Harmonic oscillations a kamakawiwo ole kaʻina haʻalele 'ana

E pane mai i ka ninau o ka mea i kapaia harmonic oscillations, ia e ke kaʻikaʻiʻia ma ka manaʻo i kēia mau physicalʻike manaʻo - kekahi o ka loa, he pono ole ma ke ano. Paha, ia mea paakiki ia ke koho 'ia i ka laulā, a makemake ole ike harmonics. Ka loa e like me ka wahi o ka physical kumumanaʻo, a kaupaona i nā oscillatory keʻano o ka hanaʻana i ka me mechanical, uila a me ka uilaʻoe, Radar a me ka sonar, a me na mea e ae.

United me ka koe naʻe, i kēia mau mau no laila, i ke ano o ka oscillatory keʻano o ka hanaʻana i nui ka ia, a, no laila, e hōʻike iā lākou ma laila mea he mau panina kumumanaʻo. Parametric oscillatory keʻano o ka hanaʻana oko aie wale i kā lākou meakino pele, a mawaho aʻe a e loli i ka vibrational neʻeʻana. Ka simplest laʻana o oscillatory noi, ke kaua ma maʻamau o ke ola, e, no ka laʻana, oscillations o ka pendulum uaki, a me uilaʻikena.

Fluctuations ma keʻano o ko lākou mau hanana, ua noa, a harmonious. Free oscillations i kapa iho, ka mea, ua ua hoʻokoʻikoʻiʻia e ka mea, i like kā lākou mau kumu o ka mawaho ka haunaele o ka meakino, i loaa mai ka physical kino o kūpaʻa equilibrium. Lakou i mea hoike o ka Bob, a ua kaulia ana e ka pae, a me ia mākou pahu noi i ka kamakawiwo ole kaʻina.

Ua haawiia More nui wahi i loko o physical pähola 'ana i ka hoʻopaʻa' ana o ka kŰia ike like harmonic kuekueni. I ka like o ko lakou ano like manawa, aʻano a me kaʻimi naʻauao kumu ma luna i ke ao ua nānā hou kekahi, ao ke ano o ka oscillatory keʻano o ka hanaʻana - o, kā lākou hanana i loko o kekahi hana kūpono - mechanics, uila, Nine Inch loli 'a me reactions.

E wehewehe i ka ke kālaikūlohea o harmonic oscillations i loko o ka papa kuhikuhiE kiko'î hoʻohana e like me ka manawa a me ka alapine (frequency).

Ma muli o ka mua ua kālaiʻia e mākou assertion i loaʻa mea heʻano o mau-manao kumu hoʻohālike o ka pele o oscillatory keʻano o ka hanaʻana, a ua hiki kekahi hoʻonohonoho hele mai i ka hopena e pili ana i ke ola ana o kekahi paʻa Hawaiʻi mea i emi iho i kēia mau fluctuations. Nolaila, i ka oleloia kiko'î - i ka wā a me ke alapine (frequency) ano o nā 'ano o nā oscillations, irrespective o ke kumu o ka hanauna, a no kā lākou hanana ke kaiapuni.

Ke alapine (frequency) o ka laupaʻi waiwai e hoike ana i ka helu o ka manawa no i kekahi loihi o ka manawa, i ka physical kino hana kaʻina hana o ka hoʻololi kona kūpaʻa moku'āina, a hoi aku la ia ia. No kekahi laʻana, e hiki ke helu i ka helu o ka manawa i ka ia Bob oscillating ma hope o mākou pahu a mea aɃe.

E hōʻike i ka wā o kēia kaʻina hana no ka manawa au no i ka paka deviates mai o ka palapala wahi, a huli i ka hale o kekahi oscillation.

A ina hookolokolo i ka harmonic oscillations, ka mea e e hoʻomaopopo i ka wā a me ka alapine (frequency) o ka Pahuhopu ua hoʻopiliʻia e ka mau haʻilula, a ultimately e hoʻoholo i ka pakuhi o harmonic oscillations. I mea e maopopo hou objectively mea ia mea, ka mea e e kaulana i loaʻa i nā nā hoailona parametric - ikaika hawewe, pae, pōʻaiapuni alapine (frequency). Lākou hoʻohana apono 'oe, e hoʻohana i ka hōʻike i ka oscillatory keʻano o ka hanaʻana trigonometric hana. Ka loa, he pono ole haʻilula no kūkulu i ka pakuhi, ua like penei: ke = A hewa (ωt + α). kapaʻia nō hoʻi kēia haʻilula ka helu kaulike o harmonic oscillations e leie aku e kūkulu a me ka hoʻopaʻa 'oscillation kaʻina, i loko o kona simplest palapala o kaʻike mau sinusoid. Ma ka hana ma luna o haʻilula, na coefficients α a ω hōʻike pololei aku ka mea pono e hana huli ana, mai ka sinusoid e hōʻike 'kekahi oscillatory kaʻina.

No ka hou eiiieaena oscillatoryʻike manaʻo maoli ai huikau a me ka Kimia hōʻikeʻano. Kēia complication mea aie a hiki i ka aoao o ka papa aʻeʻelua:

- 'ano o ke kaʻina hana, i mea, ma ka mea e hoʻokolokolo ai fluctuations - me mechanical, electromagnetic a, a me nā cyclic;

- meakino i loko o i i ua loaʻa a me ka hoʻokō oscillatoryʻike manaʻo - ea, ka wai, a ano e ae paha.

Mau kumumea me ka nui loa ho ololi i nā mea kiko'î o kekahi oscillating kaʻina.