Research on Static Tension Ratio Characteristic of Double-Vessel Friction Hoist System Components

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1 TELKOMIKA Indonesian Journal of Eletrial Engineering Vol., o., Otober 4, pp. 78 ~ 73 DOI:.59/telkomnika.vi Resear on Stati Tension Ratio Carateristi of Double-Vessel Frition oist System Components Xie Lirong*, Ge Laifu, Kong Jun, Ceng Jing Eletrial Engineering College of Xinjiang University, Urumqi, 8347, Cina *Corresponding autor, wywwwxr@63.om Abstrat Double-vessel multi-rope frition oist system, of wi te lifting, starting, running, and braking must meet te safety onditions in operation. on-skid safety boundary onditions were originally determined by Euler s formula. In order to avoid te omplex task of ek and ek-again alulation in te frition oist system design. In tis resear, stati tension ratio, wi was losely bonded wit antiskid design was diretly brougt into te analysis and resear on te system. As a result, arateristi of stati tension ratio of omponent quality of frition oist system was found, wi offers a simple, sound and reliable teoretial foundation for te anti-skid and optimiation of system onfiguration. Keywords: double-vessel frition oist system, stati tension ratio, non-skid safety, dimensionless relative value Copyrigt 4 Institute of Advaned Engineering and Siene. All rigts reserved.. Introdution Multi-rope frition oist is one of te most important equipment in oal, blak metal, non-ferrous metal and emial mining prodution. Frition oist system an be divided into double-vessel frition oist and single-vessel frition oist system. Double-vessel frition oist system, is generally used for single level (layer) lifting only, and a single-vessel frition oist system an be used for multiple levels (layers) lifting. Based on priniples of fritional fore multi-rope frition oist requires tat tat te system an brake wit non-skid seurity omplying wit te given torque of deeleration weter in normal operation or in emergeny, and tat tere is on skid between te oisting rope and te frition pulley. Te problem of slip in frition oist is of great importane relating te safety of mining prodution. Until reently, a lot of resear on te problem of slip in frition oist as been onduted by solars worldwide. Te existing resear are mainly foused on atual parameter, ombined wit te safety regulation in anti-skid eking alulation and anti-skid measures [4-7] witout onsidering establising te matematial model of frition oist omponent quality using dimensionless relative parameters systematially. As a result, system optimiation and resear on stati tension ratio arateristi of frition oist ave been restrited. Fousing on double-vessel frition oist system, tis paper arried out te resear on te relationsip between stati tension ratio and system omponent, using dimensionless relative parameters. Double-vessel multi-rope frition oist is mainly onsist of fritional pulley, oisting rope, oisting vessel and balane rope et., as sown in Figure. Figure. Te Mode of Frition oist System Reeived January 8, 4; Revised June, 4; Aepted July 5, 4

2 TELKOMIKA ISS: Symbol Definition.. Atual Parameter Definition Plenty of parameters are involved in double-vessel frition oist system. Symbols involved are defined as follows: () Deadweigt of vessel (kg); Rated load (kg); Stati tension ratio. () oisting rope parameters umber of oisting rope n; Weigt of rope per meter p(kg/m); Ultimate lengt of suspension oisting rope L o (m); eigt of suspension oisting rope o (m)... Dimensionless Relative Parameter Definition A proper value sould be seleted as te based value first, and ten te dimensionless relative parameters are defined as: Vessel deadweigt oeffiient ere, was seleted as te based value. Weigt oeffiient of suspension oisting rope eigt oeffiient of suspension oisting rope np.. L 3. System Components and Stati Tension Ratio Stati tension ratio is te ratio between te maximum tension side and te minimum tension side of te frition weel, or rater. T. T T stands for te value of te maximum stati tension side, and T stands for te value of te minimum stati tension side. Wile stati tension ratio is equal to or smaller tan te boundary maximum value [] permitted ( []), te safety regulation of te system is met. Oterwise, te anti-skid safety regulation will not be met, and te system will be at risk. 3.. Vessel Deadweigt Coeffiient and Suspension oisting Rope eigt Coeffiient Te maximum stati tension ratio of double vessel frition oist is te tension ratio between te full load maximum tension side and te load-free minimum tension side of te frition weel [, 3, 8]. So: np np () Equation () sows tat te value of stati tension ratio is ompletely determined by te value of vessel deadweigt oeffiient and eigt oeffiient of suspension oisting rope, and will derease as or inreases. Te maximum stati tension ratio of doublevessel frition oist system is equivalent to te summation of and te reiproal of suspension oisting rope weigt oeffiient of load-free side. Resear on Stati Tension Ratio Carateristi of Double-Vessel Frition oist (Xie Lirong)

3 7 ISS: () It is revealed by equation () tat te value of will derease as te value of inreases. So, only by anging te value of, te value of an be adjusted... Minimum Permitting eigt of Suspend oisting Rope By anging te form of equation () te ultimate suspension eigt oeffiient an be expressed as a funtion of and. ( ) (3) Equation (3) sows tat wile equals to te maximum value permitted onsidering anti-skid safety, and is onstant, will be te minimum value of suspend oisting rope eigt oeffiient, and will derease as inreases. If te suspension oisting rope eigt oeffiient is smaller tan te minimum eigt oeffiient min, te value of will be greater tan te maximum value permitted, wi violates te anti-skid safety onditions. So te value of figured out by Equation (3) is te minimum value of suspension oisting rope eigt oeffiient of double-vessel frition oist system, namely te minimum value of permitted witin te safety boundary ondition..3. Minimum Vessel Deadweigt Vessel deadweigt oeffiient an be figured out by anging te form of Equation (3). (4) Equation (4) sows tat wile equals to te maximum permitting value onsidering anti-skid safety, and stands for a ertain value, ten te value of figured out by Equation (4) is te minimum value of deadweigt of vessel and will derease as inreases. If te vessel deadweigt oeffiient is smaller tan te minimum value of vessel deadweigt oeffiient, te value of will be greater tan te maximum permitting value, wi violate te anti-skid safety regulation. Terefore, te value of vessel deadweigt oeffiient figured out by Equation (4) is te minimum one. 3. Dimensionless Relative Value of System Component Parameters and Stati Tension Ratio Te dimensionless relative value of system omponent parameters an be obtained by replaing involved in ea equation [9~3] by Equation (4). Weigt oeffiient of ultimate eigt of suspension oisting rope. L npl (5) Weigt oeffiient per meter of oisting rope. TELKOMIKA Vol., o., Otober 4: 78 73

4 TELKOMIKA ISS: p p* / nl Weigt oeffiient of atual eigt of suspension oisting rope. (6) np ( ) (7) Weigt oeffiient of load-free vessel side. np (8) Weigt oeffiient of full load vessel side. m np (9) Coeffiient of te summated weigt of bot sides wen one side is load-free and anoter is full load. m ( np ) () Coeffiient of te summated weigt of bot sides wen bot sides are load-free. ( np ) () Coeffiient of te summated weigt of bot sides wen bot sides are full load. mm ( np ) () It is revealed by equation (5)~() tat ea oeffiient is inversely proportional to -, and te value of, p *, are all equal. In addition, ea oeffiient is a funtion of single L variable wit an exept tat and are funtions of and. 4. Parameters in Various Forms Sine te stati tension ratio is te ratio of stati tension of two sides of frition weel, funtions of an be onverted into funtions of T and T. Symbols of dimensionless relative parameters of system omponents and its relationsip wit atual parameters, oter dimensionless relative parameters, stati tension ratio and stati tension T are listed in te table bellow. Resear on Stati Tension Ratio Carateristi of Double-Vessel Frition oist (Xie Lirong)

5 7 ISS: Table. Parameters and Its Various Forms of Frition oist Components o. Symbol Atual parameters relative parameters C funtion T funtion L * p m O OO mm Om np npl p nl np np np ( ) ( ) np ( np ) ( ) T T T T T T T T T T Ditto Ditto Ditto Ditto Ditto Ditto ( ) ( ) T T T T T T T T T T T T T As is sown in Table, ea parameter of system omponents an be expressed in four forms. Tey are te form of atual value, te form of dimensionless relative value, funtions of stati tension ratio and funtions of stati tension of te oisting rope. Ea of te four as its unique feature and value. () Atual value parameters: Intuitive, easy to understand and master. () Dimensionless relative value: Abstrat, it an simplify te alulation; signifiantly, truts and rules in te problem an easily be revealed and teoried. (3) Te funtion: Using stati tension ratio in alulation witout te need of anti-skid eking alulation, it an make te optimiation and dispat of te system more valid, sound and reasonable. (4) Te stati tension T funtion: Mainly used in te eking alulation, safety inspetion and equipment testing of te oist system before appliation. One te minimum weigt of load-free side is measured, numerous oter parameters are determined as well. 5 Conlusion At present, in frition oist engineering, system omponents and its parameters are usually pre-seleted and ten eked by alulation weter or not te pre-seleted omponents and its parameters omply wit te anti-skid safety regulations. If not, te related omponents and its parameters sould be adjusted and eked over again by alulation. Only wen all of te anti-skid safety regulations are satisfied an te parameters be finally determined. Tis is te so-alled euristi algoritm, wi an not be avoided in engineering using atual parameters. TELKOMIKA Vol., o., Otober 4: 78 73

6 TELKOMIKA ISS: () In order to avoid te sortoming and failitate te design in frition oist system, stati tension ratio was diretly brougt into te alulation in dimensionless relative parameters. As a result, parameter value figured out by tis means fits te anti-skid safety regulations very well. () Four forms of omponent parameters are offered in te paper to failitate te design in engineer. Ea as its unique feature and value. Tey an also be onverted into ea oter, making te design and alulation more onvenient. (3) It is revealed by table I tat te quality of system omponent inreases as te eigt of suspend oisting rope inreases, dereases as stati tension ratio inreases, and dereases as te tension margin of two sides of frition weel inreases. Aknowledgements Tis resear is sponsored by te ational ature Siene Foundation of Cina (numbered 56436, and 6363). Referenes [] ang Fude. Te mine oist equipment. Beijing. Cina Coal Industry Publising ouse. 4. [] PR. Cina State Administration of uality Supervision Inspetion and quarantine. Cina ational Standardiation Management Committee. GBl Safety regulations for metal and nonmetal mines. Beijing. Standards Press of Cina. 6. [3] Wang Yunmin. Cina mining equipment manual. Beijing. Siene Press. 7. [4] Xiao Xingming, Wu Jun, Ma Ci. Dynami analysis and Simulation on sliding proess of multi-rope frition oist. International onferene on meani automation and ontrol engineering. oot. MACE, : -3. [5] Li igui, Wang engyi, Lu Jieng. Analysis and Calulation of Emergeny Braking Antiskid Cek of Multiple-rope Frition Mine oist. Coal mine mainery. 6; 7():4-6 [6] an Jianqiu, Yang Jinyan. Anti-skid eking alulation and analysis of multi-rope frition oist. Gold, 8; 9(): 3-3. [7] Sun uifeng, Ma Guirong. Frition oist meanism of ation and safety protetion measures. Coal mine mainery, ; 3(7): [8] Wang Lei, Lei Ruai. Resear and analysis of multi-ables frition oisting equipment. Coal mine mainery, ; 3(9): [9] Xie Yilong. Appliable range of eigt of multi-rope frition oist. Mining & Proessing Equipment. 984; (): 4-. [] Xie Yilong. Optimiation of multi-rope frition oist appliation. Mining & Proessing Equipment. 986;(): -8. [] Xie Lirong, Wang iyong. Resear on Calulation of dragging system. Mining and proessing equipment. 7; 35(): [] Xie Lirong. An optimal metod of alulation of te tration fore for elevators. Maine design and resear. 8; 4(3): 3-5. [3] Xie Lirong. Study on omponents arateristis of multi-rope frition oist based on dimensionless performane. Coal mine mainery. 3; 34(): [4] Guoua CAO, enai U, Weiong PEG, Xingguo SAO. Coupled Extensional-torsional Vibration Frequeny of oisting Rope in Tower-type Frition Drive oist System. [5] Mangalpady Aruna, Sunil M Jaralikar. Design of Ligting System for Surfae Mine Projets. Telkomnika Indonesian Journal of Eletrial Engineering. ; (): [6] Barkand TD. Appliation of a suspension rope brake to a single rope mine oisting system. Soure: Conferene Reord of te IEEE Industry Appliations Soiety Annual Meeting (Cat. o.9c346-8). 99; : 4-6. [7] Jianqun Xiang, Yunong Liu, Dan Dong, Meng ang. Resear on Mining Development in Yunnan under Eologial Environment Compensation. Telkomnika Indonesian Journal of Eletrial Engineering. 3; (5): [8] Y Pan. Meanial design of mine oist. Xuou. Cina University of Mining & Tenology.. Resear on Stati Tension Ratio Carateristi of Double-Vessel Frition oist (Xie Lirong)