计算线性化应力

将贯穿厚度的弹性应力场分解为等效的薄膜应力、弯曲应力和峰值应力,以便与适当的允许极限进行比较。线性化应力可用于结构线性分析、结构几何体非线性分析和接触非线性分析的评估。

  1. 项目树中,打开分析工作台
  2. 点击 Pick info
  3. 在对话框中,选择 Linearized stress 选项卡。
  4. 可选: 输入膜应力、膜+弯曲应力和峰值应力的失效准则,以查看创建的段的通过/失败状态。默认值是使用材料的屈服应力计算的。

    膜应力 = 屈服应力的 2/3

    膜 + 弯曲应力 = 屈服应力

    峰值应力 = 2 倍屈服应力

    当模型中存在多种材料时,将使用屈服应力最高的材料来计算默认允许量。

  5. 在“应力线性化段”下,使用以下任意一种方式定义线段:
    选项步骤
    垂直于表面 激活 Normal to surface 单选按钮。

    SimSolid 会发射一条垂直于曲面并穿过零件的光线。

    自定义
    1. 激活 Custom 单选按钮。
    2. 模型视窗中,拾取零件上的入口点和出口点。

      在对话框中填充入口点和出口点坐标。

    垂直于基准点
    1. 激活 Normal to datum points 单选按钮。
    2. 在下拉菜单中,选择一个点集。
    线性化的局部应力是动态计算的,并发布在对话框中,用于定义的每个线段。默认情况下,不变量显示在表格中。
  6. 选中 Show linearized stress tensor components 复选框可查看应力张量分量和不变量。
    提示: 直线状态会根据失效准则显示通过或失败。失效准则仅根据不变量进行评估。
  7. 可选: 将线性化应力信息保存为 CSV 文件。
    1. 点击 Save to CSV
    2. 在对话框中,输入文件名,然后选择保存位置。
    3. 点击 Save

计算方法

SimSolid 线性化应力的计算方法。

线性化应力能够将贯穿厚度的弹性应力场分解为等效的薄膜应力、弯曲应力和峰值应力,以便与适当的允许极限进行比较。

线性化应力的计算方法如下:
  1. 应力是通过在局部坐标系中沿直线的所有点上的插值来提取的。局部坐标系以应力线性化段的起始点和结束点为基础。
    系统的 X 轴沿着从入口点到出口点的段。其他两个轴的计算方法如下:
    • 如果局部 x 轴不平行于全局 y 轴:

      Zlocal = Xlocal x Yglobal

      Ylocal = Zlocal x Xlocal

    • 如果局部 x 轴平行于全局 y 轴:

      如果局部 x 沿着正的全局-y,则局部 y 轴 (Ylocal) 是负的全局-x,反之亦然。

      Zlocal = Xlocal x Ylocal

  2. 根据上述提取的应力值,采用数值积分的方法计算出入口点和出口点的平均膜应力张量 + 弯曲应力张量。

    σ i m = 1 L L / 2 L / 2 σ i d x MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aa0 baaSqaaiaadMgaaeaacaWGTbaaaOGaaGPaVlabg2da9iaaykW7daWc aaqaaiaaigdaaeaacaWGmbaaamaapedabaGaeq4Wdm3aaSbaaSqaai aadMgaaeqaaOGaamizaiaadIhaaSqaamaalyaabaGaeyOeI0Iaamit aaqaaiaaikdaaaaabaWaaSGbaeaacaWGmbaabaGaaGOmaaaaa0Gaey 4kIipaaaa@4AAE@

    σ i S b = 6 L 2 L 2 L 2 σ i x d x MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aa0 baaSqaaiaadMgacaWGtbaabaGaamOyaaaakiaaykW7cqGH9aqpcaaM c8UaeyOeI0YaaSaaaeaacaaI2aaabaGaamitamaaCaaaleqabaGaaG OmaaaaaaGcdaWdXaqaaiabeo8aZnaaBaaaleaacaWGPbaabeaakiaa dIhacaWGKbGaamiEaaWcbaGaeyOeI0YaaSaaaeaacaWGmbaabaGaaG OmaaaaaeaadaWcaaqaaiaadYeaaeaacaaIYaaaaaqdcqGHRiI8aaaa @4E51@

    σ i E b = σ i S b MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aa0 baaSqaaiaadMgacaWGfbaabaGaamOyaaaakiaaykW7cqGH9aqpcaaM c8UaeyOeI0Iaeq4Wdm3aa0baaSqaaiaadMgacaWGtbaabaGaamOyaa aaaaa@4432@

    σ i m MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aa0 baaSqaaiaadMgaaeaacaWGTbaaaaaa@39C3@ = 膜应力的第 i 个分量

    σ i MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aaS baaSqaaiaadMgaaeqaaaaa@38D0@ = 提取应力值的第 i 个分量

    σ i S b MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aa0 baaSqaaiaadMgacaWGtbaabaGaamOyaaaaaaa@3A90@ = 入口弯曲应力的第 i 个分量

    σ i E b MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aa0 baaSqaaiaadMgacaWGfbaabaGaamOyaaaaaaa@3A82@ = 出口弯曲应力的第 i 个分量

    L = 应力线性化段的长度

    X = 某一点沿段的位置

  3. 还计算了入口和出口处的峰值应力、膜应力和弯曲应力。

    σ i S p = σ i S σ i m + σ i S b MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aa0 baaSqaaiaadMgacaWGtbaabaGaamiCaaaakiaaykW7cqGH9aqpcaaM c8Uaeq4Wdm3aaSbaaSqaaiaadMgacaWGtbaabeaakiaaykW7cqGHsi slcaaMc8+aaeWaaeaacqaHdpWCdaqhaaWcbaGaamyAaaqaaiaad2ga aaGccaaMc8Uaey4kaSIaaGPaVlabeo8aZnaaDaaaleaacaWGPbGaam 4uaaqaaiaadkgaaaaakiaawIcacaGLPaaaaaa@5488@

    σ i E p = σ i E σ i m + σ i E b MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aa0 baaSqaaiaadMgacaWGfbaabaGaamiCaaaakiaaykW7cqGH9aqpcaaM c8Uaeq4Wdm3aaSbaaSqaaiaadMgacaWGfbaabeaakiaaykW7cqGHsi slcaaMc8+aaeWaaeaacqaHdpWCdaqhaaWcbaGaamyAaaqaaiaad2ga aaGccaaMc8Uaey4kaSIaaGPaVlabeo8aZnaaDaaaleaacaWGPbGaam yraaqaaiaadkgaaaaakiaawIcacaGLPaaaaaa@545E@

    σ i S p MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aa0 baaSqaaiaadMgacaWGtbaabaGaamiCaaaaaaa@3A9E@ = 入口峰值应力的第 i 个分量

    σ i E p MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aa0 baaSqaaiaadMgacaWGfbaabaGaamiCaaaaaaa@3A90@ = 出口峰值应力的第 i 个分量

  4. 最后,计算了膜应力、膜 + 弯曲应力和峰值应力的不变量。