Abel oscillations e tsamaellanang le moelelo oa eona ka ho ithuta sebōpeho sa dithulaganyo oscillatory

All harmonics na le polelo e reng lipalo. thepa bona e tšoaeang e behiloeng ea ditekanyo trigonometrical, ho rarahana ha e laolwang ke ho rarahana ha tshebetso oscillatory, thepa tsamaiso e khopo le tikoloho eo ho eona li etsahala, i.e., mabaka Link amang tshebetso oscillation.

Ka mohlala, ka nyenyenyane tsa oscillation e tsamaellanang ke mokhatlo oa, e tšoauoa ka:

- tlhaku e tobileng;

- lekane;

- ho fallela mele oa nama, e le hlaha ka ho le sine kapa cosine tsela ka mosebetsi wa nako.

Based on thepa tsena, ho ka etsa hore e tsamaellanang oscillations abel, le nang le mofuta o le:

: x = A cos ωt kapa foromo ya x = A ωt sebe, moo x, - hokahanya boleng A - boleng tsa molumo oa oscillation, ω - coefficient.

Joalo abel tsa oscillations e tsamaellanang ke habohlokoa bakeng sa ho oscillations tsohle e tsamaellanang, tseo li tšohloa ka kinematics le nyenyenyane.

Pontshi ωt, eo ka moralo ona a eme bakeng sa pontšo ea ho ba mesebetsi ea trigonometric, e bitsoang mohato le ho tsebahatsa sebaka sa oscillating boima ntlha ka nako e fanoeng ka molumo fanoeng. Ha ho hlahloba liphetoho cyclic motsoako a sebetsang a ke 2n, ho bontša palo ea loebehlana phetha molao ka hare ho ka potoloho ea nako 'me e denoted w Le. Tabeng ena, ho abel tsa oscillations e tsamaellanang na le e le ho boleng index of e cyclic maqhubu (chitja).

Re nahana ka abel tsa oscillations e tsamaellanang, joalokaha ho se ho boletsoe, ka nka mefuta e sa tšoaneng, ho itšetlehile ka lintlha tse 'maloa. Mohlala, mona 's kgetho ya. Ho nahana ka ho differential abel ea bolokolohi oscillations e tsamaellanang, e mong lokela ho ela hloko taba ea hore ba tsohle atisa ho attenuation. The mefuta e fapaneng ya oscillation, ketsahalo ena bontša ka boeona e ka litsela tse fapaneng: ba khaotse ho e le 'mele ho falla, le mahlaseli a qetello ka tsamaiso ea motlakase. A mohlala e bonolo bontšang phokotseho ya 'nang oscillatory, ho sokoloha ha lona ka liketso mocheso matla.

abel ena e na le mofuta o le: d²s / dt² + 2β: x bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb / bang dt + ω²s = 0. Ho moralo ona: 's - boleng feto-fetoha boleng eo ba tsebahala ka thepa ea tsamaiso e itseng, β - kamehla ho bontša damping coefficient, ω - cyclic maqhubu.

Tshebediso ya moralo ona o dumella atamela ho tlhaloso ya dithulaganyo oscillatory ka tsamaiso ea guttate ho ea ka pono ea se nang molekane, 'me hape ho etsa moralo le ho ketsiso tsa dithulaganyo oscillatory boemong saense liteko.

Ka mohlala, e tsebahala hore oscillations damped ka sethaleng e qetellang ea liponahatso lona ho kgaotsa ho ba e tsamaellanang, ke hore, dihlopha tsa maqhubu a le nako ea hore e be feela ho na thuso le ditlaleo ha ba bonahale.

The mokhoa khale ea ho ithuta ho loebehlana e tsamaellanang etsa e tsamaellanang oscillator. Ka mofuta o bonolo e le mokhoa oa eo e hlalosa differential abel tsa oscillations e tsamaellanang: bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb / bang dt + ω²s = 0. Empa ngata dithulaganyo oscillatory isang tlhaho ha e le hantle hore ho na le palo e khōlō ea oscillators. Mona ba mefuta e ka sehloohong:

- ka selemo oscillator - tloaelehile mojaro ho ba le itseng batho ba bangata limithara, e leng e sa emisitswe ho ka selemo rekere. Ho oscillates mofuta e tsamaellanang, tse hlalositsoeng ke moralo F = - Kx.

- oscillator 'meleng (pendulum) - tiileng, oscillates pota ka a selekane ee sa fetoleng boemo tlas'a tšusumetso ea matla a itseng;

- thuto ea lipalo pendulum (ka tlhaho hoo e batlang e ha e etsahala). Ho se setle sa ea mohlala tsamaiso e khopo e bopilweng ka ba oscillating 'mele oa nama ho ba le boima bo itseng, e leng e sa emisitswe ho ka thata dikgwele boima.