Stability of Ships and Other Bodies

Please Update
Abstract
Why Abstract
Short Abstract
Prologue For This Book
Version 0.8.? April 1?, 2022
pages 28? size 7.?M
Version 0.8.2 April 13, 2022
pages 283 size 7.4M
Version 0.8.0 Jan 17, 2022
pages 278 size 7.3M
Version 0.7.5 Jan 17, 2022
pages 261 size 7.0M
Version 0.7.0 Dec 14, 2021
pages 237 size 6.7M
pages 237 size 6.7M
Version 0.6.5 Oct 23, 2021
pages 223 size 5.3M
Version 0.6.0 Sep 27, 2021
pages 203 size 4.5M
Version 0.5.5 Aug 22, 2021
pages 179 size 3.7M
Version 0.5 June 4, 2021
pages 159 size 3.3M
Acknowledgment
CONTRIBUTORS LIST
How to contribute to this book
Credits
Steven from artofproblemsolving.com
Dan H. Olson
Richard Hackbarth
Kosamo Mazer
John Motanizitz
Jimi Tan
Ahsan Ibn Muhammed Ibn Yusuf
Various Rolling researchers
Galina Yakovlevna Dynnikova
Your name here
Typo corrections and other "minor" contributions
Nomenclature
The Book Change Log
Version 0.8.?
April 13, 2022 (7.?M 28? pages)
April ?, 2022 (7.?M 28? pages)
Version 0.8.2
April 13, 2022 (7.4M 283 pages)
April 13, 2022 (7.4M 283 pages)
Version 0.8.0
March 17, 2022 (7.3M 277 pages)
Mach 25, 2022 (7.3M 277 pages)
Version 0.7.5
Jan 17, 2022 (7.0M 261 pages)
Oct 26, 2021 (7.0M 261 pages)
Version 0.7.0
Oct 26, 2021 (5.3M 229 pages)
Version 0.6.5
Sep 26, 2021 (4.5M 205 pages)
Version 0.6.0
Sep 26, 2021 (4.5M 205 pages)
Version 0.5.5
Aug 22, 2021 (3.9M 179 pages)
Version 0.5.2
July 1, 2021 (3.5M 167 pages)
Version 0.5.1
June 25, 2021 (3.5M 163 pages)
Version 0.5.0
June 15, 2021 (3.3M 159 pages)
Copyright Notice
GNU Free Documentation License
Preamble
1. Applicability And Definitions
2. Verbatim Copying
3. Copying In Quantity
4. Modifications
5. Combining Documents
6. Collections Of Documents
7. Aggregation With Independent Works
8. Translation
9. Termination
10. Future Revisions Of This License
Addendum: How to use this License for your documents
How This Book Has Been Written
How cooperation work
The Smart–ass Questions
More info
Initial
Preface
Introduction to Stability
What is Stability of Floating Bodies?
History of Ship Stability
Original History
Recent Developments
Rolling Rotation
Summary
Marine Bodies Definitions
Opening Remarks on Definitions
Salinity and temperature effects
Load Lines
Tonne Per Centimeter
Deviations From the Design
Ship Length
Ship Length
Special Dimensions of the Ships
Summary
Mathematics For Stability
Differentiation
Integration
Vectors and Coordinates System
Vector Algebra
Cylindrical Coordinates
Numerical Analysis
Integration
Simpson's Rule
Summary
Mass Centroid
Actual Mass Centroid
Approximate Centroid of Area
Change of Centroid Location Due to Area Change
Change of Mass Centroid Due to Addition or Subtraction of Mass in 3D
A Small Change in Angle of Rotation
Transformation of Coordinates
Appendix
Moment of Inertia
Moment of Inertia for Mass
Moment of Inertia for Area
General Discussion
The Parallel Axis Theorem
Examples of Moment of Inertia
Product of Inertia
Transfer of Axis Theorem
Principal Axes of Inertia
Pressure
Introduction
Fluid Forces on Surfaces
Fluid Forces on Straight Surfaces
Pressure Center
Pressure on Floating Body
Summary
Buoyancy
Introduction
Examples
Applications of Buoyancy
Practical questions
Direct Examination
Introduction
Centroid of Floating Body or Buoyancy Centroid
Introduction to Direct Examination Method
The Direct Examination
Usage of Stability to find Centroid
Potential Energy Approach
Metacenter
Introduction
Application of GM-.4
Unstable Bodies, Negative GM-.4
The G-.4Z-.4 diagram
Stability of Body with Shifting Mass Centroid
Neutral frequency of Floating Bodies
Limitations
Metacentric Height, GM-.4, Measurement
Stability of Submerged Bodies
Stability of None Systematical or ``Strange'' Bodies
Variable Density Floating Bodies
Added Mass and Transfer Properties
Introduction
History
What is the Added Mass?
The Added Mass Matrix of a Body
Added Moment of Inertia Coefficients
Calculations of the Added Mass
Transfer Mechanisms and Transfer Properties
History of Transfer Properties
Introduction
Transfer Linear Motion to Rotating Motion
The Parallel Axes Theorem for Added Mass
Experimental Observation
Added Mass and Transfer Properties
Added Moment of Inertia
Introduction
Rolling
Introduction
The Quasi–State Foundation
Historical Background
Physical Considerations
The Effect of Added Properties
The change of density effect
Rolling Governing Equations
The Simplest Case
Double Pendulum: Simplifications
Double Pendulum with Point Masses
Double Pendulum with Circular Motion with Mass Distribution
Double Pendulum with Linear Motion
Floating in Heave Movement
Pendulum With Moving Hinge Point
Change of Center of Rotation
Dimensional Analysis
Introductory Remarks
Brief History
Theory Behind Dimensional Analysis
Dimensional Parameters Application for Experimental Study
The Pendulum Class Problem
Buckingham—-Theorem
Construction of the Dimensionless Parameters
Similarity and Similitude
Summary
Experiments for Stability
Introduction
Stability Points of Various Bodies
Concept
Description
Apparatus
Procedure
Data Analysis
Additional Questions
Cylinder Stability Diagram
Concept
Description
Apparatus
The procedure
Data Analysis
Additional Questions
GM-.4 experiments
Concept
Description
Rig
Procedure
Measurements
Data Analysis
Additional Questions
References
Data-.4
Bibliography
Index