Whakatau i runga i akiaki raruraru. parau tumu D'Alembert o

Ka rite ki te pūtaiao motuhake o te pūhanga manawa ariā ko te parau haapiiraa e tahoê te ture whānui o te nekehanga aunoa me te taunekeneke o tinana rauemi. I riro tuatahi te whanaketanga o tenei pūtaiao rite wāhanga ahupūngao, tango rite te pūtake mo te he pononga, he mea e wātea ana i roto i te peka motuhake o sciences tūturu.

Kei te nui whakamāmā te otinga o ngā raruraru o te akiakinga i roto i te anga o rehe ariā o te kaupapa mā te whakamahi i te parau tumu d'Alembert. takoto te reira i roto i te meka e te whärite o nga ope katoa kaha, e mahi i runga i te mata o te pūnaha mīhini, me nga tauhohe o here ngā he tika ki te tango ki pūkete te pera-ka karanga ope o tūpuku. Pāngarau, faaite tenei te rite te aofangatuku o nga mea timatanga katoa kua whakarārangitia i runga ake, e hua ko te kore.

mohiotia Sam D'Alembert Leron Jean (1717-1783) te ki te ao rite he mātauranga nui, e kua tutuki whakatutukitanga nui i roto i mara ngā o te pūtaiao. Pāngarau, rehe, Nōna rapunga whakaaro tātaritanga o tona hinengaro uiui. Ka rite ki te hua o nga mahi a D'Alembert pa nga pūnaha rauemi (parau tumu D'Alembert o), whakaahua ratou whārite pārōnaki, ara te tuhi ki runga o ture. i tika ai Jean Leron perturbation ariā o te aorangi, i oti rawa ia nui aro ki te ako o te ariā o te raupapa, me te pārōnaki whārite, tātari pāngarau. He motu French, ka D'Alembert he mema ke hōnore o te St Petersburg Academy o Sciences.

mataotao Kaiaka Wīwī nei whakawhanakehia te parau tumu o te whakaoti rapanga matatini o akiakinga, e huaina hoki tona ingoa, takoto i roto i te meka e, whakawhetai ki tona whakamahinga mo te whakaaro o ngā tukanga hihiri whakaaetia ki te whakamahi i ngā tikanga atu ohie o te pūhanga manawa tauanga. Nā ki te tapatahi, me te wātea o tenei parau tumu (te parau tumu kua kitea D'Alembert) whānui tono i roto i te mahi engineering.

tono tatou i te parau tumu o d'Alembert mo te pūwāhi rauemi

A haamau i te huarahi kākahu, Rangahau te hātepe o te pūnaha aunoa kotahi tauturu parau tumu o D'Alembert. I roto i tenei take kahore he fakafalala i runga i tetahi tikanga utaina ki runga ki tona kaupapa. Dynamic whārite pārōnaki o nekehanga ki te ahua o te whārite taurite. Hei tauira, tango hoki whakamātautau nonfree etahi M rauemi ira e mau ana i roto i te kaupapa me te ānau AB i te hua o te mahi o ope kaha ki te hua F, Ka taea te tono momotuhi N mo te tōpana tauhohenga (pānga ānau AB i M). Te whakauru i te tōpana F, N, e i roto i te whārite taketake whakaahua i te akiaki o te wāhi, whiwhi tatou i te pūnaha convergent e faaite te huru taurite o te pūnaha ngā. Ko te uara o F whakaahua ana te mahi o ope o tūpuku me he uara tōraro. Ko te whakamahi o te parau tumu d'Alembert i te tātai me te faatura ki te wāhi rauemi tenei.

Me kï reira e ki tenei huarahi whiwhi tatou i te herenga rawa ope whārite te honohono, te whakamahia ki te taurite te ope o tūpuku o te pūnaha. Ko ahakoa tenei, whakarato d'Alembert parau tumu he otinga watea, me te ohie mo nga raruraru o akiaki.

Hoatu ana te parau tumu D'Alembert ki te pūnaha aunoa

Ka tutuki i te hua pai i roto i te akiaki o te raruraru mo te wāhi rauemi, e taea humarie tatou neke i runga i ki te putanga matatini ake o te raruraru, e whakamahi ana te parau tumu o d'Alembert mo te pūnaha aunoa.

e kore te mea nui rerekē i te whārite mō te pūwāhi te whārite mō te pūnaha. takoto te rerekētanga faufaa i roto i te meka e te tātaitanga mō te pūnaha akiaki pūkaha i tetahi wa ngā te kimi i te hua o nga ope katoa o moni o tauhohe me whanaunga o ope ira tūpuku.

Mā te whakamahi i te tikanga i runga ake me te mau parau tumu i kore rere counter ki te ture faufaa o te ahupūngao. I te anga ke, ara, ki te poached tetahi rahi o ki te whakahaere-whakatau kaupapa. kihai i puta tenei tikanga i roto i o wahi, e hāngai ana nga whakataunga nui katoa e ki runga ki te taketake ture o Newton, te mau parau tumu German-Hēura e ka tona whanaketanga i roto i te mau parau tumu o d'Alembert.