
eksandhata

shastriy yantrikimadhye, anharmonicity mhanje pranaliche harmonic ausilator asanyapasun honare vichalan. harmonic gatimadhye dolan naan karananya ausilatorla anharmonic ausilator mhanoon olakhale jaate jithe pranalila harmonic ausilatorshi andaje kele jaau shakate aanee vikshobh siddhant vaparoon anaermonicitychi ganana kelee jaau shakate. jarr anharmonicity mothee asel tarr itar sankhyatmak tantre vaparavi lagtil. pratyakshat serve dolan pranali harmonic asatat, parantu bahutek andaje harmonic ausilator dolanche amplitude jitke lahan asel titke lahan asate.
parinami, frequency sootra _ 1 aanee sootra _ 2 ityadisah dolan.jethe sootra _ 3 hii ausilatorchi moolbhut varanvarta aahe, teey disate. yavyatirikt, frequency sootra _ 3 heey harmonic ausilationchya frequency sootra _ 5 pasoon vichalit hote. intermodulation aanee combination toone dekhil pahaa. pahila andaj mhanoon, frequency shift sootra _ 6 heey ausilation amplitude sootra _ 7 chya vargala pramanbaddh aaheh
naisargik frequency sootra _ 9, sootra _ 10, asalelya ausilatorchya pranalimadhye... anharmonicitymule frequency sootra _ 11 saha atirikt dolan hote.
anharmonicity anunad vakratechya urja profilemadhye dekhil badal karate, jyamule foldover prabhav aanee superharmonic anunad yasarkhya manoranjak ghatana ghadatat.
sarvasadharan tattva.
ausilator hii eka bhautik pranali aahe jee pendulam, tuning konta kinwa compan karnara dietomic renu yasarkhya niyatkalik gatidware darshavili jaate. ganitiyadrushtya sangayache tarr, ausilatorche aavashyak vaishishtya mhanje pranalichya kahee nirdeshank 'x' sathee, jyache pariman 'x' varr avalambun aahe tee shakti 'x' laa charam mulyanpasoon door aanee kahee kendriya mulyachya 'x0' kadey parat dhaklel, jyamule 'x' heey uchchankandarmyan dolan karel. udaharanarth, 'x' heey lolkala tyachya vishrantichya sthanavarun 'x = 0' asey sthanantar darshavu shakate. jasjase 'x' chey paripoorn moolya vadhate, tasatase lolkavar karya karnari punarsanchayit shakti dekhil karate jee tyala tyachya vishrantichya sthanakade mage dhakalate.
harmonic ausilatormadhye, punarsanchayit shakti tyachya naisargik sthan "x0" pasoon "x" chya visthapanachya parimananusar (aanee viruddha dishene) pramananusar asate. parinami honare vibhedak samikaran soochit karate qee "x" neey kalantarane pranalimadhye antarbhut asalelya dolan kalavadhisah cyanusidely dolan kele pahije. "x" konatyahi amplitudes dolan karoo shakate, parantu tyacha kalavadhi nehmich sarkhach asel.
tathapi, anharmonic ausilator heey visthapan x varr punarsthapana shaktiche araikhik avalambitva darshavtat. parinami, anharmonic ausilatorcha ausilationcha kalavadhi tyachya ausilationchya amplitudever avalambun asoo shakato.
harmonic ausilatorchya nonlinearitycha parinam mhanoon, pranalichya visthapananusar compan varanvarta badaloo shakate. compan varanvartetil yaa badalanmule moolbhut compan varanvartepasun itar varanvartemadhye urja parametric coupling mhanoon olakhalya jaanarya prakriyedvare jodali jaate.
x chya naisargik sthanavarun visthapanache "f (x-x0)" heey eka karya mhanoon nonlinear restorative forcela vicharat ghetalyas, aapan shoonya visthapan asatana "f" laa tyachya resheey andaje "f1" = "f '(0) * (x-x0)" neey badaloo shakato. andaje karya "f1" resheey aahe, mhanoon teey sadhya swarmelatmak gatiche varnan karel. pudhe, jevha 'x-x0' lahan asate tevha heey karya 'f1' achook asate. yaa karanastav, joparyant dolan lahan aahet toparyant anharmonic gateela harmonic gatee mhanoon andaje mojale jaau shakate.
bhautikshastratil udaharane.
sampoorn bhautik jagaat asha anek pranali aahet jyaa nonlinear maas-spring pranali vyatirikt anharmonic ausilator mhanoon model kelya jaau shakatat. udaharanarth, nakaratmak prabharit electronic dhagane vedhalelya sakaratmak prabharit kendrakane banalela anoo, jevha vidyut kshetra asate tevha kendrakachya vastumanachya kendrasthani aanee electronic dhagamadhye visthapan anubhavato. tyaa visthapanache praman, jyala vidyut dvidhruv kshan mhanatat, teey lahan kshetransathi lagoo kelelya kshetrashi reshiyapane sambandhit aahe, parantu kshetrache pariman vadhalyamule, yantrik pranalipramanech kshetra-dvidhruv kshan sambandh araikhik hoto.
anharmonic ausilatorchya pudhil udaharananmadhye mothya konatale lolak samavisht aahe; nonquilibrium semiconductors jyamadhye mothya pramanat garam vahak sankhya asate, jeey vahakanchya prabhavi vastumanashi sambandhit vividh prakarchya nonlinear vartane pradarshit karatat; aanee ionospheric plazma, jeey plasmachya anharmonicitiver aadharit nonlinear vartan dekhil pradarshit karatat, transversal ausilating string. kharey tarr, jevha tyanche pump amplitude kahee maryadechya palikade vadhate tevha aksharshah serve ausilator anharmonic banatat aanee parinami tyanchya vartanache varnan karnyasathi gatichi nonlinear samikarane vaparane aavashyak aahe.
jaali aanee aanvik compan, quantum ausilation aanee dhvanishastrat anharmonicity bhoomika bajavate. renu kinwa ghanatil anoo tyanchya samtol sthitibaddal compan karatat. jevha yaa compananche amplitude lahan asate tevha tyanche varnan harmonic ausilatordware kele jaau shakate. tathapi, jevha companshil amplitude mothe asatat, udaharanarth uchch tapmanat, anharmonicity mahattvachi tharate. ghan padarthancha aushnik vistar heey anharmonicitychya parinamanche eka udaharan aahe, jyacha abhyas samanyatah ardh-harmonic andajat keela jaato. quantum yantrikicha vapar karoon compan karananya harmonic pranalincha abhyas karane heey sangankiyadrushtya aavhanatmak karya aahe kaaran harmoniktemule pratyek ausilatorne anubhavalelya sambhavyatechi keval guntagunt hott nahee tarr ausilatormadhil jodani dekhil suru hote. renu aanee ghan yaa donhimadhil anoonni anubhavalelya harmonic potentialcha nakasha tayar karnyasathi ghanata-karyatmak siddhantasarkhya pratham-tattvanchya paddhatincha vapar karane shakya aahe. tyanantar mean-feeled siddhantat anunsathichya anharmonic vibrational samikarananche nirakaran karoon achook anharmonic vibrational urja prapt kelee jaau shakate. shevati, madhyam-kshetra aupchariktechya palikade jaanyasathi moller-playset vikshobh siddhant vaparane shakya aahe.
dolanancha kalavadhi.
sambhavya vihirichya sutramadhye firnare vastuman sootra _ 12 vicharat ghya. dolan kalavadhi vyutpann keela jaau shakato