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发表于 2008-8-28 10:59:55
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来自： 中国江苏苏州
I-DEAS 非线性有限元分析技术指南
* [% j; R N, m) R$ \美国通力（UFC）公司+ Z2 j2 I) x! j& l3 @
北理工车辆与交通工程学院计算机应用与仿真中心
! o; o! f6 R6 }' Z- A2001 年8 月/ Z' A. o9 n) ]- {( W
8 p( q a4 Z# \) d1 z; s& {9 d目 录
% I& b* H6 z8 b2 K! U第1 章 非线性静力分析概述..................................................................................4
3 E2 O8 ~$ M2 S, L7 F3 b# ^1.1 I-DEAS 非线性分析功能简介...............................................................................4* e( I( N: f$ o
1.2 非线性静力分析的加载方法.................................................................................4
& _0 N( |( h0 @; n1.3 材料非线性分析的材料定义.................................................................................99 l, v6 _3 z* \ u) y
1.4 非线性分析的基本步骤............................................................................................10
% t1 X3 b. Z% _0 W6 U1.5 I-DEAS 非线性静力学分析的局限性.........................................................10
# v: f0 i/ M7 O% g1 _$ j0 P3 `% U, X第2 章 非线性静力学有限元列式................................................................ 11% g3 C, |, R* s( K5 Y
2.1 平衡方程................................................................................................................................... 113 o' P) V ~8 J1 {1 X; E
2.2 迭代过程...................................................................................................................................124 G) g1 E+ y! i- ~0 ^2 B( T
2.2.1 几何非线性求解点的迭代程序.................................................................13+ s- x( M( q- E/ M
2.2.2 塑性几何非线性求解点的迭代程序....................................................13" @7 t- l& H5 D( y
2.2.3 蠕变几何非线性求解点的迭代程序....................................................14
5 z) T$ M2 W5 z N! z2 ?第3 章 定义非线性静力分析中的加载和求解控制........15
/ T: ~" _8 ]+ H! w3.1 载荷历程及加载方法...................................................................................................15( U! K+ A: o0 `
3.2 加载和求解控制（Loading and Solution Control）对话框, M% l/ w6 x$ i; X
.........................................................................................................................................................................16* v* [. a6 j" t7 B$ c4 Y2 ]* D
3.3 选择非线性静态分析的收敛准则.................................................................19/ `. [/ A3 U6 U- S2 H8 l( X$ W
3.4 非线性静态分析中时间段的刚度控制....................................................20/ |# J3 {0 m8 L; B- y/ L" t
3.5 选择非线性静态分析的结果输出.................................................................22
9 P: K8 ?* Y/ b4 E: e* E$ }3 L6 G3.6 非线性静态分析求解选项的选择..........................................................23
3 v! J! Y8 P3 g3 D3 O6 x# d: P+ j第4 章 塑性分析........................................................................................................................27" ^ @' Z) s$ l
4.1 概述................................................................................................................................................27# G) H1 P4 q0 F/ I' b; f$ A
4.2 塑性模型...................................................................................................................................274 O, X4 f+ E; K1 s1 {8 k$ K* E* d
4.2.1 Mises 屈服规则..........................................................................................................28
* k$ [ W. `4 o' c2 F4.2.2 硬化准则.........................................................................................................................281 g( ] @: w; a: V
4.2.3 流动法则.........................................................................................................................30+ R4 r, D0 X7 ~% q7 d& {
第5 章 蠕变分析........................................................................................................................32/ @! A+ `2 W, M$ [; A
5.1 概述................................................................................................................................................32& d$ Q0 G8 S5 P% B* N) r y
5.2 蠕变模型...................................................................................................................................32
0 J/ g1 _( C. u1 ]& Z9 U# _5.3 蠕变方程...................................................................................................................................34
4 C6 s. O3 t. E; k5.3.1 蠕变数据的获得......................................................................................................34& m; p& b6 D7 s$ J
5.3.2 蠕变方程的选择......................................................................................................36
) q; I1 V9 @$ m) @/ c6 ?* W5.4 蠕变控制...................................................................................................................................38
: z4 T/ ?5 \7 U) s5 f5.4.1 概述....................................................................................................................................385 \8 v# J* t# m# t# K2 Z
5.4.2 定义程序对时间步积分的方式.................................................................39- q$ W3 q/ I3 D5 e. a
5.4.3 指定下一时间步长的确定准则.................................................................40
2 u1 j. j7 C- t( L5.4.5 设置时间步大小的附加检查项.................................................................416 D$ ^0 |& J2 U/ `1 N \
5.4.6 输入开始分析的初始时间步.......................................................................428 P. |5 ~( M- c) _! c$ M
第6 章 梁模型的非线性分析................................................................................43
8 A* o& v" Z- ^- \' c U6.1 概述................................................................................................................................................43
4 u$ g) e4 m b7 o6.2 梁的几何非线性分析...................................................................................................43
. p& N! ?( ]( q$ T8 k9 h2 q( r6.3 梁的塑性分析.......................................................................................................................431 ^5 _* f1 b K0 y4 O6 |4 @
6.3.1 线性梁和锥形梁......................................................................................................43% Q. p% M6 y+ h
6.3.2 二次梁...............................................................................................................................44
9 ^) ?1 F9 O+ \' L$ L( V6 d第7 章 接触分析........................................................................................................................466 m2 X! K" m1 y: p, N; `
7.1 概述................................................................................................................................................46* d8 I9 O+ J' Z7 e* c! c
7.2 I-DEAS 接触算法.........................................................................................................48( I# C. R5 ^# ^8 j5 m
7.2.1 运动学方程..................................................................................................................48& a9 i0 M5 O1 m, `0 D. ]
7.2.2 法向接触约束............................................................................................................49
- [! G2 o( X6 d' g& z6 Z. z7.2.3 库仑摩擦接触的约束.........................................................................................49
; Z) L3 H6 ~, V& }7.2.4 有限元运动学方程................................................................................................ 50
+ ~& G; x1 R" I( w0 F# ~7.2.5 总体求解策略............................................................................................................511 W8 |" [% k. v" n* ?& |! t4 P! c
7.2.6 接触算法要点小结................................................................................................ 52
$ t1 k9 i8 Z" o! K7.3 怎样在边界条件中设置接触.........................................................................55
6 v9 D$ }' Y2 z% |, @8 e4 |7.3.1 接触设置中的几个常用概念.......................................................................55
, U: s/ D6 m3 e5 m5 v4 N7.3.2 接触参数的定义......................................................................................................59
5 N& b$ a. Q+ c, P6 y7 b v/ T \2 {7.3.3 定义表面偏置............................................................................................................602 O9 ^7 D% U# j3 }! T0 c8 w P
7.3.4 创建附加接触区域................................................................................................ 61/ G2 g; P. C, p" C, q
7.3.5 修改接触区..................................................................................................................61
1 ^$ l5 ~7 Y# k. B5 J9 E3 I5 Y7.4 求解器中接触控制参数的设置.................................................................62
% |: M5 `" C+ H7.5 接触分析的一些技巧和要点.........................................................................631 `0 B& {4 _: e3 |0 l" F
参考文献...................................................................................................................................................70 |
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