点焊疲劳分析

可研究结构中点焊的疲劳性能。

目前,仅支持基于应力-寿命 (SN) 的点焊疲劳分析。点焊位置由三个属性定义:薄片 1、薄片 2 和焊点熔核。
1. 点焊疲劳


执行

点焊的疲劳分析包括在三个不同的位置检查焊缝,薄片和焊点熔核,这是基于 Rupp 等人发表的一篇论文。确定焊点熔核位置处的截面力和力矩,然后计算薄片和焊点熔核的相应应力。然后再使用这些应力并结合雨流计数和 SN 方法来计算疲劳损伤。

以下各部分说明了如何计算这三个位置的应力和随后的损伤。

薄片位置(1 或 2)

2. 薄片位置上的力和目标力矩


通过考虑焊点熔核处的力和力矩来计算薄片的径向应力。径向应力 σ ( θ ) 作为载荷-时间历史中每个点的 θ 的函数计算如下:

σ(θ)= σ max ( f y )cosθ σ max ( f z )sinθ+σ( f x )+ σ max ( m y )sinθ σ max ( m z )cosθ MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4WdmNaai ikaiabeI7aXjaacMcacqGH9aqpcqGHsislcqaHdpWCdaWgaaWcbaGa ciyBaiaacggacaGG4baabeaakiaacIcacaWGMbWaaSbaaSqaaiaadM haaeqaaOGaaiykaiGacogacaGGVbGaai4CaiabeI7aXjabgkHiTiab eo8aZnaaBaaaleaaciGGTbGaaiyyaiaacIhaaeqaaOGaaiikaiaadA gadaWgaaWcbaGaamOEaaqabaGccaGGPaGaci4CaiaacMgacaGGUbGa eqiUdeNaey4kaSIaeq4WdmNaaiikaiaadAgadaWgaaWcbaGaamiEaa qabaGccaGGPaGaey4kaSIaeq4Wdm3aaSbaaSqaaiGac2gacaGGHbGa aiiEaaqabaGccaGGOaGaamyBamaaBaaaleaacaWG5baabeaakiaacM caciGGZbGaaiyAaiaac6gacqaH4oqCcqGHsislcqaHdpWCdaWgaaWc baGaciyBaiaacggacaGG4baabeaakiaacIcacaWGTbWaaSbaaSqaai aadQhaaeqaaOGaaiykaiGacogacaGGVbGaai4CaiabeI7aXbaa@78E3@

其中,
σ max ( f y ) = f y π D T × C f y z × D d e f y z × T t e f y z MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aaS baaSqaaiGac2gacaGGHbGaaiiEaaqabaGccaGGOaGaamOzamaaBaaa leaacaWG5baabeaakiaacMcacqGH9aqpdaWcaaqaaiaadAgadaWgaa WcbaGaamyEaaqabaaakeaacqaHapaCcaWGebGaamivaaaacaaMc8Ua ey41aqRaaGPaVlaadoeadaWgaaWcbaGaamOzaiaadMhacaWG6baabe aakiaaykW7cqGHxdaTcaaMc8UaamiramaaCaaaleqabaGaamizaiaa dwgacaWGMbGaamyEaiaadQhaaaGccaaMc8Uaey41aqRaaGPaVlaads fadaahaaWcbeqaaiaadshacaWGLbGaamOzaiaadMhacaWG6baaaaaa @63C6@
σ max ( f z ) = f z π D T × C f y z × D d e f y z × T t e f y z MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aaS baaSqaaiGac2gacaGGHbGaaiiEaaqabaGccaGGOaGaamOzamaaBaaa leaacaWG6baabeaakiaacMcacqGH9aqpdaWcaaqaaiaadAgadaWgaa WcbaGaamOEaaqabaaakeaacqaHapaCcaWGebGaamivaaaacaaMc8Ua ey41aqRaaGPaVlaadoeadaWgaaWcbaGaamOzaiaadMhacaWG6baabe aakiaaykW7cqGHxdaTcaaMc8UaamiramaaCaaaleqabaGaamizaiaa dwgacaWGMbGaamyEaiaadQhaaaGccaaMc8Uaey41aqRaaGPaVlaads fadaahaaWcbeqaaiaadshacaWGLbGaamOzaiaadMhacaWG6baaaaaa @63C8@
σ ( f x ) = 1.744 f x T 2 × C f x × D d e f x × T t e f x f x > 0.0 时 MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4WdmNaai ikaiaadAgadaWgaaWcbaGaamiEaaqabaGccaGGPaGaeyypa0ZaaeWa aeaadaWcaaqaaiaaigdacaGGUaGaaG4naiaaisdacaaI0aGaamOzam aaBaaaleaacaWG4baabeaaaOqaaiaadsfadaahaaWcbeqaaiaaikda aaaaaaGccaGLOaGaayzkaaGaaGPaVlabgEna0kaaykW7caWGdbWaaS baaSqaaiaadAgacaWG4baabeaakiaaykW7cqGHxdaTcaaMc8Uaamir amaaCaaaleqabaGaamizaiaadwgacaWGMbGaamiEaaaakiaaykW7cq GHxdaTcaaMc8UaamivamaaCaaaleqabaGaamiDaiaadwgacaWGMbGa amiEaaaakiaaywW7caqGMbGaae4BaiaabkhacaaMf8UaamOzamaaBa aaleaacaWG4baabeaakiaaysW7cqGH+aGpcaaMe8UaaGimaiaac6ca caaIWaaaaa@6FB5@
f x   =   0.0 f x 0.0 时 MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaeWaaeaaqa aaaaaaaaWdbiaadAgadaWgaaWcbaGaamiEaaqabaaak8aacaGLOaGa ayzkaaWdbiaabccacqGH9aqpcaqGGaGaaGimaiaac6cacaaIWaGaaG zbVlaabAgacaqGVbGaaeOCaiaaywW7caWGMbWaaSbaaSqaaiaadIha aeqaaOGaaGjbVlabgwMiZkaaysW7caaIWaGaaiOlaiaaicdaaaa@4D5B@
σ max ( m y ) = 1.872 m y D T 2 × C m y z × D d e m y z × T t e m y z MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aaS baaSqaaiGac2gacaGGHbGaaiiEaaqabaGccaGGOaGaamyBamaaBaaa leaacaWG5baabeaakiaacMcacqGH9aqpdaqadaqaamaalaaabaGaaG ymaiaac6cacaaI4aGaaG4naiaaikdacaWGTbWaaSbaaSqaaiaadMha aeqaaaGcbaGaamiraiaadsfadaahaaWcbeqaaiaaikdaaaaaaaGcca GLOaGaayzkaaGaaGPaVlabgEna0kaaykW7caWGdbWaaSbaaSqaaiaa d2gacaWG5bGaamOEaaqabaGccaaMc8Uaey41aqRaaGPaVlaadseada ahaaWcbeqaaiaadsgacaWGLbGaamyBaiaadMhacaWG6baaaOGaaGPa VlabgEna0kaaykW7caWGubWaaWbaaSqabeaacaWG0bGaamyzaiaad2 gacaWG5bGaamOEaaaaaaa@6854@
σ max ( m z ) = 1.872 m z D T 2 × C m y z × D d e m y z × T t e m y z MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aaS baaSqaaiGac2gacaGGHbGaaiiEaaqabaGccaGGOaGaamyBamaaBaaa leaacaWG6baabeaakiaacMcacqGH9aqpdaqadaqaamaalaaabaGaaG ymaiaac6cacaaI4aGaaG4naiaaikdacaWGTbWaaSbaaSqaaiaadQha aeqaaaGcbaGaamiraiaadsfadaahaaWcbeqaaiaaikdaaaaaaaGcca GLOaGaayzkaaGaaGPaVlabgEna0kaaykW7caWGdbWaaSbaaSqaaiaa d2gacaWG5bGaamOEaaqabaGccaaMc8Uaey41aqRaaGPaVlaadseada ahaaWcbeqaaiaadsgacaWGLbGaamyBaiaadMhacaWG6baaaOGaaGPa VlabgEna0kaaykW7caWGubWaaWbaaSqabeaacaWG0bGaamyzaiaad2 gacaWG5bGaamOEaaaaaaa@6856@
D
焊缝单元的直径
T
损伤计算时考虑的薄片厚度
C f y z MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4qamaaBa aaleaacaWGMbGaamyEaiaadQhaaeqaaaaa@39D0@ , C m y z MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4qamaaBa aaleaacaWGTbGaamyEaiaadQhaaeqaaaaa@39D7@ , C f x MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4qamaaBa aaleaacaWGMbGaamiEaaqabaaaaa@38D0@
比例因子
d e f y z MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaWcbaGaamizaiaadw gacaWGMbGaamyEaiaadQhaaaa@3AB0@ , d e m y z MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaWcbaGaamizaiaadw gacaWGTbGaamyEaiaadQhaaaa@3AB7@ , d e f x MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaWcbaGaamizaiaadw gacaWGMbGaamiEaaaa@39B0@
直径指数
t e f y z MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaWcbaGaamiDaiaadw gacaWGMbGaamyEaiaadQhaaaa@3AC0@ , t e m y z MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaWcbaGaamiDaiaadw gacaWGTbGaamyEaiaadQhaaaa@3AC7@ , t e f x MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaWcbaGaamiDaiaadw gacaWGMbGaamiEaaaa@39C0@
厚度指数

等效于 Rupp 方法:

C f y z = 1 , d e f y z = 0 , t e f y z = 0 MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4qamaaBa aaleaacaWGMbGaamyEaiaadQhaaeqaaOGaaGPaVlabg2da9iaaykW7 caaIXaGaaiilaiaaykW7caaMf8UaamizaiaadwgacaWGMbGaamyEai aadQhacaaMc8Uaeyypa0JaaGPaVlaaicdacaGGSaGaaGzbVlaadsha caWGLbGaamOzaiaadMhacaWG6bGaaGPaVlabg2da9iaaykW7caaIWa aaaa@57E9@
C m y z = 0.6 , d e m y z = 0 , t e m y z = 0.5 MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4qamaaBa aaleaacaWGTbGaamyEaiaadQhaaeqaaOGaaGPaVlabg2da9iaaykW7 caaIWaGaaiOlaiaaiAdacaGGSaGaaGPaVlaaywW7caWGKbGaamyzai aad2gacaWG5bGaamOEaiaaykW7cqGH9aqpcaaMc8UaaGimaiaacYca caaMf8UaamiDaiaadwgacaWGTbGaamyEaiaadQhacaaMc8Uaeyypa0 JaaGPaVlaaicdacaGGUaGaaGynaaaa@5AE0@
C fx =0.6,defx=0,tefx=0.5 MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4qamaaBa aaleaacaWGMbGaamiEaaqabaGccaaMc8Uaeyypa0JaaGPaVlaaicda caGGUaGaaGOnaiaacYcacaaMc8UaaGzbVlaadsgacaWGLbGaamOzai aadIhacaaMc8Uaeyypa0JaaGPaVlaaicdacaGGSaGaaGzbVlaadsha caWGLbGaamOzaiaadIhacaaMc8Uaeyypa0JaaGPaVlaaicdacaGGUa GaaGynaaaa@57CB@

等效径向应力以 θ 为间隔进行计算(默认值=18度)。可以通过改变点焊求解设中的角度数量字段来修改 θ 的值。然后,采用雨流循环计数法计算各角度下的疲劳寿命和损伤 ( θ )。然后选择最严重的损伤值进行输出。对另一个薄片也采用类似的方法。

焊点熔核位置

3. 焊点熔核横截面的力和力矩


绝对最大主应力是使用梁单元的剪切应力和弯曲应力作为载荷-时间历史中每个点的函数 θ 来计算的,如下所示:

τ ( θ ) = τ max ( f y ) sin θ + τ max ( f z ) cos θ
σ(θ)=σ( f x )+ σ max ( m y )sinθ σ max ( m z )cosθ MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4WdmNaai ikaiabeI7aXjaacMcacqGH9aqpcqaHdpWCcaGGOaGaamOzamaaBaaa leaacaWG4baabeaakiaacMcacqGHRaWkcqaHdpWCdaWgaaWcbaGaci yBaiaacggacaGG4baabeaakiaacIcacaWGTbWaaSbaaSqaaiaadMha aeqaaOGaaiykaiGacohacaGGPbGaaiOBaiabeI7aXjabgkHiTiabeo 8aZnaaBaaaleaaciGGTbGaaiyyaiaacIhaaeqaaOGaaiikaiaad2ga daWgaaWcbaGaamOEaaqabaGccaGGPaGaci4yaiaac+gacaGGZbGaeq iUdehaaa@5C85@

其中,
τ max ( f y ) = 16 f y 3 π D 2
τ max ( f z ) = 16 f z 3 π D 2
σ f x = 4 f x π D 2 f x > 0.0 时 MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aae WaaeaacaWGMbWaaSbaaSqaaiaadIhaaeqaaaGccaGLOaGaayzkaaGa aGjbVlabg2da9iaaysW7daWcaaqaaiaaisdacaWGMbWaaSbaaSqaai aadIhaaeqaaaGcbaGaeqiWdaNaamiramaaCaaaleqabaGaaGOmaaaa aaGccaaMf8UaaeOzaiaab+gacaqGYbGaaGzbVlaadAgadaWgaaWcba GaamiEaaqabaGccaaMc8UaeyOpa4JaaGPaVlaaicdacaGGUaGaaGim aaaa@5430@
σ f x = 0.0 f x 0.0 时 MathType@MTEF@5@5@+= feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aae WaaeaacaWGMbWaaSbaaSqaaiaadIhaaeqaaaGccaGLOaGaayzkaaGa aGjbVlabg2da9iaaysW7caaIWaGaaiOlaiaaicdacaaMf8UaaeOzai aab+gacaqGYbGaaGzbVlaadAgadaWgaaWcbaGaamiEaaqabaGccaaM c8UaeyizImQaaGPaVlaaicdacaGGUaGaaGimaaaa@509E@
σ max ( m y ) = 32 m y π D 3
σ max ( m z ) = 32 m z π D 3
D
焊缝单元的直径
T
损伤计算时考虑的薄片厚度

τ ( θ ) σ ( θ ) 计算每个 θ 的等效最大绝对主应力。这些应力被用于后续的疲劳分析。采用雨流循环计数法计算各角度下的疲劳寿命和损伤 ( θ )。然后选择最严重的损伤值进行输出。