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bar meir g stability ships other bodies 2022

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Textbook in PDF format 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

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bar meir g stability ships other bodies 2022