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I-DEAS 非线性有限元分析技术指南
: }( s& P+ X* V& ~4 h美国通力(UFC)公司& u5 e# p! `( x, C# I9 ^
北理工车辆与交通工程学院计算机应用与仿真中心
5 W, u: ^) X1 P8 P8 D& ?; x! r2001 年8 月( g* R$ y& D8 v% ^. Z7 {% K6 Y
- K- E" k* M7 R p目 录
# E9 ]2 Z2 Z) }; x5 M" y第1 章 非线性静力分析概述..................................................................................47 o- m2 R6 L- G
1.1 I-DEAS 非线性分析功能简介...............................................................................4
0 \6 u; K% i' m5 s+ c6 {+ }1.2 非线性静力分析的加载方法.................................................................................4! a1 l" r' n8 V+ J) U1 P) K* G
1.3 材料非线性分析的材料定义.................................................................................9* F4 C5 \# l- ?/ m M
1.4 非线性分析的基本步骤............................................................................................10
; L5 a3 M1 Z; S, t4 W8 u3 o4 m1.5 I-DEAS 非线性静力学分析的局限性.........................................................10 X4 ?; t) [/ r W& k
第2 章 非线性静力学有限元列式................................................................ 11: R) q0 }0 m8 T
2.1 平衡方程................................................................................................................................... 118 c2 a3 ]5 m& z; }
2.2 迭代过程...................................................................................................................................12
8 U: f2 U6 n" ]5 L2.2.1 几何非线性求解点的迭代程序.................................................................133 Y% `. v+ e6 d1 Q- L
2.2.2 塑性几何非线性求解点的迭代程序....................................................13& `; u2 b! N2 @& }: i* K5 ?3 w
2.2.3 蠕变几何非线性求解点的迭代程序....................................................14
& |3 v1 O/ y& k- w6 f第3 章 定义非线性静力分析中的加载和求解控制........15
0 {* J; S$ ~. o4 U9 `% d: ` B$ ]3.1 载荷历程及加载方法...................................................................................................15
& W! F& q- g9 U \2 ?4 M, @3.2 加载和求解控制(Loading and Solution Control)对话框# L; ~9 L1 r- c7 e& m+ O
.........................................................................................................................................................................161 S3 ~) \2 H8 A+ W& x+ L
3.3 选择非线性静态分析的收敛准则.................................................................195 ?% c) K) A2 j# w( I4 w
3.4 非线性静态分析中时间段的刚度控制....................................................20/ \. f8 k7 ?% V! U1 r
3.5 选择非线性静态分析的结果输出.................................................................22
; W- _5 Y' ?; q1 h3.6 非线性静态分析求解选项的选择..........................................................23
' @/ P3 t i: C: Q6 v第4 章 塑性分析........................................................................................................................27
# z$ A' J8 @% Z3 {/ w$ v4.1 概述................................................................................................................................................27
$ z; W7 K Q' p3 {4.2 塑性模型...................................................................................................................................27
$ h2 n* h; Z5 Z4.2.1 Mises 屈服规则..........................................................................................................28# n* ~5 H+ q7 R& ?, j$ i% D
4.2.2 硬化准则.........................................................................................................................28; C0 X; v; b `( o7 J/ @9 S
4.2.3 流动法则.........................................................................................................................306 _) N: u/ Q" t4 s' [" w
第5 章 蠕变分析........................................................................................................................32
2 u9 m V/ n) o) O- R5.1 概述................................................................................................................................................32
4 |) H) }- a3 |( g# G3 R5.2 蠕变模型...................................................................................................................................32
3 ?- S, S* I6 D4 U. V5.3 蠕变方程...................................................................................................................................34" f+ X/ V: ^ x* V s- x1 [
5.3.1 蠕变数据的获得......................................................................................................34
" n/ Q, J+ R- G0 n: @: @5.3.2 蠕变方程的选择......................................................................................................363 q% b) g P$ [. T- x3 W% d* C. @) b
5.4 蠕变控制...................................................................................................................................38
r# w* k2 a* j8 E5.4.1 概述....................................................................................................................................38
% a+ }6 F7 X: C5.4.2 定义程序对时间步积分的方式.................................................................39# M& _* C3 ? K& `: V" ~
5.4.3 指定下一时间步长的确定准则.................................................................40
8 R( o- g" y9 Z) W, D5.4.5 设置时间步大小的附加检查项.................................................................418 B$ B( a+ G; S0 u* m& f! C
5.4.6 输入开始分析的初始时间步.......................................................................42( \$ `0 a7 M$ S* X
第6 章 梁模型的非线性分析................................................................................43
/ ]: m- a% q D* F: R6.1 概述................................................................................................................................................432 I; {- f/ n- c/ m4 B
6.2 梁的几何非线性分析...................................................................................................43; ]2 \$ c; ~8 z& A* x+ Y8 g
6.3 梁的塑性分析.......................................................................................................................43% u% i7 _- y5 w1 Z
6.3.1 线性梁和锥形梁......................................................................................................43
: W$ F: p1 }5 o* T6.3.2 二次梁...............................................................................................................................44: x+ _* B7 L6 M4 U* M& k7 w
第7 章 接触分析........................................................................................................................468 q# e8 B2 }9 G) P) Y9 Z1 G
7.1 概述................................................................................................................................................46
4 u M0 _7 B/ ^: f) l7 Q7.2 I-DEAS 接触算法.........................................................................................................48, S- w/ G$ L1 E0 S1 F
7.2.1 运动学方程..................................................................................................................48
0 Z: b& |' O' b9 z# v5 G7.2.2 法向接触约束............................................................................................................49: B4 ?. L2 ~3 {( T; C! ~- g. e0 `
7.2.3 库仑摩擦接触的约束.........................................................................................49
, p- w' P1 x" u( a5 d7.2.4 有限元运动学方程................................................................................................ 504 s1 w, n: v) m+ V! J# J4 ]
7.2.5 总体求解策略............................................................................................................51
+ \* ~+ S; F Z% L* J! U. P! f7.2.6 接触算法要点小结................................................................................................ 52
6 d5 s5 X, f' j3 Q1 s7.3 怎样在边界条件中设置接触.........................................................................55
( f* ]4 \$ D$ H1 P+ C7.3.1 接触设置中的几个常用概念.......................................................................55) A0 W: c7 I1 o& a5 a% D
7.3.2 接触参数的定义......................................................................................................59; K6 T& ?5 L6 J7 v0 {
7.3.3 定义表面偏置............................................................................................................60
4 b- o, k. _! j- q C, t! U7.3.4 创建附加接触区域................................................................................................ 61# h0 @4 q: d; J+ D7 B9 C5 N, \& z4 J" a
7.3.5 修改接触区..................................................................................................................61& D/ _' k: y# L) N
7.4 求解器中接触控制参数的设置.................................................................62
( ^( I6 g& j* o- O; [, T7.5 接触分析的一些技巧和要点.........................................................................63$ \8 a% D7 _0 B' R3 j! o9 n$ s
参考文献...................................................................................................................................................70 |
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