Genetic Algorithm Optimal Design on Diaphragm Spring by MATLAB

Transcription

1 nd Intenational Coneence on Electical Compute Engineeing and Electonics (ICECEE 0) Genetic lgoithm Optimal Design on Diaphagm ping by MTLB huin Chen a Lingyu Zhang b and Xingwang Cheng c Compute Cente Qiqiha Univesity eilongjiang Qiqiha 00 China chool o Mechanical Engineeing Qiqiha Univesity eilongjiang Qiqiha 00 China a shuin@.com b zhangling@.com c 0@qq.com Keywods: Clutch; Diaphagm ping; eseve Coeicient; Optimized Design bstact. Diaphagm sping is one o the key pats o the clutch. The pape set up a mathematical model to optimize its paametes which can be make eseve coeicient stability impove clutch eliability though analyzing its deomation-load chaacteistic cuve. Based on an instance the esults showed that the optimal design paametes wee signiicantly bette than the oiginal design. Intoduction We can ind the diaphagm sping has nice non-linea chaacteistics by compaing with the taditional coil sping clutch. Using it in the clutch could simpliy the stuctue geatly so that the clutch eaches to uttely compact on assembly and tansmit the moe engine toque than the coil. s the optimization enhancing and manuactue pocessing the diaphagm sping has been getting wondeully epand. oweve thei conditions needed thinking ae moe and moe comple. Though using the genetic algoithm (G) to optimize the paametes o the oiginal design we can get a satisied esult epectedly. Beoe the iction disc becomes ineectiveness. Make it what is pessing oce on the diaphagm changes each to minimum. On the othe hand ate the plate invalid the clutch still delivey the engine toque and the oce changes in a small aeas. The diaphagm sping stuctue and deomation-load equation The diaphagm sping constuction as shown above Diaphagm inges and disc sping potion make up the omation[]. The speciic paametes include: the oute adius o diaphagm sping Inne adius o disc height o disc sping Thickness o diaphagm sping h conical bottom angle α Inne adius o diaphagm 0 adius o diaphagm inge in the widest point e The width o the incision in sepaated inge patition Maimum width o slottingload action adius o the clutch cove essue plate beaing action point adius and the numbe o inges n. The diaphagm sping shaped-load equation. While the clutch deomed as the -L omula is shown the elationship between the oute loaded and deomation is: πehl ln ( ) l l l + h ( µ )( ) () Whee E is the modulus o elasticity (Ma) Fo the steel E. 0; µ is oisson atio the value is 0.. s the igue is shown. Based on the thid stength theoy[] is the maimum equivalent stess point. We can deduce its calculated omula: σ VB E l ln ( ) µ + ( ) πβh Whee β is a coeicient o the oot o sepaation inges width and the value is: δ n β π ( + e ) 0. The authos - ublished by tlantis ess 8 l h E () ()

2 ψ α Ya Y X Y X e α- ψ O K Fig tess analysis and distibution o diaphagm sping Genetic lgoithms Based on Evolution and Genetics Genetic algoithm which oiginated in simulating the mechanisms what ae the study o biological systems is a methods which is solving global optimization. This algoithm stats as populations that containing the solution set. Then thee will be omatting a numbe o individual in each intenal population though genetic coding. One thing howeve is cetain: each individual coesponds to a chomosome with the gene coding. Net Many ecellent individual though chomosomal chiasma and mutation which is healy impossible to detemine pass thei genes that accoding to the size o the itness value update and it s highe than the last geneation. It will be not stopped until the conclusions satisied. Finally By compaing the itness value in paallel o individual o each population and selecting the best one etuning it to the use[]. Diaphagm sping woking point. s the sping deomation-load chaacteistic cuve shown we can get it that B is a new diaphagm opeating point in the clutch geneally om ig. the omation at B which is the woking point o pessue condition geneally taken 0.8) ~ 0.7 (. With the iction disk is constantly wea and tea at wok the point will be changed om B to as soon as it ailed. nd the distance is: B Z 0 () Whee Z is a numbe o woking ace clutch iction plate. Fo the single plate Z. 0 is the maimum amount o wea and tea on one side o the clutch iction plate geneally anges is om 0. mm to. mm. When the clutch sepaate completely. The distance whee the sepaation point C to the nomal point B calculation omula is is: Z () Whee is a gap between the clutch iction plate sepaated ully and the install new sping s omation. Fo the single geneally take 0.7 mm to mm. Optimal design model o the diaphagm sping.based on the Eq. we can obtain the independently main paametes h si vaiables and the mathematical model is[]: ( ) ( ) ( ) MinF ω ω + ( ) ( ) ( ) ( ) ( ) [ ] [ ] T T i h i Min Min () ccoding to thei aects make thei weight coeicient is 0.7 and 0. espectively. 8

3 Constaints ()The diaphagm sping load-deomation chaacteistic cuve is gateully impacted by thickness atio the atio should meet a cetain ange:. / h (7) () The atio o the elative size o each potion o the diaphagm sping within a pedetemined ange:.0 /. (8) 70 / h 00 (9). / 0 (0) () To make clamping oce distibuted uniomly on the clutch iction plate the values pessue plate loading point adius should be in the adius o the iction plate and the iction plate diamete namely: D + d D () () While the diaphagm sping in the ee state the diaphagm sping need to meet peomance which is the equiement o the clutch. Its initial cone angle needs to be within a cetain ange o values that accoding to the elationship between the cone and the height. 9 a actan () () Based on sping stuctual layout equiements to to to should be within a cetain ange usually: 7 () 0 () 0 0 () () The diaphagm sping is not only woking in action o the compession sping but also playing a ole o the sepaation device. o its leveage atio should be selected within a cetain ange:. 9.0 () (7) To ensue the stength o the conditions within the allowable ange avoid atigue actue ailue and the stess need to meet: σ V B [ σ VB ] (7) Eamples Based on a single light vehicle models pull-type stuctue paametes o diaphagm sping clutch o the design. The mateial o diaphagm sping is i M n and its allowable stess is 700Mpa. The pimay stuctue paametes ae:.mm h mm 8mm 7.mm 78mm 8.mm and the elease beaing action adius mm the displacement o the sping opeating points elatively is: B.mm; 0 0.9mm; mm. In this case assign the initial population 00 the temination o algeba is 00 the cossove pobability is 0.8 the mutation pobability 0.0. Using the above paametes and object unction to optimize the design and the esult compaed is shown in Table. Dawing the deomation - load chaacte cuve o the diaphagm shown in Fig. It's not diicult to ind thee is needed smalle powe than beoe. epaation handles peomance and the eseve-coeicient becomes stable. Optimized diaphagm sping in the pocess o the pessue wea and tea had been impoved. Both indicatos have been adjusted in the aspects o the maimum oce and the equivalent stess at the maimum stess point ate calculating deceased 0.% and % espectively. 8

4 Table Compaison o the paametes beoe and ate optimization design aametes Oiginal design optimal design /mm.. h/mm /mm /mm 7.. /mm /mm 8.. ma 78 stess 0 8. Conclusions Fig tuctual paametes o diaphagm sping In this pape the esults o the diaphagm sping could be completed ightly with solving the multiple independent vaiables and obtained simultaneously the desied eect. The idea o genetic algoithm is easy to undestand When the G unning it emphasizes the advantages o andomly chosen o global optimization capability. It is a algoithm that easily implemented that ind the optimal solution o the diaphagm sping. cknowledgements ighe Education eom o eilongjiang ovincne Education Depatment oject JG00079; cience and Technology o eilongjiang ovincne oject No.88;Natual cience Foundation o eilongjiang ovince oject No.F0F0; eeences [] Niepage.Vegleich veschiedenen Veahen zu Beech-nung von Telleeden. Daht Bd.N.98:-. [] DomanYasunoiet al.inluence o esidual stess on the load-delection cuve o diaphagm spings o automobile clutches[j].je eview00():97-0. [] ähischm.inluence o the manuactuing pocess on diaphagm spings o commecial vehicles and consideation theeo in the design phase[j]. VDI Beichte00:9-. 8

5 [] Xiuli Guooptimal Design on Diaphagm ping o utomobile Clutch[C]optimal Design on Diaphagm ping o utomobile Clutchabin009: