13is after-resonance in relation to nature blade frequency. The last is considered as solid body oscillation on the hub relative to point A (fig.2). I

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131. INTRODUCTION The use of screw propellers with shifted blade connection (PSBC) results in improving of a number of blade propellers performance characteristics i.e.: ィCdecrease propeller ッs vibroactivity [1]; ィCimprove cavitation characteristics of propeller according to the initial forms of cavitations [2]; ィCimprove hydrodynamics efficiency of contra rotating propellers at variable mode of operation [3, 4]; ィCensure in wide range of propeller loads correlation between propeller and main engine [5]. The last of the listed functions of the PSBC allows in some cases to consider it as similar to control pitch propeller (CPP). Naturally this feature makes the PSBC look like an alternative technical solution in relation to the CPP and taking into account its comparative simplicity, reliability and cost turns it into a very attractive propeller for designers. The PSBC has only one disadvantage compared to a CPP: to reverse a ship it is necessary, like in case with fixed pitch propellers to change the direction of propeller shaft rotation. Such procedure takes much time and results in a rather large distance of ship stopping which does not contribute to the safety of navigation. However the above mentioned drawback of PSBC is negligible if the PSBC is mounted on steering thruster taking into consideration that stopping and reverse of a ship is carried out by rotating it around for 180 and without propeller shaft reversing which takes less time and shortens stopping distance. Efficiency Estimation of Variable Pitch Propeller on Steering Thruster * Leonid I.Vishnevsky, D.Sc,Krylov Shi pbuilding Research Institute, Viktor E. Krasavtsev, Ph.D, State Research and Design Institute for 1 7ishing 1 7leet, GIPRORYB1 7LOT, Anatolij-Branko R. Togunjac, Ph.D, State Research and Design Institute for 1 7ishing 1 7leet, GIPRORYB1 7LOT 2. DESCRIPTION O1 7 PROPELLER DESIGN AND PRINCI- PAL O1 7 OPERATION 1 7ig.1. Steering thruster with contra rotating PSBCs In the formula of claim for patent the construction screw steering thruster with PSBC is described in such a way [6]. ーShip propeller arrangement of type ーsteering thruster ア, including one or two propellers with transmission placed in flow around casing, differing by blades concerned at least with one propeller connected with hub movably with the able of displacement them relative to propeller disk by rotating it around axis going through root part of blade and (or) displacement it along this axis. As an example a steering thruster with two contra rotating PSBCs is shown in the fig.1. It operates as follow: the ship engine (is not shown in the figure) through mechanical transmission (it is possible to use electrical one) including hollow shaft 1 and shaft 2 drives the propellers. The shifting blade 3 of the stern propeller is effected by centrifugal Q c and hydrodynamic Q H moments relative to the shaft 4 (see fig. 2.) caused by centrifugal and hydrodynamics forces. The moments are contra acting and the relative displacement of blade 3 of the stern propeller 5 in the direction opposite to its rotation together with the propeller corresponds to the increasing moment of centrifugal force and decreasing of hydrodynamic force moment as the arm of centrifugal force is increasing and pitch is decreasing. When the blade 3 deflects in the opposite direction the picture is quite different. So the position of blade 3 on the hub is defined by the equality of contra acting moments. The similar statement is true for the bow propeller 6. Depending on the mode of the 1 7ig. 2. Scheme of forces effecting the shifted blade propulsion plant performance i.e. propeller load, the positions of blades will be different. It results in the changing of geometric characteristics of the blade and, correspondingly in the changing of its hydrodynamics characteristics bringing into correspondence performance characteristics of screw and engine and excluding the necessity to use a CPP for this purpose. 1 7or contra rotating propellers it is especially important as the of CPPs for this type of propeller is extremely difficult due to complicated technical solution. (The authors have never faced with the use of a CPP in such situation). Due to rotation of steering thruster for manage to maneuver ship the blades of PSBC are placed in oblique flow and oscillate at the frequency of rotation of shaft line. This mode * This article was presentecl by the authores as paper on XVI Symposium on Theory and Practice of Shipbuilding-SORTA-2004 (Plifvice Lakes, Croatia, 21-23 October, 2004). ィャ060809ィコィ 07 ィー0201ィェィィィコィ : ィェィ ィョィコィ ィィ ィー0201ィェ06050600ィィィィ 01 3(15), 2005 00060809ィコ06ィヲ 090209ィーィェィィィコ 89

13is after-resonance in relation to nature blade frequency. The last is considered as solid body oscillation on the hub relative to point A (fig.2). It allows not only to remove a variable hydrodynamic load with torque but also makes it possible to exclude transverse forces arising in case of the PSBC operation in oblique flow and, as a result, to decrease the hydrodynamic torque necessary to rotate the steering thruster being used as a steering device during the ship ッs motion. The mechanism of transverse force arising on a traditional screw propellers operating in oblique flow is well known. The transverse force arises due to tangential force providing the torque relative of propeller axis. It is less when the blade is moving with oblique flow then quantity of the same force arising on the blade and moving opposite oblique flow. As a result the summarized force named as transverse force does not turn into zero. Similar picture is being watched at the movable blades. However in this case due to oscillating at the after resonance mode an additional inertia force caused by mass of blade and additional water mass is observed. The direction of this force is opposite to variable hydrodynamic force that is why the last may be compensated considerably by the mentioned before. As a result, the transverse force may not be present on the blade of PBSC, which in turn may completely exclude the contribution of transverse force into the hydrodynamic torque arising on the steering thruster. 3. MODEL EXPERIMENT, DESIGN O1 7 SHI1 7TED BLADE AND EVALUATION O1 7 E1 71 7ICIENCY The results of modal comparative tests in cavitation tunnel of the Krylov Institute illustrate the general picture of hydrodynamics characteristics, see fig. 3, 4. 0802, 10*KQ 0,6 0,5 0,4 0,3 0,2 0,1 0 0 0,2 0,4 0,6 0,8 1 1,2 J 1 7ig. 3. Hydrodynamics characteristics, 1 7PP, (n) and PSBC (p) 0, 1 1 0, 0 9 Kq 0, 1 0, 0 8 0, 0 7 0, 0 6 0 0, 2 0, 4 0, 6 0, 8 1 1, 2 J 1 7ig. 4. Changing of coefficient of transverse force, 1 7PP(n), PSBC(p) The hydrodynamic curves of PBSC look more flatten then those of the fixed blade propeller (1 7PP), fig. 3. Geometry of blades of the propellers being compared is similar. The tested PSBC was designed for flow without oblique flow that is why the full compensation of transverse force arising in oblique flow by inertia load are not realized, fig. 4. At the same time the results show that coefficient of transverse force related to ーfree ア blades in wide range of mode operation (in the range of advance ratio J= 0.2 ツ0.85) is less then the same coefficient related to 1 7PP. Let us find the condition that will be met by the geometry of shifted blade and provided the complete compensation of transverse force by inertial load. The forces being the result of liquid effecting on the blade may be defined according to hydrodynamics characteristics obtained in forward flow depending on the instant advance ratio according to formula J 0 sinヲト J = J 0 cosヲト /(1 6モ1 C sin ヲツ ) (1) ヲミ 0.67 where J 0 ィC design value of advanced ratio; ヲト ィC angle of oblique flow; C ィC experimental coefficient, defined in depending on the propeller load and oblique flow and taking into account the effect of non-stationary; ヲツ = ヲリt ィC angle of rotation of blade, (ヲリ = 2ヲミn, t ィC time, n ィC frequency of rotation propeller). Knowing the minimum and maximum values of instant advance ratio from the formula (1) it is easy to define the transverse force arising in oblique flow on 1 7PP. It will be equal to: Z Q K max 6モ1 Q 6メ2 min Q Z = = k = k ヲム 2 4, (2) n D r 0.67 0 where 6メ2K Q ィC range of oscillation of hydrodynamic moment coefficient; Q max, Q min ィC minimum and maximum of values hydrodynamic moment coefficients; r 0 = 0.67D/2 (D ィC propeller diameter); k ィC coefficient which takes into account the deflection of transverse force from its maximum value which is acting on it during one turn of the propeller. In case of sinusoidal changing of the force mentioned (which is close to oblique flow) coefficient k = 0.64. Thus it may be concluded that Z ヨ 6メ2K Q (3) In case of shifted blades in propeller disk the inertia moment is acting in the opposite direction relative to the hydrodynamic moment. The quantity of the last relative to the axis of rotation on the hub is defined by the formula '' 2 QI = J Aヲラ = 6モ1J AAヲリ sin ヲツ, (4) where A ィC amplitude of angle blade shifting; J A ィC inertia moment of blade together with additional moments relative to axis of its rotation on the hub. Then, transverse force connected with blade mass and additional mass relative to axis on the hub and directed against to transverse hydrodynamics force is defined with the formula QIm 6モ1 Q 2J Aヲリ 2 ax Im in A Z I = =, (5) ri ri where r I ィC inertia reduce of blade together with additional moment of inertia relative to the axis of rotation on the hub. In case of shifting blades in propeller disk the coefficient of transverse force may be defined as 2 2 2J AAヲリ ヲミ ヲムb Zヲイ = Z 6モ1 Z I = 6メ2KQ 6モ1 = 6メ2KQ 6モ1 J A A 2 4, (6) ri ヲムn D 2 ヲム where ヲム and ヲム b ィC water density and density of blade material consequently. Let us suggest that geometry of PSBC is designed in such a way that compensation of transverse force is full. Such evaluation t in decreasing hydrodynamics moment which is needed to steering thruster with PSBC when it is used as 90 00060809ィコ06ィヲ 090209ィーィェィィィコ 01 3(15), 2005

13steering device. In this case the geometry of PSBC must be chosen with condition Z 0, see (6) J A ヲイ = 26メ2KQヲム 2 ヲミ ヲム A =, (7) where 6メ2K Q ィC amplitude of quantity of moment coefficient, defined from one rotation at the defined oblique flow. Let us assess the efficiency of PSBC using comparative calculation of hydrodynamic forces acting on steering thruster equipped on trawler project 13010 [7, 8] * as an example. The principle dimensions and coefficients of theoretical ship drawing are as follows: ィClength between perpendiculars L pp = = 46.2 m; ィCbreadth B = 11.2 m; ィCdraft 06 = 4.8 m; ィCdisplacement 6メ3 = 1593 m 3 ィCblock coefficient 05 00 = 0.61; ィCmiddle section coefficient 05 ィー = 0.929; ィCpropeller diameter D = 2.8 m. 1 7or calculation KaMeWa steering thruster make has been chosen, size 24, fig. 5. 1 7ig. 5. General view and size KaMeWa steering thruster (N=1310 mm, G=1755 mm, B=880 mm, C=1100 mm, A=1755 mm) The effecting of hydrodynamics forces on column with pushing and pulling propellers is different. 1 7or the range of angles of rotating column ヲト = 0 ツ35 06, being typical for traditional rudders, the schemes of forces will be similar to those shown in fig. 6 for ヲト = 16 06. The transverse force, arising on the pushing type of with fixed blades, tends to decrease the rudder angle and creates the moment relative to rudder stock being opposite to hydrodynamics moment arising from the force which is effecting the column ッs body, fig 6a. As for the pulling type: the transverse force of propeller tends to increase rudder angle and creates a moment similar to that arising from the force effecting the column ッs body, fig. 6b. b 1 7or the evaluation of transverse force effecting a propeller with non-moving blades (it may be both a controllable pitch propeller or a fixed pitch propeller as well or control pitch propeller (CPP)) operating in oblique flow the results of model tests shown in fig. 3,4 have been used. At the mode of trawling (V s = 6 knots) the taken pitch ratio P/D of CPP of project 13010 corresponds P/D of model which was tested in oblique flow, see fig. 3,4. The transverse force of the propeller of the mode being considered (ヲト = 16, n = 153 min -1, V s = 6 knots ) was 29% of propeller pulling while a ship is running forward. The calculation made for the column with a pulling propeller at trawling at ヲト=16 06 showed that the moment relative to rudder angle due to hydrodynamics force acting on body column is only 10% due to the moment of transverse force acting on propeller (the calculation was based on the rudders data [9]). 1 7or the steering thruster with a pulling propeller the similar evaluation was not made however it is apparent that the prevailing force that creates the moment on the rudder axis is represented by the propeller ッs transverse force. Thus removing or decreasing of the propeller ッs transverse force by using PSBC results in considerable minimization of efforts used to rotate the steering thruster in a wide range ヲト = 0 ツ35 i.e. in ordinary condition of ship steering. This conclusion is correct when contra rotating propellers are used as well. The most unfavorable conditions of propeller operation are stop crushed modes and reversing of ship. During reversing of ship by using rotating of steering thruster for 180 at first propeller operates in highly oblique flow, further (at ヲト ヨ 90 ) practically without axial velocity, i.e. at close to stopping mode and, at last, before ship stopping ィC at the mode of reverse flow (propeller hydrodynamics characteristics corresponds to second quadrant [10], fig 7). Design features of steering thruster restrict parameters which characterize the mode of reversing which results in the use of such loads that are applicable from the point of reliability and strength. As a rule it is expressed in the restrictions of speed of steering thruster rotation and speed of propeller rotation (to decrease power delivered to the screw propeller). The research studies performed by the authors (Vishnevsky L.I. and Togunjac A.R.) in the cavitation tunnel of the Krylov Shipbuilding Research Institute in 1987 showed that at the mode of reverse flow maximum hydrodynamics loads had been observed at the blade frequency, fig. 8a * The development of project 13010 trawler has been ceased at the technical stage, however the results of detailed model tests being carried out in Krylov Ship Research Institute tank make it possible to use them as the data of project 13010 for the efficiency evaluation of new technical solutions and in particular in using the PSBC. The principal variant of 13010 suggested the use of ducted CPP. ィ 1 7ig.6. Scheme of hydrodynamics forces effecting the rotating column, pushing type (a) and pulling type (b), Z ィC transverse propeller force, Z p ィC force effecting the body b ィャ060809ィコィ 07 ィー0201ィェィィィコィ : ィェィ ィョィコィ ィィ ィー0201ィェ06050600ィィィィ 01 3(15), 2005 00060809ィコ06ィヲ 090209ィーィェィィィコ 91

13So it may be concluded that the described above mechanism of decreasing variable hydrodynamic forces acting on steering thruster due to the use of PSBC will operate successfully in the mode of reverse flow as well, and the above mentioned restrictions both on the speed of column rotation and speed of propeller rotation will be partially or fully removed. Decreasing of time of steering thruster rotating for 180 0 at crush stopping and removing or minimizing of restrictions on power delivered to the propeller will result in shorter way of ship stopping and time of its full stop and, consequently, in the safety of navigation. 4. CONCLUSION 1 7ig.7. Mode of reversing flow According to the results obtained with PSBCs mounted on steering thruster it is possible to conclude: ィC equipping a steering thruster with PBSC will considerably minimize efforts for its rotation within the range of turning (for the pushing type for more then two times); ィC applying PBSC is an alternative to CPP, which is very important for contra rotating propellers; ィC use of PBSCs for steering thruster is perspective from the point of improving the reversing characteristics of ship i.e.: decreasing of the stopping way and saving time necessary to stop a ship. The last statement needs to be supported by further research studies. RE1 7ERENCES a b 1 7ig.8. Model tests of propeller blade hydrodynamic load in reverse flow mode: a ィC curve of action K T ィC J blades in four quadrants; b ィC spectrogram of blade thrust, III quadrant, n = ィC15 1/c, J = ィC0.414 (mode No 8) 1. Vishnevsky L.I. Propellers With 1 7ree Blade Connections // Problems of Ship Hydrodynamics, Krylov Shipbuilding Research Institute, 1994. 2. Vishnevsky L.I., Togunjac A.R. Comparative Cavitation Characteristics of Variable Pitch Propeller and 1 7ixed Pitch Propellers Operated in Non ィC Uniform 1 7low. ィC Third International Conference ア Navy and Shipbuilding Nowadays ア, NSN 2003, Saint-Petersburg, Russia, 2003. 3. 00ィィ03ィェ020909ィコィィィヲ 09.06., 060600ィョィェ0702 08.04. 05ィョ01060906ィヲ 0109ィィ03ィィィー0205ィケ: 03ィ ィー02ィェィー ィェィ ィィ0406ィ 0802ィー02ィェィィ02 01 2191136 // 0200ィィ02ィィィ 05ィケィェ04ィヲ ィ 060505. 00060406ィ 0802ィー02ィェィィ0703. ィC 2002. ィC 01 29. (20.10). ィC 000106060306. 4. Vishnevsky L.I., Krasavtsev V.E., Togunjac A.R. Some Aspects of Hydrodynamics of Contra ィC Rotating Propellers With shifted Blade Connection on the Hub. ィC 15 th International Scientific and Professional Congress ーTheory Practice of Shipbuilding ア SORTA 2002, Trogir, Croatia, 2002. 5. Marshall Don S. Variable Pitch Marine Propeller. United States Patent 01 4, 297, 079. 6. 00ィィ03ィェ020909ィコィィィヲ 09.06., 02000506ィ 05ィィィェ 07.08., 060600ィョィェ0702 08.04., 01050701ィー02ィェィコ06 08.00., 08060809ィー 08.08. 05ィョ010609ィ 07 0109ィィ03ィィィー0205ィケィェィ 07 ィョ09ィーィ ィェ0609ィコィ ィーィィ07ィ 00070609060806ィーィェィ 07 ィコ060506ィェィコィ 03. 03ィ ィー02ィェィー ィェィ ィィ0406ィ 0802ィー. 01 2248302. ィC09060505. 00060406ィ 08ィィィー02ィェィィ0703. ィC 2005 (20.03). ィC 01 8. ィC 000106060306. 7. Togunjac A.R., Kaprancev S.V. Projektiranje i modelsko ispitivanje djelotvornosti kontravijka // Brodogradnja 42. ィC 1994. ィC 2. ィC 04.127-133. 8. Togunjac A.R. New Designs of Propulsions for 1 7ishing Vessels. Teorija i praksa ィC Brodogradnje, SORTA- 1996, Zagreb, Croatia, 1996. 9. 0006ィヲィーィコィョィェ09ィコィィィヲ 08.06., 03020803ィィ02 04.08., 06ィィィー0609 06.08. 050708ィ 0906 ツィェィィィコ 0706 ィー020608ィィィィ ィコ0608ィ ィ 0507. ィC 09.: 05ィョ010609ィー080602ィェィィ02, 1973, 09. 447. 10. 0006ィヲィーィコィョィェ09ィコィィィヲ 08.06. 050708ィ 0906 ツィェィィィコ 0706 ィー020608ィィィィ ィコ0608ィ ィ 0507. ィC 06.1. ィC 09.: 05ィョ010609ィー080602ィェィィ02, 1985, 09. 721-723. 92 00060809ィコ06ィヲ 090209ィーィェィィィコ 01 3(15), 2005

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