾ÑÐ¼ÑÐ»Ð¸ÑÐ¾Ð²ÐºÐ° Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð¿Ð»Ð°Ð²Ð°ÑÑÐ¸Ñ ÑÐµÐ» Ñ ÑÑÐµÑÐ³Ð¾Ð»ÑÐ½ÑÐ¼ Ð¸ Ð¿ÑÑÐ¼Ð¾ÑÐ³Ð¾Ð»ÑÐ½ÑÐ¼ ÑÐµÑÐµÐ½Ð¸ÐµÐ¼. â¢ ÐÐ¾Ð»ÑÑÐµÐ½Ð¸Ðµ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð²ÑÑÐ°Ð¶ÐµÐ½Ð¸Ð¹ Ð´Ð»Ñ ÑÑÐ»Ð¾Ð²Ð¸Ð¹ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð¿ÑÐ¸ Ð½ÐµÐ¿Ð¾Ð´Ð²Ð¸Ð¶Ð½ÑÑ ÑÐ¾ÑÐµÑÐ½ÑÑ Ð³ÑÑÐ·Ð°Ñ. â¢ ÐÐ½Ð°Ð»Ð¸Ð· ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð¿Ð»Ð°Ð²Ð°ÑÑÐ¸Ñ ÑÐµÐ» Ñ Ð¿Ð¾Ð´Ð²Ð¸Ð¶Ð½ÑÐ¼ Ð³ÑÑÐ·Ð¾Ð¼. â¢ ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ Ð³ÑÐ°ÑÐ¸ÐºÐ¾Ð² Ð¸ Ð¸Ð»Ð»ÑÑÑÑÐ°ÑÐ¸Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð². â¢ ÐÐ½ÑÐµÑÐ¿ÑÐµÑÐ°ÑÐ¸Ñ Ð´Ð°Ð½Ð½ÑÑ Ð² ÐºÐ¾Ð½ÑÐµÐºÑÑÐµ Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÑÐ´Ð¾Ð². Ð ÑÐ°Ð¼ÐºÐ°Ñ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¸ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ Ð´Ð²ÑÑ Ð·Ð°Ð´Ð°Ñ: Ð·Ð°Ð´Ð°ÑÐ° ÐÐ°Ð²Ð¸Ð´Ð¾Ð²Ð° Ð´Ð»Ñ ÑÑÐ´Ð½Ð° Ñ ÑÑÐµÑÐ³Ð¾Ð»ÑÐ½ÑÐ¼ Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½ÑÐ¼ ÑÐµÑÐµÐ½Ð¸ÐµÐ¼ Ð¸ Ð·Ð°Ð´Ð°ÑÐ° Ð¤Ð°Ð½-Ð´ÐµÑ-Ð¤Ð»Ð¸ÑÐ° Ð´Ð»Ñ ÑÑÐ´Ð½Ð° Ñ Ð¿ÑÑÐ¼Ð¾ÑÐ³Ð¾Ð»ÑÐ½ÑÐ¼ Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½ÑÐ¼ ÑÐµÑÐµÐ½Ð¸ÐµÐ¼. ÐÐ½Ð°Ð»Ð¸Ð· Ð²ÐºÐ»ÑÑÐ°Ð» Ð¸Ð·ÑÑÐµÐ½Ð¸Ðµ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ ÑÑÐµÑÐ³Ð¾Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¸ Ð¿ÑÑÐ¼Ð¾ÑÐ³Ð¾Ð»ÑÐ½Ð¾Ð³Ð¾ Ð±ÑÑÑÑÐµÐ² Ñ Ð½ÐµÐ¿Ð¾Ð´Ð²Ð¸Ð¶Ð½ÑÐ¼Ð¸ ÑÐ¾ÑÐµÑÐ½ÑÐ¼Ð¸ Ð³ÑÑÐ·Ð°Ð¼Ð¸ Ð¸ Ñ Ð¿Ð¾Ð´Ð²Ð¸Ð¶Ð½ÑÐ¼ ÑÐ²ÐµÑÐ´ÑÐ¼ Ð³ÑÑÐ·Ð¾Ð¼. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾ÐºÐ°Ð·Ð°Ð»Ð¸, ÑÑÐ¾ ÑÑÐµÐ±Ð¾Ð²Ð°Ð½Ð¸Ñ Ðº ÑÐ¾ÑÐ¼Ðµ Ð¸ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ ÑÑÐ´Ð½Ð° Ð²Ð¾Ð·ÑÐ°ÑÑÐ°ÑÑ Ñ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸ÐµÐ¼ Ð¼Ð°ÑÑÑ Ð¸Ð»Ð¸ ÑÐ°Ð·Ð¼ÐµÑÐ° Ð³ÑÑÐ·Ð°, ÑÑÐ¾ ÑÐ²Ð»ÑÐµÑÑÑ ÐºÑÐ¸ÑÐ¸ÑÐµÑÐºÐ¸ Ð²Ð°Ð¶Ð½ÑÐ¼ Ð´Ð»Ñ Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. ÐÐ¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð²ÑÐ²Ð¾Ð´Ñ Ð¾Ð±Ð»Ð°Ð´Ð°ÑÑ Ð±Ð¾Ð»ÑÑÐ¾Ð¹ Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð·Ð½Ð°ÑÐ¸Ð¼Ð¾ÑÑÑÑ Ð¸ Ð¼Ð¾Ð³ÑÑ Ð±ÑÑÑ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ñ Ð¿ÑÐ¸ Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ð¸ Ð¸ ÑÐºÑÐ¿Ð»ÑÐ°ÑÐ°ÑÐ¸Ð¸ ÑÑÐ´Ð¾Ð², Ð¾Ð±ÐµÑÐ¿ÐµÑÐ¸Ð²Ð°Ñ Ð¸Ñ Ð±ÐµÐ·Ð¾Ð¿Ð°ÑÐ½Ð¾ÑÑÑ Ð¸ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ. ÐÐµÑÐ¾Ð´Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ð¹ Ð¿Ð¾Ð´ÑÐ¾Ð´, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð½ÑÐ¹ Ð² Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ, Ð¼Ð¾Ð¶ÐµÑ Ð±ÑÑÑ Ð°Ð´Ð°Ð¿ÑÐ¸ÑÐ¾Ð²Ð°Ð½ Ð´Ð»Ñ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð´ÑÑÐ³Ð¸Ñ ÑÐ¸Ð¿Ð¾Ð² Ð¿Ð»Ð°Ð²Ð°ÑÑÐ¸Ñ ÑÐµÐ», ÑÑÐ¾ ÑÐ°ÑÑÐ¸ÑÑÐµÑ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐ¸ ÐµÐ³Ð¾ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð² Ð¸Ð½Ð¶ÐµÐ½ÐµÑÐ½Ð¾Ð¹ Ð¿ÑÐ°ÐºÑÐ¸ÐºÐµ. ÐÑÐ¾Ð¼Ðµ ÑÐ¾Ð³Ð¾, ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð´Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ¿Ð¾ÑÐ¾Ð±ÑÑÐ²ÑÑÑ ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ñ Ð¾Ð±ÑÐµÐ¹ ÑÐµÐ¾ÑÐ¸Ð¸ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð¿Ð»Ð°Ð²Ð°ÑÑÐ¸Ñ ÑÐµÐ» Ð¸ Ð¼Ð¾Ð³ÑÑ Ð±ÑÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ñ Ð´Ð»Ñ Ð´Ð°Ð»ÑÐ½ÐµÐ¹ÑÐ¸Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ Ð² ÑÑÐ¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸, Ð° ÑÐ°ÐºÐ¶Ðµ Ð´Ð»Ñ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¸ Ð½Ð¾Ð²ÑÑ Ð¸Ð½Ð¶ÐµÐ½ÐµÑÐ½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð¸ ÑÐµÑÐ½Ð¾Ð»Ð¾Ð³Ð¸Ð¹.
description: The objective of this research is to explore the stability conditions of variously shaped floating bodies carrying different loads, and to analyze how these conditions affect system behavior. Consequently, the following objectives are addressed throughout the study: â¢ Developing mathematical models for floating bodies with triangular and rectangular cross-sections. â¢ Deriving analytical expressions for stability conditions with fixed point loads. â¢ Evaluating the stability of floating bodies with dynamic loads. â¢ Generating graphs and visually presenting the results. â¢ Contextualizing the data within ship design. The study delves into modifications of two problems: Davidovs problem for a triangular cross-section vessel and van der Fleets problem for a vessel with a rectangular cross-section. The investigation encompasses analyzing the stability of triangular and rectangular beams with stationary point loads and solid movable loads. The findings indicate that the requirements regarding vessel shape and density escalate with increasing mass or size of the load, a crucial consideration for design purposes. The conclusions drawn from this research hold significant practical implications, applicable in the design and operation of ships, ensuring their safety and efficacy. The methodological approach adopted herein can be adapted for analyzing diverse types of floating bodies, thus broadening its utility in engineering practice. Additionally, the outcomes of this study contribute to advancing the overarching theory of floating body stability and can be leveraged for further exploration in this domain, as well as for developing innovative engineering solutions and technologies.