saqarTvelos erovnul samecniero fonds
warmogidgenT # 035 xelSekrulebis 3.7 punqtiT gaTvaliswinebuli
xelSekrulebis nomeri
saxelmwifo samecniero grantiT # GNSF/ST06/3-035 dafinansebuli
grantis nomeri
proeqtis: “deformad myar da Txevad nawilebisagan Semdgari garemos ierarqiuli maTematikuri modelebis ageba da gamokvleva”
proeqtis dasaxeleba
VIII kvartlis teqnikur angariSs.
danarTi 1 - teqnikuri angariSi:
forma #1 – zogadi informacia;
forma #2 – programuli angariSi;
forma #3 – finansuri angariSi.
wamyvani organizaciis xelmZRvanelis xelmowera da beWedi: ________________________
TariRi: __________________
I. z o g a d i i n f o r m a c i a
proeqtis saxelwodeba:
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deformad myar da Txevad nawilebisagan Semdgari garemos ierarqiuli maTematikuri modelebis ageba da gamokvleva
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proeqtis xelmZRvaneli:
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giorgi jaiani
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proeqtis xelmZRvanelis sakontaqto informacia:
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tel: 188098; 290470
faqsi: 186645
el-fosta: jaiani@viam.sci.tsu.ge; george.jaiani@gmail.com
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grantis mimRebi wamyvani organizacia:
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iv. javaxiSvilis sax. Tbilisis saxelmwifo universiteti
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saangariSo kvartlis nomeri:
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8
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saangariSo kvartlis vadebi:
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(01.07.08 – 30.09.08)
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saangariSo kvartliT gansazRvruli tranSis odenoba
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9,781.5 lari
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grantis mTliani odenoba
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98,640.00 lari
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proeqtis xangrZlivoba
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8 kvartali
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proeqtis xelmZRvanelis xelmowera: _________________
2. p r o g r a m u l i a n g a r i S i
proeqtis Sifri 06_862_3-109
#
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dasaxuli amocanebi
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ganxorcielebuli amocanebis mokle aRwera
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ganxorcielebuli amocanebis Sesrulebis amsaxveli TandarTuli angariSgebis masalebis nusxa
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faqtiurad Sesrulebeli amocanebis Sesabamosoba gegmiur amocanebTan. amocanebis nawilobriv Sesrulebis an arSesrulebis SemTxvevaSi - mizezebis ganmarteba
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1.
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1.1 drekadi myari da Txevadi nawilebisagan Semdgari mravalfeniani prizmuli garsebisaTvis dinamikuri samganzomilebiani amocanis
organzomilebiani modelebis ierarqiiT aproqsimacia
(g. avaliSvili, m. avaliSvili, d. gordeziani)
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variaciuli midgomis gamoyenebiT agebulia myari drekadi da Txevadi nawilebisagan Semdgari prizmuli garsis ierarqiuli organzomilebiani modelebi. ganxilulia drekadi da Txevadi nawilebisagan Semdgari sxeulis samganzomilebiani dinamikuri maTematikuri modeli, roca myari nawili warmoadgens sazogadod araerTgvarovan, anizotropul drekad garemos, xolo Txevadi nawili ki erTgvarovani blanti arakumSvadi siTxisagan Sedgeba. drekadi nawilis daZabul-deformirebuli mdgomareobis aRwerisaTvis gamoiyeneba drekadobis Teoriis wrfivi modeli, Txevad nawilSi ki navie-stoqsis gantolebaTa sistemis ozeenis gawrfivebuli modeli. aRniSnuli modelebis Sesabamisi diferencialuri saxiT mocemuli samganzomilebiani sawyis-sasazRvro amocanisaTvis moyvanilia variaciuli formulireba da amocanaSi Semavali funqciebis sakmarisi sigluvis pirobebSi naCvenebia maTi eqvivalenturoba. myari da Txevadi nawilebisagan Semdgari sxeulis organzomilebian modelTa ierarqiis asagebad ganxilulia cvalebadi sisqis prizmul garsebi da sasazRvro pirobebis sami varianti, roca zeda da qveda piriT zedapirebze mocemulia Zabvebi; zeda da qveda piriTi zedapirebi Camagrebulia myari nawiliT da Txevadi nawilis Sesabamis sazRvarze siCqare nulis tolia; da zeda piriTi zedapiris myari nawili Camagrebulia da Txevadi nawilis sazRvris gaswvriv siCqare nulis tolia, xolo qveda piriT zedapirze mocemulia Zabva. TiToeul SemTxvevaSi Semotanilia ZiriTadi sivrceebis qvesivrceebi, romelTa veqtor-funqciebis komponentebi warmoadgenen polinomebs prizmuli garsis sisqis mixedviT cvladis mimarT da am qvesivrceebze gadasvliT agebulia myari drekadi da Txevadi nawilebisagan Semdgari prizmuli garsis dinamikur organzomilebian modelTa ierarqiebi.
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ix. danarTi 1.3, 4 da 5
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Sesrulebulia
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1.2 diferencialuri ierarqiuli modelebis ageba blanti siTxisaTvis, romelsac ukavia Txeli cvladi simaRlis prizmuli are
(n. CinCalaze, g. jaiani)
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ozeenis modelze dayrdnobiT cxadi saxiTaa agebuli ierarqiuli diferencialuri modelebis ori varianti, roca blant (kerZod, idealur) siTxes ukavia mcire sisqis prizmuli are, piriT zedapirebze mocemulia an mxolod Zabvebi, an mxolod gadaadgilebebi, xolo gverdiT cilindrul zedapirebze nebismieri sasazRvro pirobebi. dasmulia sakontaqto pirobebi ierarqiuli modelebisTvis, roca garemo Sedgeba myari drekadi da Txevadi nawilebisgan, romelTac ukaviaT cvladi sisqis prizmuli areebi (e. i. myari drekadi nawili prizmul garss warmoadgens). SemdegSi sidideebs aRvniSnavT msgavsi simboloebiT niSnakebiT s da f, rac myari da Txevadi nawilebis Sesabamisi iqneba.
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ix. danarTi 1.3, 4 da 5
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Sesrulebulia
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2.
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drekadi da Txevadi nawilebisagan Semdgari garemos arawrfivi ierarqiuli modelebi sawyisi miaxloebebisaTvis
(T. vaSaymaZe)
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pirvel-oTx kvartalSi agebuli arastacionaruli (sivrculi cvladis mimarT organzomilebiani) modelebi sawyisi () miaxloebisaTvis [ganixilulia ori SemTxveva: wrfivi (ozeenis modeli) da arawrfivi] gamoyenebulia droiTi cvladis mimarT wrfeTa (rotes tipis-anu naxevraddiskretizaciis) meTodi. Semdgom drois yovel bijze igeba, rogorc wesi, aracxadi sqemebi, romlebic warmoadgens arawrfiv sasazRvro amocanaTa sistemebs. Catarebul iqna gaTvlebi testuri amocanebisaTvis.
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ix. danarTi 2.2, 4 da 5
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Sesrulebulia
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3.
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deformadi myari da Txevadi nawilebisagan Semdgari garemos ierarqiuli modelebis gantolebebis ricxviTi amoxsnis algoriTmebis ageba da gamokvleva
(j. rogava, m. wiklauri, r. boWoriSvili)
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SemuSavebulia drekadi prizmuli garsisa da marCxi wylis urTierTqmedebis amocanis ricxviTi amoxsnis algoriTmi nulovani miaxloebisaTvis, sazogadod, aracilindruli deformaciis (wina kvartalSi ganxiluli iyo cilindruli deformacia) SemTxvevaSi.
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ix. danarTi 3.2, 4 da 5
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Sesrulebulia
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g. jaiani
___________________________________________
proeqtis xelmZRvanelis gvari da xelmowera
konferenciebSi monawileoba
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Chinchaladze N., On a system consisting of degenerate equations of second order, 5ECM (5th European Congress of Mathematics), Amsterdam (Netherlands), 13-17 July, 2008
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Jaiani G., On existence theorems for cuspidal prismatic shell–like bodies, 5ECM (5th European Congress of Mathematics), Amsterdam (Netherlands), 13-17 July, 2008
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M. Avalishvili, G. Avalishvili, D. Gordeziani, On mathematical modelling of multilayer prismatic shells consisting of elastic and fluid parts, International Conference "Modern Problems in Applied Mathematics", Tbilisi, October 7 - October 9, 2008.
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Chinchaladze N., On a cylindrical vibration of a double-layer prismatic body, International Conference "Modern Problems in Applied Mathematics", Tbilisi, October 7 - October 9, 2008.
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Jaiani G., Partial differential equations in thin domains, International Conference "Modern Problems in Applied Mathematics", Tbilisi, October 7 - October 9, 2008.
proeqtis farglebSi miRebuli Sedegebis safuZvelze
gamoqveynebuli Sromebis nusxa
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M. Avalishvili, G. Avalishvili, D. Gordeziani. On mathematical modelling of multilayer prismatic shells consisting of elastic and fluid parts, Book of Abstracts of the International Conference "Modern Problems in Applied Mathematics", Tbilisi, October 7 - October 9, 2008, p. 73
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Chinchaladze N., On a cylindrical vibration of a double-layer prismatic body, Book of Abstracts of the International Conference "Modern Problems in Applied Mathematics", Tbilisi, October 7 - October 9, 2008, p. 50
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Jaiani G., Partial differential equations in thin domains, Book of Abstracts of the International Conference "Modern Problems in Applied Mathematics", Tbilisi, October 7 - October 9, 2008, p. 51
konferenciebSi monawileoba
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Vashakmadze T., Initial approximations of nonlinear hierarchical models for medium consisting of porous-solid and fluid parts, International Conference "Modern Problems in Applied Mathematics", Tbilisi, October 7 - October 9, 2008
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Vashakmadze T., Chikashua R., Arabidze D., Two methods of approximate solution of boundary value problems for ordinary differential equations, International Conference "Modern Problems in Applied Mathematics", Tbilisi, October 7 - October 9, 2008
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Vashakmadze T., Von karman type systems of equation for porous, piezo and viscous elastic plates, International Conference "Modern Problems in Applied Mathematics", Tbilisi, October 7 - October 9, 2008
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vaSaymaZe T., relei-lembis tipis moculobiTi talRebis Sesaxeb, k. zavrievis saxelobis samSeneblo meqanikisa da seismomedegobis institutis saqalaqo seminari - 2 ivlisi, 2008
proeqtis farglebSi miRebuli Sedegebis safuZvelze
gamoqveynebuli Sromebis nusxa
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Vashakmadze T., Initial approximations of nonlinear hierarchical models for medium consisting of porous-solid and fluid parts, Book of Abstracts of the International Conference "Modern Problems in Applied Mathematics", Tbilisi, October 7 - October 9, 2008, p. 56
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Vashakmadze T., Chikashua R., Arabidze D., Two methods of approximate solution of boundary value problems for ordinary differential equations, Book of Abstracts of the International Conference "Modern Problems in Applied Mathematics", Tbilisi, October 7 - October 9, 2008, p. 81
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Vashakmadze T., Von karman type systems of equation for porous, piezo and viscous elastic plates, Book of Abstracts of the International Conference "Modern Problems in Applied Mathematics", Tbilisi, October 7 - October 9, 2008, p. 30
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Vashakmadze T., 2D Nonlinar Mathematical Models of von Kármán-Mindlin-Reissner Type for Thin-walled Structures Connected with Seismic Problems. Materials of the first International Conference on Seismic Safety Problems Region Population, Cities and Departments, SSCR-2008, Sept. 8-11, Tbilisi, 3p.
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Vashakmadze T., Mathematical Models for Bending Problems of some Thin-walled Elastic Structuresfor Binary Mixtures, Materials of Interntional Conference “Architecture and Construction – Topical Problems”, 2008, YSUAC, Yerevan,5p.
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Vashakmadze T., - Filon type Mathematical Models for Extension (Compression) Processes of some Thin-walled Elastic Structures for Binary Mixtures . Materials of Interntional Conference “Architecture and Construction – Topical Problems”, 2008, YSUAC, Yerevan, 5p.
konferenciebSi monawileoba
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Rogava J, Tsiklauri M., On Error Estimation of Symmetric Decomposition Formula for the Semigroup, International Conference "Modern Problems in Applied Mathematics", Tbilisi, October 7 - October 9, 2008.
proeqtis farglebSi miRebuli Sedegebis safuZvelze
gamoqveynebuli Sromebis nusxa
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Rogava J, Tsiklauri M., On Error Estimation of Symmetric Decomposition Formula for the Semigroup, Book of Abstract of the International Conference "Modern Problems in Applied Mathematics", Tbilisi, October 7 - October 9, 2008, p. 54
proeqtis GNSF/ST06/3-035 seminaris
o q m i
29 seqtemberi 2008 weli
seminars eswrebodnen: g. avaliSvili, m. avaliSvili, T. vaSaymaZe, d. gordeziani, j. rogava, n. CinCalaZe, m. wiklauri, g. jaiani
dRis wesrigi:
proeqtis GNSF/ST06/3-035 SemsrulebelTa mier me-8 kvartalSi gaweuli muSaobis angariSi (prof. giorgi jaiani)
moismines:
1. daviT gordezianis, mariam avaliSvilis da gia avaliSvilis moxseneba Temaze: "drekadi da Txevadi nawilebisagan Semdgari garemos wrfivi ierarqiuli modelebis ageba Txevad nawilSi ozeenis gawrfivebuli modelis gamoyenebiT"
2. natalia CinCalaZis da giorgi jaianis moxseneba Temaze: "ozeenis tipis ierarqiuli diferencialuri modelebis ori varianti, roca siTxes ukavia prizmuli are"
3. Tamaz vaSaymaZis moxseneba Temaze "drekadi da Txevadi nawilebisagan Semdgari garemos arawrfivi ierarqiuli modelebi sawyisi miaxloebebisaTvis naxevraddiskretuli sqemebis ageba-gamokvleva"
4. jemal rogavas da mixeil wiklauris moxseneba Temaze: "mudmivi sisqis organzomilebiano drekadi prizmuli garsisa da marCxi wylis urTierTqmedebis amocanis ricxviTi amoxsnis algoriTmi nulovani miaxloebisaTvis"
azri gamoTqves:
d. gordezianma, T. vaSaymaZem da j. rogavam.
g. jaianma Seajama miRebuli Sedegebi.
daadgines:
miRebul iqnas cnobad, rom moxsenebuli axali Sedegebi srulad Seesabameba me-8 kvartalSi proeqtiT GNSF/ST06/3-035 gaTvaliswinebul samuSaoebs.
seminaris xelmZRvaneli, profesori g. jaiani
sademonstracio dRe
a.w. 7-9 oqtombers iv. javaxiSvilis saxelobis Tbilisis saxelmwifo universitetis i. vekuas gamoyenebiTi maTematikis institutSi Catarda saerTaSoriso konferencia "gamoyenebiTi maTematikis Tanamedrove problemebi" (programis da Tezisebis eleqtronuli versia ixileT http://www.viam.science.tsu.ge/viam40/announcement.htm).
kerZowarmoebuliani diferencialuri gantolebebis, kompiuteruli meqanikis da maTematikuri modelirebis da ricxviTi analizis seqciebze Sedga proeqtis GNSF/ST06/3-035 (xelmZRvaneli g. jaiani) monawileTa mier proeqtis farglebSi miRebuli Sedegebis prezentacia, razec winaswar ecnoba saqarTvelos erovnul samecniero fonds.
III. f i n a n s u r i a n g a r i S i
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proeqtis dafinansebis dawyebis TariRi – 01.10.2006 # 429
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saangariSo periodis dasrulebis TariRi - 30.09.2008
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Tanxa larebSi
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moTxovnili dokumentebi:
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1. amonaweri bankidan saangariSo periodisaTvis.
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2. saangariSo periodSi SeZenili ZiriTadi saSualebebisa da mcirefasiani sagnebis sainventaro nusxa.
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3. ganmartebiTi baraTi sabanko angariSze darCenili naSTis Taobaze.
wamyvani organizaciis xelmZRvanelis xelmowera: _______________________________
wamyvani organizaciis mTavari buRaltris xelmowera: ___________________________
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SeTanxmebulia:
proeqtis xelmZRvanelis xelmowera: _____________
TariRi: ___________________
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Do'stlaringiz bilan baham: |