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学习笔记之非线性行为模拟(二)

  • 2026-02-04 08:42:56
学习笔记之非线性行为模拟(二)
杆系单元的非线性行为可采用塑性铰和纤维铰模拟。
1、塑性铰：建立力与变形的关系，在构件截面层面描述非线性行为。由骨架曲线、滞回曲线和可接受准则三部分组成。
1.1 骨架曲线描述构件的屈服承载力（B点）、极限承载力（C点）、基本丧失水平承载力但具有一定的竖向承载力（D点）、完全丧失承载力（E点）、延性（a值）、承载力下降段（CD段）、最大塑性变形能力（b值）、残余承载力（c值）等，如下图所示。
ASCE 7-17 Figure 9-2. Generalized Force–Deformation Relation for Steel Elements or Components
1.2 滞回曲线代表构件的耗能能力，曲线越饱满耗能越强。
SAP2000/ETABS内置8种滞回类型：混凝土可采用Takeda模型和Pivot模型，钢材可采用Kinematic模型和Degrading模型。
1.3 可接受准则用于评价结构的性能水准。ASCE 7-17定义了三个水准：IO/LS/CP，如下图所示。
ASCE 7-17 Figure 7-7. Acceptance Criteria Illustration
1.4 塑性铰可分为延性铰（变形控制）和脆性铰（力控制）。
延性铰达到屈服后仍能在维持一定承载力的条件下具有较大的变形能力（如梁弯曲铰M3铰、柱弯曲铰P-M2-M3铰）；脆性铰达到屈服后迅速丧失承载力（如梁柱剪切铰V铰）。
ASCE 7-17 Figure 7-4. Component Force Versus Deformation Curves
（a）Ductile Behavior
（b）Rapid Strength Loss Behavior
ASCE 7-17 Figure 7-5. Illustration of Envelopes from Experimental Test Date
2、纤维铰：将杆系截面离散为有限纤维，假定单根纤维处于单轴应力状态，在平截面假定的基础上依据材料本构曲线描述非线性行为。由应力-应变曲线、滞回曲线和可接受准则三部分组成。
2.1 应力-应变曲线可采用参数化定义和自定义。
C30混凝土应力-应变曲线
2.2 滞回曲线类型同塑性铰。
2.3 可接受准则通过对应材料受拉、受压应变判断。
2.4 SAP2000/ETABS中的纤维铰是采用刚度法以集中铰的形式施加于构件，一般在框架两端设置塑性区，中间区域为弹性区。纤维铰具有一定长度，程序默认将纤维铰长度的中点截面作为特征截面。对于框架结构的梁柱，常简化其纤维铰长度取为构件长度的0.1倍，并将纤维铰布置于杆件相对距离为0.05和0.95的位置。
PS：纤维铰长度的取值应慎重，其值不但对分析结果有影响，而且对可接受准则的影响更大。
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  136. /yingpanguazai/ssd/ssd1/www/no.67808.cn/vendor/topthink/think-template/src/Template.php ( 46.61 KB )
  137. /yingpanguazai/ssd/ssd1/www/no.67808.cn/vendor/topthink/think-template/src/template/driver/File.php ( 2.41 KB )
  138. /yingpanguazai/ssd/ssd1/www/no.67808.cn/vendor/topthink/think-template/src/template/contract/DriverInterface.php ( 0.86 KB )
  139. /yingpanguazai/ssd/ssd1/www/no.67808.cn/runtime/temp/6df755f970a38e704c5414acbc6e8bcd.php ( 12.06 KB )
  140. /yingpanguazai/ssd/ssd1/www/no.67808.cn/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000536s ] mysql:host=127.0.0.1;port=3306;dbname=no_67808;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000801s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000350s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000319s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000644s ]
  6. SELECT * FROM `set` [ RunTime:0.000242s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000589s ]
  8. SELECT * FROM `article` WHERE `id` = 465379 LIMIT 1 [ RunTime:0.000440s ]
  9. UPDATE `article` SET `lasttime` = 1770181505 WHERE `id` = 465379 [ RunTime:0.000882s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000263s ]
  11. SELECT * FROM `article` WHERE `id` < 465379 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000460s ]
  12. SELECT * FROM `article` WHERE `id` > 465379 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000701s ]
  13. SELECT * FROM `article` WHERE `id` < 465379 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.001992s ]
  14. SELECT * FROM `article` WHERE `id` < 465379 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000988s ]
  15. SELECT * FROM `article` WHERE `id` < 465379 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000918s ]
0.096713s