Decision iri simba matambudziko. D'Alembert kuti musimboti

Sezvo yoga Sayenzi yokungotaura hurongwa ndiyo dzidziso runobatanidza mitemo mukuru zvokuimba inofamba uye kudyidzana zvokunyama miviri. Kukura sayenzi iyi pakutanga sokunge wefizikisi chikamu, achitora sepokutangira ane axiomatic, ichiwanika ari oga bazi sayenzi zvakasikwa.

The Kugadzirisa matambudziko ari simba mukati yechinangwa yokungotaura hurongwa pamusoro nyaya iri nyore zvikuru kushandisa d'Alembert musimboti. It iri ndechokuti BALANCInG vose vanoshingaira ravarwi, vanoita pfungwa yacho zvokuimba ino, uye zvinoitwa zviripo zvisungo imhaka kufungisisa vanonzi mauto inertia. Mathematically, ichi chinoratidzwa sezvo summation vose zvinhu pamusoro apa, izvo zvinoguma ndiyo razero.

Sam D'Alembert Leron Jean (1717-1783) anozivikanwa kuti nyika ive mudzidzisi mukuru, uyo yabudirira kubudirira zvikuru zvesayenzi. Masvomhu, hurongwa, uzivi vakaidzwa Kuongororwa kwake kuziva. Somugumisiro mabasa D'Alembert akabata zvinhu hurongwa (D'Alembert kuti musimboti), vakarondedzera kwavo differential equations, kureva kuswedera kukwira mitemo. Jean Leron akaruramiswa perturbation dzidziso mapuraneti, chose hanya zvikuru kuti adzidze dzidziso akatevedzana uye differential equations, akarongeka kuongorora. A National French, D'Alembert akava honorary vatorwa nhengo St. Petersburg Academy of Sciences.

Munorumbidzirweiko nyanzvi wokuFrance dziridza nheyo kugadzirisa zvinetso zvakaoma pamusoro emuchina, izvo unobereka zita rake, iri pakuti, nemhaka kushandiswa kwayo nokuda kufunga guru pezvakaitwa vakabvumirwa kushandisa mamwe nyore nzira Statistical makanika. Nokuda pakururama uye Kuwanikwa ichi musimboti (musimboti D'Alembert) awana paupamhi kushanda mu ouinjiniya tsika.

We kushandisa nheyo d'Alembert nokuti zvinhu pfungwa

Simbisai yunifomu nzira, inodzidza algorithm rimwe chete zvokuimba gadziriro kunobatsira nheyo D'Alembert. Muchiitiko ichi hakuna kuvimba chero mamiriro kwakaitwa ayo kufamba. Dynamic differential equations inofamba kuti chimiro zvakanyatsoenzana equations. Somuenzaniso, achitora kuongororwa nonfree vamwe zvinhu pfungwa M riri kuita sangano achitevedza munyonga AB iri mugumisiro kuitwa basa mauto ane nomuuyo F, ingashandiswa notation N nokuti maitiro simba (zvazvinoita munyonga AB pa M). Kusuma simba F, N, O ari inokosha mukana wokuti vanhu vanga nokurondedzera rinomutsa ane pfungwa, tinowana convergent hurongwa kuti inotaura zvakanyatsoenzana ezvinhu zvikuru hurongwa. Kukosha F anorondedzera zvinoitwa kuti masimba inertia uye ane kunaka ukoshi. Ndiyo kushandiswa d'Alembert nheyo iri Masvomhu noruremekedzo kuti zvinhu pfungwa.

Zvinofanira kucherechedzwa kuti nzira iyi tinowana vazhinji zvimiso mukana wokuti vanhu vanga chokuedza nemauto, rinoshandiswa yokufudza masimba inertia wegadziriro. Asi pasinei ichi, d'Alembert musimboti inopa mukana uye nyore mhinduro kuti zvinetso simba.

Kushandisa D'Alembert nheyo kune zvokuimba hurongwa

Zvaakanga kubudirira yakanaka mugumisiro iri simba dambudziko nokuda zvinhu pfungwa, tinogona zvakachengeteka mberi kuti uwane kunzwisisa shanduro dambudziko, iyo inoshandisa nheyo d'Alembert nokuda zvokuimba hurongwa.

Mukana wokuti vanhu vanga nokuti hurongwa hakusi akasiyana zvikuru kubva mukana wokuti vanhu vanga nokuda pfungwa. Musiyano zvinokosha iri ndechokuti kuverenga nokuti zvemaziso wakamanikidza maitiro chero nguva kunosanganisira kuwana Pamusana vose masimba uwandu siyana uye ukama pfungwa inertia mauto.

Uchishandisa pamusoro nzira uye nenheyo havana kumhanya yemabhuku inokosha mutemo wefizikisi. Mukupesana, kunyange kana mumwe inorwara poached kuti zviite sarudzo. Nzira iyi haana kuzviratidza pasina, chikuru zvose mhedziso yacho inotorwa zvinokosha mitemo Newton, German-Euler mazano akawana kukura kwayo nenhungamiro d'Alembert.