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САПР изделий из композиционных материалов. Моделирование процессов деформирования и разрушения в среде ANSYS... PDF

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Ôåäåðàëüíîåàãåíòñòâîïîîáðàçîâàíèþ Ãîñóäàðñòâåííîåîáðàçîâàòåëüíîåó÷ðåæäåíèå âûñøåãîïðîôåññèîíàëüíîãîîáðàçîâàíèÿ «Ïåðìñêèéãîñóäàðñòâåííûéòåõíè÷åñêèéóíèâåðñèòåò» À.Ã.Êîòîâ ÑÀÏÐ ÈÇÄÅËÈÉ ÈÇ ÊÎÌÏÎÇÈÖÈÎÍÍÛÕ ÌÀÒÅÐÈÀËÎÂ. ÌÎÄÅËÈÐÎÂÀÍÈÅ ÏÐÎÖÅÑÑΠÄÅÔÎÐÌÈÐÎÂÀÍÈß È ÐÀÇÐÓØÅÍÈß Â ÑÐÅÄÅ ANSYS Óòâåðæäåíî Ðåäàêöèîííî-èçäàòåëüñêèìñîâåòîìóíèâåðñèòåòà âêà÷åñòâåó÷åáíîãîïîñîáèÿ Èçäàòåëüñòâî Ïåðìñêîãîãîñóäàðñòâåííîãîòåõíè÷åñêîãîóíèâåðñèòåòà 2008 ÓÄÊ539.3 Ê73 Ðåöåíçåíòû: äîêòîðôèçèêî-ìàòåìàòè÷åñêèõíàóêÀ.À.Ðîãîâîé (ÈíñòèòóòìåõàíèêèñïëîøíûõñðåäÓÐÎÐÀÍ); äîêòîðòåõíè÷åñêèõíàóêÃ.Ë.Êîëìîãîðîâ (Ïåðìñêèéãîñóäàðñòâåííûéòåõíè÷åñêèéóíèâåðñèòåò) Êîòîâ,À.Ã. Ê73 ÑÀÏÐ èçäåëèé èç êîìïîçèöèîííûõìàòåðèàëîâ. Ìîäåëèðîâà- íèå ïðîöåññîâ äåôîðìèðîâàíèÿ è ðàçðóøåíèÿ â ñðåäå ANSYS: ó÷åá.ïîñîáèå/À.Ã.Êîòîâ.(cid:2)Ïåðìü:Èçä-âîÏåðì.ãîñ.òåõí.óí-òà, 2008.(cid:2)351ñ. ISBN978-5-398-00118-1 ÈçëîæåíûîñíîâûìîäåëèðîâàíèÿâñðåäåANSYS.Ïðèâåäåíûìàòåìàòè÷åñêèå ïîñòàíîâêèèìåòîäûðåøåíèÿçàäà÷ìåõàíèêèêîíñòðóêöèé,ñâÿçàííûåñîñòàòè÷å- ñêèìàíàëèçîì,èññëåäîâàíèåìñâîáîäíûõèâûíóæäåííûõêîëåáàíèé,àíàëèçîìïå- ðåõîäíûõäèíàìè÷åñêèõïðîöåññîâ,ðàçðóøåíèÿ,ðåøåíèåìêîíòàêòíûõçàäà÷èçà- äà÷òåïëîôèçèêè;îïèñàíûèíñòðóìåíòàëüíûåñðåäñòâàïðèìåíåíèÿìåòîäàêîíå÷- íûõ ýëåìåíòîâ ê ÷èñëåííîìó àíàëèçó ïîâåäåíèÿ êîíñòðóêöèé. Ïðåäñòàâëåííûé ìàòåðèàëäîïîëíÿåòáàçîâûåêóðñû«Ìåõàíèêà»,«Ñîïðîòèâëåíèåêîìïîçèöèîííûõ ìàòåðèàëîâ»,«Óïðóãîñòüàíèçîòðîïíûõìàòåðèàëîâ»,«Ñòðîèòåëüíàÿìåõàíèêàêîì- ïîçèòíûõêîíñòðóêöèé»,«Ðàñ÷åòíàïðî÷íîñòüèìåòîäûèñïûòàíèéêîìïîçèòíûõ êîíñòðóêöèé»,«Êîìïüþòåðíîåìîäåëèðîâàíèåïðîöåññîâäåôîðìèðîâàíèÿèðàçðó- øåíèÿèçäåëèéèçêîìïîçèòîâ»èïðåäíàçíà÷åíäëÿîáó÷åíèÿïîäèñöèïëèíå«ÑÀÏÐ èçäåëèéèçêîìïîçèöèîííûõìàòåðèàëîâ». Ïðåäíàçíà÷åíîäëÿñòóäåíòîâñïåöèàëüíîñòè150502«Êîíñòðóèðîâàíèåèïðî- èçâîäñòâîèçäåëèéèçêîìïîçèöèîííûõìàòåðèàëîâ»,àòàêæåäëÿàñïèðàíòîâèñïå- öèàëèñòîâïîïðîåêòèðîâàíèþèçäåëèéàýðîêîñìè÷åñêîéòåõíèêè. ÓÄÊ539.3 Èçäàíî â ðàìêàõ ïðèîðèòåòíîãî íàöèîíàëüíîãî ïðîåêòà «Îáðàçîâàíèå» ïî ïðîãðàììå Ïåðìñêîãî ãîñóäàðñòâåííîãî òåõíè÷åñêîãî óíèâåðñèòåòà «Ñîçäàíèå èííîâàöèîííîé ñèñòåìû ôîðìèðîâàíèÿ ïðîôåññèîíàëüíûõ êîìïåòåíöèé êàäðîâ èöåíòðàèííîâàöèîííîãîðàçâèòèÿðåãèîíàíàáàçåìíîãîïðîôèëüíîãîòåõíè÷åñêî- ãîóíèâåðñèòåòà» ISBN978-5-398-00118-1 ©ÃÎÓÂÏΫÏåðìñêèéãîñóäàðñòâåííûé òåõíè÷åñêèéóíèâåðñèòåò»,2008 ÎÃËÀÂËÅÍÈÅ ÂÂÅÄÅÍÈÅ............................................................................................................... 9 ÃËÀÂÀ1 ÈÍÒÅÐÔÅÉÑÏÐÎÃÐÀÌÌÛANSYS..............................................................12 ÃËÀÂÀ2 ÏÎÑÒÐÎÅÍÈÅÃÅÎÌÅÒÐÈ×ÅÑÊÎÉÌÎÄÅËÈ............................................16 2.1.Âîñõîäÿùååïðîåêòèðîâàíèå.......................................................................18 2.1.1.Ñîçäàíèåêëþ÷åâûõòî÷åêèîïåðàöèèñíèìè................................18 2.1.2.Ñîçäàíèåïîñòîÿííûõòî÷åêèîïåðàöèèñíèìè.............................20 2.1.3.Ñîçäàíèåëèíèéèîïåðàöèèñíèìè..................................................22 2.1.4.Ñîçäàíèåïîâåðõíîñòåéèîïåðàöèèñíèìè.....................................25 2.1.5.Ñîçäàíèåîáúåìíûõòåëèîïåðàöèèñíèìè....................................28 2.2.Íèñõîäÿùååïðîåêòèðîâàíèå.......................................................................32 2.2.1.Ïîâåðõíîñòíûåòèïîâûåýëåìåíòû...................................................32 2.2.1.1.Ñïîñîáûñîçäàíèÿïðÿìîóãîëüíîéïîâåðõíîñòè..........................32 2.2.1.2.Ñïîñîáûñîçäàíèÿêðóãîâîéïîâåðõíîñòèèëè ïîâåðõíîñòèââèäåêðóãîâîãîñåãìåíòà.....................................................32 2.2.1.3.Ñïîñîáûñîçäàíèÿïîâåðõíîñòèââèäåïðàâèëüíîãî ìíîãîóãîëüíèêà.............................................................................................33 2.2.2.Îáúåìíûåòèïîâûåýëåìåíòû............................................................34 2.2.2.1.Ñïîñîáûñîçäàíèÿáëîêà(«êèðïè÷»).............................................34 2.2.2.2.Ñïîñîáûñîçäàíèÿöèëèíäðè÷åñêîãîòåëà.....................................35 2.2.2.3.Ñïîñîáûñîçäàíèÿïðèçìû..............................................................35 2.2.2.4.Ñïîñîáûñîçäàíèÿøàðàèëèøàðîâîãîñåãìåíòà.........................36 2.2.2.5.Ñïîñîáûñîçäàíèÿêîíóñàèêîíè÷åñêîãîñåêòîðà.......................36 2.2.2.6.Ñïîñîáñîçäàíèÿòîðàèëèòîðîèäàëüíîãîñåêòîðà......................36 2.2.3.Ñîçäàíèåìîäåëèñïîìîùüþáóëåâûõîïåðàöèé...................................37 3 2.2.3.1.Óñòàíîâêàîïöèéáóëåâûõîïåðàöèé.............................................37 2.2.3.2.Îïåðàöèèïåðåñå÷åíèÿ....................................................................38 2.2.3.3.Îïåðàöèèïîïàðíîãîïåðåñå÷åíèÿ.................................................41 2.2.3.4.Îïåðàöèèîáúåäèíåíèÿ...................................................................41 2.2.3.5.Îïåðàöèèâû÷èòàíèÿ.......................................................................43 2.2.3.6.Îïåðàöèèäåëåíèÿðàáî÷åéïëîñêîñòüþ........................................49 2.2.3.7.Îïåðàöèèïåðåêðûòèÿ.....................................................................50 2.2.3.8.Îïåðàöèèïåðåêðûòèÿðàçäåëåííûõîáúåêòîâ..............................51 2.2.3.9.Îïåðàöèèñêëåéêè............................................................................53 ÃËÀÂÀ3 ÏÎÑÒÐÎÅÍÈÅÑÅÒÎ×ÍÎÉÌÎÄÅËÈ............................................................55 3.1.Íàçíà÷åíèåàòðèáóòîâêîíå÷íîãîýëåìåíòà...............................................56 3.2.Íàçíà÷åíèåàòðèáóòîâñåòè íàîáúåêòàõãåîìåòðè÷åñêîéìîäåëè...........................................................57 3.3.Íàçíà÷åíèåîïöèéñåòî÷íîãîãåíåðàòîðà èóïðàâëåíèåïðîöåññîìïîñòðîåíèÿñåòè.................................................58 3.3.1.Óðîâåíüïëîòíîñòèñåòè.....................................................................58 3.3.2.Îïöèèñåòî÷íîãîãåíåðàòîðà.............................................................59 3.3.3.Ôîðìàêîíå÷íîãîýëåìåíòà................................................................62 3.3.4.Ëîêàëüíûåñðåäñòâàóïðàâëåíèÿðàçáèåíèåì .................................63 3.3.5.Ãåíåðàöèÿñåòè....................................................................................64 3.3.6.Èíñòðóìåíòàëüíûåñðåäñòâàóïðàâëåíèÿ ñåòî÷íûìãåíåðàòîðîì.................................................................................65 3.3.7.h-èp-ìåòîäûèññëåäîâàíèÿñõîäèìîñòè.........................................66 3.3.8.Ïðèîðèòåòûîïåðàöèé........................................................................67 ÃËÀÂÀ4 ÒÈÏÛÀÍÀËÈÇÀÈÐÅØÀÒÅËÈ.....................................................................69 4.1.Ïðî÷íîñòíîéñòàòè÷åñêèéàíàëèç...............................................................72 4.2.Ïðî÷íîñòíîéäèíàìè÷åñêèéàíàëèç............................................................73 4.2.1.Äèíàìèêàïåðåõîäíûõïðîöåññîâ.....................................................74 4.2.2.Ìîäàëüíûéàíàëèç..............................................................................77 4.2.3.Ãàðìîíè÷åñêèéàíàëèç.......................................................................79 4 4.2.4.Ñïåêòðàëüíûéàíàëèç.........................................................................80 4.2.5.Îòêëèêíàñëó÷àéíóþâèáðàöèþ.......................................................80 4.3.Àíàëèçóñòîé÷èâîñòèêîíñòðóêöèé.............................................................81 4.3.1.Ëèíåéíûéïîäõîä...............................................................................82 4.3.2.Íåëèíåéíûéïîäõîä...........................................................................83 4.4.Êîíñòðóêòèâíûåíåëèíåéíîñòè...................................................................86 4.5.Íåëèíåéíûåìîäåëèïîâåäåíèÿìàòåðèàëà................................................88 4.6.Ãåîìåòðè÷åñêèåíåëèíåéíîñòè....................................................................94 4.7.Íåëèíåéíûåýëåìåíòû..................................................................................96 4.8.Êèíåìàòè÷åñêèéàíàëèç...............................................................................99 4.9.Òåïëîâîéàíàëèç.........................................................................................102 4.9.1.Ñòàöèîíàðíàÿòåïëîïðîâîäíîñòü...........................................................102 4.9.2.Íåñòàöèîíàðíûéïðîöåññ.......................................................................104 4.9.3.Ôàçîâûåïðåâðàùåíèÿ.............................................................................105 4.9.4.Òåðìîóïðóãèéàíàëèç..............................................................................106 4.10.Ãèäðîàýðîäèíàìè÷åñêèéàíàëèç.............................................................107 ÃËÀÂÀ5 ÒÈÏÛÑÈÑÒÅÌÊÎÎÐÄÈÍÀÒ......................................................................115 5.1.Ãëîáàëüíûåñèñòåìûêîîðäèíàò...............................................................115 5.2.Ëîêàëüíûåñèñòåìûêîîðäèíàò.................................................................116 5.3.Àêòèâíàÿñèñòåìàêîîðäèíàò.....................................................................117 5.4.Ïîâåðõíîñòèïîñòîÿííîãîóðîâíÿ............................................................118 5.5.Äèñïëåéíàÿñèñòåìàêîîðäèíàò................................................................118 5.6.Óçëîâûåñèñòåìûêîîðäèíàò.....................................................................120 5.7.Ýëåìåíòíûåñèñòåìûêîîðäèíàò...............................................................121 5.8.Ñèñòåìàêîîðäèíàòïðåäñòàâëåíèÿðåçóëüòàòîâ......................................122 ÃËÀÂÀ6 ÎÒÁÎÐÎÁÚÅÊÒÎÂ,ÊÎÌÏÎÍÅÍÒÛÈÀÍÑÀÌÁËÈ................................124 6.1.Ôóíêöèèîòáîðàîáúåêòîâ.........................................................................125 5 6.2.Îêíîäèàëîãàîòáîðàîáúåêòîâ..................................................................126 6.3.Êîìàíäíûéñïîñîá.....................................................................................128 6.4.Êîìïîíåíòûèàíñàìáëè............................................................................130 6.5.Îïåðàöèèïðîåêöèèäëÿêîìïîíåíòîâèàíñàìáëåé................................131 6.6.Äðóãèåîïåðàöèèîòáîðà............................................................................132 ÃËÀÂÀ7 ÊÎÌÏÎÇÈÒÛ....................................................................................................134 7.1.Òðåõñëîéíàÿêîìïîçèöèÿ...........................................................................136 7.2.Îïèñàíèåìíîãîñëîéíîéêîìïîçèöèè......................................................137 7.3.Êðèòåðèèïðî÷íîñòè...................................................................................143 ÃËÀÂÀ8 ÌÅÕÀÍÈÊÀÐÀÇÐÓØÅÍÈß..........................................................................147 8.1.Ïàðàìåòðûòðåùèíîñòîéêîñòè..................................................................147 8.2.Îïèñàíèåîáëàñòèâîêðóãêðàÿòðåùèíû.................................................148 8.3.Âû÷èñëåíèåïàðàìåòðîâòðåùèíîñòîéêîñòè...........................................152 ÃËÀÂÀ9 ÑÒÐÓÊÒÓÐÍÎÅÏÐÎÃÐÀÌÌÈÐÎÂÀÍÈÅ...................................................161 9.1.ßçûêAPDL..................................................................................................161 9.2.Îïåðàòîðûöèêëà........................................................................................165 9.3.Îïåðàòîðûâåòâëåíèÿàëãîðèòìà..............................................................168 9.4.Îïåðàòîðûââîäà-âûâîäà...........................................................................171 ÑÏÈÑÎÊËÈÒÅÐÀÒÓÐÛ.....................................................................................174 ÏÐÈËÎÆÅÍÈß ÏÐÈÌÅÐÛÐÅØÅÍÈßÇÀÄÀ×.......................................................................176 ÏÐÈËÎÆÅÍÈÅ1 Ïëîñêèéèçãèááàëîê[16]..................................................................................176 6 ÏÐÈËÎÆÅÍÈÅ2 Êðó÷åíèåñòåðæíåé[16]....................................................................................180 ÏÐÈËÎÆÅÍÈÅ3 Ðàñ÷åòôåðì[16].................................................................................................186 ÏÐÈËÎÆÅÍÈÅ4 Ðàñ÷åòðàì[16]...................................................................................................191 ÏÐÈËÎÆÅÍÈÅ5 Àíàëèçíàïðÿæåííî-äåôîðìèðîâàííîãîñîñòîÿíèÿâàëà, íàãðóæåííîãîîäíîíàïðàâëåííûìïîâåðõíîñòíûìäàâëåíèåì....................197 ÏÐÈËÎÆÅÍÈÅ6 Ñòàòè÷åñêèéàíàëèçóãîëêîâîãîêðîíøòåéíà ................................................206 ÏÐÈËÎÆÅÍÈÅ7 Ïðèìåíåíèåp-ìåòîäàäëÿðàñ÷åòàïëàñòèíêèñîòâåðñòèåì.........................216 ÏÐÈËÎÆÅÍÈÅ8 ÀíàëèçÍÄÑñèñòåìûâàë–âòóëêàïðèïîñàäêåñíàòÿãîì.............................224 ÏÐÈËÎÆÅÍÈÅ9 Ïîñòàíîâêàóñëîâèéñîâìåñòíîñòèäåôîðìàöèé äëÿíåñîâìåñòíîãîðàçáèåíèÿíàïðèìåðåçàäà÷èèçãèáàáðóñà...................238 ÏÐÈËÎÆÅÍÈÅ10 Èñïîëüçîâàíèåäåàêòèâàöèèýëåìåíòîâäëÿìîäåëèðîâàíèÿ ðàçðóøåíèÿòðóáûñíà÷àëüíûìäåôåêòîì.....................................................242 ÏÐÈËÎÆÅÍÈÅ11 Ìîäàëüíûéèãàðìîíè÷åñêèéàíàëèçîáîëî÷å÷íîéêîíñòðóêöèè ...............252 ÏÐÈËÎÆÅÍÈÅ12 Äèíàìè÷åñêèéêîíòàêòäâóõïîëûõñôåðñó÷åòîì óïðóãîïëàñòè÷åñêîãîäåôîðìèðîâàíèÿ...........................................................272 7 ÏÐÈËÎÆÅÍÈÅ13 Ìîäåëèðîâàíèåçàòâåðäåâàíèÿñëèòêà............................................................281 ÏÐÈËÎÆÅÍÈÅ14 Ëó÷èñòûéòåïëîîáìåíâçàìêíóòîéïîëîñòè..................................................290 ÏÐÈËÎÆÅÍÈÅ15 Ðàñ÷åòâèíòîâîãîçàáîéíîãîäâèãàòåëÿ âïëîñêîéïîñòàíîâêå........................................................................................302 ÏÐÈËÎÆÅÍÈÅ16 Ìîäåëèðîâàíèåäåôîðìèðîâàíèÿîáðàçöîâ ïðèðàñòÿæåíèèâóïðóãîïëàñòè÷åñêîéïîñòàíîâêå.......................................322 ÏÐÈËÎÆÅÍÈÅ17 Ìîäåëèðîâàíèåäåôîðìèðîâàíèÿ îáðàçöàíàòðåùèíîñòîéêîñòü..........................................................................332 ÏÐÈËÎÆÅÍÈÅ18 Ïðî÷íîñòíîéàíàëèçêîìïîçèòíîéöèëèíäðè÷åñêîéîáîëî÷êè ïîäâíóòðåííèìäàâëåíèåì...............................................................................339 ÂÂÅÄÅÍÈÅ ×èñëåííûåìåòîäûèðàçðàáîòàííûåíàèõîñíîâåêîìïüþòåðíûåâû- ÷èñëèòåëüíûå êîìïëåêñû ñòàëè â ñîâðåìåííîì èíæåíåðíîì è íàó÷íîì àíàëèçåïîâåäåíèÿìàòåðèàëîâ,ñðåä,êîíñòðóêöèéîñíîâíûìèíñòðóìåí- òàðèåì,ïîòåñíèâíàâòîðîéïëàíàíàëèòè÷åñêèåè÷èñëåííî-àíàëèòè÷å- ñêèåìåòîäû.Âèõîñíîâåïîëîæåíû: –çàìåíàêîíòèíóàëüíîéìîäåëèñåòî÷íîéè,ñîîòâåòñòâåííî,íåïðå- ðûâíûõ èñêîìûõ ôóíêöèé èõ äèñêðåòíûìè àíàëîãàìè, ïîñòðîåííûìè ââèäåàïïðîêñèìàöèéíàêîíå÷íîììíîæåñòâåêîîðäèíàòíûõèâðåìåí- íûõòî÷åê(ýëåìåíòîâ); – ÷èñëåííîå èíòåãðèðîâàíèå óðàâíåíèé ñîñòîÿíèÿ (ðàâíîâåñèÿ, äâè- æåíèÿ,òå÷åíèÿèäðóãèõ)ïóòåìïðåîáðàçîâàíèÿñèñòåìûäèôôåðåíöèàëü- íûõóðàâíåíèéâ÷àñòíûõïðîèçâîäíûõ(îáû÷íî2-ãîïîðÿäêà:ýëëèïòè÷å- ñêîãî,ïàðàáîëè÷åñêîãî,ãèïåðáîëè÷åñêîãîòèïà)âèñõîäíîéìàòåìàòè÷å- ñêîé ïîñòàíîâêå çàäà÷è ê ñèñòåìå ëèíåéíûõ èëè ëèíåàðèçîâàííûõ àëãåáðàè÷åñêèõ óðàâíåíèéñ ïîñëåäóþùèì ðåøåíèåì ïðÿìûìèèëèèòå- ðàöèîííûìèìåòîäàìèñïðèâëå÷åíèåììàòåìàòè÷åñêîãîàïïàðàòàâàðèà- öèîííîãîèñ÷èñëåíèÿ; –ðàçâèòûåñðåäñòâàâèçóàëèçàöèèäëÿîòîáðàæåíèÿãåîìåòðèèìîäå- ëåé, ñòðóêòóðû ìàòåðèàëà, êðàåâûõ óñëîâèé è èíòåðïðåòàöèè ðåçóëüòà- òîâ ðàñ÷åòà, â òîì ÷èñëå àíèìàöèÿ, äîñòðàèâàíèå äî ïîëíîé ìîäåëè, ïðåäñòàâëåííîéâñèëóñèììåòðèèòîëüêîåå÷àñòüþ,èïðî÷åå.  íàñòîÿùåì ïîñîáèè ïðåäñòàâëåíà òåõíîëîãèÿ ðåøåíèÿ èíæåíåð- íûõçàäà÷,âîñíîâíîìêðàåâûõçàäà÷ìåõàíèêèäåôîðìèðóåìîãîòâåðäî- ãî òåëà, ñ ïîìîùüþ ñèñòåìû îòêðûòîé àðõèòåêòóðû ANSYS. ANSYS – ìíîãîöåëåâîéêîíå÷íî-ýëåìåíòíûéïàêåòäëÿïðîâåäåíèÿàíàëèçàâøè- ðîêîì ñïåêòðå èíæåíåðíûõ äèñöèïëèí. Îí çàíèìàåò îäíî èç âåäóùèõ ìåñòñðåäèóíèâåðñàëüíûõCAE*-ñèñòåìèïðåäìåòíîîðèåíòèðîâàííûõ * ComputedAutomaticallyEngineering–èíæåíåðíàÿÑÀÏÐäëÿðàñ÷å- òàêîíñòðóêöèé. 9 (èëè ìåòîäî-îðèåíòèðîâàííûõ) ÑÀÏÐ íà îñíîâå ìåòîäà êîíå÷íûõ (ÌÊÝ) èëè ãðàíè÷íûõ (ÌÃÝ) ýëåìåíòîâ (Cosmos, Pro-Engineering, ABAQUS,NASTRANèäðóãèå). Îñíîâíûåòèïûàíàëèçàèçàäà÷è,ðåøàåìûåâñðåäåANSYS: –ñòàòè÷åñêèéèäèíàìè÷åñêèéàíàëèçïîâåäåíèÿìàòåðèàëîâèêîí- ñòðóêöèé,âòîì÷èñëåìîäàëüíûéèãàðìîíè÷åñêèéàíàëèç,àíàëèçïåðå- õîäíûõ äèíàìè÷åñêèõ ïðîöåññîâ, êîíòàêòíûå çàäà÷è, àíèçîòðîïèÿ ñâîéñòâ ìàòåðèàëà è ñëîèñòûå êîìïîçèòû, ñòàòè÷åñêàÿ óñòîé÷èâîñòü êîíñòðóêöèé, óñòàëîñòü, ïðî÷íîñòíîé àíàëèç ñ ó÷åòîì àíèçîòðîïèè ïðî÷íîñòíûõõàðàêòåðèñòèê,ðàñ÷åòïàðàìåòðîâòðåùèíîñòîéêîñòè,ìî- äåëèðîâàíèåðàçðóøåíèÿïóòåì ïîñëåäîâàòåëüíîéäåàêòèâàöèèýëåìåí- òîâ,ó÷åòãåîìåòðè÷åñêèõèôèçè÷åñêîéíåëèíåéíîñòåéèäðóãèåîñîáåí- íîñòè àíàëèçà â ðàìêàõ ìåõàíèêè äåôîðìèðóåìîãî òâåðäîãî òåëà (ÌÄÒÒ);òèïàíàëèçàâòåðìèíîëîãèèANSYS–Structural; –ñòàöèîíàðíûåèíåñòàöèîíàðíûåçàäà÷èòåïëîôèçèêè,âòîì÷èñëå òåïëîïðîâîäíîñòü, êîíâåêöèÿ, ðàäèàöèîííûé òåïëîîáìåí; òèï àíàëèçà âòåðìèíîëîãèèANSYS–Thermal; –çàäà÷èýëåêòðîìàãíåòèçìà,âòîì÷èñëåýëåêòðî-èìàãíèòîñòàòèêà, íèçêî-èâûñîêî÷àñòîòíûéàíàëèç,íåñòàöèîíàðíûåçàäà÷èèäðóãèå;òèï àíàëèçàâòåðìèíîëîãèèANSYS–Electromagnetic; –ñòàöèîíàðíûåèíåñòàöèîíàðíûåçàäà÷èìåõàíèêèæèäêîñòåéèãà- çîâ;òèïûàíàëèçàâòåðìèíîëîãèèANSYS–Fluid,Flotran; – ñìåøàííûé (ìåæäèñöèïëèíàðíûé) àíàëèç è ñâÿçàííûå çàäà÷è, âòîì÷èñëåòåðìîóïðóãîñòü,ïüåçîìåõàíèêàèäðóãèåçàäà÷è; –îïòèìèçàöèÿíàîñíîâåâñåõâûøåïðèâåäåííûõòèïîâàíàëèçà. Îñíîâíûåýòàïûðåøåíèÿçàäà÷ëþáîãîòèïààíàëèçà(áåçó÷åòàîñî- áåííîñòåé)ñëåäóþùèå: 1.Ïîñòðîåíèåãåîìåòðè÷åñêîéìîäåëè. 2.Âûáîð òèïà(òèïîâ)êîíå÷íîãîýëåìåíòà,çàäàíèåîïöèéÊÝ èâå- ùåñòâåííûõêîíñòàíò. 3.Îïèñàíèåñâîéñòâìàòåðèàëà(ñðåäû). 4.Ïðèëîæåíèåãðàíè÷íûõèíà÷àëüíûõóñëîâèéíàîáúåêòàõãåîìåò- ðè÷åñêîéìîäåëè. 5.Ãåíåðàöèÿñåòî÷íîéìîäåëè. 6.Ïðèëîæåíèåãðàíè÷íûõèíà÷àëüíûõóñëîâèéíàîáúåêòàõñåòî÷- íîéìîäåëè. 7.Âûáîðòèïààíàëèçàèçàäàíèåïàðàìåòðîâðàñ÷åòà. 10

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