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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
5 ~8 j( O2 N, @- `+ Q0 T; Z美国通力(UFC)公司
; X. v3 a& E# z( `北理工车辆与交通工程学院计算机应用与仿真中心
5 \! Y$ h. K1 f& g2001 年8 月
" q2 m, r# [, B: s h0 j
6 |+ ?. `: m7 _目 录
! \2 J" B5 i" H& f* [第1 章 非线性静力分析概述..................................................................................4: E! a" b( u d
1.1 I-DEAS 非线性分析功能简介...............................................................................4
& m5 q( G, i, H& S( J3 a1.2 非线性静力分析的加载方法.................................................................................4. s$ I+ k% F& [. \4 Z1 e( G
1.3 材料非线性分析的材料定义.................................................................................9
1 [: N$ s; `/ w; d" z1.4 非线性分析的基本步骤............................................................................................10
5 S6 Z0 l5 w) }% O- e1.5 I-DEAS 非线性静力学分析的局限性.........................................................10& e6 d: O J7 T4 X
第2 章 非线性静力学有限元列式................................................................ 11
$ h! U( l ^1 Q# m+ r+ E2.1 平衡方程................................................................................................................................... 11
. u- z9 n7 @/ T% Z2.2 迭代过程...................................................................................................................................12! N* E6 n G) j6 p/ d3 J" x, P
2.2.1 几何非线性求解点的迭代程序.................................................................13
/ L: _$ U& l. E# ?* z5 f/ x2.2.2 塑性几何非线性求解点的迭代程序....................................................13
0 h! X4 E* ]1 ]# P2 R, R5 N2.2.3 蠕变几何非线性求解点的迭代程序....................................................14
3 K- E* S" I1 _* e第3 章 定义非线性静力分析中的加载和求解控制........15
& e- a. d8 j( H( O3 r3.1 载荷历程及加载方法...................................................................................................15% K% N* y8 `& }8 g E7 F9 a
3.2 加载和求解控制(Loading and Solution Control)对话框
% b+ t* W. p5 V! B; J( b1 y.........................................................................................................................................................................16
3 w4 u9 m! {, C7 l3.3 选择非线性静态分析的收敛准则.................................................................19
, X8 `2 I! s" A5 B( B3.4 非线性静态分析中时间段的刚度控制....................................................20. X# \' p4 ^- w1 A; y: m
3.5 选择非线性静态分析的结果输出.................................................................22% ^4 e0 s; h4 c5 t) Y
3.6 非线性静态分析求解选项的选择..........................................................238 W( T( C: F; F
第4 章 塑性分析........................................................................................................................27
/ _1 k! R7 B( j9 p4.1 概述................................................................................................................................................27
! Q3 G. @6 s& g6 m, q7 a4.2 塑性模型...................................................................................................................................27
8 \# x; }* ^. x: J, [( P% k4.2.1 Mises 屈服规则..........................................................................................................28
0 n7 [ ]. n8 _' u, }6 N9 a$ }4.2.2 硬化准则.........................................................................................................................28
9 N, Z: F3 [* v: K$ W1 J4.2.3 流动法则.........................................................................................................................30
+ M. [- ^& Y6 L! b第5 章 蠕变分析........................................................................................................................32 g' P0 p; |4 P" d. X8 W
5.1 概述................................................................................................................................................323 g7 Y# O1 P, j. a- W
5.2 蠕变模型...................................................................................................................................32! ?6 F5 C) l! T- J1 B* J
5.3 蠕变方程...................................................................................................................................34+ {8 q5 W: b$ t2 y& D; s' _# q& q: u
5.3.1 蠕变数据的获得......................................................................................................34
- M6 }+ i+ s, {9 T, X: Y5.3.2 蠕变方程的选择......................................................................................................36
# P8 M e; n& O9 B1 F3 F6 N+ I9 N5.4 蠕变控制...................................................................................................................................384 @( ^$ I! z8 L1 y k
5.4.1 概述....................................................................................................................................38$ s5 V2 u+ o) q7 @4 }3 f* w" l
5.4.2 定义程序对时间步积分的方式.................................................................39
9 l% j" i' i0 H. @1 v5.4.3 指定下一时间步长的确定准则.................................................................40
1 U' u" I) P5 g3 p5.4.5 设置时间步大小的附加检查项.................................................................41
, Y% M0 A h/ Y0 s5.4.6 输入开始分析的初始时间步.......................................................................429 I* \0 l! A) C" H, V
第6 章 梁模型的非线性分析................................................................................43
( F& \- G/ R2 l" h) Q- P9 x6.1 概述................................................................................................................................................43) i4 K9 M U( @" k9 I7 ?
6.2 梁的几何非线性分析...................................................................................................43' O7 U$ ~1 L5 R* M+ S/ {# K# M9 K
6.3 梁的塑性分析.......................................................................................................................431 d9 L( f5 x% |* C, ~; W
6.3.1 线性梁和锥形梁......................................................................................................43
- o# w0 ?; I& u3 D( H: j6.3.2 二次梁...............................................................................................................................44
3 X1 ]' j( \: k. R$ `第7 章 接触分析........................................................................................................................46/ ^5 A1 Q s' g" C
7.1 概述................................................................................................................................................460 u. _/ Q M/ l. h
7.2 I-DEAS 接触算法.........................................................................................................48) l! X" N; T; L
7.2.1 运动学方程..................................................................................................................48
5 P% Q! S2 C8 Y6 |0 n5 U7.2.2 法向接触约束............................................................................................................49
, d6 R" J' V) t0 K7.2.3 库仑摩擦接触的约束.........................................................................................49( B3 k! c! o0 M% G
7.2.4 有限元运动学方程................................................................................................ 504 r; M" q2 M5 s
7.2.5 总体求解策略............................................................................................................515 m6 H+ {, t' E" A
7.2.6 接触算法要点小结................................................................................................ 52
( B' U' V5 M, A2 H. i ~& [7.3 怎样在边界条件中设置接触.........................................................................55
8 I8 R+ |# k- _( w$ j7.3.1 接触设置中的几个常用概念.......................................................................55 W+ }" }" m! d" G1 o
7.3.2 接触参数的定义......................................................................................................59. N; e! C" [1 v
7.3.3 定义表面偏置............................................................................................................60
$ U8 {: e( l+ s/ n( p3 b4 w7.3.4 创建附加接触区域................................................................................................ 61
$ l1 Y$ ^+ H' \) ^' ` l" `7.3.5 修改接触区..................................................................................................................61+ |7 l; o. w3 p
7.4 求解器中接触控制参数的设置.................................................................624 d* w) g7 i0 K) N- Z" m/ x8 q
7.5 接触分析的一些技巧和要点.........................................................................634 l' l" w0 H _8 }
参考文献...................................................................................................................................................70 |
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