天涯晴天 发表于 2025-6-19 16:46:53

求助有限元理论

曾攀老师的有限元理论bili站上有,能看的明白些,但是他的书,我是看不明白
另外,如何将有限元理论的“道”与软件操作的“术”有机结合起来?
能对其分析结果,用有限元理论去解释的通?谢谢!

564156415gdr 发表于 2025-6-19 18:07:19

应用看看张晔的就可以了然后在回头看曾攀

天涯晴天 发表于 2025-6-19 19:23:47

564156415gdr 发表于 2025-6-19 18:07
应用看看张晔的就可以了然后在回头看曾攀

OK

FENGJINYI 发表于 2025-6-19 19:33:04

数学基础:偏微分方程、变分原理、加权残值法
力学原理:平衡方程、本构关系、边界条件
离散化方法:单元类型(如梁/壳/实体)、插值函数、收敛性
前处理:几何建模、网格划分、材料赋值
求解器:线性/非线性、静力/动力算法选择
后处理:云图解读、数据提取、结果验证
关键矛盾:软件操作易学,但若缺乏理论支撑,可能导致“盲目仿真”——结果看似合理却无法解释,甚至完全错误。
结合“道”与“术”的实践步骤:
建模前:理论先行
明确物理问题
将工程问题转化为力学模型(如梁弯曲→欧拉-伯努利梁理论)。
判断是否需要非线性(几何/材料/接触)、是否需要动态分析。
选择理论框架
例如:分析复合材料层合板时,需明确使用经典层合理论(CLT)还是高阶剪切变形理论(HSDT)。
建模中:用理论指导软件操作
网格划分的合理性
理论依据:单元类型与插值函数的匹配性(如实体单元用二次插值可更好捕捉应力梯度)。
操作验证:通过网格敏感性分析(Mesh Convergence Study)确认结果是否收敛。
边界条件的物理意义
例如:固定约束(Fixed Support)在理论上对应位移边界条件 \( u=0 \),需确保其与实际工况一致。
错误案例:悬臂梁若约束不完全(如漏掉旋转自由度),会导致刚度计算错误。
求解中:监控算法选择
线性vs非线性求解器
理论依据:非线性问题(如接触、大变形)需采用Newton-Raphson迭代法。
软件操作:在ABAQUS中需打开“NLgeom”选项以考虑几何非线性。
收敛性问题诊断
若求解不收敛,需从理论角度检查:是否材料软化导致病态矩阵?是否接触条件冲突?
后处理:用理论验证结果
结果合理性判断
应力集中:是否符合圣维南原理(局部高应力是否衰减)?
变形模式:是否与理论预测一致(如简支梁挠曲线形状)?
定量对比解析解或实验数据
能量守恒验证
动态分析中,总能量(动能+内能+耗散)应保持平衡(误差<1%)。
典型案例:理论与软件的结合
案例1:薄板弯曲分析
理论要求
薄板应采用Kirchhoff板理论(忽略横向剪切),若厚度较大需改用Mindlin板理论。
软件操作
在ANSYS中选择SHELL181单元(支持剪切变形),并通过调整积分点数量匹配理论假设。

案例2:橡胶压缩仿真
理论要求:
超弹性材料需用Mooney-Rivlin或Ogden模型描述不可压缩性。
软件操作:
在ABAQUS中选择Hyperelastic材料模型,并启用杂交元(Hybrid Element)避免体积自锁。
能力提升路径
理论学习推荐
必读教材:《有限元方法》(Hughes)、《非线性有限元》(Belytschko)。
数学基础:矩阵分析、张量计算、数值分析。
软件实操训练
从简单问题入手(如梁/板静力分析),逐步过渡到复杂非线性问题。
利用软件帮助文档(如ABAQUS Theory Manual)理解算法细节。
交叉验证习惯
对关键问题,尝试用不同软件(如ANSYS/COMSOL)或解析解验证结果。


学者11 发表于 2025-6-19 20:22:00

有限元就是有限单元计算法,其思想来源于微积分。你把弹性力学,高等数学都读了一遍之后就立马就明白了。在没有计算机出现之前,都可以手工拉网格计算的,是不是拉的网格比较粗糙。但是计算机的计算方法跟你们手工拉网格一样,只不过是计算机的CPU的计算能力强而已。

书生和和尚 发表于 2025-6-19 22:49:45

先明确下用什么软件,再找教程案例实操
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

天涯晴天 发表于 2025-6-20 09:18:20

FENGJINYI 发表于 2025-6-19 19:33
数学基础:偏微分方程、变分原理、加权残值法
力学原理:平衡方程、本构关系、边界条件
离散化方法: ...

OK

君越168 发表于 2025-6-20 09:40:34

就《弹性力学》一本书看完的,论坛里就没有几个人,本人10年看了三遍,还是不能(有限元理论的“道”与软件操作的“术”有机结合起来),你还是老老实实(软件操作的“术”),搞搞PPT吧,反正你计算结果是不是符合实际工况的,你也不知道的:victory:

天涯晴天 发表于 2025-6-20 10:01:57

君越168 发表于 2025-6-20 09:40
就《弹性力学》一本书看完的,论坛里就没有几个人,本人10年看了三遍,还是不能(有限元理论的“道”与软件 ...

这就需要将仿真与试验结合起来看了

天涯晴天 发表于 2025-6-20 13:34:56

FENGJINYI 发表于 2025-6-19 19:33
数学基础:偏微分方程、变分原理、加权残值法
力学原理:平衡方程、本构关系、边界条件
离散化方法: ...

这得学多长时间?!这些资料上哪去找?
页: [1]
查看完整版本: 求助有限元理论