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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8 O; n( G3 k) w+ J
美国通力(UFC)公司; [3 G9 T% A! r6 q) b
北理工车辆与交通工程学院计算机应用与仿真中心; a3 P! |" b2 ~
2001 年8 月
9 g4 \6 a- s, x* r& M
* u$ r' R6 Y+ f0 y( [- [目 录
6 @) _. C7 A) l! t P: Y第1 章 非线性静力分析概述..................................................................................4
8 l* l5 Q. o) b" p! c8 r4 n3 \1.1 I-DEAS 非线性分析功能简介...............................................................................4# D% w, l( V/ l9 M
1.2 非线性静力分析的加载方法.................................................................................4
- a7 c8 Q0 A5 v: G1.3 材料非线性分析的材料定义.................................................................................9' I0 @# Q* ~, t; B+ v. k0 ?" x+ Q
1.4 非线性分析的基本步骤............................................................................................104 `1 l" k' P+ o+ f+ M# [: n
1.5 I-DEAS 非线性静力学分析的局限性.........................................................10
8 [: R: U' y9 x4 ]- B, ?% d _/ b第2 章 非线性静力学有限元列式................................................................ 11' t& H3 E4 d3 l& a0 w$ W5 u7 R
2.1 平衡方程................................................................................................................................... 119 f i9 u) Q) }$ n% Y: }6 J
2.2 迭代过程...................................................................................................................................123 g' S( Z9 l) |1 n6 L& }# o$ j
2.2.1 几何非线性求解点的迭代程序.................................................................13
9 p. y, Q, H! ? ?( O2 @$ I1 s. B% h2.2.2 塑性几何非线性求解点的迭代程序....................................................13
* @- l7 A! _" p9 ]6 t2.2.3 蠕变几何非线性求解点的迭代程序....................................................14
0 Y: G1 N& q7 r9 z第3 章 定义非线性静力分析中的加载和求解控制........15
, @( t, N( d) ^/ U3.1 载荷历程及加载方法...................................................................................................15
! ~. L) N1 |3 Q. O; _/ J& X3.2 加载和求解控制(Loading and Solution Control)对话框
1 M: V$ m( F! m( k( t- l6 `.........................................................................................................................................................................16# I8 x( v' M8 ? D
3.3 选择非线性静态分析的收敛准则.................................................................19
/ W% Y0 Y9 A& c% i4 O3.4 非线性静态分析中时间段的刚度控制....................................................20
2 E+ p, |+ r5 [4 I1 }" o/ F3.5 选择非线性静态分析的结果输出.................................................................225 l: a v7 a3 I! y$ H
3.6 非线性静态分析求解选项的选择..........................................................23. S9 D- |4 g3 v+ @
第4 章 塑性分析........................................................................................................................27( [- m) K" k5 u; d2 m) q8 N
4.1 概述................................................................................................................................................27
1 ~+ V4 E1 g! a" r4.2 塑性模型...................................................................................................................................276 F& J" }0 ~" B" a
4.2.1 Mises 屈服规则..........................................................................................................285 J+ H F, f# F" C
4.2.2 硬化准则.........................................................................................................................28: A0 e2 w$ A1 D9 m5 L9 A
4.2.3 流动法则.........................................................................................................................30
& E6 l* a5 Q: ~" A; l* f第5 章 蠕变分析........................................................................................................................32
7 D. b9 A) @: E7 Z% F5.1 概述................................................................................................................................................325 Y" {4 {0 c8 h. F& s
5.2 蠕变模型...................................................................................................................................32
) \7 h9 b& ?) L) V, I& {1 x! z; _5.3 蠕变方程...................................................................................................................................342 V+ Z' T3 F/ T3 }0 y
5.3.1 蠕变数据的获得......................................................................................................34
& W5 T+ ^" k5 x! h# k- ~3 j) F5.3.2 蠕变方程的选择......................................................................................................36
' T' y' F$ Z! _& y6 E# N1 s5.4 蠕变控制...................................................................................................................................38
6 F1 X" l5 t0 b1 n+ _5.4.1 概述....................................................................................................................................387 E u4 ]1 k5 N2 p3 O
5.4.2 定义程序对时间步积分的方式.................................................................39- _+ v+ T" ^/ [# ?0 m6 H
5.4.3 指定下一时间步长的确定准则.................................................................40
. D# z$ b+ G7 P5.4.5 设置时间步大小的附加检查项.................................................................41+ j: k! B2 o3 S" f
5.4.6 输入开始分析的初始时间步.......................................................................42
" @. l4 i4 q! t; S8 m第6 章 梁模型的非线性分析................................................................................431 _! c0 P2 I& z- [: m
6.1 概述................................................................................................................................................43
& _! }. m. y( O$ @ m6.2 梁的几何非线性分析...................................................................................................43# m9 i; e$ a q# e/ [* ?
6.3 梁的塑性分析.......................................................................................................................436 f7 h; P4 f/ ^
6.3.1 线性梁和锥形梁......................................................................................................43
. v, r; |8 R4 H" h6.3.2 二次梁...............................................................................................................................44
2 C$ m9 ~. j3 a m. b第7 章 接触分析........................................................................................................................466 n! s# |1 I/ e+ h7 f
7.1 概述................................................................................................................................................46
; G& u- C% Y2 U3 B5 Z$ O" T7.2 I-DEAS 接触算法.........................................................................................................48
& O9 ?+ K6 g8 `& {! N3 N! W7.2.1 运动学方程..................................................................................................................48
: r: H' L/ G( @' S$ Q9 i7.2.2 法向接触约束............................................................................................................49
5 R! r/ \% k" @+ m7.2.3 库仑摩擦接触的约束.........................................................................................49
) r( M$ s$ |: t6 O7 r4 `* r3 m7.2.4 有限元运动学方程................................................................................................ 50
& }3 w1 F: T( b+ X2 U; t. T7.2.5 总体求解策略............................................................................................................51
* P$ c8 ]0 g4 D; l: ^# N: C" w: {7.2.6 接触算法要点小结................................................................................................ 52
: `- D% l V6 V( e$ m+ b! M" @7.3 怎样在边界条件中设置接触.........................................................................558 m$ c0 |! |0 c7 B1 y
7.3.1 接触设置中的几个常用概念.......................................................................55: r& h" Y; R) p& [
7.3.2 接触参数的定义......................................................................................................59
1 }" V9 [4 r- |+ Q3 h3 q0 u) C8 H7.3.3 定义表面偏置............................................................................................................605 O9 A) E; p U2 j6 I' i
7.3.4 创建附加接触区域................................................................................................ 618 f2 R: [/ \; O9 f) z0 N
7.3.5 修改接触区..................................................................................................................61
, ~0 |( u K+ y" B4 R7.4 求解器中接触控制参数的设置.................................................................62
; T3 p+ \2 P4 }1 b% n7.5 接触分析的一些技巧和要点.........................................................................63
8 b+ l1 x" n" a4 n$ N: _9 R参考文献...................................................................................................................................................70 |
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