Table Of ContentÔåäåðàëüíîåàãåíòñòâîïîîáðàçîâàíèþ
Ãîñóäàðñòâåííîåîáðàçîâàòåëüíîåó÷ðåæäåíèå
âûñøåãîïðîôåññèîíàëüíîãîîáðàçîâàíèÿ
«Ïåðìñêèéãîñóäàðñòâåííûéòåõíè÷åñêèéóíèâåðñèòåò»
À.Ã.Êîòîâ
ÑÀÏÐ ÈÇÄÅËÈÉ
ÈÇ ÊÎÌÏÎÇÈÖÈÎÍÍÛÕ ÌÀÒÅÐÈÀËÎÂ.
ÌÎÄÅËÈÐÎÂÀÍÈÅ ÏÐÎÖÅÑÑÎÂ
ÄÅÔÎÐÌÈÐÎÂÀÍÈß È ÐÀÇÐÓØÅÍÈß
 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.
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(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.
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