concreetchi galatee aanee aakunchan

concreetche rengalane aanee sadat jaane heey concreetche done bhautik gunadharm aahet. concreetchi rengal, jee kadak portland cement pastemadhil (jee khanij samuhanchi bandhani aahe) calcium silicate hydratespasoon (see-ess-etch) udbhavate, tee dhatoo aanee polymerchya rengalyapeksha moolbhootpane vegali aahe. dhatunchya rengalyapramane, heey serve taana patalivar ghadate aanee jarr chhidratil panyache praman sthir asel tarr seva taana shreneet, teey tanavar reshiyadrushtya avalambun asate. polymer aanee dhatunchya rengalanyachya ulat, teey anek mahinyanche vruddhatva darshavate, jeey hydrationmule rasayanik kadak honyamule hote jyamule sookshm rachana kadak hote aanee see-ess-echchya nanoe-chhidral sookshm sanrachanet swayam-samatolit sookshm-tananchya dirghakalin shithilatemule bahu-varsh june hote. jarr concrete purnapane valale asel tarr teey rengat nahee, parantu tivra crackingshivay concrete purnapane korade karane ashakya aahe.
korade karane kinwa ole karane yaa prakriyemule chhidranchya panyachya pramanat aakunchan badalanmule bhaar-mukt namunyanmadhye konkreetchya aakarmanat lakshaniy badal hotat. tyanna sankochan (samanyatah 0.0002 aanee 0.0005 darmyan taana nirman karane, aanee qamee shaktichya konkritmadhye agadi 0.0012) kinwa sooj (samanya konkritmadhye <0.00005, uchch shaktichya konkritmadhye <0.0002 0) mhanatat. sankochan aanee rengal vegale karnyasathi, anupalan karya sootra _ 1, jyala taana-utpadit taana sootra _ 2 (i.eae., ekoon taana vaja sankochan) heey tii velee, vay sootra 4 varr lagoo kelelya ekak nirantar ekakshiy taana sutradvare, bharit aanee bhaar-mukt namunyanmadhil taana farak mhanoon mojale jaate.
bahu-varshiy rengal velenusar laghuganitiyadrushtya vikasit hote (konatehi antim lakshanrahit moolya nasalele) aanee vishisht sanrachanatmak aayushyakalat tee prarambhik lavchik tanapeksha 3 teey 6 putt mothee moolye prapt karoo shakate. jevha ekhadi vikrutee achanak ladali jaate aanee sthir thewali jaate, tevha rengalanyamule gambhirpane tayar jhalelya lavchik tanavachi shithilata hote. utaravalyanantar, rengal punarprapti hote, parantu vruddhatvamule tee anshatah hote.
vyavharat, sukavanyachya darmyan rengalane heey sankochanapasun avibhajya aahe. chhidra aadratechya badalachya darasah rengalanyacha darr vadhato (i.eae., chhidranmadhil sapeksh vafecha daab). namunyachya lahan jadisathi, sukavanyachya darmyan rengalane heey konatyahi bharavina sukavanyachya sankochanechya aanee bharalelya seelband namunyachya rengalanyachya (anjir) berijpeksha jaast asate. 1 talashi). haah farak, jyala drying criip kinwa pickett effect (kinwa tanav-prerit sankochan) mhanatat, too taana aanee chhidra aadrata badalanmadhil higro-yantrik jodani darshavito.
uchch aadratemadhye korade hone (anjir. 1 varr aanee madhya) heey pramukhyane ghan sookshm sanrachanetil sankuchit tanamule hote jeey keshika tanavatil vaadh aanee chhidranchya bhintinvaril prushthbhagavaril taana santulit karate. qamee chhidra aadratemadhye (<75 takke), sumare 3 nmpeksha qamee jaad asalelya nanoe-chhidranvar, shoshalelya panyane bharalelya vichchhedit dabamule sankochan hote.
portland cement hydrationchya rasayanik prakriyanmule aanakhi eka prakarcha sankochan hoto, jyala autogenous sankochan mhanatat, jeey seelband namunyanmadhye disun yete, i.eae., aadrata qamee naan karata. heey anshatah rasayanik aakarmanatil badalanmule hote, parantu pramukhyane hydration pratikriyemule vaparlelya panyachya hanimule swayam-nirjalikaranamule hote. heey samanya concretemadheel korade honyachya aakunchanachya keval 5 takke itake aahe, jeey sumare 97 takke chhidra aardrateparyant swatah-nirjalikaran karate. parantu heey atishay qamee paanee-cement gunottarasah aadhunik uchch-shaktichya concretemadheel korade honyachya sankochanechya barobariche asoo shakate, jeey 75 takkyanparyant qamee aardrateparyant swatah-korade houu shakate.
kadak portland cement pestchya calcium silicate hydratesmadhye (see-ess-etch) kreepcha ugam hoto. heey bandh tutalyamule padalyamule hote, aanee jawalchya thikani bandh punarsanchayit kele jaatat. see-ess-etch heey jordar hydrophilic aahe aanee kahee nanometerchya varpasoon avyavasthit asaleli eka colloidal microstructure aahe. pastechi chhidralutata sumare 0.40 teey 0.55 aahe aanee prushthbhagache prachand vishisht kshetrafal, andaje 500 ghanmeter/centimeter 3 aahe. tyacha mukhya ghatak mhanje trie-calcium silicate hydrate jail (3 kaao·2 kaon2 sayo3·3, thodakyat thodakyat. jail heey colloidal parimananche kann tayar karate, jeey vanne dair walls shaktinni kamkuvatpane bandhalele asatat.
bhautik yantrana aanee modelingwar ajunahi charcha suru aahe. tyanantarchya samikarananmadhil rachnatmak samagriche model heey ekmev upalabdh nahee, tarr sadhya sarvat majboot saiddhantik paya aahe aanee upalabdh chachani detachya sampoorn shrenimadhye sarvottampane basate.
satatchya vatavaranat tanav-taana sambandh.
sevet, sanrachananmadhil taana heey konkreetchya samarthyachya 50 takkyanpeksha qamee asatat, asha paristhitit taana-taana sambandh resheey asato, chhidra aadrata badalate tevha sookshm crackingmule aakunchan sudharana vagalata. asha prakare criip heey anupalan karya sootra _ 1 (anjir) dware darshavile jaau shakate. 2). sootra 4 jasjase vadhate tasatase nishchit sootra 7 chey criip moolya qamee hote. vruddhatva navachya yaa ghatanemule, sootra 8 heey keval vel mage sootra 7 varr avalambun nasate tarr sootra 10 aanee sootra 4 yaa donhivar swatantrapane avalambun asate. asthir taana sootra _ 12 varr, vel sootra _ 4 varr lagoo kelele pratyek taana vaadh sootra _ 13 taana itihas sootra _ 15 tayar karate. reshatmakata heey ativyapi sthitiche tattva soochit karate (boltzmanne aanee vruddhatvachya babatit, voltera dware). yamule resheey vruddhatvachya viscolasticitycha (ekakshiy) taana-taana sambandh hotoh
yethe sootra _ 16 heey sankochan taana sootra _ 17 darshavate, jarr kahee asel tarr aushnik vistaradvare vadhavale jaate. integral haah stiltjes integral aahe, joou itihasache sootra 18 laa udisah swikarato; udee naan gheta velechya antarasathi, manak (reeman) integral prapt karnyasathi sootra 19 nishchit karoo shakato. jevha itihas sootra _ 20 vihit kele jaate, tevha eq.(1) sootra _ 18 sathee voltera avibhajya samikaran darshavate. heey samikaran sootra _ 1 chya vastavadi prakaransathi vishleshanatmakdrushtya samakalit nahee, jaree sankhyatmak samakalan sope aahe. konatyahi vayat lagoo kelelya taana sutrasathi _ 24 yaa dravan sutrala _ 25 (aanee sutrasathi _ 26) shithilata karya sootra _ 27 mhanatat.
eae. kyu. chey samanyikaran karane. (1) triakshiy taana-taana sambandhasathi, ekhadi vyakti andaje sthir criip poison gunottar, sootra _ 28 saha samagri samasthanik manali jaau shakate. yamule eae. kyu. sarkhe volumetric aanee vichalanatmak taana-taana sambandh nirman hotat. (1) jyamadhye sootra _ 1 chee jaaga balak aanee shear anupalan karye ghetatah
uchch taana asatana, rengalanyacha niyam resheey nasalela disato (anjir. 2) pann eae. kyu. (1) jarr crackingmule tyachya velevar avalambun asalelya vadhimule asthir taana sootra _ 30 madhye samavisht keela gela tarr lagoo rahato. serve mukhya taana sankuchit aahet aanee parimanat sarvat lahan ekakshiy sankuchit shakti sootra _ 32 peksha parimanat khoop motha aahe tarach sootra _ 30 madhye viscoplastic taana jodane aavashyak aahe.
mojmapanmadhye, yangche lavchik modulus sootra _ 33 heey keval thos vay sootra _ 4 varr avalambun nasate tarr chachani kalavadhivarhi avalambun asate kaaran anupalan sootra _ 1 viruddha bhaar kalavadhi sootra _ 7 chya vakrareshecha 0.001 s kinwa tyapeksha qamee pasoon suru aakunchan serve kalavadhisathi lakshaniy utaar asato. parinami, paramparik tarunanche lavchik mapank sootra 37 mhanoon midvave, jethe sootra 38 haah chachanicha kalavadhi aahe. moolye sootra 39 divas aanee sootra 40 divas sootra 33 chya pramanit chachanishi changla karar detat, jyat sootra 4 chey karya mhanoon sootra 33 chee vaadh aanee mothya pramanat vaparale jaanare anubhavjanya andaj sootra 44 sootra 45 sootra 46 saha. shoonya-vel bahyaprasaran sootra 47 andaje vay-swatantra asate, jyamule sootra 48 heey sootra 1 paribhashit karnyasathi eka soyiskar mapdand banate.
sthir ekoon panyachya pramanat rengalanyasathi, jyala moolbhut rengal mhanatat, haah ekakshiy anupalan karyacha (anjiratil jaad vakr) vastavadi darr prakar aahe. 1 talashi) heey ghanikaran siddhantavarun ghetale geleh
jethe sootra _ 50; sootra _ 51 = pravah snigdhata, jeey bahu-dashak rengalanyavar varchasva gajavate; sootra _ 52 = bhaar kalavadhi; sootra _ 53 = 1 divas, sootra _ 54, sootra _ 55; sootra _ 56 = konkreetchya prati ekak ghanfalat jailche praman, hydrationmule vadhat aahe; aanee sootra _ 57 = anubhavjanya sthirank (pariman sootra _ 58). karya sootra _ 59 cement jailchi vay-swatantra vilambit lavchikta (tyachya keshika chhidranshivay kadak cement pest) dete aanee, ektrikaranadvare, sootra _ 60. sootra _ 61 chey ektrikaran sootra _ 1 eka avibhajya dwipadi avibhajya mhanoon dete aanee mhanoon, jarr sootra _ 1 chee moolye shodhali gelee tarr tee sankhyatmak ektrikaranadvare kinwa andaje sutradvare midvane aavashyak aahe (eka changle sootra astitvat aahe). tathapi, velechya tappyanmadhye sanganakachya sanrachanatmak vishleshanasathi, sootra _ 1 aavashyak nahee; input mhanoon fakt darr sootra _ 61 aavashyak aahe.
samikarane (3) aanee (4) hii teen aavashyakta purn karnari sarvat sopee sutre aaheth 1) alp aanee dirgh kalasathi lakshanrahitpane sootra _ 52, sootra _ 61, heey veleche shakti karya asave; aanee 2) sootra _ 68 dware dilele vruddhatvache darr, (shakti karye swayam-samanatechya paristhitidvare darshavili jaatat); aanee 3) sootra _ 69 (hii sthitee superpositionchya tattwala unloadingnanter naun-monotonic punarprapti vakr denyapasun rokhanyasathi aavashyak aahe jee sharirikdrushtya aaksheparh aahet).
badalatya vatavaranat rengalane.
bashpibhavnachya _ 70 yaa chull vastuman sutravar (i.eae.rasayanikdrushtya bandhalele nahee) konkreetchya prati ekak aakarmanache paanee, bhautikdrushtya vastavadi rachnatmak sambandh haah sookshm sanrachanetil rengalanyachya thikananvaril taana shikharanche parimanahin mojmap manale jaanare sukshmabhakshi sootra _ 71 chya kalpanevar aadharit asoo shakato. sukshmabhakshi aavaran heey rasayanik aakarmanatil badalanna aanee nanoporcemadhil (jeey sarasari <1 nm jaad asatat aanee jastit jaast sumare daha panyache renu kinwa 2.7 nm jaadiche asatat) avarodhit shoshit panyachya tharanvar karya karya vighatit dabatil badalanna pratikriya mhanoon tayar kele jaate, jeey see-ess-etch sheetschya darmyan maryadit asatat. jalsanchayan utpadananchya asman aakarmanatil badalanmule, vegale honyacha daab pratham vikasit hoto. nantar, teey see-ess-etch madhye rengalalyamule aaram karatat jenekarun thermodynamic santulan rakhale jaau shakate (i.eae., panyachya rasayanik kshamatechi samanata) keshika chhidranmadhil panyachya vaphesah aanee yaa chhidranmadhil tapman kinwa aadratechya konatyahi badalanmule tayar hote. bandh tutanyacha darr heey sukshmabhakshichya pataliche eka dvighat karya manale jaau shakate, jyasathi eae. kyu. aavashyak aahe. (4) samanyikaran karane
eka mahattvacha gunadharm mhanje microprestressvar lagoo kelelya bharamule lakshaniy parinam hott nahee (kaaran chhidranche paanee ghan sangadyapeksha barech jaast sankuchit hote aanee kadak sanrachanechya samantar jodalelya mauu mauu vagate). microprestress velenusar shithil hote aanee thos sanrachanechya pratyek binduvar tyachi utkranti vibhedak samikaranatun sodavali jaau shakate.
jethe sootra _ 72 = sakaratmak sthirank (nirpeksh moolya heey sunishchit karate qee sootra _ 71 kadhihi nakaratmak houu shakat nahee). microprestress yaa vastusthitiche pratirup tayar karoo shakate qee korade karane aanee thund karane, tasech ole karane aanee garam karane, rengalane vegwan karate. sootra _ 70 kinwa sootra _ 75 madheel badalanmule naveen sukshmabhakshi shikhar tayar hotat aanee asha prakare naveen rengalanyachya jaaga sakriy hotat, hii vastusthiti koradya rengalanyachya parinamache spashtikaran dete. tathapi, yaa parinamacha eka bhag, sathichya bhaar-mukt namunyatil sookshm crackingmule tyache ekoon sankochan heey naan crack kelelya (sankuchit) namunyatil sankochanapeksha qamee hote, tyamule doghanmadhil farak vadhato (jeey criip paribhashit karate).
vruddhatvamule aakunchan kadakpanache spashtikaran denyasathi microprestreschi sankalpana dekhil aavashyak aahe. vruddhatvache eka bhautik kaaran mhanje, eae. kyu. madheel _ 76 yaa karya sutrat pratibimbit kelyapramane, jalsanchayan utpadane haloohaloo kadak cement pastechi chhidre bharatat. (3). parantu sumare eka varshanantar jalsanchayan thambate, tarihi anek varshannantarhi 4 heey sootra bharnyasathi vayacha parinam tivra asato. yache spashtikaran asey aahe qee sookshm daab shikhar vayanusar shithil hote, jyamule rengalanyachya thikananchi sankhya qamee hote aanee asha prakare bandh tutanyacha darr qamee hoto.
chull vatavaranat, vel sootra _ 10 heey eae. kyu. madhye aahe. (3) samatulya hydration time formula 79 neey badalale pahije jethe formula 80 = formula 75 chey ghatanare karya (formula 82 sumare 0.8 asalyas 0) aanee formula 83 formula 84. eae. kyu. madhye. (4), sootra _ 85 heey sootra _ 86 neey badalale pahije jethe sootra _ 87 = qamee vel (kinwa paripakvata), sootra _ 75 chaa prabhav aanee sootra _ 89 chee criip viscositiver capture karane; sootra _ 90 = sootra _ 75 chey karya sootra _ 92 varr 1 varoon 0 varr sootra _ 93 varr qamee hott aahe; sootra _ 94, sootra _ 95 5000k.
aadrata profile sootra _ 96 (sootra _ 97 = samanvay vector) chee utkranti hii andaje taana aanee vikrutee samasyepasun naan julaleli manali jaau shakate aanee prasaran samikaran sootra _ 98 div [sootra _ _ sootra _ 100] varoon sankhyatmakaritya sodavali jaau shakate, jethe sootra _ 101 = hydrationmule honare swayam-nirjalikaran (jeey samanya konkritmadhye sumare 0.97 paryant aanee uchch shaktichya konkritmadhye sumare 0.80 paryant pohochate), sootra _ 102 = visaran, jeey sootra _ 75 0.00 varoon 0.6 paryant khalee yete mhanoon sumare 20 putt qamee hote. mukt (aniyantrit) sankochan taana darr, andaje, aahe.
jethe sootra _ 104 = sankochan gunank. vividh bindunvaril sootra _ 105-moolye visangat asalyane, sanrachananchya ekoon aakunchananchi tasech chachani namunyanchi ganana hii eka taana vishleshanachi samasya aahe, jyamadhye rengalane aanee cracking lakshat ghene aavashyak aahe.
velechya tappyanmadhye maryadit ghatakanchya sanrachanatmak vishleshanasathi, ghatanatmak niyamache darr-prakarchya swarupat rupantar karane fayadeshir aahe. kelvin sakhali models (kinwa maxwell sakhali models sambandhit shithilata karya) andaje sootra _ 59 vaparoon heey sadhya kele jaau shakate. eae. kyu. sarkhya itihasache samakalan. 1 nantar ghatanatmak niyamatoon nahisa hoto, itihas antargat sthitee chalanchya (kelvin kinwa maxwell sakhaliche aanshik taana kinwa taana) vartaman mulyandware darshavila jaato.
chull tapmanacha prabhav parichay karoon denyasathi darr-prakarchya swarupat rupantaran dekhil aavashyak aahe, jeey kelvin sakhalichi chikatpana aanee hydrationcha darr yaa donhinvar parinam karate, sootra _ 107 dware tipale jaate. tapman vadhale tarr pahila kripla gatee deto aanee nantarcha kripla gatee qamee karato. eae. kyu. ess. chey trimiteey tensorial generalization. (3)-(7) sanrachananchya maryadit ghatakanchya vishleshanasathi aavashyak aahe.
korade kartana andaje cross-section pratisad.
jaree rengal aanee aadratechi bahuayami maryadit ghatakanchi ganana
sadhya prasar karane shakya aahe, samatolit cross sectionchya gruhitavar aadharit concrete beam kinwa girderche eka-aayami vishleshan sope kele aahe, urvarit samtol ajunahi vyavharat aahe. jaree (boxes gerder brijmadhye) tyat 30 takke kramanusar vikshepan truti asatat. tyaa drushtikonat, ekhadyala input mhanoon sarasari cross-sectional anupalan karya sootra _ 108 (ankee. 1 talashi, prakash vakr) aanee cross sectionche sarasari sankochan karya sootra _ 109 (anjir. 1 davikade aanee madhomadh) (sootra _ 110 = korade honyachya suruvatiche vay). bindunihay sanrachanatmak samikaranachya tulanet, asha sarasari vaishishtyansathi bijganitiy abhivyakti lakshaniyaritya adhik klisht asatat aanee tyanchi achookata qamee asate, visheshtah jarr cross section kendrikrut sampidanakhali nasel. paryavaraniy aadrata sootra 111 sathee 98 takkyanpeksha qamee mothya prayogshaletil databases basavoon khaleel andaj kadhale gele aahet aanee tyanche gunank anukool kele gele aaheth
 \tau _ {shi} = k _ t (k _ sd) ^ 2
jethe sootra _ 112 = prabhavi jaadi, sootra _ 113 = aakarman-teey-prushthbhag gunottar, samanya (prakar i) cementsathi sootra _ 114 = 1; sootra _ 115 = aakar ghatak (eae.jee., slabsathi 1., cylindersathi 1.15); aanee sootra 116, sootra 117 = sthir; sootra 118 (serve vela divasanmadhye asatat). eae. kyu. ess. (3) aanee (4) heey sootra vagalata lagoo qaraa _ 119 heey asey badalane aavashyak aahe
jethe sootra _ 120 aanee sootra _ 121. sankochan ardhvel sootra _ 122 sathee abhivyaktiche swaroop prasar siddhantavar aadharit aahe. eq madhye 'taan' heey karya. 8 heey prasar siddhantamule siddhantamule done asymptotic paristhitiche samadhan karnare sarvat sope karya aaheh 1) alpakalasathi sootra _ 123, aanee 2) antim sankochan vegane gathale jaane aavashyak aahe. tapman prabhavasathi samanyikaran dekhil astitvat aahe.
concreetchi takad aanee concrete mishranachya kahee mapdandanchya aadhare vareel samikarananmadhil mapdand mulyancha andaj lavnyasathi anubhavjanya sutre vikasit kelee gelee aahet. tathapi, teey atishay kachche aahet, jyamule andajatil truti udbhavtat, jyamadhye rengalanyasathi sumare 23 takke aanee sukavanyasathi 34 takke farak asato. dilelya konkreetchya alpakalin rengal aanee sankochan chachanyannusar sutranche kahee gunank adyayavat karoon yaa uchch anishchitata mothya pramanat qamee kelya jaau shakatat. tathapi, sankochanasathi, korade chachani namunyanche vajan qamee hone dekhil mojale jaane aavashyak aahe (anyatha sootra _ 124 adyayavat karanyachi samasya ayogya aahe). konkreetchya rengal aanee tyachya rachnetoon aakunchan aakunchan gunadharmancha purnapane tarkshuddha andaj lavane hii eka prachand samasya aahe, jee samadhankarakpane sodavali jaat nahee.
abhiyantriki anuprayog.
uchch rengalanyachya sanvedansheelatechya sanrachananchya rachnet formula _ 125 aanee formula _ 126 yaa karyanche vareel swaroop vaparale gele aahe. abhiyantriki sansthanchya rachana sanhita aanee manak shifarshinmadhye itar prakar samavisht kele gele aahet. teey sope asale taree qamee vastavadi aahet, visheshtah bahu-dashkatil rengalyansathi.
rengalane aanee aakunchan yamule prestressche mothe nuksan houu shakate. anek dashakanchya rengalyanchya qamee andajamule, andajamule crackings, mothya-lambichya purv-tanalelya vibhagiyaritya ubharalelya boxes gerder pulanmadhye (60 hoon adhik prakarane nondavali gelee aahet) jaast vikshepan jhaale aahe. rengalanyamule kebal-stead kinwa kamaan pulanmadhye aanee chhatavaril kavchanmadhye jaast taana aanee phood yeu shakatat. chhidra aadrata aanee tapman, vay aanee sanrachanechya vividh bhaganmadhil concrete prakarachya itihasatil farkanmule rengalane aanee aakunchan yanche eksaman naan asane yamule darade padoo shakatat. tyamule kebal-stead pool aanee sammishra steel-concrete garderspramane dagadi bandhkamashi kinwa steelchya bhaganshi parasparsanvad houu shakato. khoop unch imaratinsathi stambh laghukaranatil farak visheshtah chintecha vishay aahe. patal sanrachananmadhye, dirghkalatil asthiratemule rengal kosaloo shakate.
purv-dabalelya konkreetchya sanrachanansathi (tyanchya patalpanamule aanee uchch lavchikatemule) rengalanyache parinam visheshtah mahatvache aahet aanee anubhattiche niyantran aanee jahajanchya suraksha vishleshanat teey sarvoch aahet. uchch tapmanachya samparkat asatana, aag kinwa gruheet aanvik anubhatti apaghatanpramanech, rengal khoop mothee asate aanee tee eka pramukh bhoomika bajavate.
sanrachananchya prarambhik rachnet, sopee gananemadhye soyiskarpane parimanahin rengal gunank sootra _ 127 = sootra _ 128 vaparu shakate. prarambhik loadingchya vel sootra _ 129 pasoon vel sootra _ 10 paryantchya sanrachana sthititil badalacha andaj, jaree murkhpanacha asala taree, ardh-lavchik vishleshanadvare lavala jaau shakato jyamadhye yangchya modulus sootra _ 33 chee jaaga tathakathit vay-samayojit prabhavi modulus sootra _ 132 neey ghetali jaate.
sanvedanshil sanrachananchya sanganakeey rengal vishleshanacha sarvottam marg mhanje rengal kayadyache eigenstrains vadhiv lavchik taana-taana sambandhat rupantar karane. eae. kyu. (1) vaparale jaau shakate parantu tyaa swarupat aadrata aanee tapmanatil badal kalantarane sadar kele jaau shakat naheet aanee pratyek maryadit ghatakacha sampoorn taana itihas sathavanyachi garaj avjad aahe. eae. kyu. madhye rupantar karane changle. (1) kelvin sakhali rheologic modelver aadharit vibhedak samikarananchya sanchasathi. yasathi, pratyek puresha chhotya velechya tappyatil rengalanyache gunadharm vruddhatva naan manale jaau shakatat, asha paristhitit andaje laplas transform invergeonsathi vijechya spasht sutradvare kelvin chenchya retardation modulicha satatcha spectrum formula _ 125 pasoon prapt keela jaau shakato. kelvin ekkanche module sootra _ 134 (sootra _ 135) nantar yaa varnapatala vegale karoon anusaran qaraa. pratyek velechya tappyatil pratyek maryadit ghatakachya pratyek ektrikaran bindusathi teey bhinn aahet. asha prakare criip vishleshanachi samasya lavchik sanrachanatmak vishleshanachya maliket rupantarit hote, jyapaiki pratyek vyavsayik maryadit ghatak karyakramavar chalavata yete. udaharanarth, khaleel shevatcha sandarbh pahaa.

