nonleeniyar resonance

bhauthikashaasthrathil, nonleeniyar sisttathil resonance undaakunnathaan nonleeniyar resonance. nonleeniyar resonancil sisttam behaviour-resonance freekwansikalum modukalum-aandolanangalude amplitudine aasrayichirikkunnu, athesamayam leanier sisttangale sambandhichidatholam ithu aamplityoodil ninnu swathanthramaanu. noonn-leanier sisttangalile modukalude mishrithathe resonant interaakshan ennu vilikkunnu.
vivaranam.
saadhaaranayaayi rund tharam anurananakal verthirichariyanam-rekheeyavum nonleeniyarum. bhauthika veekshanakonil ninnu, bahyashakthi sisttathinte eejan-freekwansiyumaayi (rekheeyavum nonleeniyarum anurananm) poruthappedunnundo illayo ennathine adisthaanamaakkiyaanu avaa nirvachikkappedunnathu. prathipravartthana reethikalude oorjjavum vegathayum samrakshikkumbol vibrational modukalkku prathidhwanikkunna prathipravartthanathil prathipravartthikkaan kazhiyum. oorjja samrakshanam soochippikkunnathu modukalude aavruthikalude aakethuka poojyamaayirikkanam 
orupakshe vyathyasthamaaya soothravaakyam _ 2 chila nonleeniyar paarshyal deferential samavaakyathinte rekheeya bhaagatthinte eejan-freekwansikalaanu. formula _ 3 oru modumaayi bandhapetta taranga vektaraanu; poornnasankhya subscript formula _ 4 forrier harmonics-allengil eejanmodukalilekkulla soochikakalaanu-forrier seerees kaanuka. athanusarichu, freekwansi resonance avastha niravadhi anjjaathamaaya diophantine samavaakyathin thulyamaanu. avayude pariharangal kandethunnathinulla prashnam algoritam vazhi pariharikkaanaavillenn theliyikkapetta hilbertinte pathaamatthe prashnathinu thulyamaanu.
nonleeniyar resonance sidhaanthathinte pradhana ashayangalum phalangalum ivayaanu
nonleeniyar resonance shift.
nonleeniyar efakttukal harmonic oosilettarukalude anuranana vakrangalude aakruthiyil ganyamaaya maattam varuthiyekkaam.
onnamathaayi, resonance freekwansi formula _ 6 athinte "swaabhaavika" moolya formula _ 7 ll ninnu formula anusarichu maattunnu.
ivide formula _ 9 ennathu andolana amplitude formula _ 10 ennathu anharmonic coffificientukal nirvachichirikkunna oru sthiraankavumaanu.
randaamathaayi, anuranaa vakrathinte aakruthi vikruthamaanu (foldover prabhavam). (sinusoidal) baahya shakti soothravaakyathinte amplitude _ 11 oru nirnaayaka moolya soothravaakyathilethum _ 12 asthirathakal prathyakshappedunnu. nirnaayaka moolyam formula nalkunnu
ivide formula _ 14 oosilettar masses formula _ 15 damping coffificientum aanu.
koodaathe, formula _ 7 nuu aduthulla aavruthiyude aandolanangal formula _ 17 ll ninnu thikachum vyathyasthamaaya aavruthiyulla oru baahya shakthiyal aaveshabharithamaakunna puthiya anurananakal prathyakshappedunnu.
nonleeniyar freekwansi response functionukal.
saamaanyavalkkaricha aavruthi prathikarana pravartthanangalum nonleeniyar outtputtu aavruthi prathikarana pravartthanangalum aavruthi domainile sankeernamaaya nonleeniyar perumattangal thathwaparamaaya reethiyil padikkaan upayokthaavine anuvadikkunnu. eee functionukal resonance ridjukal, harmonic, inter modulation, energy transfer efakttukal enniva velippeduthunnu, ithu sankeernamaaya nonleeniyar discreet, condinues time modalukalil ninnu freekwansi domainumaayi eee padangale bandhappedutthaan upayokthaavine anuvadikkunnu.

