Dzidziso yeMagetsi eMechanical: Hwaro hweDzidziso uye Mashandisirwo
Pendauluan
Mufizikisi, mafungu chinhu chinoonekwa uye chinodzidzwa kakawanda. Mafungu anowanzo kamurwa kuita zvikamu zviviri zvikuru: mafungu emagetsi nemafungu emakanika. Chinyorwa chino chichatsanangura zvakadzama dzidziso yemafungu emakanika, iyo inosanganisira kutamiswa kwesimba kuburikidza nechinhu chisina kufamba kwezvinhu pachazvo.
Tsanangudzo uye Mhando dzeMafungu eMechanical
Mafungu emakanika mafungu anoda chinhu chinofambisa mhepo kuti chipararire. Chinhu ichi chinogona kuva chakasimba, chemvura, kana gasi. Pasina chinhu chinofambisa mhepo, mafungu emakanika haagone kupararira. Izvi zvakasiyana nemafungu emagetsi, akadai sechiedza, anogona kupararira muvacuum.
Mafungu emakanika anogona kuiswa mumapoka matatu zvichienderana negwara rekuzununguka maererano negwara rekupararira:
1. Mafungu eLongitudinal: Kudengenyeka kwacho kwakafanana nekwakatangira kupararira. Muenzaniso wemafungu eruzha ari mumhepo.
2. Mafungu Akachinjika: Kudengenyeka kwacho kwakanangana nekwakapararira. Muenzaniso ifungu riri patambo inodengenyeka.
3. Mafungu Epamusoro: Mafungu aya anosanganisira musanganiswa wekufamba kwenguva refu uye kwakachinjika, semafungu emvura pamusoro pegungwa.
Dzidziso Yekutanga yeMafungu Emagetsi
1. Kuenzanisa kwemafungu
Mufizikisi, mafungu emakanika anowanzotsanangurwa ne equation yemafungu. Pamasvomhu, equation iyi inotsanangura kuti chimiro chemafungu chinoshanduka sei nekufamba kwenguva nenzvimbo. Equation yemafungu ega ega ewave ine divi rimwe chete ndeiyi:
\[ \frac{\partial^2 y}{\partial x^2} = \frac{1}{v^2} \frac{\partial^2 y}{\partial t^2} \]
Di mana:
– \( y \) ndiko kuchinjika
– \( x \) ndiyo daro
– \(t \) inguva
– \( v \) ndiyo kumhanya kwemafungu.
Iyi equation inotaura kuti shanduko yekutama maererano nedaro (spatial) yakaenzana neshanduko yekutama maererano nenguva (temporal) yakawedzerwa ne inverse ye sikweya ye wave velocity.
2. Kukura, Kuwanda, uye Kureba kweMafungu
Zvimwe zvinhu zvakakosha zvemafungu emakanika ndea amplitude, frequency, wavelength, uye phase:
– Amplitude (\(A\)): Ndiwo kukwirira kwakanyanya kwemafungu kubva panzvimbo yekuenzana. Amplitude ndiyo inosarudza simba kana kusimba kwemafungu.
– Mafambiro (\(f\)): Huwandu hwemafungu anopfuura poindi yakatarwa panguva imwe neimwe. Chiyero chemafambiro iHertz (Hz).
– Hurefu hwemafungu (\(\lambda\)): Chinhambwe chiri pakati pemapoinzi maviri akatevedzana erudzi rumwe chete pamafungu, akadai sekukwirira kusvika pakakwirira kana kuti mugero kusvika pagomba.
- Chikamu: Nzvimbo chaiyo mukutenderera kwemafungu panguva yakatarwa.
Kumhanya kwemafungu (\(v\)) kunogona kuverengerwa uchishandisa hukama:
\[ v = \lambda \cdot f \]
zvinoreva kuti kumhanya kwemafungu kunokonzerwa nekuwedzera urefu hwewavelength nefrequency yemafungu.
3. Mutemo waHooke nepfungwa yeSuperposition
Mutemo waHooke unowanzo shandiswa kana tichitarisa mafungu emagetsi, kunyanya pamafungu anopararira muzvinhu zvinopfapfaidza zvakaita semaspring kana tambo. Mutemo uyu unoti simba rinodiwa kuti munhu achinje hurefu hwechinhu chinopfapfaidza rinoenderana nekuchinja kwehurefu.
Nheyo ye superposition inoti kana mafungu maviri kana anopfuura akasangana, kusuduruka kwese pane imwe nzvimbo ihuwandu hwe algebraic hwe kusuduruka kunokonzerwa nemafungu ega ega. Izvi zvinogona kukonzera kupindirana kwekuvaka (kuwedzera) kana kuparadza (kuderera), zvichienderana nechikamu chemafungu anosangana.
Mashandisirwo eMechanical Waves
1. Mafungu Eruzha
Mafungu eruzha muenzaniso mukuru wemafungu emuchina anopararira kuburikidza nechinhu chakadai semhepo, mvura, kana zvinhu zvakasimba. Mafungu eruzha anoshandiswa mumhando dzakasiyana-siyana, kusanganisira kutaurirana (kuburikidza nekutaura kana zvishandiso zvemagetsi), sonar, uye ultrasound medical imaging.
2. Kudzidziswa kweMaseismology
Mukuongorora kwepasi, mafungu epasi imhando yemafungu emagetsi anopararira nepasi nekuda kwekudengenyeka kwenyika. Kune mhando mbiri huru dzemafungu epasi: mafungu ekutanga (P), ari mafungu enguva refu, uye mafungu echipiri (S), ari kutenderera. Kuongororwa kwemafungu aya epasi kunobatsira vanoongorora geology kunzwisisa chimiro chemukati chePasi uye kufanotaura chiitiko chepasi.
3. Zvishandiso zveMimhanzi
Munyika yemimhanzi, zviridzwa zvakawanda zvemimhanzi zvinoburitsa ruzha kuburikidza nekudengenyeka kwemuchina kunokonzera mafungu emuchina. Mienzaniso inosanganisira tambo yegitare inodedera kana yabviswa, kana membrane yedhiramu inodedera kana yarohwa. Kureba kwehurefu uye frequency yekudengenyeka kwetambo idzi zvinosarudza kukwirira kunobuda.
4. Maitiro eIndasitiri
Maitiro akasiyana-siyana emaindasitiri anoshandisawo mafungu emagetsi. Semuenzaniso, mukugadzira simbi, mafungu emagetsi anoshandiswa kuona zvikanganiso kana mitswe iri musimbi. Mukugadzira chikafu, kutenderera kwemagetsi kunoshandiswa mukuparadzanisa nekusanganisa zvinhu.
Kuedza uye Kucherechedza
Kuyera Kumhanya Kwemafungu
Imwe nzira iri nyore yekuyera kumhanya kwemafungu patambo ndeyekudedera mugumo mumwe wetambo uye kuyera nguva inotora kuti mafungu afambe achitevedza tambo. Uchiziva kureba kwetambo (\(L\)) nenguva (\(t\)), kumhanya kwemafungu (\(v\)) kunogona kuverengerwa uchishandisa fomura:
\[ v = \frac{L}{t} \]
Kuongororwa kweKupindirana kwemafungu
Kuedza kupindira kwemafungu kunogona kuitwa uchishandisa mafungu emvura mutangi remafungu. Nekugadzira manyuko maviri ari pedyo emafungu, maitiro ekupindira anovaka uye anoparadza anogona kuonekwa. Izvi zvinoratidza musimboti we superposition mukushanda uye zvinobatsira kudzamisa kunzwisisa kwedu kwechikamu chemafungu uye amplitude.
Mhedziso
Mafungu emakanika anoita basa rakakosha muzviitiko zvakawanda zvepanyama uye ane mashandisirwo akasiyana-siyana muhupenyu hwezuva nezuva, muindasitiri, uye mukutsvaga kwesainzi. Nekudzidza mafungu emakanika, tinogona kuwana kunzwisisa kwakadzama kwekuti simba rinofambiswa sei kuburikidza nechinhu chepanyama, pamwe nekuti hunhu hwemafungu akadai sefrequency, wavelength, uye amplitude zvinopesvedzera sei maitiro avo.
Kunzwisisa dzidziso ye "wave mechanical theory" ihwaro hwakakosha kwete chete kune fizikisi yedzidziso asiwo kune mashandisirwo ayo akawanda anoshanda. Nekuramba tichigadzira tekinoroji uye nzira dzekutarisa, tinogona kushandisa pfungwa idzi kufambira mberi mune dzakasiyana siyana dzesainzi netekinoroji.
