ويركزمعهد بحوثالعامة لليمينغ الصناعة الثقيلةفي مجال البحوث وتطوير التكنولوجيا المتقدمة والمنتجات الموجهة لصالح العملاء، فضلا عن بناءالقدرة التنافسية الجوهريةليجعل يمينغالصناعة الثقيلةرائدةفي هذه الصناعة.من خلال توفيرنتائج البحوثالأساسية، ويدعم المعهديمينغالصناعة الثقيلةالتكنولوجيا والمنتجات لتكون أعلىمنهافي العالمالقائمة.
معهد بحوثالعامة لليمينغ الصناعة الثقيلةهيقسم البحث والتطويرالأوليةللبحوثالتقنيةوالإدارة التقنية. وهي مسؤولة عنتطوير التكنولوجياالمطبقة علىيمينغجميع المنتجات، وإجراء البحوث الفنيةمقدمةعلى المنتجات الجديدةووضعالمعايير؛البحثالاهتزاز، والأثر، والضوضاء، والتكنولوجيا الهيدروليكية، والمطابقة الطاقةوتوفير الطاقة، والمواد الجديدة، وأنظمة التحكم، وخلق تكنولوجياتمبتكرة ومنتجاتحمليوبناءمنصة علىشبكة خاصةوعامةللتجاربوالاختباراتوذلك لتبادل التجربةالعامة ونتائج الاختبار.
floating body is STABLE if, when it is displaced, it returns to equilibrium floating body is UNSTABLE if, when it is displaced, it moves to a new equilibrium Consider a floating Predict the stability of a floating body Example 31 5m Min Freeboard 05m Max Load = ??? 15 tonnes (unloaded) 8m 15m Seawater, ρ = 1025 kg/m3 13 Stability of Floating Bodies University of South Australia
The floating object is stable when the metacentric height 𝑧𝑚 is positive, iethe metacentre is located,above the centre of gravity; else it is unstable The position of the metacentre is A floating body displaces its own weight in the fluid in which it floats, ie, W = FB Immersed body (The buoyant forces acting on a solid body submerged in a Buoyancy and Stability of Immersed and Floating Bodies
STABILITY OF A FLOATING BODY Principle floating body is said to be stable at its position, if it returns to that position following a small disturbance Introduction Laboratory So, for example, the floating body can have a wealth of equilibrium configurations, whereas the heavy top has just two, namely the unstable upright and the Mechanics of floating bodies Proceedings of the Royal Society A
Example Suppose that the body is a cube of side [Math Processing Error] 2 a and of relative density [Math Processing Error] s The waterline section is a square, and [Math Processing Error] A = 4 a 2 and [Math PDF To provide a better understanding of a simple floating body Find, read and cite all the research you need on ResearchGateFluid Mechanics Experiment #1: Stability of Floating Bodies
rotational A floating body has vertical stability but its rotational stability depends upon the positions of G and B If G is below B the equilibrium is stable But if G is above B the Stability of Floating Bodies Pontoon is a term used to donate a flatbottomed vessel which is rectangular in cross section and in plan Considering Figure 3, we have the weight force, W, acting vertically Stability OF Floating BODY S4 G3 DEPARTMENT OF
Objectivestemplate : Stability of Floating Bodies in Fluid When the body undergoes an angular displacement about a horizontal axis, the shape of the immersed volume changes and so the centre of buoyancy moves relative to the body As a result of above observation stable equlibrium can be achieved, under certain condition, even when G is above BA submerged body is stable if its center of mass locates below the center of buoyancy However, this is not the essential condition for stability in floating objects Figure 2 Buoyancy force and center of buoyancy A floating object is stable as far as a resetting moment exists in the event of deflection or tilting from the equilibrium positionENSC 283: Buoyancy and S tability of a Floating Body
For stability the metacentric height GM must be positive Stability (restoring force) increases with increasing GM The objective of this experiment is to find the metacentric height and asses the stability of the several floating bodies Apparatus There are three components of the experimental setup: 1When the body is given a tilting position the body displaces the liquid on the outside At the same time, the liquid inside is changing its mass centroid The moment created by the inside displaced liquid is Min = gρlBβIxxB (46111) (46111) M i n = g ρ l B β I x x B Note that IxxB I x x B isn't the same as the moment of inertia of4611: Stability of Body with Shifting Mass Centroid
Stability of floating body depends on its metacentric height Metacentre of a floating body is defined as the point of intersection of the centre line of cross section containing the centre of gravity and centre of buoyancy with the vertical line through new centre of buoyancy due to any smaller angular displacement of the body22 Fundamentals on Static Stability for Floating Architecture When external forces such as wind act on a floating body, the freefloating body tilts due to the heeling (or overturning) moment introduced by forces such as that caused by wind, with the location of the center of buoyancy (B) shifting leeward and then the platform tilting in the A Study on Stability of Floating Architecture and Its Design
12 Theory of Stability of a Floating Body Figure 2 Derivation of Stability of Floating Pontoon Consider the rectangular pontoon shown floating in equilibr ium on an even keel, as show n in the cross section of Figure 2(a) The weight of the floating body acts vertically downwards through its centre of gravity G and this is balanced bybody Figure 1: The stability of a floating body (CB = center of buoyancy, CM = center of mass, M = metacenter, A = CB in level orientation) The basic geometric features are shown in Figure 1 where the floating body on the left is shown tilted in the righthand diagram Note that when the floating body is tilted, the displaced volume below theStability of a Floating Body California Institute of Technology
Various works have appeared on the stability of containers that are immersed in a fluid For example, Douglas studied the stability of a floating cylinder and found that for certain values of the length–diameter ratio, the cylinder attains stable flotation with its axis at one particular inclination between the horizontal and vertical [9]Fig 436 Schematic of a thin wall floating body Typical examples to explain the buoyancy are of the vessel with thin walls put upside down into liquid The second example of the speed of the floating bodies Since 46: Buoyancy and Stability Engineering LibreTexts
Stability of a Floating Body Laboratory experiment 5 is an exercise in hydrostatic It is designed to demonstrate the stability of a floating cylinder and to familiarize the student with the concept of buoyancy, metacenter and metacentric height It is also an experimental verification of the theory presented in the textbookChapter 4: Buoyancy & Stability Learning outcomes • By the end of this lesson students should be able to: Understand the concept of buoyancy hence determine the buoyant force exerted by a fluid to a body fully submerged or floating Determine whether a floating body is stable or not Understand the metacentre and identify the[PDF] Chapter 4: Buoyancy & Stability Free Download PDF
Figure 4 1 shows that the floating body is at equilibrium orientation and exhibit neutral stability In this case, the centre of gravity (CG) is above centre of buoyancy (CB) In the other hand, figure 4 2 shows when the body rotates slightly, the centre of buoyancy shift to a new position because the geometry of the displaced volume has changedTherefore for stable equilibrium for a floating Partially Submerged Body the Meta centre must be above the Centre of Gravity If the Metacentric height is zero the Body will be in Neutral equilibrium In ship design the choice of the Metacentric height is a compromise between stability and the amount that the ship rollsStability and Metacentric Height Floating Bodies Fluid
By definition, the density of water is exactly 1000 kg/m 3,or 1 g/cm 3 and so Equation 2 can be used to calculate the density of the body If the body ordinarily floats in water, the buoyant force equals its weight To be able to use Equation 2 to determine the density, it is necessary that the body be completely submerged in the waterTHE STABILITY OF A FLOATING BODY 11l1roduct;on When designing a vessel such as a ship, which is to float on water, it is clearly necessary to be able to establish beforehand that it will float upright in stable equilibrium Fig 51 (a) shows such a floating body, which is in equilibrium under the action of two equal and opposite forces, namely(PDF) THE STABILITY OF A FLOATING BODY Academiaedu
Consider a floating body as shown in Fig 41 A floating body orientates itself such that the center of gravity is located vertically above the center of buoyancy For equilibrium, weight of body W = weight of liquid displaced R and W must act in the same vertical straight line Example 41 A block of wood 4m long×2mThis property is used to derive a formula that is useful in determi nation of stability of a floating body pendent coordinates; for example, three co ordinates of its center of mass (or(PDF) On the satiability of floating bodies ResearchGate
lecture and sample problems stability of floating bodies (white pp 92 95) floating body is stable if, when it is displaced, it returns to metacentric height, MG (= zM zG), from MG = MB GB If MG > 0 then body is stable If MG < 0 then body is unstable Example A solid cylindrical pine (SG=0) spar buoy has a cylindrical lead
