ﻲﻨﻓ ﻩﺪﮑﺸﻧﺍﺩ ﻪﻳﺮﺸﻧ ,
ﻩﺭﻭﺩ ٤٣ , ﻩﺭﺎﻤﺷ ٤ , ﻩﺎﻣ ﺭﻮﻳﺮﻬﺷ ١٣٨٨ , ﺯﺍ ﻪﺤﻔﺻ ۵۰۱ ﺎﺗ ٥٠٩ ٥٠١
ﺳ ﺎ ﻭﺮﮐﺎﻣ ﺖﺧ ﻑﺪﻫ ﺎﺑ
ﻭﺮﭼ ﻩﺪﻳﺪﭘ ﻭﺩ ﻱﺮﻴﮕﻫﺭ ﺪﻨﻳﺁﺮﻓ ﺭﺩ ﻲﮔﺪﻴﮐﺮﺗ ﻭ ﻲﮔﺪﻴﮐ
ﻭﺭﺪﻴﻫ ﮓﻨﻴﻣﺮﻓ ﻪﻟﻮﻟ
ﻱﺮﻔﺻ ﻲﻨﻴﺴﺣ ﻥﺍﻮﻴﮐ ﻭ
۱ﻱﺪﻬﺸﻣ ﻱﻮﺳﻮﻣ ﺩﻮﻤﺤﻣ
٢*
ﻱﺎﻫ ﻩﺪﮑﺸﻧﺍﺩ ﺲﻳﺩﺮﭘ - ﮏﻴﻧﺎﮑﻣ ﻲﺳﺪﻨﻬﻣ ﺪﺷﺭﺍ ﻲﺳﺎﻨﺷﺭﺎﮐ ﻪﺘﺧﻮﻣﺁ ﺶﻧﺍﺩ
۱ﻲﻨﻓ - ﻥﺍﺮﻬﺗ ﻩﺎﮕﺸﻧﺍﺩ
ﻥﺍﺮﻬﺗ ﻩﺎﮕﺸﻧ ﺍﺩ - ﻲﻨﻓ ﻱﺎﻫ ﻩﺪﮑﺸﻧﺍﺩ ﺲﻳﺩﺮﭘ - ﮏﻴﻧﺎﮑﻣ ﻲﺳﺪﻨﻬﻣ ﻩﺪﮑﺸﻧﺍﺩ ﺩﺎﺘﺳﺍ
٢ ) ﺖﻓﺎﻳﺭﺩ ﺦﻳﺭﺎﺗ ۲۸/ ۶ / ۸۶ ﺡﻼﺻﺍ ﺖﻳﺍﻭﺭ ﺖﻓﺎﻳﺭﺩ ﺦﻳﺭﺎﺗ ، ﻩﺪﺷ
۲۵ / ۱ / ۸۸ ﺐﻳﻮﺼﺗ ﺦﻳﺭﺎﺗ ، ۲۱
/ ۵ / ۸۸ (
ﻩﺪﻴﮑﭼ
ﺍﺮﺑ ﻱ ﻪﻟﻮﻟ ﮓﻨﻴﻣﺮﻓﻭﺭﺪﻴﻫ ﺪﻨﻳﺁﺮﻓ ﺭﺩ ﻞﻤﺘﺤﻣ ﻱﺎﻫﺍﺩﺮﻳﺍ ﻉﻮﻗﻭ ﺯﺍ ﻱﺮﻴﮔﻮﻠﺟ )
ﻲﮔﺪﻴﮐﺮﺗ ﻭ ﻲﮔﺪﻴﮐﻭﺮﭼ ،ﺶﻧﺎﻤﮐ (
، ﺐﺳﺎﻨﻣ ﻱﺭﺍﺬﮔﺭﺎﺑ ﺮﻴﺴﻣ ﻦﻴﻴﻌﺗ
) ﻲﻠﺧﺍﺩ ﺭﺎﺸﻓ - ﺎﺟ ﺑﻪ ﻱﺭﻮﺤﻣ ﻲﻳﺎﺟ (
ﺑ ﻱﺭﻭﺮﺿ ﻪ ﻲﻣ ﺮﻈﻧ ﺪﺳﺭ . ﺯﺍ ﻩﺩﺎﻔﺘﺳﺍ ﺎﺑ ﺮﺿﺎﺣ ﺖﻴﻟﺎﻌﻓ ﺭﺩ ﮏﻳﺭﻮﺌﺗ ﻂﺑﺍﻭﺭ
ﻱﺭﺍﺪﻳﺎﭘ ﻪﻨﻴﻣﺯ ﺭﺩ ﺩﻮﺟﻮﻣ ﺖﺴﮑﺷ ﻭ
،
ﺺﺧﺎﺷ ﻪﺒﺳﺎﺤﻣ ﻥﺎﮑﻣﺍ ﮎﺯﺎﻧ ﻱﺎﻫ
ﻲﮔﺪﺷ ) ﻲﮔﺪﻴﮐﺮﺗ ( ﻭ ﻲﮔﺪﻴﮐﻭﺮﭼ ﺍﺰﺟﺍ ﻱﺩﺪﻋ ﻞﻴﻠﺤﺗ ﺭﺩ
ﻱ ﺎﻴﻬﻣ ﺪﻨﻳﺁﺮﻓ ﺩﻭﺪﺤﻣ ﻩﺪﺷ
ﺖﺳﺍ . ﺑ ﺎﺑ ﻪ ﻥﺎﺑﺯ ﻱﺮﻴﮔﺭﺎﮐ
ﻡﺮﻧ ﻱﺮﺘﻣﺍﺭﺎﭘ ﻲﺣﺍﺮﻃ ﺭﺍﺰﻓﺍ
Ansys ﺎﻳ
١APDL
، ﺶﻴﭘ ﻱﻭﺮﮐﺎﻣ ﻭﺩ ﻲﻨﻴﺑ
ﺩﺎﺠﻳﺍ ﺖﺴﮑﺷ ﻭ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻩﺪﻨﻨﮐ ﻩﺪﺷ
ﺖﺳﺍ . ﻡﺎﮕﻨﻫ ﻡﺎﮔ ﻪﺑ ﻡﺎﮔ ﻞﺣ
ﻡﺮﻧ ﻂﺳﻮﺗ ﺺﺧﺎﺷ ﻱﺩﺪﻋ ﺮﻳﺩﺎﻘﻣ ،ﺭﺍﺰﻓﺍ ﺭﺩ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻭ ﻲﮔﺪﻴﮐﺮﺗ ﻱﺎﻫ
ﻥﺎﻤﻟﺍ ﻪﻤﻫ ﻲﻣ ﻪﺒﺳﺎﺤﻣ ﺎﻫ ﻣ ﻦﻳﺍ ﻪﺴﻳﺎﻘﻣ ﻪﮐ ﺪﻧﻮﺷ
ﻲﻧﺍﺮﺤﺑ ﺮﻳﺩﺎﻘﻣ ﺎﺑ ﺮﻳﺩﺎﻘ
ﺺﺧﺎﺷ ﻦﻳﺍ ﮐﻭﺮﭼ ﻪﻧﺎﺘﺳﺁ ﺭﺩ ﺎﻫ ﺕﻭﺎﻀﻗ ،ﻲﮔﺪﻴﮐﺮﺗ ﻭ ﻲﮔﺪﻴ
ﻩﺭﺎﺑﺭﺩ ﺎﺨﺘﻧﺍ ﻱﺭﺍﺬﮔﺭﺎﺑ ﺮﻴﺴﻣ ﻲﺘﺳﺭﺩ ﺏ
ﻦﮑﻤﻣ ﺡﺍﺮﻃ ﻱﺍﺮﺑ ﺍﺭ ﻩﺪﺷ ﺪﻨﻣ
.
ﻩﮊﺍﻭ ﻱﺪﻴﻠﻛ ﻱﺎﻫ :
ﺩﻭﺪﺤﻣ ﻱﺍﺰﺟﺍ ﺵﻭﺭ ،ﻲﮔﺪﻴﮐﺮﺗ ،ﻲﮔﺪﻴﮐﻭﺮﭼ ،ﻪﻟﻮﻟ ﮓﻨﻳﺮﻓﻭﺭﺪﻴﻫ
،
APDL
ﻪﻣﺪﻘﻣ
ﮓﻨﻴﻣﺮﻓﻭﺭﺪﻴﻫ ﻡﺮﻓ ﺵﻭﺭ ﺯﺍ ﻲﻋﻮﻧ ،
ﻡﺮﻧ ﺭﺍﺰﺑﺍ ﺎﺑ ﻲﻫﺩ
ﺖﺳﺍ . ﻡﺮﻓ ﻱﮊﻮﻟﻮﻨﮑﺗ ﺩﺮﺑﺭﺎﮐ ﻡﺮﻧ ﺭﺍﺰﺑﺍ ﺎﺑ ﻲﻫﺩ
، ﺭﻮﻃ ﻪﺑ
ﻩﺩﺮﺘﺴﮔ ﺭﺩ ﻱﺍ ﺖﺳﺍ ﻪﺘﻓﺎﻳ ﺶﻳﺍﺰﻓﺍ ﺖﻌﻨﺻ .
ﻱﮊﻮﻟﻮﻨﮑﺗ ﻦﻳﺍ
،
ﻲﻟﻮﻤﻌﻣ ﻭ ﻩﺩﺎﺳ ﺕﺍﺰﻴﻬﺠﺗ ﺍ
ﻱ ﺖﺳﺍ ﺭﺩ ﻲﺘﺣﺍﺭ ﻪﺑ ﻪﮐ
ﺱﺮﺘﺳﺩ ﺖﺳﺍ ۱] .[ ﺎﺑ ﺪﻴﻟﻮﺗ ﻪﻴﻬﺗ ﻪﺑ ﺮﺠﻨﻣ ﻱﮊﻮﻟﻮﻨﮑﺗ ﻦﻳﺍ
ﻪﻌﻄﻗ ﺐﺳﺎﻨﻣ ﺖﻴﻔﻴﮐ ﺎﺑ ﻭ ﻱﺩﺎﺼﺘﻗﺍ ﻱﺍ ﺖﺳﺍ
. ﻲﺷﻭﺭ ﺭﺩ ﻪﮐ
ﻲﻣ ﻩﺭﺎﺷﺍ ﻥﺁ ﻪﺑ ﻖﻴﻘﺤﺗ ﻦﻳﺍ ﻢﻴﻨﮐ
، ﻪﻟﻮﻟ ﮓﻨﻴﻣﺮﻓﻭﺭﺪﻴﻫ ﺵﻭﺭ
ﺖﺳﺍ . ﻥﺁ ﺱﺎﺳﺍ ﻪﮐ ﺵﻭﺭ ﻦﻳﺍ ﻞﮑﺷ ﺭﺩ
) ۱ ( ﻩﺩﺍﺩ ﻥﺎﺸﻧ
ﺮﺑ ﺮﺘﺸﻴﺑ ،ﺖﺳﺍ ﻩﺪﺷ ﻱﺍ
ﻲﻟﺎﺧﻮﺗ ﺕﺎﻌﻄﻗ ﻥﺩﺍﺩ ﻞﮑﺷ ﺭﺎﮐ ﻪﺑ
ﻲﻣ ﺩﻭﺭ . ﻲﺣﺍﺮﻃ ﺭﺩ ﺪﻨﻳﺁﺮﻓ
ﻪﻟﻮﻟ ﮓﻨﻴﻣﺮﻓﻭﺭﺪﻴﻫ )
THF (
ﺶﻴﭘ ﻢﻬﻣ ﻪﻟﻮﻟ ﺭﺩ ﺖﺴﮑﺷ ﻭ ﻱﺭﺍﺪﻳﺎﭘﺎﻧ ﻉﻮﻗﻭ ﻲﻨﻴﺑ ﺖﺳﺍ
.
ﻞﮑﺷ ۱ : ﻪﻟﻮﻟ ﮓﻨﻴﻣﺮﻓﻭﺭﺪﻴﻫ ﺪﻨﻳﺁﺮﻓ ﺱﺎﺳﺍ ]
۲ [.
ﻣ ﺐﻳﺎﻌﻣ ﻲﻠﮐ ﺭﻮﻃ ﻪﺑ ﻲﻣ ﺍﺭ ﻞﻤﺘﺤ
ﻪﺳ ﻪﺑ ﻥﺍﻮﺗ ﻩﻭﺮﮔ
ﺩﺮﮐ ﻢﻴﺴﻘﺗ :
- ﺶﻧﺎﻤﮐ
- ﻲﮔﺩﺭﻮﺧ ﮎﻭﺮﭼ
- ﻲﮔﺪﻴﮐﺮﺗ
ﻞﮑﺷ ﺭﺩ ) ۲ ( ﻩﺪﺷ ﻩﺩﺍﺩ ﻥﺎﺸﻧ ﺐﻳﺎﻌﻣ ﻦﻳﺍ ﺪﻧﺍ
. ﻱﺭﺍﺪﻳﺎﭘﺎﻧ
ﺪﺘﻓﺍ ﻕﺎﻔﺗﺍ ﻞﺣﺍﺮﻣ ﻪﻴﻠﮐ ﺭﺩ ﺖﺳﺍ ﻦﮑﻤﻣ .
ﺯﺎﻏﺁ ﺭﺩ ﻲﺘﺣ
ﺩﺭﺍﺩ ﺭﺍﺮﻗ ﮏﻴﺘﺳﻻﺍ ﻪﻴﺣﺎﻧ ﺭﺩ ﻪﻟﻮﻟ ﻪﮐ ﺪﻨﻳﺁﺮﻓ
، ﺖﺳﺍ ﻦﮑﻤﻣ
ﺖﻟﺎﺣ ﮎﻭﺮﭼ ﺮﻴﻈﻧ ﻱﺭﺍﺪﻳﺎﭘﺎﻧ ﻱﺎﻫ ﺥﺭ ﺶﻧﺎﻤﮐ ﻭ ﻲﮔﺩﺭﻮﺧ
ﺪﻫﺩ . ﻳﺍﺮﺑﺎﻨﺑ ﻦﻴﻴﻌﺗ ﻡﺎﮕﻨﻫ ﻦ ﻞﻣﺍﻮﻋ
ﺍﺮﻓ ﻳ ﺪﻨ ﺩﻮﺷ ﺖﻗﺩ ﺪﻳﺎﺑ
ﻥﺎﻣﺯ ﺭﺩ ﺮﻳﺩﺎﻘﻣ ﻦﻳﺍ ﻪﮐ ﻲﻧﺍﺮﺤﺑ ﺪﺣ ﺯﺍ ﺮﺘﻤﮐ ﻒﻠﺘﺨﻣ ﻱﺎﻫ
ﺪﻨﻳﺁﺮﻓ ﻱﺎﻬﺘﻧﺍ ﺭﺩ ﺎﺗ ﺪﻨﺷﺎﺑ ﻪﺘﺷﺍﺩ ﺭﺍﺮﻗ ﺩﻮﺧ ﻥﺍﻮﺘﺑ
ﻪﺑ
ﻪﻌﻄﻗ ﺖﻓﺎﻳ ﺖﺳﺩ ﻢﻟﺎﺳ ﻱﺍ .
،ﺎﺳﺎﺳﺍ ﻪﻴﻟﻭﺍ ﻞﺣﺍﺮﻣ ﺭﺩ ﺶﻧﺎﻤﮐ
ﺖﺳﺍ ﻦﻴﻳﺎﭘ ﺶﻧﺮﮐ ﺢﻄﺳ ﻪﮐ ﻲﻧﺎﻣﺯ ﻭ ﻞﮑﺷ ﺮﻴﻴﻐﺗ
، ﻕﺎﻔﺗﺍ
ﻲﻣ ﺪﺘﻓﺍ .
ﻭﺮﭼ ﮎ ﻲﻣ ﺍﺭ ﻲﮔﺩﺭﻮﺧ ﺶﻧﺎﻤﮐ ﮏﻳ ﺕﺭﻮﺻ ﻪﺑ ﻥﺍﻮﺗ
ﺩﺮﮐ ﻒﻳﺮﻌﺗ ﻲﻌﺿﻮﻣ .
ﻳﺎﭘﺎﻧ ﺖﻟﺎﺣ ﻦﻳﺍ ﻭ ﻪﻴﻟﻭﺍ ﻞﺣﺍﺮﻣ ﺭﺩ ﻱﺭﺍﺪ
ﻡﺮﻓ ﻲﻧﺎﻴﻣ ﻣ ﻱﺭﺍﺬﮔﺭﺎﺑ ﻪﮐ ﻲﻧﺎﻣﺯ ﻭ ﻲﻫﺩ
ﺪﺣ ﻪﺑ ﻱﺭﻮﺤ
ﻲﻣ ﻕﺎﻔﺗﺍ ﺪﺳﺮﺑ ﻲﻧﺍﺮﺤﺑ ﺍ
ﺪﺘﻓ . ﺖﻟﺎﺣ ﻭﺩ ﺮﻫ ﺖﻠﻋ ﺪﻨﭼ ﺮﻫ
ﮎﻭﺮﭼ
،ﺖﺳﺍ ﻱﺭﻮﺤﻣ ﺭﺎﺑ ﺶﻳﺍﺰﻓﺍ ﺶﻧﺎﻤﮐ ﻭ ﻲﮔﺩﺭﻮﺧ ﻟﻭ
ﻲ
ﻪﻌﻄﻗ ﻪﺳﺪﻨﻫ ﻪﺑ ﻪﺘﺴﺑ
، ﺍ ﻲﮑﻳ ﻲﻣ ﻕﺎﻔﺗﺍ ﻭﺩ ﻦﻳﺍ ﺯ ﺪﺘﻓﺍ
.
٥٠٢ ﻲﻨﻓ ﻩﺪﮑﺸﻧﺍﺩ ﻪﻳﺮﺸﻧ
, ﻩﺭﻭﺩ ٤٣ , ﻩﺭﺎﻤﺷ ٤ ﻩﺎﻣ ﺭﻮﻳﺮﻬﺷ ، ١٣٨٨
THF ﺪﻨﻳﺁﺮﻓ ﺭﺩ ﻱﺭﺍﺪﻳﺎﭘﺎﻧ ﻱﺎﻫﺖﻟﺎﺣ : ۲ﻞﮑﺷ
ﺯﺍ ﺐﻴﺗﺮﺗ ﻪﺑ ،
ﭗﭼ ﻪﺑ ﺖﺳﺍﺭ :
ﮎﻭﺮﭼ ،ﻲﮔﺪﻴﮐﺮﺗ ﺶﻧﺎﻤﮐ ،ﻲﮔﺩﺭﻮﺧ
.
ﺭﺩ ﺶﻧﺎﻤﮐ ﺍﺮﻓ
ﻳ ﺪﻨ ﻲﻧﺎﻣﺯ ﻭ ﺪﻨﻠﺑ ﻝﻮﻃ ﺎﺑ ﻪﻟﻮﻟ ﻱﻭﺭTHF
ﺪﺷﺎﺑ ﻢﮐ ﺖﻣﺎﺨﺿ ﻪﺑ ﺮﻄﻗ ﺖﺒﺴﻧ ﻪﮐ ﻲﻣ ﻕﺎﻔﺗﺍ ،
ﺪﺘﻓﺍ . ﺭﺩ
ﮎﻭﺮﭼ ﻪﮐ ﻲﻟﺎﺣ ﻲﮔﺩﺭﻮﺧ
ﻃ ﺎﺑ ﻪﻟﻮﻟ ﻱﻭﺭ ﻝﻮ
ﻭ ﺪﻨﻠﺑ ﻱﺎﻫ
ﺪﺷﺎﺑ ﻻﺎﺑ ﺖﻣﺎﺨﺿ ﻪﺑ ﺮﻄﻗ ﺖﺒﺴﻧ ﻪﮐ ﻲﻧﺎﻣﺯ
، ﻩﺪﺷ ﻩﺪﻳﺩ
ﺖﺳﺍ . ﻲﮔﺪﻴﮐﺮﺗ
، ﺖﺤﺗ ﻪﮐ ﺖﺳﺍ ﻲﻌﺿﻮﻣ ﻱﺭﺍﺪﻳﺎﭘﺎﻧ ﮏﻳ
ﺄﺗ ﺑ ﮒﺭﺰﺑ ﻲﺸﺸﮐ ﻱﺎﻫﻭﺮﻴﻧ ﺮﻴﺛ ﻪ
ﻲﻣ ﺩﻮﺟﻭ ﺪﻳﺁ
. ﮏﻳ ﺭﺩ
ﺭﺎﺸﻓ ﺮﺑ ﻩﻭﻼﻋ ﺰﻴﻧ ﻱﺭﻮﺤﻣ ﺭﺎﺑ ،ﻪﻨﻴﻬﺑ ﮓﻨﻴﻣﺮﻓﻭﺭﺪﻴﻫ ﺪﻨﻳﺍﺮﻓ ﺖﻤﺴﻗ ﺭﺩ ﻲﻠﺧﺍﺩ ﻝﺎﻤﻋﺍ ﻪﻟﻮﻟ ﻲﻳﺎﻬﺘﻧﺍ ﻱﺎﻫ
ﻣ ﻲ ﺩﻮﺷ . ﺎﮐ ﻦﻳﺍ ﺭ
ﺍﺮﺑ ﻱ ﮎﺯﺎﻧ ﺯﺍ ﻱﺮﻴﮔﻮﻠﺟ
ﺖﻣﺎﺨﺿ ﺶﻫﺎﮐ ﺯﺍ ﻲﺷﺎﻧ ﻲﮔﺪﺷ
ﻩﺭﺍﻮﻳﺩ ﻲﻣ ﻡﺎﺠﻧﺍ ﺩﺮﻴﮔ . ﻦﻳﺍ ﺎﺑ ﻱﻭﺮﻴﻧ ﺩﺎﻳﺯ ﺭﺍﺪﻘﻣ ﺩﻮﺟﻭ
ﻲﻣ ﻱﺭﻮﺤﻣ ﻲﮔﺪﻴﮐﻭﺮﭼ ﺎﻳ ﺶﻧﺎﻤﮐ ﻪﺑ ﺮﺠﻨﻣ ﺪﻧﺍﻮﺗ
ﺩﻮﺷ .
ﻩﺩﺎﻣ ﮏﻳ ﻱﺍﺮﺑ ﻲﺿﺎﻳﺭ ﻞﻴﻠﺤﺗ ﺐﻠﺻ
– ﻂﻳﺍﺮﺷ ﺭﺩ ﮏﻴﺘﺳﻼﭘ
ﻪﺤﻔﺻ ﺶﻨﺗ ﻡﺮﻓ ﺪﺣ ﻱﺍﺮﺑ ﻱﺍ
ﮓﻨﻴﻣﺮﻓﻭﺭﺪﻴﻫ ﻦﻴﺣ ﻱﺮﻳﺬﭘ
ﺩﻮﺟﻮﻣ ﻪﻟﻮﻟ ﺖﺳﺍ
. ﻑﻭﺮﻌﻣ ﻪﻤﻫ ﻲﮔﺪﺷ ﮎﺯﺎﻧ ،ﺭﺎﻴﻌﻣ ﻦﻳﺮﺗ
۲ﻪﻳﻮﺳ ﻪﮐ ﺖﺳﺍ ﻂﺳﻮﺗ Swift ۳] ﻪﮐ ﺖﺳﺍ ﻩﺪﺷ ﻪﺋﺍﺭﺍ[ ﺩﻮﺧ
ﻞﻴﻫ ﻲﻳﺎﺘﮑﻳ ﻞﺻﺍ ﺯﺍ ﺝﺎﺘﻨﺘﺳﺍ ﻞﺻﺎﺣ ۴]
ﺍ[ ﺖﺳ . ﺪﻧﻭﺭ ﻦﻳﺍ ﻪﺑ
ﮔﺯﺎﺗ ﻲ ﻱﺩﺎﻳﺯ ﺩﺍﺮﻓﺍ ﻂﺳﻮﺗ ۵]
،۶ ﮓﻨﻴﻣﺮﻓﻭﺭﺪﻴﻫ ﺪﻨﻳﺍﺮﻓ ﺭﺩ [
ﺖﺳﺍ ﻪﺘﻓﺮﮔ ﺭﺍﺮﻗ ﻪﺟﻮﺗ ﺩﺭﻮﻣ ﻪﻟﻮﻟ .
ﺺﺨﺸﻣ ﻡﺮﻓ ﻪﮐ ﺖﺳﺍ ﻩﺪﺷ ﺭﺩ ﻪﻟﻮﻟ ﻱﺮﻳﺬﭘ
ﺪﻨﻳﺍﺮﻓ
، ﻪﺑ
ﺖﺳﺍ ﻪﺘﺴﺑﺍﻭ ﻱﺭﺍﺬﮔﺭﺎﺑ ﺮﻴﺴﻣ ﻪﺑ ﺕﺪﺷ
؛ ﻱﺭﻮﻃ ﻪﺑ ﻪﮐ
ﻲﻳﺎﻬﺘﻧﺍ ﻪﻳﺬﻐﺗ ﻂﻳﺍﺮﺷ )
ﻱﺭﻮﺤﻣ ﺭﺎﺑ (
ﻉﻭﺮﺷ ﺭﺩ ﻱﺯﺭﺎﺑ ﺕﺍﺮﺛﺍ
ﻥﺪﻴﮐﺮﺗ ۳
ﺩﺭﺍﺩ .
ﺕﺎﻌﻟﺎﻄﻣ ﺯﺍ ﻲﮐﺪﻧﺍ ﺩﺍﺪﻌﺗ ﻪﺘﻓﺮﮔ ﻡﺎﺠﻧﺍ
ﺪﻨﻳﺍﺮﻓ ﻦﻳﺍ ﺭﺩ ،
ﻱﺭﺍﺪﻳﺎﭘﺎﻧ ﮎﺯﺎﻧ ﻭ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻱﺎﻫ ﻲﮔﺪﺷ
ﺍﺭ ﻢﻫ ﺎﺑ ﺭﺩ
ﻪﺘﻓﺮﮔ ﺮﻈﻧ ﺭﺩ ﻞﻴﻠﺤﺗ ﺪﻧﺍ
. ﺖﻴﻟﺎﻌﻓ Xia ۷] ﻩﺩﺎﺳ ﻞﻴﻠﺤﺗ ﮏﻳ[
ﮎﺯﺎﻧ ﻱﺭﺍﺪﻳﺎﭘﺎﻧ ﺯﺍ ﻲﻣ ﻪﺋﺍﺭﺍ ﺍﺭ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻭ ﻲﮔﺪﺷ
ﺪﻫﺩ .
ﻡﺮﺗ ﺱﺎﺳﺍ ﺮﺑ ﻱﺭﺍﺪﻳﺎﭘ ﻱﺎﻫﺭﺍﺩﻮﻤﻧ ،ﻪﻟﺎﻘﻣ ﻦﻳﺍﺭﺩ ﺭﺎﺸﻓ ﻱﺎﻫ
ﻲﻟﺎﻤﻋﺍ ) ﺭﻮﺤﻣ ﺭﺍﺩﻮﻤﻧ ﻢﻴﺳﺮﺗ ﺭﺩ ﻲﺿﺮﻋ (
ﺑﺎﺟ ﻭ ﻪ ﻪﻳﺬﻐﺗ ﻲﻳﺎﺟ
ﻲﻳﺎﻬﺘﻧﺍ ) ﻲﻟﻮﻃﺭﻮﺤﻣ (
ﺪﻧﻭﺭ ﮏﻳ ﻪﮐ ﺖﺳﺍ ﻩﺪﺷ ﻩﺩﺍﺩ ﻥﺎﺸﻧ
ﺟ ﺩﺮﺑﺭﺎﮐ ﻱﺍﺮﺑ ﺐﻟﺎ ﺭﺍ ﻲﻠﻤﻋ ﻱﺎﻫ
ﻲﻣ ﻪﺋﺍ ﺪﻫﺩ ﺯﺍ ﻩﺩﺎﻔﺘﺳﺍ ﺎﺑ .
ﻱﺎﻫﺪﮐ ﻪﻴﺒﺷ ﺯﺍ ﻱﺮﺳ ﮏﻳ ﺰﻴﻧ FE
ﺪﻨﻳﺁﺮﻓ ﻱﺎﻫﺯﺎﺳ
ﻥﺎﮑﻣﺍ ﺖﺳﺍ ﺮﻳﺬﭘ ﺖﻟﺎﺣ ﺭﺩ ﻲﻟﻭ ،
ﺕﺎﺒﺳﺎﺤﻣ ،ﻲﻠﮐ ﻱﺎﻫ
ﮎﺯﺎﻧ ﺡﺮﻄﻣ ﻱﺭﻮﺌﺗ ﻂﺑﺍﻭﺭ ﺐﻟﺎﻗ ﺭﺩ ﺶﻧﺎﻤﮐ ﻭ ﻲﮔﺪﺷ
ﻣ ﻲ ﺩﻮﺷ .
ﺯﺍ ﺮﮕﻳﺩ ﻑﺮﻃ ﺭﺩ
ﺯﺍ ﻱﺭﺎﻴﺴﺑ ﻢﻴﻨﻴﻣﻮﻟﺁ ﻱﺎﻫﮊﺎﻴﻟﺁ
، ﻥﺪﻴﮐﺮﺗ
ﻧ ﻩﺪﻫﺎﺸﻣ ﻥﻭﺪﺑ ﮎﺯﺎ
ﺢﺿﺍﻭ ﻲﻌﺿﻮﻣ ﻲﮔﺪﺷ ﻣ ﺥﺭ
ﻲ ﺪﻫﺩ ۸] .[
ﻦﻳﺍ ﺭﺩ ﻪﻧﻮﮔ ﻮﻣ ﺩﺭا
، ﺖﺴﮑﺷ ﮎﺯﺎﻧ ﻉﻭﺮﺷ ﺯﺍ ﻞﺒﻗ ﻲﮔﺪﺷ
ﻲﻣ ﺥﺭ ﻲﻠﺤﻣ ﻲﮔﮋﻳﻭ ﺮﻴﺛﺄﺗ ﺖﺤﺗ ﻭ ﺪﻫﺩ
ﻭ ﻲﺘﺨﺳ ﺭﺎﮐ ﻱﺎﻫ
ﻲﻣ ﺭﺍﺮﻗ ﻱﺩﺮﮕﻧﺎﺴﻤﻫﺎﻧ ﺩﺮﻴﮔ
. ﺑ ﺩﺍﻮﻣ ﻦﻳﺍ ﻞﻴﻠﺤﺗ ﺪﻧﻭﺭ ﺎ
ﻡﻮﺳﺮﻣ ) ﻱﺭﺍﺪﻳﺎﭘﺎﻧ ﺱﺎﺳﺍ ﺮﺑ ﻲﺸﺸﮐ ﻱﺎﻫ
( ﻱﺪﻧﻭﺭ ﻖﺑﺎﻄﻣ ﻭ
ﺖﻴﻟﺎﻌﻓ ﻪﺑﺎﺸﻣ Swift
ﺑ ، ﺶﻴﭘ ﻱﺍﺮ ﻞﮑﺷ ﺪﺣ ﻲﻨﻴﺑ
ﻱﺮﻳﺬﭘ
ﻲﻓﺎﮐ
؛ﺖﺴﻴﻧ ﮎﺯﺎﻧ ﻉﻭﺮﺷ ﺍﺮﻳﺯ ﺎﺑ ﻝﺩﺎﻌﻣ ﻲﻌﺿﻮﻣ ﻲﮔﺪﺷ
ﺖﺴﻴﻧ ﺖﺴﮑﺷ ﻉﻭﺮﺷ .
ﺍﻳ ﻦ ﻉﻮﺿﻮﻣ ﻘﺤﻣ ﺶﻳﺍﺮﮔ ﺚﻋﺎﺑ ﻘ
ﻥﺎ
ﺭﺎﻴﻌﻣ ﺯﺍ ﻩﺩﺎﻔﺘﺳﺍ ﻪﺑ ﻱﺎﻫ
ﺑ ﻡﺮﻧ ﺖﺴﮑﺷ ﻪ
ﻱﺎﺟ ﻱﺎﻫﺭﺎﻴﻌﻣ
ﻱﺭﺍﺪﻳﺎﭘﺎﻧ ﮏﻴﺘﺳﻼﭘ
ﺍﺮﺑ ﻱ ﺪﻨﻳﺁﺮﻓ ﺭﺩ ﻲﮔﺪﻴﮐﺮﺗ ﻞﻴﻠﺤﺗ
ﮓﻨﻴﻣﺮﻓﻭﺭﺪﻴﻫ ﺖﺳﺍ ﻩﺪﺷ
. ﺎﻨﺑ ﺯﺍ ﺲﭘ ﺮﺿﺎﺣ ﻪﻌﻟﺎﻄﻣ ﺭﺩ ﻦﻳﺍﺮﺑ
ﻭﺮﭼ ﻞﻴﻠﺤﺗ ﻲﮕﻧﻮﮕﭼ ﻪﺑ ﻩﺭﺎﺷﺍ ﻲﮔﺪﻴﮐ
ﻡﺮﻧ ﺖﺴﮑﺷ ﺭﺎﻴﻌﻣ ،
ﻥﺎﻳﻭﺍ ﺡﺮﻄﻣ ﺖﺳﺍ ﻩﺪﺷ .
ﻥﺎﻤﻫ ﺪﺷ ﻩﺭﺎﺷﺍ ﻪﮐ ﺭﻮﻃ
، ﺍﻭ ﺩﺭ
ﺍﻭﺭ ﻦﻳﺍ ﻥﺩﺮﮐ ﺑ
ﻞﺣ ﺭﺩ ﮏﻳﺭﻮﺌﺗ ﻂ ﺯﺍ ﻩﺩﺎﻔﺘﺳﺍ ﺎﺑ ﻱﺩﺪﻋ ﻱﺎﻫ
ﻡﺮﻧ ﺭﺍﺰﻓﺍ ﻪﺟﻮﺗ ﺎﺑ ،ﺞﻳﺍﺭ ﻱﺎﻫ ﻪﺑ
ﺡﺍﺮﻃ ﻪﺑ ﺐﺳﺎﻨﻣ ﺪﻳﺩ ﻪﺋﺍﺭﺍ
ﺍﺮﺑ ﻱ ،ﻡﺎﮔ ﻪﺑ ﻡﺎﮔ ﻞﺣ ﺭﺩ ﻱﺭﺍﺬﮔﺭﺎﺑ ﻪﻨﻴﻬﺑ ﺮﻴﺴﻣ ﻦﻴﻴﻌﺗ
ﻪﻟﻮﻘﻣ ﺖﺳﺍ ﺪﻨﻤﺷﺯﺭﺍ ﺭﺎﻴﺴﺑ ﻱﺍ .
ﺑ ﺍﺮﺑﺎﻨ ﻳ ﻦ ﻦﺘﺷﺍﺩ ﺭﺎﻴﺘﺧﺍ ﺭﺩ ﺎﺑ
ﺍﻳ ﻦ ﻂﺑﺍﻭﺭ ﻥﺎﺑﺯ ﺯﺍ ﻩﺩﺎﻔﺘﺳﺍ ﺎﺑ ﻲﻳﺎﻫﺪﮐ ، APDL
) ﻥﺎﺑﺯ ﺹﺎﺧ
ﻪﻣﺎﻧﺮﺑ Ansys ( ﺖﺳﺍ ﻩﺪﺷ ﻪﺋﺍﺭﺍ .
ﺯﺍ ﺲﭘ ﺭﻮﻈﻨﻣ ﻦﻳﺍ ﻪﺑ
ﻝﺪﻣ ﻥﺭﺎﻘﺗ ﺎﺑ ﻪﻌﻄﻗ ﮏﻳ ﻱﺯﺎﺳ
،ﻱﺭﻮﺤﻣ ﻱﺭﺍﺬﮔﺭﺎﺑ ﺮﻴﺴﻣ ﻭﺩ
ﺕﻭﺎﻔﺘﻣ ﺭﺩ ﻲﮔﺪﻴﮐﺮﺗ ﻭ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻩﺪﻫﺎﺸﻣ ﻱﺍﺮﺑ ﺐﻴﺗﺮﺗ ﻪﺑ
ﺮﮐﺎﻣ ﺲﭙﺳ ﻭ ﺖﺳﺍ ﻩﺪﺷ ﻪﺘﻓﺮﮔ ﺮﻈﻧ ﻭ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻱﺎﻫﻭ
ﻱﺭﺍﺬﮔﺭﺎﺑ ﺖﻟﺎﺣ ﻭﺩ ﺮﻫ ﺭﺩ ﻥﺎﻳﻭﺍ ﺖﺴﮑﺷ
، ﻞﺣ ﺯﺍ ﺲﭘ ﻪﻴﻟﻭﺍ
ﻂﺳﻮﺗ ﻡﺮﻧ ﺍﺮﺟﺍ ﻪﺑ ﺭﺍﺰﻓﺍ ﻩﺪﺷ ﻪﺘﺷﺍﺬﮔ
ﺪﻧﺍ . ﺍﺮﺟﺍ ﺯﺍ ﺲﭘ ﻱ
ﺎﻫﻭﺮﮐﺎﻣ
، ﺭﺎﮐ ﻪﺑ ﺕﺍﺭﻮﺘﺳﺩ ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ ﻦﺘﻣ ﺭﺩ ﻩﺪﺷ ﻪﺘﻓﺮﮔ
،ﺎﻫﺪﮐ ﻲﺟﻭﺮﺧ ﻱﺎﻫ ﻩﺪﺷ ﻪﺘﻓﺮﮔ ﺮﻈﻧ ﺭﺩ )
ﺺﺧﺎﺷ ﻱﺎﻫ
ﺖﺴﮑﺷ ﻭ ﻲﮔﺪﻴﮐﻭﺮﭼ (
ﺑ ﺳﻮﺗ ﺭﺍﺩﻮﻤﻧ ﻭ ﻝﻭﺍﺪﺟ ﺕﺭﻮﺻ ﻪ ﻂ
ﻡﺮﻧ ﻲﻣ ﻪﺋﺍﺭﺍ ﺭﺍﺰﻓﺍ ﻮﺷ
ﻧ ﺪ .
ﻲﮔﺪﻴﮐﻭﺮﭼ ﻞﻴﻠﺤﺗ
ﻪﺑ ﻲﮔﺪﻴﻛﻭﺮﭼ ﻞﮑﺷ
ﺝﻮﻣ ﻱﺮﺳ ﻚﻳ ﻚﭼﻮﻛ ﻱﺎﻫ
، ﻢﻫ
ﺭﻮﻈﻨﻣ ﻪﺑ ﻭﺮﮐﺎﻣ ﺖﺧﺎﺳ ...
٥٠٣
ﻱﺭﻮﺤﻣ ﺖﻬﺟ ﺭﺩ ﻢﻫ ﻭ ﻲﻄﻴﺤﻣ ﺖﻬﺟ ﺭﺩ ﻩﺪﻫﺎﺸﻣ
ﻲﻣ ﺪﻧﻮﺷ . ﺶﻧﺎﻤﻛ ﺭﺩ
، ﻲﻣ ﺏﺎﺗ ﺏﻮﻴﺗ ﺭﻮﺤﻣ ﺩﺭﻮﺧ
، ﺭﺩ ﻲﻟﻭ
ﻲﻣ ﻲﻗﺎﺑ ﺖﺳﺍﺭ ﺏﻮﻴﺗ ﺭﻮﺤﻣ ﻲﮔﺪﻴﻛﻭﺮﭼ ﺪﻧﺎﻣ
. ﺪﻣ ﻉﻮﻧ ﻭﺩ
ﻙﻭﺮﭼ ﻲﮔﺩﺭﻮﺧ ﺩﺭﺍﺩ ﺩﻮﺟﻭ
. ﺭﺩ ﻭﺮﭼ ﻙ ﻥﺭﺎﻘﺘﻣ ﻲﮔﺩﺭﻮﺧ
،
ﺝﻮﻣ ﻱﺭﻮﺤﻣ ﺖﻬﺟ ﺭﺩ ﺎﻫ ﻲﻣ ﺪﻳﺪﭘ ﻪﻟﻮﻟ
ﺪﻨﻳﺁ
، ﺭﺩ ﻲﻟﻭ
ﻙﻭﺮﭼ ﺎﻧ ﻲﮔﺩﺭﻮﺧ ﻥﺭﺎﻘﺘﻣ
، ﺝﻮﻣ ﻭ ﻱﺭﻮﺤﻣ ﺖﻬﺟ ﺭﺩ ﻢﻫ ﺎﻫ
ﺑ ﻲﻄﻴﺤﻣ ﺖﻬﺟ ﺭﺩ ﻢﻫ ﻪ
ﻲﻣ ﺩﻮﺟﻭ ﺪﻨﻳﺁ . ﻲﻣ ﺖﺑﺎﺛ ﺩﻮﺷ ﻪﮐ
ﻙﻭﺮﭼ ﻉﻮﻗﻭ ﺩﺭﺍﻮﻣ ﺮﺜﮐﺍ ﺭﺩ ﻪﺑ ﺖﺒﺴﻧ ﻥﺭﺎﻘﺘﻣﺎﻧ ﻲﮔﺩﺭﻮﺧ
ﻙﻭﺮﭼ ﻱﺭﻮﺤﻣ ﻱﺭﺎﺸﻓ ﻱﻭﺮﻴﻧ ﻝﺎﻤﻋﺍ ﻪﺑ ﻥﺭﺎﻘﺘﻣ ﻲﮔﺩﺭﻮﺧ
ﺭﺰﺑ ﮒ ﺩﺭﺍﺩ ﺯﺎﻴﻧ ﻱﺮﺗ ۹]
.[ ﻦﻳﺍﺮﺑﺎﻨﺑ ﻲﻣ ﻦﻳﺍ ﻥﺍﻮﺗ ﻩﻮﺤﻧ
ﻲﮔﺪﻧﺎﻣﺍﻭ ﺍﺭ ﮓﻨﻴﻣﺮﻓﻭﺭﺪﻴﻫ ﺪﻨﻳﺍﺮﻓ ﻞﻴﻠﺤﺗ ﺯﺍ ﻥﺭﺎﻘﺗ ﺎﺑ ﻪﻌﻄﻗ
ﻱﺭﻮﺤﻣ ) ﻪﺑﺎﺸﻣ ﻲﻣ ﺭﺍﺮﻗ ﺚﺤﺑ ﺩﺭﻮﻣ ﺎﺠﻨﻳﺍ ﺭﺩ ﻪﭽﻧﺁ ﺩﺮﻴﮔ
(
ﺩﺮﻛ ﺝﺭﺎﺧ .
ﻞﻴﻠﺤﺗ ﻪﺋﺍﺭﺍ ﻱﺎﻫ ﺶﻴﭘ ﻪﻨﻴﻣﺯ ﺭﺩ ﻩﺪﺷ ﻲﻨﻴﺑ
ﺭﺍﺪﻘﻣ ﺶﻨﺗ
ﻉﻮﻨﺘﻣ ﻲﮔﺪﻴﻛﻭﺮﭼ ﻉﻮﻗﻭ ﻪﻧﺎﺘﺳﺁ ﺭﺩ ﻲﻧﺍﺮﺤﺑ ﻱﺭﻮﺤﻣ ﻭ ﺖﺳﺍ
ﻂﻘﻓ ﻩﺪﻫﺎﺸﻣ ﺖﻫﺎﺒﺷ ﻞﻴﻠﺤﺗ ﻪﻧﻮﮔ ﻦﻳﺍ ﺭﺩ ﻩﺪﺷ
ﺽﺮﻓ ﺭﺩ ﺎﻫ
ﻪﺑ ﻡﺮﻓ ﺮﻴﻴﻐﺗ ﻪﺳﺪﻨﻫ ﻞﮑﺷ
ﺖﺳﺍ ﻲﺳﻮﻨﻴﺳ .
ﺭﺩ ﻲﻧﺍﺮﺤﺑ ﻱﺭﻮﺤﻣ ﻱﺭﺎﺸﻓ ﺶﻨﺗ ﻪﻄﺑﺍﺭ ﻪﺑ ﺎﺠﻨﻳﺍ ﺭﺩ
ﻧﺎﺘﺳﺁ ﻪ ﻮﭼ ﺕﺎﻌﻟﺎﻄﻣ ﺞﻳﺎﺘﻧ ﺯﺍ ﻩﺩﺎﻔﺘﺳﺍ ﺎﺑ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻉﻮﻗﻭ
۹] ﻩﺭﺎﺷﺍ [
،ﺖﺳﺍ ﻩﺪﺷ ﺑ
ﻪ ﻱﺭﻮﻃ ﻪﮐ ﺯﺍ ﻭﺭ ﻲﮕﻧﻮﮕﭼ ﺪﻧ
ﺰﺟ ﻭ ﻂﺑﺍﻭﺭ ﺝﺍﺮﺨﺘﺳﺍ ﻁﻮﺑﺮﻣ ﺕﺎﻴﺋ
ﻥﺁ ﻪﺑ ﻱﺭﺍﺩﺩﻮﺧ ﻩﺪﺷ
ﻭ
ﻪﺑ ﻲﻧﺍﺮﺤﺑ ﻱﺭﻮﺤﻣ ﺶﻨﺗ ﺭﺍﺪﻘﻣ ﻲﻳﺎﻬﻧ ﺕﺭﺎﺒﻋ ﻞﮑﺷ
ﻪﻄﺑﺍﺭ
) ۱ ( ﻪﺋﺍﺭﺍ ﻣ ﻲ ﺩﻮﺷ . ﺭﺎﻬﭼ ﻦﺘﻓﺮﮔ ﺮﻈﻧ ﺭﺩ ﺎﺑ
ﻱﺎﻫﺭﻮﺤﻣ ﺏﻮﭼ
ﻞﮑﺷ ﻖﺑﺎﻄﻣ ﻪﻟﻮﻟ ﮎﺯﺎﻧ ﻩﺭﺍﻮﻳﺩ ﻪﺑ ﻞﺼﺘﻣ ﺕﺎﺼﺘﺨﻣ )
۳ (
،
ﻧﺎﺘﺳﺁ ﺭﺩ ﻲﻧﺍﺮﺤﺑ ﻱﺭﻮﺤﻣ ﻱﺭﺎﺸﻓ ﺶﻨﺗ ﻪ
ﻲﮔﺪﻴﮐﻭﺮﭼ ﻉﻮﻗﻭ
ﻪﺑ ﺍﻳ ﻦ ﺗﺮﺗ ﻴ ﺐ ﻪﺋﺍﺭﺍ ﻩﺪﺷ ﺖﺳﺍ :
2 2 2222 2
111 1 ) ( )
( ) 12 (
)
* (
r L L m
L t L m
cr p
s = p +
(۱) ﺭﺩ ﺍﻳ ﻦ ﺍﺭ ﻪﻄﺑ :
22 2 2
2222
11 2 2
1111
) )(
2 ( 1
) 1 (
) )(
2 ( 1
) 1 (
s s
s s
t t
E E r E L r
E E r E L r
+ -
= + + -
= +
( ۲) ﺭﺩ ﺍﻳ ﻦ ﻂﺑﺍﻭﺭ ﻧﻴ ﺰ
،t ﻭr ﻝﻮﻃ ﻭ ﻉﺎﻌﺷ ،ﺖﻣﺎﺨﺿ ﺐﻴﺗﺮﺗ ﻪﺑ L
ﻪﻟﻮﻟ ﺪﻨﺘﺴﻫ .
11 22, s ﻞﮑﺷ ﻖﺑﺎﻄﻣ s
) ۳ ( ﺶﻨﺗ ﺎﻫ ﺭﺩ
ﻩﺪﺷ ﻒﻳﺮﻌﺗ ﻲﻄﻴﺤﻣ ﻭ ﻱﺭﻮﺤﻣ ﺕﺎﻬﺟ ﺪﻧﺍ
. ﻦﻴﻤﻫ ﺭﺩ ﺭﻮﻃ
ﻪﻄﺑﺍﺭ ۲
، ﺩ ﺭ ﺑ ﺕﺭﻮﺻ ﻪ ﻱﺮﻴﮔﺭﺎﮐ ﻚﻴﺘﺳﻼﭘ ﻥﺎﻳﺮﺟ ﻱﺭﻮﺌﺗ
،
ﻝﺩﺎﻌﻣ ﻝﻭﺪﻣ ﺎﻳ
ﺎﺑ E ﻝﻭﺪﻣ ﮓﻧﺎﻳ ) (E ﻦﻳﺰﮕﻳﺎﺟ
ﻲﻣ ﺩﻮﺷ r. ﺐﻳﺮﺿ ﺰﻴﻧ ﻚﻴﺘﺳﻼﭘ ﻱﺩﺮﮕﻧﺎﺴﻤﻫﺎﻧ
ﺖﺳﺍ .
ﻞﮑﺷ ۳ : ﺭﺎﻬﭼ ﮎﺯﺎﻧ ﻩﺭﺍﻮﻳﺩ ﻪﺑ ﻞﺼﺘﻣ ﺕﺎﺼﺘﺨﻣ ﻱﺎﻫﺭﻮﺤﻣ ﺏﻮﭼ
ﻪﻟﻮﻟ .
ﺘﺳﺍ ﺎﺑ ﻪﻄﺑﺍﺭ ﺯﺍ ﻩﺩﺎﻔ )
۱ ( ﻲﻣ ، ﻦﻴﻴﻌﺗ ﻱﺍﺮﺑ ﻲﺼﺧﺎﺷ ﻥﺍﻮﺗ
ﻪﺋﺍﺭﺍ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻉﻮﻗﻭ ﻝﺎﻤﺘﺣﺍ ﻥﺍﺰﻴﻣ ﺩﺮﮐ
. ﺍﺮﺑ ﻱ ﺍﻳ ﻑﺪﻫ ﻦ
ﺎﺑﻳ ﺪ ﻪﻄﺑﺍﺭ ) ۱ ( ﺩﺮﮐ ﻝﻮﻃ ﺯﺍ ﻞﻘﺘﺴﻣ ﺍﺭ .
ﻦﻳﺍ ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ
ﻮﻣ ﺭﻮﻃ ﻪﺑ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻪﮐ ﻉﻮﺿﻮﻣ ﺿ
ﻲﻟﻮﻃ ﻱﺎﺘﺳﺍﺭ ﺭﺩ ﻲﻌ
ﻲﻣ ﺥﺭ ﻪﻟﻮﻟ ﺍﺭ ﻲﻟﻮﻃ ،ﺪﻫﺩ
ﻲﮔﺪﻴﮐﻭﺮﭼ ﻥﺁ ﺭﺩ ﻪﮐ ﻦﻳﺮﺘﻤﮐ ﺎﺑ
ﺎﺸﻓ ﺶﻨﺗ ﺭﺍﺪﻘﻣ ﻲﻣ ﺥﺭ ﻱﺭ
،ﺪﻫﺩ ﻲﻣ ﻥﺍﻮﺗ ﺑ ﺮﻳﺯ ﺕﺭﻮﺻ ﻪﺑ ﻪ
ﺩﺭﻭﺁ ﺖﺳﺩ :
) ۳ (
4 2 2
2222 1111
*
12L ) ( L
0 l r t
l
cr = Þ = ´
¶
¶s p
m = ) ﺭﺍﺪﻘﻣ ﺯﺍ ﻻﺎﺑ ﻪﻄﺑﺍﺭ ﺭﺩ ﻝﻮﻃ ﻪﺑ ﻲﺑﺎﻴﺘﺳﺩﻱﺍﺮﺑ ﻪﮐ (1 ﻪﻄﺑﺍﺭ ﺭﺩ ) ۱ ( ﺖﺳﺍ ﻩﺪﺷ ﻩﺩﺎﻔﺘﺳﺍ .
ﺍﺬﮕﻳﺎﺟ ﺎﺑ ﻱﺭ ﻝﻮﻃ ) (l ﻪﻄﺑﺍﺭ ﺯﺍ ) ۳ ( ﺕﺭﺎﺒﻋ ﺭﺩ )
۱ ( ،
ﻲﻣ ﻣ ﻲﻧﺍﺮﺤﺑ ﺶﻨﺗ ﺭﺍﺪﻘﻣ ﻥﺍﻮﺗ
ﻉﻭﺮﺷ ﻱﺍﺮﺑ ﻱﺭﻮﺤ
ﻪﺑ ﺍﺭ ﻲﮔﺪﻴﮐﻭﺮﭼ ﺍﻳ
ﻞﮑﺷ ﻦ ﻪﺋﺍﺭﺍ ﺩﺮﮐ :
) ۴ (
2222
3 1111
*
6 t L L
cr =-
ﺍﻳ ﻦ ﺖﺑﺎﺛ ﻭﺩ ﻪﻄﺑﺍﺭ
،
2222 1111,L ﺖﺑﺎﺛ ﻦﻳﺍ ﻪﮐ ﺩﺭﺍﺩ L
ﺍﺭ ﺎﻫ
ﻲﻣ ﻂﺑﺍﻭﺭ ﺯﺍ ﻥﺍﻮﺗ )
۲ ( ﺑ ﻭ ﺩﺮﮐ ﻦﻳﺰﮕﻳﺎﺟ ﻻﺎﺑ ﻪﻄﺑﺍﺭ ﺭﺩ ﺭﺩ ﺎ
ﻦﺘﻓﺮﮔ ﺮﻈﻧ
=1
ﻪﺑ ﺍﺭ ﻲﻧﺍﺮﺤﺑ ﻱﺭﻮﺤﻣ ﺶﻨﺗ ﺭﺍﺪﻘﻣ ،r
ﺍﻳ ﻦ
ﺗﺮﺗ ﻴ ﺐ ﺩﺮﮐ ﻲﺴﻳﻮﻧﺯﺎﺑ :
2 22
11 2
) )(
3 ( (4
) ) )(
3 ( (4
* 3 6
s s
s s
t
t cr
E E E
E E t E
- -
´ -
- -
=
) ۵ (
ﺩ ﺭﺎﻴﺘﺧﺍ ﺭﺩ ﺎﺑ ﻝﺎﺣ
ﻱﺭﻮﺤﻣ ﺶﻨﺗ ﻱﺭﺍﺪﻘﻣ ﻦﺘﺷﺍ
ﻲﻣ ﻲﻧﺍﺮﺤﺑ ﺺﺧﺎﺷ ﻥﺍﻮﻨﻋ ﻪﺑ ﺍﺭ ﺮﻳﺯ ﻪﻄﺑﺍﺭ ﻥﺍﻮﺗ
ﻲﮔﺪﻴﮐﻭﺮﭼ
ﺮﻌﻣ ﺩﺮﮐ ﻲﻓ :
٥٠٤ ﻲﻨﻓ ﻩﺪﮑﺸﻧﺍﺩ ﻪﻳﺮﺸﻧ
, ﻩﺭﻭﺩ ٤٣ , ﻩﺭﺎﻤﺷ ٤ ﻩﺎﻣ ﺭﻮﻳﺮﻬﺷ ، ١٣٨٨
) ۶ (
* 11 cr
indicator
W s
=s
ﺯﺍ ﺍﻳ ﻦ ﺖﺧﺎﺳ ﺭﺩ ﻪﻄﺑﺍﺭ ﻱﻭﺮﮐﺎﻣ
ﺭﺩ ﻲﮔﺪﻴﮐﻭﺮﭼ
ﺶﺨﺑ ﺖﺳﺍ ﻩﺪﺷ ﻩﺩﺎﻔﺘﺳﺍ ﻱﺪﻌﺑ ﻱﺎﻫ
، ﻱﺭﻮﻃ ﻪﺑ ﺯﺍ ﺲﭘ ﻪﮐ
ﻱﻭﺮﮐﺎﻣ ﻱﺍﺮﺟﺍ
،ﻩﺪﺷ ﺮﮐﺫ ﺭﺩ ﻲﮔﺪﻴﮐﻭﺮﭼ ﺺﺧﺎﺷ ﺮﻳﺩﺎﻘﻣ
ﻪﻄﺑﺍﺭ ) ۶ ( ﻥﺎﻤﻟﺍ ﺭﺩ ﺱﺭﺩﺁ ﻱﺎﻫ ﺷ ﻲﻫﺩ
ﻩﺪ ﻲﻟﻮﻃ ﻱﺎﺘﺳﺍﺭ ﺭﺩ
،
ﺖﺳﺍ ﻩﺪﻫﺎﺸﻣ ﻞﺑﺎﻗ .
ﻥﺎﻳﻭﺍ ﺖﺴﮑﺷ ﺭﺎﻴﻌﻣ
۴ﻣ ﺖﺳﺍ ﻩﺪﺷ ﻩﺪﻫﺎﺸ ﺪﺣ ﮓﻨﻴﻣﺮﻓﻭﺭﺪﻴﻫ ﺪﻨﻳﺁﺮﻓ ﺭﺩ ﻪﮐ
ﻡﺮﻓ ﺩﺭﺍﺩ ﻲﮕﺘﺴﺑ ﻞﮑﺷ ﺮﻴﻴﻐﺗ ﻪﭽﺨﻳﺭﺎﺗ ﻪﺑ ﻱﺮﻳﺬﭘ .
ﻦﻳﺍﺮﺑﺎﻨﺑ
ﺭﺩ ﻱﺩﺎﻬﻨﺸﻴﭘ ﺭﺎﻴﻌﻣ ﺭﺩ ﺪﻳﺎﺑ ﺶﻧﺮﮐ ﻭ ﺶﻨﺗ ﺕﺍﺮﻴﻴﻐﺗ ﻩﻮﺤﻧ ﺪﻧﻮﺷ ﻪﺘﻓﺮﮔ ﺮﻈﻧ .
ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ ﺍﻳ
ﺐﻟﺎﻄﻣ ﻦ ﻡﺮﻧ ﺖﺴﮑﺷ ﺭﺎﻴﻌﻣ ،
ﻥﺎﻳﻭﺍ ۱۰] ﺭﺩ[ ﺮﻗ ﻪﺟﻮﺗ ﺩﺭﻮﻣ ﺖﻤﺴﻗ ﻦﻳﺍ ﺖﺳﺍ ﻪﺘﻓﺮﮔ ﺭﺍ
.
ﻪﮐ ﺖﺳﺍ ﻩﺪﺷ ﻩﺩﺎﻬﻧ ﺎﻨﺑ ﺱﺎﺳﺍ ﻦﻳﺍ ﺮﺑ ﻥﺎﻳﻭﺍ ﺖﺴﮑﺷ ﺭﺎﻴﻌﻣ ﺮﻴﺛﺄﺗ ﻡﺮﻧ ﺖﺴﮑﺷ ﻉﻮﻗﻭ ﺮﺑ ﮏﻴﺗﺎﺘﺳﺍﻭﺭﺪﻴﻫ ﺶﻨﺗ ﻪﭽﺨﻳﺭﺎﺗ ﻲﻣ ﺩﺭﺍﺬﮔ
، ﺑ ﻪ ﻱﺭﻮﻃ ﺮﻳﺯ ﻪﻄﺑﺍﺭ ﻱﺭﺍﺮﻗﺮﺑ ﺕﺭﻮﺻ ﺭﺩ ﻪﮐ
ﺩﺍﺩ ﺪﻫﺍﻮﺧ ﺥﺭ ﺖﺴﮑﺷ :
) ۷ (
0 1 2
)
( C d C
f m + =
ò
e ss e
ﺭﺩ ﺍﻳ ﻦ ﻪﻄﺑﺍﺭ ef
،ﺖﺴﮑﺷ ﻝﺩﺎﻌﻣ ﺶﻧﺮﮐ sm
ﺶﻨﺗ
ﻂﺳﻮﺘﻣ
، ۵
،ﺮﺛﺆﻣ ﺶﻨﺗs ﻭ ﺮﺛﺆﻣ ﺶﻧﺮﮐe
1, 2
C C
ﺖﺑﺎﺛ ﺎﻫ ﻱ ﺪﻨﺘﺴﻫ ﻩﺩﺎﻣ .
ﻥﺎﻤﻫ ﺭﺎﻴﻌﻣ ﺖﺳﺍ ﺺﺨﺸﻣ ﻪﮐ ﺭﻮﻃ
ﺩﺎﻣ ﺖﺑﺎﺛ ﻭﺩ ﻥﺎﻳﻭﺍ ﺖﺴﮑﺷ ﻩ
1, 2) ( C C ﺩﺭﺍﺩ .
ﺝﺍﺮﺨﺘﺳﺍ ﻩﻮﺤﻧ ﺯﺍ ﻲﻫﺎﮔﺁ ﺖﺑﺎﺛ ﻭﺩ ﻦﻳﺍ ﺮﻳﺩﺎﻘﻣ
ﺯﺍ ﻩﺩﺎﻔﺘﺳﺍ ﺎﺑ
ﺎﻣﺯﺁ ﻳ ﺶ ﺎﻫ ﻱ ﻩﺩﺎﺳ ﻊﺟﺮﻣ ﻪﺑ ﻪﻌﺟﺍﺮﻣ ﺎﺑ ﻲﻳﺮﺠﺗ ۱۰]
ﻦﮑﻤﻣ[
ﻣ ﻲ ﺩﻮﺷ . ﻱﺍﺮﺑ ﺩﺎﻣ ﻩ STKM-11A ﺭﺩ ﻩﺩﺎﻔﺘﺳﺍ ﺩﺭﻮﻣ
ﻖﻴﻘﺤﺗ
ﺮﺿﺎﺣ
1 0.063, 2 0.039 C = - C =
ﻩﺪﺷ ﺵﺭﺍﺰﮔ ﺪﻧﺍ
۱۱] . [
ﺯﺍ ﺍﻳ ﻦ ﻪﻄﺑﺍﺭ ﻲﻣ ﻮﺗ ﮑﺷ ﺺﺧﺎﺷ ﻲﻓﺮﻌﻣ ﻱﺍﺮﺑ ﻥﺍ
ﺩﻮﺳ ﺖﺴ
؛ﺖﺴﺟ ﺑ ﻪ ﻱﺭﻮﻃ ﺮﻫ ﻪﮐ ﺭﺍﺪﻘﻣ ﻩﺎﮔ ) (I ﻩﺪﺷ ﻪﺋﺍﺭﺍ ﻪﻄﺑﺍﺭ ﺭﺩ
ﺪﺳﺮﺑ ﮏﻳ ﻪﺑ ﺮﻳﺯ ﺭﺩ ﺩﺍﺩ ﺪﻫﺍﻮﺧ ﺥﺭ ﺖﺴﮑﺷ ،
:
) ۸ ( s e
s
e C d
I C1 f( m )
0 1 2
+
=
ò
ﺳﺍ ﻱﺍﺮﺑ ﺍﺰﺟﺍ ﺵﻭﺭ ﺭﺩ ﻻﺎﺑ ﻪﻄﺑﺍﺭ ﺯﺍ ﻩﺩﺎﻔﺘ ﻱ
،ﺩﻭﺪﺤﻣ
ﺭﺩ ﺶﻧﺮﮐ ﻭ ﺶﻨﺗ ﻪﭽﺨﻳﺭﺎﺗ ﻥﺎﻤﻟﺍ
ﻲﻧﺎﻣﺯ ﻩﺯﺎﺑ ﺮﻫ ﺭﺩ ﺎﻫ
ﻡﺮﻓ ﺑ ﻲﻫﺩ ﻪ ﻲﻣ ﺖﺳﺩ ﺖﺴﮑﺷ ﻝﺍﺮﮕﺘﻧﺍ ﺭﺍﺪﻘﻣ ﺲﭙﺳ ،ﺪﻳﺁ
ﻧ ـ ﻡﺮ (I) ﻲﻣ ﻪﺒﺳﺎﺤﻣ ﻥﺎﻤﻟﺍ ﺮﻫ ﺭﺩ ﺩﻮﺷ
. ﻪﮐ ﻲﻣﺎﮕﻨﻫ ﺭﺍﺪﻘﻣ
ﻝﺍﺮﮕﺘﻧﺍ ﻻﺎﺑ ﺪﻴﺳﺭ ﮏﻳ ﻪﺑ
، ﻲﻣ ﺖﺴﮑﺷ ﻉﻮﻗﻭ ﺭﺎﻈﺘﻧﺍ ﺩﻭﺭ
.
ﻝﺪﻣ ﺍﺰﺟﺍ ﻱﺯﺎﺳ ﻱ
ﺩﻭﺪﺤﻣ
ﻦﻳﺍ ﺭﺩ ﺖﻤﺴﻗ ﻝﺪﻣ ﻩﻮﺤﻧ ﻪﻧﻮﻤﻧ ﮏﻳ ﻞﻴﻠﺤﺗ ﻭ ﻱﺯﺎﺳ
ﺍﺮﺑ ﻱ ﻴﺒﺷ ﻪ ﻩﺩﺎﻔﺘﺳﺍ ﺎﺑ ﮓﻨﻴﻣﺮﻓﻭﺭﺪﻴﻫ ﺪﻨﻳﺁﺮﻓ ﻱﺯﺎﺳ ﺯﺍ
ﻡﺮﻧ ﺭﺍﺰﻓﺍ ANSYS ﻲﻣ ﻪﺋﺍﺭﺍ
ﺩﻮﺷ . ﻲﺑﺎﺨﺘﻧﺍ ﻪﻧﻮﻤﻧ
، ﻥﺭﺎﻘﺗ
ﻱﺭﻮﺤﻣ ﻪﺘﺷﺍﺩ ﻭ ﺮﻈﻨﻣ ﮏﻳ ﺯﺍ ﻞﻴﻠﺤﺗ ،
ﻦﻳﺍ ﻪﻧﻮﻤﻧ ﻪﺘﺳﺩ ﺭﺩ
ﮓﻨﻴﻣﺮﻓﻭﺭﺪﻴﻫ ﻱﺎﻫﺪﻨﻳﺁﺮﻓ ﻡﻭﺩ ﻲﻣ ﺭﺍﺮﻗ ۶
ﺩﺮﻴﮔ ) ﻝﻭﺍ ﻪﺘﺳﺩ
ﺪﻨﻳﺁﺮﻓ ﮓﻨﻴﻣﺮﻓﻭﺭﺪﻴﻫ ﻱﺎﻫ Free bulging
.(
ﻭ ﻪﻟﻮﻟ ﻪﺳﺪﻨﻫ
ﻞﮑﺷ ﺭﺩ ﺐﻟﺎﻗ )
۴ ( ﺖﺳﺍ ﻩﺪﺷ ﺺﺨﺸﻣ .
ﻲﮑﻴﻧﺎﮑﻣ ﺹﺍﻮﺧ
ﻭ ﻪﻟﻮﻟ ﻩﺩﺎﻣ ﻞﻣﺍﻮﻋ
ﻝﻭﺪﺟ ﺭﺩ ﺰﻴﻧ ﻥﺁ ﻲﺳﺪﻨﻫ )
۱ ( ﻩﺪﺷ ﻪﺋﺍﺭﺍ
ﺖﺳﺍ .
ﻥﺎﻤﻟﺍ ﻝﺮﺘﻨﮐ ﺕﺭﻮﺻ ﻪﺑ ﻱﺪﻨﺑ ﻲﺘﺳﺩ ﻭ ﻩﺪﺷ
ﻡﺎﺠﻧﺍ ﻪﺘﻓﺮﮔ
ﺖﺳﺍ
، ﻱﺭﻮﻃ ﻪﺑ ﻉﺎﻄﻗ ،ﻪﻟﻮﻟ ﻥﺭﺎﻘﺘﻣ ﺖﻟﺎﺣ ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ ﻪﮐ
۱۵ ﺖﺳﺍ ﻩﺪﺷ ﻪﺘﻓﺮﮔ ﺮﻈﻧ ﺭﺩ ﻞﻴﻠﺤﺗ ﻱﺍﺮﺑ ﻥﺁ ﺯﺍ ﻪﺟﺭﺩ .
ﺎﺑ
ﻦﺘﻓﺮﮔ ﺮﻈﻧ ﺭﺩ ۴۷
ﻭ ﻪﻟﻮﻟ ﺭﻮﺤﻣ ﻱﺎﺘﺳﺍﺭ ﺭﺩ ﻢﻴﺴﻘﺗ ۵
ﻲﻄﻴﺤﻣ ﻱﺎﺘﺳﺍﺭ ﺭﺩ ﻢﻴﺴﻘﺗ
، ﻉﻮﻤﺠﻣ ﺭﺩ ۲۳۵
ﺭﺩ ﻥﺎﻤﻟﺍ
ﺖﺳﺍ ﻪﺘﻓﺮﮔ ﺭﺍﺮﻗ ﻩﺩﺎﻔﺘﺳﺍ ﺩﺭﻮﻣ ﻞﻴﻠﺤﺗ .
ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ
ﺕﺎﻈﺣﻼﻣ ﻡﺎﺠﻧﺍ
ﻞﺑﺎﻗ ﺯﺮﻃ ﻪﺑ ﻞﻴﻠﺤﺗ ﻥﺎﻣﺯ ،ﻪﺘﻓﺮﮔ
ﻪﻈﺣﻼﻣ ﻲﻣ ﺶﻫﺎﮐ ﻱﺍ ﺪﺑﺎﻳ
.
ﻞﮑﺷ ۴ : ﻪﻧﻮﻤﻧ ﻭ ﺐﻟﺎﻗ ﻱﺪﻨﺑﺮﮑﻴﭘ ﻭ ﺩﺎﻌﺑﺍ .
ﺭﻮﻈﻨﻣ ﻪﺑ ﻭﺮﮐﺎﻣ ﺖﺧﺎﺳ ...
٥٠٥
ﻝﻭﺪﺟ ۱ : ﻲﮑﻴﻧﺎﮑﻣ ﺹﺍﻮﺧ ﻭ
ﻋ ﻞﻣﺍﻮ ﻲﺳﺪﻨﻫ ﻪﻧﻮﻤﻧ .
STKM 11A ﻩﺩﺎﻣ
ﻪﻟﻮﻟ
۴۸۶ ﺶﻨﺗ
ﻢﻴﻠﺴﺗ )
Y(MPa s
۲۴۳ ﻝﻭﺪﻣ
ﮏﻴﺘﺳﻻﺍ ) (GPa E
۵ ﻝﺩﻮﻣ
ﻲﺳﺎﻤﻣ ) (GPa Et
۲۴ ﻉﺎﻌﺷ
ﻲﻠﺧﺍﺩ R(mm)
۱.۴ ﺖﻣﺎﺨﺿ
t(mm)
۲۳۵ ﻝﻮﻃ
L(mm)
ﻞﮑﺷ ﺭﺩ ) ۵ ( ﺭﺎﺑ ﺮﻴﺴﻣ ﻭﺩ ﻱﺭﺍﺬﮔ
ﻧ ﺎﻳ ﺭﺎﺸﻓ ﻝﺎﻤﻋﺍ ﻩﻮﺤ
ﻲﺒﻧﺎﺟ ﻪﻳﺬﻐﺗ ﻞﺑﺎﻘﻣ ﺭﺩ ﻲﻠﺧﺍﺩ )
ﺑﺎﺟ ﻪ ﻱﺭﻮﺤﻣ ﻲﻳﺎﺟ (
، ﺶﻳﺎﻤﻧ
ﺪﺷ ﻩﺩﺍﺩ ﻩ ﺪﻧﺍ . ﻝﻭﺍ ﺮﻴﺴﻣ ﺮﮔﺍ ،ﻲﻠﮐ ﻞﺻﺍ ﮏﻳ ﻖﺑﺎﻄﻣ
ﺭﺎﺸﻓ ﺮﺘﺸﻴﺑ ﺪﺷﺭ ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ ،ﺩﻮﺷ ﻪﺘﻓﺮﮔ ﺮﻈﻧ ﺭﺩ ﻱﺭﺍﺬﮔﺭﺎﺑ ﺑﺎﺟ ﻪﺑ ﺖﺒﺴﻧ ﻲﻠﺧﺍﺩ ﻪ
ﻩﺪﻫﺎﺸﻣ ﺭﺎﻈﺘﻧﺍ ﺪﻳﺎﺑ ،ﻱﺭﻮﺤﻣ ﻲﻳﺎﺟ
ﺍﺭ ﻲﮔﺪﻴﮐﺮﺗ
ﺖﻤﺴﻗ ﺭﺩ ﺖﺷﺍﺩ ﻪﻟﻮﻟ ﻲﻧﺎﻴﻣ ﻱﺎﻫ
. ﻪﻳﺬﻐﺗ ﺍﺮﻳﺯ
ﺖﻟﺎﺣ ﻦﻳﺍ ﺭﺩ ﻱﺭﻮﺤﻣ ﮎﺪﻧﺍ
، ﻪﺑ ﺍﺭ ﻩﺩﺎﻣ ﻥﺪﻧﺎﺳﺭ ﻥﺎﮑﻣﺍ
ﺖﻤﺴﻗ ﮎﺯﺎﻧ ﺽﺮﻌﻣ ﺭﺩ ﻲﻧﺎﻴﻣ ﻱﺎﻫ ﻲﻤﻧ ﻢﻫﺍﺮﻓ ﻲﮔﺪﺷ
ﺪﻨﮐ .
ﻱﺭﺍﺬﮔﺭﺎﺑ ﻡﻭﺩ ﺮﻴﺴﻣ ﻦﺘﻓﺮﮔ ﺮﻈﻧ ﺭﺩ ﺎﺑ ﻪﺑﺎﺸﻣ ﺭﻮﻃ ﻪﺑ ﻭ
ﺎﺑ
ﺑﺎﺟ ﺮﺘﺸﻴﺑ ﺪﺷﺭ ﻪﺑ ﻪﺟﻮﺗ ﻪ
ﺭﺎﺸﻓ ﻪﺑ ﺖﺒﺴﻧ ﻱﺭﻮﺤﻣ ﻲﻳﺎﺟ
ﻲﻠﺧﺍﺩ
، ﻧﺍ ﺖﻤﺴﻗ ﻲﺧﺮﺑ ﺭﺩ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻉﻮﻗﻭ ﺭﺎﻈﺘ ﻫ
ﻟﻮﻟ ﻱﺎ ﻪ
ﻲﻣ ﺩﻭﺭ . ﻲﻤﻧ ،ﺖﻟﺎﺣ ﺭﺩ ﮎﺪﻧﺍ ﻲﻠﺧﺍﺩ ﺭﺎﺸﻓ ﺍﺮﻳﺯ ﻊﻧﺎﻣ ﺪﻧﺍﻮﺗ
ﻲﮔﺪﻴﮐﻭﺮﭼ ﻉﻮﻗﻭ ﻡﺎﮕﻨﻫ ﻪﺑ ﻲﮔﺪﻣﺁﺮﺑ ﺩﺎﺠﻳﺍ ﺩﻮﺷ
.
ﺭﺩ ﻝﺎﮑﺷﺍ ) ۶ ﻭ ۷ (
، ﺯﺍ ﺲﭘ ﺐﻴﺗﺮﺗ ﻪﻳ ﻪﻟﻮﻟ ﻲﻳﺎﻬﻧ ﻡﺮﻓ
ﺎﺑ ﻝﺎﻤﻋﺍ ﻲﻣ ﻩﺪﻫﺎﺸﻣ ﻡﻭﺩ ﻭ ﻝﻭﺍ ﺮﻴﺴﻣ ﻱﺭﺍﺬﮔﺭ ﺩﻮﺷ
.
یراﺬﮔرﺎﺑ یﺎھ ﺮﯿﺴﻣ
0 10 20 30 40 50 60 70 80
0 5 10 15
(mm) یرﻮﺤﻣ ﯽﯾﺎﺠﺑﺎﺟ
(MPa) ﯽﻠﺧادرﺎﺸﻓ
رﻮﻈﻨﻣ ﮫﺑ مود ﺮﯿﺴﻣ ﯽﮔﺪﯿﮐﺮﺗ هﺪھﺎﺸﻣ
رﻮﻈﻨﻣ ﮫﺑ لوا ﺮﯿﺴﻣ ﯽﮔﺪﯿﮐوﺮﭼ هﺪھﺎﺸﻣ
ﻞﮑﺷ ۵ : ﻱﺭﺍﺬﮔﺭﺎﺑ ﻱﺎﻫﺮﻴﺴﻣ .
ﻞﮑﺷ ۶ : ﺎﻬﻧ ﻡﺮﻓ ﻲﻳ ﺍ ﺲﭘ ﻪﻟﻮﻟ ﻝﻭﺍ ﻉﻮﻧ ﻱﺭﺍﺬﮔﺭﺎﺑ ﻝﺎﻤﻋﺍ ﺯ .
ﻞﮑﺷ ۷ : ﺎﻬﻧ ﻡﺮﻓ ﻳ ﻡﻭﺩ ﻉﻮﻧ ﻱﺭﺍﺬﮔﺭﺎﺑ ﻝﺎﻤﻋﺍ ﺯﺍ ﺲﭘ ﻪﻟﻮﻟ ﻲ .
ﺞﻳﺎﺘﻧ ﻩﺪﻫﺎﺸﻣ ﻭ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻱﻭﺮﮐﺎﻣ ﻱﺍﺮﺟﺍ
ﺖﻤﺴﻗ ﺭﺩ ﻲﻠﺒﻗ ﻱﺎﻫ
ﺪﺷ ﻩﺭﺎﺷﺍ ﻪﮐ
ﺮﻫ ﺭﺍﺪﻘﻣ ﻩﺎﮔ
ﺺﺧﺎﺷ ) ﺮﮕﻨﻳﺎﻤﻧ ( ﻲﮔﺪﻴﮐﻭﺮﭼ ﻪﻟﻮﻟ ﺯﺍ ﻲﺘﻤﺴﻗ ﺭﺩ
ﻪﺑ ﺩﺪﻋ
ﮏﻳ ﺩﻮﺷ ﮏﻳﺩﺰﻧ
، ﻲﮔﺪﻴﮐﻭﺮﭼ ﻉﻮﻗﻭ ﺭﺎﻈﺘﻧﺍ ﺪﻳﺎﺑ ﻥﺁ ﺭﺩ ﺍﺭ
ﺖﺷﺍﺩ ﻪﻴﺣﺎﻧ .
ﺑ ﺕﺍﺭﻮﺘﺳﺩ ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ ﻪ
ﺭﺩ ﻩﺪﺷ ﻪﺘﻓﺮﮔ ﺭﺎﮐ
ﻲﮔﺪﻴﮐﻭﺮﭼ ﻱﻭﺮﮐﺎﻣ
، ﺺﺧﺎﺷ ﺭﺍﺪﻘﻣ )
ﺮﮕﻧﺎﻳﺎﻤﻧ ( ﻲﮔﺪﻴﮐﻭﺮﭼ
ﻥﺎﻤﻟﺍ ﺭﺩ ،ﻪﻟﻮﻟ ﻲﻟﻮﻃ ﻱﺎﺘﺳﺍﺭ ﻩﺪﺷ ﻪﺘﻓﺮﮔ ﺮﻈﻧ ﺭﺩ ﻱﺎﻫ
ﻲﻣ ﻪﺒﺳﺎﺤﻣ ﺩﻮﺷ
. ﻦﻴﻤﻫ ﺺﺧﺎﺷ ﻦﻳﺍ ﺮﺜﮐﺍﺪﺣ ﺮﻳﺩﺎﻘﻣ ﺭﻮﻃ ﺎﻫ
ﺭﺩ ﻩﺯﺎﺑ ﻱﺎﻫ ﺮﻴﻴﻐﺗ ﻲﻧﺎﻣﺯ ﻪﻟﻮﻟ ﻡﺮﻓ
ﺺﺨﺸﻣ ﻣ ﻲ ﺩﻮﺷ .
ﻞﮑﺷ ﺭﺩ ) ۸ ( ﺺﺧﺎﺷ ﺮﻳﺩﺎﻘﻣ ﻥﺎﻤﻟﺍ ﺭﺩ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻱﺎﻫ
ﻲﻣ ﻩﺪﻫﺎﺸﻣ ﺯﺍ ﺲﭘ ﻱﺭﺍﺬﮔﺭﺎﺑ ﻝﻭﺍ ﺮﻴﺴﻣ ﺏﺎﺨﺘﻧﺍ ﺎﺑ ﻪﮐ ﺩﻮﺷ
ﻱﻭﺮﮐﺎﻣ ﻱﺍﺮﺟﺍ ﻩﺪﺷ ﺵﺭﺍﺰﮔ ﻩﺪﺷﺮﮐﺫ
ﺪﻧﺍ . ﻲﻣ ﻪﻈﺣﻼﻣ ﺩﻮﺷ
ﺮﻳﺩﺎﻘﻣ ﻪﮐ ﺺﺧﺎﺷ
ﻱﺎﻫ ﻲﺧﺮﺑ ﺭﺩ ﻲﮔﺪﻴﮐﻭﺮﭼ ﺯﺍ
ﻥﺎﻣﺯ ﺎﻫ ﺯﺍ
ﺯﻭﺎﺠﺗ ﮏﻳ ﺭﺍﺪﻘﻣ ﻩﺩﺮﮐ
ﺖﺳﺍ . ﻱﺎﻨﻌﻣ ﻪﺑ ﻉﻮﺿﻮﻣ ﻦﻳﺍ
ﺶﻴﭘ ﻲﻨﻴﺑ ﻉﻮﻗﻭ ﺮﻴﻴﻐﺗ ﻩﻮﺤﻧ ﺎﺑ ﻖﺑﺎﻄﺗ ﺭﺩ ﻭ ﻲﮔﺪﻴﮐﻭﺮﭼ
ﻞﮑﺷ ﻩﺪﻫﺎﺸﻣ ﺭﺩ ﻩﺪﺷ ﻪﻟﻮﻟ ) ﻞﮑﺷ ۶ ( ﺖﺳﺍ ﺏﺎﺨﺘﻧﺍ ﺎﺑ ﻪﮐ
٥٠٦ ﻲﻨﻓ ﻩﺪﮑﺸﻧﺍﺩ ﻪﻳﺮﺸﻧ
, ﻩﺭﻭﺩ ٤٣ , ﻩﺭﺎﻤﺷ ٤ ﻩﺎﻣ ﺭﻮﻳﺮﻬﺷ ، ١٣٨٨
ﻱﺍﺮﺑ ﻝﻭﺍ ﺮﻴﺴﻣ ﻱﺭﺍﺬﮔﺭﺎﺑ
ﻞﺻﺎﺣ ﻩﺪﺷ ﺖﺳﺍ . ﺍﺮﺑ ﻱ ﻲﺳﺭﺮﺑ
ﺘﺳﺭﺩ ﻲ ﻱﻭﺮﮐﺎﻣ ﺩﺮﮑﻠﻤﻋ ﺶﻴﭘ ﺭﺩ ﻻﺎﺑ
،ﻲﮔﺪﻴﮐﻭﺮﭼ ﻲﻨﻴﺑ
ﻞﻴﻠﺤﺗ ﺭﺩ ﺰﻴﻧ ﻱﺭﺍﺬﮐﺭﺎﺑ ﻡﻭﺩ ﺮﻴﺴﻣ
، ﻲﺑﺎﻳﺯﺭﺍ ﻩﺪﺷ ﺖﺳﺍ .
ﻥﺎﻤﻫ ﻞﮑﺷ ﺭﺩ ﻪﮐ ﺭﻮﻃ )
۹ ( ﻈﺣﻼﻣ ﻲﻣ ﻪ ﺖﻟﺎﺣ ﻦﻳﺍ ﺭﺩ ﺩﻮﺷ
،
ﺮﻳﺩﺎﻘﻣ ﺺﺧﺎﺷ ﻱﺎﻫ ﺯﺍ ﺮﺘﻤﮐ ﻲﮔﺪﻴﮐﻭﺮﭼ ﺪﻨﺘﺴﻫ ﮏﻳ ﺭﺍﺪﻘﻣ
) ﺮﺜﮐﺍﺪﺣ ۰.۸۶ (.
ﻉﻮﺿﻮﻣ ﻦﻳﺍ ﺰﻴﻧ
ﺺﺨﺸﻣ ﻣ ﻲ ﺪﻨﮐ ﺭﺩ ﻪﮐ
ﻞﮑﺷ ﺭﺩ ﻪﻟﻮﻟ ﻡﺮﻓ ﺮﻴﻴﻐﺗ ﻩﻮﺤﻧ ﺎﺑ ﺖﻘﺑﺎﻄﻣ )
۷ (
، ﺭﺎﻈﺘﻧﺍ ﺪﻳﺎﺒﻧ
ﻡﻭﺩ ﻉﻮﻧ ﻱﺭﺍﺬﮔﺭﺎﺑ ﺭﺩ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻉﻮﻗﻭ ﺍﺭ
ﺖﺷﺍﺩ .
ﻩﺪﻫﺎﺸﻣ ﻭ ﻥﺎﻳﻭﺍ ﺖﺴﮑﺷ ﻱﻭﺮﮐﺎﻣ ﻱﺍﺮﺟﺍ
ﺞﻳﺎﺘﻧ
ﻪﺋﺍﺭﺍ ﺖﺴﮑﺷ ﻱﻭﺮﮐﺎﻣ ﺪﺷ
ﻐﺘﻣ ﻭﺩ ،ﺖﻤﺴﻗ ﻦﻳﺍ ﺭﺩ ﻩ ﺮﻴ
ﺭﺎﻴﺘﺧﺍ ﻣ ﻲ ﻩﺯﺎﺑ ﺭﺩ ﻭ ﺪﻨﮐ ﺮﻳﺩﺎﻘﻣ ،ﺪﻨﻳﺁﺮﻓ ﻞﺣ ﻲﻧﺎﻣﺯ ﻱﺎﻫ
ﺖﺑﺎﺛ
2 1,C ﻪﺑ ﺍﺭ C ﻐﺘﻣ ﻦﻳﺍ ﻪﺑ ﺐﻴﺗﺮﺗ ﺹﺎﺼﺘﺧﺍ ﺎﻫﺮﻴ
ﻲﻣ ﺪﻫﺩ . ﺮﺛﺆﻣ ﺶﻨﺗ ﻭ ﮏﻴﺗﺎﺘﺳﺍﻭﺭﺪﻴﻫ ﺶﻨﺗ ﺮﻳﺩﺎﻘﻣ ﺖﻓﺎﻳﺭﺩ
ﻥﺎﻤﻟﺍ ﺭﺩ ﻴﻴﻌﺗ ﻱﺎﻫ ﻦ ﻩﺪﺷ
، ﺮﮕﻳﺩ ﺶﺨﺑ ﻱ
ﺮﮑﻠﻤﻋ ﺯﺍ ﻦﻳﺍ ﺩ
ﻭﺮﮐﺎﻣ ﺖﺳﺍ . ﺕﺎﻴﻠﻤﻋ ﻡﺎﺠﻧﺍ ﺎﺑ ﺮﻳﺩﺎﻘﻣ ،ﻡﺯﻻ ﻱﺮﺒﺟ ﻱﺎﻫ
ﺺﺧﺎﺷ ﻫ ﻦﻴﻴﻌﺗ ﻥﺎﻤﻟﺍ ﺮﻫ ﺭﺩ ﻥﺎﻳﻭﺍ ﺖﺴﮑﺷ ﻱﺎ
ﻭ ﻩﺪﺷ
ﻩﺮﻴﺧﺫ ﻣ ﻲ ﺩﻮﺷ .
ﭘ ﻞﺣ ﺯﺍ ﺲ ﻪﺘﻓﺮﮔ ﺮﻈﻧ ﺭﺩ ﺪﻨﻳﺁﺮﻓ ﻪﻴﻟﻭﺍ
ﻩﺪﺷ
، ﻦﺘﻣ
ﻪﺘﺷﻮﻧ ﻥﺎﻳﻭﺍ ﺖﺴﮑﺷ ﻱﻭﺮﮐﺎﻣ ﺍﺭ ﻩﺪﺷ
ﻡﺮﻧ ﻱﺩﻭﺭﻭ ﺭﺍﻮﻧ ﺭﺩ ﺭﺍﺰﻓﺍ
ANSYS ﺶﺨﺑ ﺭﺩ ﺎﻳ
Session Editor ﻲﻣ
ﺗ ﻥﺍﻮ ﺩﺮﮐ ﻲﭙﮐ ﻩ
ﺍﺮﺟﺍ ﻭ ﺩﺮﮐ . ﺎﺑ ﺍ ﻡﺮﻧ ﻂﺳﻮﺗ ﻭﺮﮐﺎﻣ ﻦﺘﻣ ﻥﺪﻧﺍﻮﺧ ﻡﺎﻤﺗ ،ﺭﺍﺰﻓﺍ
ﻥﺎﻳﻭﺍ ﻝﺍﺮﮕﺘﻧﺍ ﺭﺍﺪﻘﻣ ﺕﺍﺮﻴﻴﻐﺗ ﻝﻭﺪﺟ ﻲﻧﺍﺮﺤﺑ ﻥﺎﻤﻟﺍ ﺭﺩ (I)
ﻲﻣ ﻩﺩﺍﺩ ﺶﻳﺎﻤﻧ ﻞﺣ ﻥﺎﻣﺯ ﺎﺑ ﺭﺍﺪﻘﻣ ﻦﻳﺍ ﺕﺍﺮﻴﻴﻐﺗ ﻭ ﺩﻮﺷ
ﺺﺨﺸﻣ ﺪﻨﻳﺁﺮﻓ ﻣ
ﻲ ﺩﻮﺷ . ﺭﺍﺪﻘﻣ ﺕﺍﺮﻴﻴﻐﺗ ﻑﺍﺮﮔ ﻦﻴﻨﭽﻤﻫ
ﻝﺍﺮﮕﺘﻧﺍ ﺩI ﻥﺎﻣﺯ ﻝﻮﻃ ﺭ ﻧﻴ
ﺰ ﻲﻣ ﻩﺩﺍﺩ ﺶﻳﺎﻤﻧ ﺷ
ﺩﻮ .
ﻞﮑﺷ ۸ : ﻝﻭﺍ ﻉﻮﻧ ﻱﺭﺍﺬﮔﺭﺎﺑ ﺭﺩ ﻲﮔﺪﻴﮐﻭﺮﭼ ﺮﮕﻨﻳﺎﻤﻧ ﺮﻳﺩﺎﻘﻣ .
ﺭﻮﻈﻨﻣ ﻪﺑ ﻭﺮﮐﺎﻣ ﺖﺧﺎﺳ ...
٥٠٧
ﻞﮑﺷ ۹ : ﻭﺩ ﻉﻮﻧ ﻱﺭﺍﺬﮔﺭﺎﺑ ﺭﺩ ﻲﮔﺪﻴﮐﻭﺮﭼ ﺮﮕﻨﻳﺎﻤﻧ ﺮﻳﺩﺎﻘﻣ ﻡ
.
ﻝﺎﺣ ﺮﮔﺍ ﻱﺭﺍﺬﮔﺭﺎﺑ ﻡﻭﺩ ﺮﻴﺴﻣ ،ﺩﻮﺷ ﻪﺘﻓﺮﮔ ﺮﻈﻧ ﺭﺩ
ﻭﺮﮐﺎﻣ ﻱﺍﺮﺟﺍ ﺯﺍ ﻞﺻﺎﺣ ﺞﻳﺎﺘﻧ ﻱ
ﺍﺭ ﻲﮔﺪﻴﮐﺮﺗ ﻉﻮﻗﻭ ،ﻻﺎﺑ
ﺶﻴﭘ ﻲﻣ ﻲﻨﻴﺑ ﺪﻨﮐ .
ﺭﺩ ﻝﻭﺪﺟ ) ۲ ( ﺮﻴﻴﻐﺗ ﻥﺎﻣﺯ ﺎﺑ ﻥﺎﻳﻭﺍ ﻝﺍﺮﮕﺘﻧﺍ ﺭﺍﺪﻘﻣ ﺕﺍ
ﻲﻧﺍﺮﺤﺑ ﻥﺎﻤﻟﺍ ﻱﺍﺮﺑ )118
ﻥﺎﻤﻟﺍ ﻲﻧﺎﻴﻣ ﻲﻟﻮﻃ ﻱﺎﺘﺳﺍﺭ ﺭﺩ (
،
ﭘ ﻲﻣ ﻩﺪﻫﺎﺸﻣ ﻭﺮﮐﺎﻣ ﻦﻳﺍ ﻱﺍﺮﺟﺍ ﺯﺍ ﺲ ﺩﻮﺷ
. ﻦﻴﻤﻫ ﺭﺩ ﺭﻮﻃ
ﻞﮑﺷ ) ۱۰ ( ﻩﺩﺍﺩ ﻦﻳﺍ ﻪﺑ ﺎﻫ ﺭﺩ ﺶﻳﺎﻤﻧ ﻪﺑ ﻑﺍﺮﮔ ﻞﮑﺷ
ﻩﺪﻣﺁ ﺪﻧﺍ . ﻦﻳﺍ ﺮﺑ ﻩﻭﻼﻋ
، ﺲﭘ ﺯﺍ ﻱﺍﺮﺟﺍ ﺍﻳ ﻦ ﻭﺮﮐﺎﻣ ﺮﺑﺭﺎﮐ ،
ﻲﻣ ﻮﻨﻣ ﻪﺑ ﻪﻌﺟﺍﺮﻣ ﺎﺑ ﺪﻧﺍﻮﺗ ﻱ
TimeHistory
، ﺮﺜﮐﺍﺪﺣ ﺮﻳﺩﺎﻘﻣ
ﻝﺍﺮﮕﺘﻧﺍ ﻞﻗﺍﺪﺣ ﻭ ﻥﺎﻤﻟﺍ ﺭﺩ ﺍﺭ(I)
ﻫﺎ ﻭ ﻪﻈﺣﻼﻣ ﺰﻴﻧ ﺮﮕﻳﺩ ﻱ
ﻢﺳﺭ ﺍﺭ ﻥﺁ ﻑﺍﺮﮔ ﺯﺎﻴﻧ ﺕﺭﻮﺻ ﺭﺩ ﺪﻨﮐ
) ﻞﮑﺷ ۱۱ .(
ﻥﺎﻤﻫ ﻝﻭﺪﺟ ﺭﺩ ﻪﮐ ﺭﻮﻃ )
۲ ( ﺺﺨﺸﻣ
،ﺖﺳﺍ ﻩﺪﺷ ﺭﺩ
ﻝﺍﺮﮕﺘﻧﺍ ﺭﺍﺪﻘﻣ ﻪﻠﺌﺴﻣ ﻞﺣ ﻥﺎﻣﺯ ﻱﺎﻬﺘﻧﺍ ﻥﺎﻳﻭﺍ
ﻥﺎﻤﻟﺍ ﺭﺩ
ﺮﺑﺍﺮﺑ ﻲﻧﺎﻴﻣ ﺖﺳﺍ0.99
. ﻳﺪﺑ ﻉﻮﺿﻮﻣ ﻦﻳﺍ ﺭﺩ ﻪﮐ ﺖﺳﺍ ﻲﻨﻌﻣ ﻦ
ﻱﺭﺍﺬﮔﺭﺎﺑ ﻪﻣﺍﺩﺍ ﺕﺭﻮﺻ
، ﺯﺍ ﺭﺍﺪﻘﻣ ﻦﻳﺍ ۱
ﺩﺮﮐ ﻲﻄﺨﺗ ﻩ
ﻭ
ﺩﺍﺩ ﺪﻫﺍﻮﺧ ﺥﺭ ﺖﺴﮑﺷ .
ﭻﻴﻫ ﻥﺎﮑﻣﺍ ﺮﮕﻳﺩ ﺕﺭﺎﺒﻋ ﻪﺑ
ﻪﻧﻮﮔ
ﻱﺭﺍﺬﮔﺭﺎﺑ ﻱﺮﺘﺸﻴﺑ ﺍﺮﺑ ﻱ ﻞﮑﺷ ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ ﻪﻟﻮﻟ ﺮﺘﺸﻴﺑ ﻲﻫﺩ
ﻩﺪﺷ ﺏﺎﺨﺘﻧﺍ ﻱﺭﺍﺬﮔﺭﺎﺑ ﺮﻴﺴﻣ )
ﻡﻭﺩ ﺮﻴﺴﻣ (
ﺩﺭﺍﺪﻧ ﺩﻮﺟﻭ .
ﺻﺎﺣ ﺞﻳﺎﺘﻧ ﻩﺪﻫﺎﺸﻣ ﺯﺍ ﺲﭘ ﺎﻬﻨﺗ ﺕﻭﺎﻀﻗ ﻦﻳﺍ ــ
ﻞ ﺟﺍ ﺯﺍ ــ ﻱﺍﺮ
ﻝﻭﺪﺟ ۲ : ﻝﺍﺮﮕﺘﻧﺍ ﺭﺍﺪﻘﻣ ﻲﻧﺍﺮﺤﺑ ﻥﺎﻤﻟﺍ ﺭﺩ ﻥﺎﻳﻭﺍ
.
٥٠٨ ﻲﻨﻓ ﻩﺪﮑﺸﻧﺍﺩ ﻪﻳﺮﺸﻧ
, ﻩﺭﻭﺩ ٤٣ , ﻩﺭﺎﻤﺷ ٤ ﻩﺎﻣ ﺭﻮﻳﺮﻬﺷ ، ١٣٨٨
ﻞﺻﺎﺣ ﻥﺎﻳﻭﺍ ﻱﻭﺮﮐﺎﻣ ﯽﻣ
؛ﺩﻮﺷ ﻪﺑ ﻱﺭﻮﻃ ﻱﺩﺪﻋ ﻞﺣ ﺭﺩ ﻪﮐ
ﺑ ﻡﺮﻧ ﻪﻠﻴﺳﻭ ﻪ ﺭﺍﺰﻓﺍ
، ﺑﺎﺟ ﻭ ﺭﺎﺸﻓ ﺭﺍﺪﻘﻣ ﺶﻳﺍﺰﻓﺍ ﺎﺑ ﻪ
ﻲﻳﺎﺟ
ﻱﺭﻮﺤﻣ
، ﻡﺮﻧ ﻂﺳﻮﺗ ﻪﻠﺌﺴﻣ ﻞﺣ ﻲﻣ ﺍﺪﻴﭘ ﻪﻣﺍﺩﺍ ﺭﺍﺰﻓﺍ
ﻭ ﺪﻨﮐ
ﻡﺮﻓ ﻞﺻﺎﺣ ﻱﺮﺘﺸﻴﺑ ﻲﻫﺩ ﯽﻣ
،ﺩﻮﺷ ﻦﻳﺍ ﺯﺍ ﺮﺑﺭﺎﮐ ﺎﻣﺍ ﻪﺘﮑﻧ
ﻞﻓﺎﻏ ﺖﺳﺍ ﻪﮐ ﺭﺎﺸﻓ ﺭﺩ (Mpa) ۸۲.۵ ﺥﺭ ﺖﺴﮑﺷ ﻭ ﻩﺩﺍﺩ
ﻡﺮﻓ ﻭ ﺶﻧﺮﮐ ﻭ ﺶﻨﺗ ﺮﻳﺩﺎﻘﻣ ﻥﺎﻣﺯ ﺭﺩ ﻪﻟﻮﻟ ﻱﺮﻳﺬﭘ
ﺮﺗﻻﺎﺑ ﻱﺎﻫ
ﺖﺳﺍ ﻲﻌﻗﺍﻭ ﺮﻴﻏ .
ﻞﮑﺷ ۱۰ : ﺕﺍﺮﻴﻴﻐﺗ ﻑﺍﺮﮔ ﻝﺍﺮﮕﺘﻧﺍ
ﻧﺍﺮﺤﺑ ﻥﺎﻤﻟﺍ ﺭﺩ ﻥﺎﻳﻭﺍ ﻲ
.
ﻪﺠﻴﺘﻧ ﻱﺮﻴﮔ
ﺭﺩ ﺍﻳ ﻦ ﻪﻌﻟﺎﻄﻣ
، ﺩﺮﮑﻠﻤﻋ ﻭ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻱﺎﻫﻭﺮﮐﺎﻣ
ﻪﺋﺍﺭﺍ ﺖﺴﮑﺷ ﺳﺭﺮﺑ ﺩﺭﻮﻣ ﻩﺪﺷ
ﺖﺳﺍ ﻪﺘﻓﺮﮔ ﺭﺍﺮﻗ ﻲ .
ﺖﻤﺴﻗ ﺭﺩ
ﻲﻳﺍﺪﺘﺑﺍ
، ﺡﺮﻄﻣ ﺯﺍ ﺲﭘ ﻥﺪﺷ
ﻪﻄﺑﺍﺭ ﻱﺍ ﻱﺍﺮﺑ ﺶﻨﺗ ﺭﺍﺪﻘﻣ
ﺼﺧﺎﺷ ﺝﺍﺮﺨﺘﺳﺍ ﻭ ﻲﻧﺍﺮﺤﺑ ﻱﺭﺎﺸﻓ ﻱﺍﺮﺑ ﻲ
،ﻲﮔﺪﻴﮐﻭﺮﭼ
ﻥﺎﻳﻭﺍ ﻡﺮﻧ ﺖﺴﮑﺷ ﺭﺎﻴﻌﻣ ﺖﺴﮑﺷ ﺺﺧﺎﺷ ﻭ
ﻲﻓﺮﻌﻣ ﺪﺷ . ﺎﺑ
ﻦﺘﺷﺍﺩ ﺭﺎﻴﺘﺧﺍ ﺭﺩ ﺍﻳ
ﻦ ﻂﺑﺍﻭﺭ ﺖﺧﺎﺳ ﻭ ﻱﺎﻫﻭﺮﮐﺎﻣ
ﺖﺴﮑﺷ ﻭ ﻲﮔﺪﻴﮐﻭﺮﭼ
،ﻥﺎﻳﻭﺍ ﺪﺘﺑﺍ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻱﻭﺮﮐﺎﻣ ﺍ
ﺘﺧﺎﺳ ﻪ ﻣ ﻱﺭﺍﺬﮔﺭﺎﺑ ﺮﻴﺴﻣ ﻭﺩ ﺭﺩ ﻩﺪﺷ ﺺﺨﺸ
ﺭﺎﮐ ﻪﺑ ﻩﺪﺷ
ﻩﺪﺷ ﻪﺘﻓﺮﮔ ﺪﻧﺍ
. ﺺﺧﺎﺷ ﻪﺋﺍﺭﺍ ﻭﺩ ﺮﻫ ﺭﺩ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻱﺎﻫ
ﺖﻟﺎﺣ
، ﻱﻭﺮﮐﺎﻣ ﻱﻻﺎﺑ ﻲﻳﺎﻧﺍﻮﺗ ﻭ ﺩﺮﮑﻠﻤﻋ ﺯﺍ ﻲﮐﺎﺣ ﻩﺪﺷﺮﮐﺫ
ﺶﻴﭘ ﻭ ﺺﻴﺨﺸﺗ ﺭﺩ
؛ﺖﺳﺍ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻲﻨﻴﺑ ﻱﺭﻮﻃ ﻪﺑ
ﻪﮐ
ﻱﺭﺍﺬﮔﺭﺎﺑ ﻝﻭﺍ ﺮﻴﺴﻣ ﺭﺩ ﺺﺧﺎﺷ ،
ﺮﻳﺩﺎﻘﻣ ﺎﺑ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻱﺎﻫ
ﺰﺑ ﺯﺍ ﮒﺭ ۱ ﻩﺪﺷ ﺵﺭﺍﺰﮔ ﻲﻟﺎﺣ ﺭﺩ،ﺪﻧﺍ
ﻡﻭﺩ ﺮﻴﺴﻣ ﺭﺩ ﻪﮐ
ﻥﺎﻤﻫ ،ﻡﻭﺩ ﻱﺭﺍﺬﮔﺭﺎﺑ ﻲﻣ ﺭﺎﻈﺘﻧﺍ ﻪﮐ ﻪﻧﻮﮔ
ﻦﻳﺍ ،ﺖﻓﺭ
ﺺﺧﺎﺷ ﺯﺍ ﺮﺘﻤﮐ ﺮﻳﺩﺎﻘﻣ ﺎﻫ ۱
ﺍﺭ ﺩﻮﺧ ﻪﺑ ﺍ ﻲﻣ ﺹﺎﺼﺘﺧ ﺪﻨﻫﺩ
.
ﻞﮑﺷ ۱۱ : ﻲﻟﻮﻃ ﺭﻮﺤﻣ ﻱﺎﺘﺳﺍﺭ ﺭﺩ ﺎﻫ ﻥﺎﻤﻟﺍ ﺖﻴﻌﻗﻮﻣ ﻪﺟﻮﺗ ﺎﺑ ﻥﺎﻳﻭﺍ ﻝﺍﺮﮕﺘﻧﺍ ﺮﻳﺩﺎﻘﻣ ﺮﻴﻴﻐﺗ .
ﺭﻮﻈﻨﻣ ﻪﺑ ﻭﺮﮐﺎﻣ ﺖﺧﺎﺳ ...
٥٠٩
ﺶﻴﭘ ﻱﻭﺮﮐﺎﻣ ﻱﺍﺮﺟﺍ ﺯﺍ ﺲﭘ ﻨﻴﺑ
ﻲ ﺖﺴﮑﺷ ﻩﺪﻨﻨﮐ ﺍ
ﻥﺎﻳﻭ ﺭﺩ
ﻦﻳﺍ ﺮﮕﻳﺩ ﺶﺨﺑ ﻖﻴﻘﺤﺗ
ﻞﺻﺎﺣ ﻲﻬﺟﻮﺗ ﻞﺑﺎﻗ ﺞﻳﺎﺘﻧ ،ﺮﻴﻧ
ﺪﺷ . ﻱﺭﻮﻃ ﻪﺑ ﻪﮐ
ﻪﻠﺌﺴﻣ ﻞﺣ ﻥﺎﻣﺯ ﻱﺎﻬﺘﻧﺍ ﺭﺩ )
ﺭﺩ ﺮﻴﺴﻣ
ﻡﻭﺩ ﻱﺭﺍﺬﮔﺭﺎﺑ (
ﻝﺍﺮﮕﺘﻧﺍ ﺭﺍﺪﻘﻣ ﻥﺎﻳﻭﺍ
ﺮﺑﺍﺮﺑ ﻲﻧﺎﻴﻣ ﻥﺎﻤﻟﺍ ﺭﺩ
۰.۹۹ ﺕﺭﻮﺻ ﺭﺩ ﻪﮐ ﺖﺳﺍ ﻲﻨﻌﻣ ﻦﻳﺪﺑ ﻉﻮﺿﻮﻣ ﻦﻳﺍ ﻭ ﺖﺳﺍ
ﻱﺭﺍﺬﮔﺭﺎﺑ ﻪﻣﺍﺩﺍ
، ﺯﺍ ﺭﺍﺪﻘﻣ ﻦﻳﺍ ۱
ﺩﺮﮐ ﻲﻄﺨﺗ ﻩ
ﺎﻈﺘﻧﺍ ﺪﻳﺎﺑ ﻭ ﺭ
ﻢﻴﺷﺎﺑ ﻪﺘﺷﺍﺩ ﺖﺴﮑﺷ .
ﻒﻗﻮﺗ ﻱﺍﺮﺑ ﻱﺭﺍﺪﺸﻫ ﻉﻮﺿﻮﻣ ﻦﻳﺍ
ﻱﺭﺍﺬﮔﺭﺎﺑ ﻝﺎﻤﻋﺍ ﯼﺍﺮﺑ
ﻪﻌﻄﻗ ﺪﻴﻟﻮﺗ ﻭ ﻲﮔﺪﻴﮐﺮﺗ ﺯﺍ ﻱﺮﻴﮔﻮﻠﺟ
ﺖﺳﺍ ﺏﻮﻴﻌﻣ .
ﺕﻭﺎﻀﻗ ﻦﻳﺍ ﻂﻘﻓ
ﺞﻳﺎﺘﻧ ﻩﺪﻫﺎﺸﻣ ﺯﺍ ﺲﭘ
ﻱﺍﺮﺟﺍ ﺯﺍ ﻞﺻﺎﺣ ﻞﺻﺎﺣ ﻥﺎﻳﻭﺍ ﻱﻭﺮﮐﺎﻣ
ﯽﻣ ﺩﻮﺷ .
ﺺﺧﺎﺷ ﺯﺍ ﻪﮐ ﺖﺳﺍ ﻲﻬﻳﺪﺑ ﻲﮔﺪﻴﮐﺮﺗ ﻭ ﻲﮔﺪﻴﮐﻭﺮﭼ ﻱﺎﻫ
ﻪﺋﺍﺭﺍ ﺎﺠﻨﻳﺍ ﺭﺩ ﻩﺪﺷ )
ﻲﺟﻭﺮﺧ ﻩﺪﺷ ﻪﺋﺍﺭﺍ ﻱﺎﻫﺪﮐ ﻱﺎﻫ (
،
ﻲﻣ ﺖﺴﺟ ﺩﻮﺳ ﻱﺭﺍﺬﮔﺭﺎﺑ ﻪﻨﻴﻬﺑ ﺮﻴﺴﻣ ﻦﻴﻴﻌﺗ ﻱﺍﺮﺑ ﻥﺍﻮﺗ .
ﺑ ﻪ
ﻱﺭﻮﻃ ﺺﺧﺎﺷ ﻦﻳﺍ ﺮﻳﺩﺎﻘﻣ ﺯﺍ ﻪﮐ ﻥﺍﺰﻴﻣ ﻦﻴﻴﻌﺗ ﻱﺍﺮﺑ ﺎﻫ
ﻪﺑ ﻞﻴﻠﺤﺗ ﺭﺩ ﻲﺒﻧﺎﺟ ﻪﻳﺬﻐﺗ ﻭ ﺭﺎﺸﻓ ﻪﻠﺣﺮﻣ ﻪﺑ ﻪﻠﺣﺮﻣ ﺶﻳﺍﺰﻓﺍ ﺍﺰﺟﺍ ﺵﻭﺭ ﯼ
ﻩﺩﺎﻔﺘﺳﺍ ﺩﻭﺪﺤﻣ ﺩﺮﮐ
. ﻦﻳﺍ ﻉﻮﺿﻮﻣ ﻡﺰﻠﺘﺴﻣ
ﺤﻣ ﺭﺩ ﻲﺴﻳﻮﻧﺪﮐ ﻡﺮﻧ ﻂﻴ
ﺭﺩ ﻪﮐ ﺖﺳﺍ ﺭﺍﺰﻓﺍ ﻪﺑ ﺮﺠﻨﻣ ﺖﻳﺎﻬﻧ
ﺍﺭﺍ ﻡﺮﻧ ﻂﺳﻮﺗ ﻱﺭﺍﺬﮔﺭﺎﺑ ﻪﻨﻴﻬﺑ ﺮﻴﺴﻣ ﻪﺋ ﺪﻫﺍﻮﺧ ﺭﺍﺰﻓﺍ
ﺪﺷ . ﻦیﺍ
ﻲﻣ ﻉﻮﺿﻮﻣ ﺖﻴﻟﺎﻌﻓ ﺭﺩ ﺪﻧﺍﻮﺗ
ﻱﺎﻫ ﺁﻳ ﻩﺪﻨ ﺭﺍﺮﻗ ﻪﺟﻮﺗ ﺩﺭﻮﻣ
ﺩﺮﻴﮔ .
ﻊﺟﺍﺮﻣ
1 - Zhang, S. H. (1999). “Developments in hydroforming.” Journal of Materials Processing Technology, .Vol.
91, PP. 236-244.
2 - Dohmanna, F. and Hartl, Ch. (2004). “Hydroforming-applications of coherent FE-simulations to the development of products and processes.” Journal of Materials Processing Technology.,Vol. 150, PP. 18–24.
3 - Swift, H. W. (1952). “Plastic instability under plane stress.” J. Mech. Phys,.Vol.1, PP.1–18.
4 - Hill, R. (1958). “A general theory of uniqueness and stability in elastic–plastic solids.” J. Mech. Phys,.Vol. 6, PP. 236–249.
5 - Xing, H. L. and Makinouchi, A. (2001). “Numerical analysis and design for tubular hydroforming.” Int. J.
Mech. Sci, Vol. 43, PP.1009–1026.
6 - Chow, C.L. and Yang, X. J. (2002). “Bursting for fixed tubular and restrained hydroforming.” J. Mater.
Process. Technol,. Vol .130–131,PP. 107–114.
7 - Xia, Z. C. (2001). “Failure analysis of tubular hydroforming.” J. Eng. Mater. Technol. Vol. 123, PP. 423–
429.
8 - Lei, L.P., Kang, B. S. and Kang, S. J. (2001) .”Prediction of the forming limit in hydroforming processes using the finite element method and a ductile fracture criterion.” J Mater Process Technol, Vol. 113, PP. 673–
679.
9 - Chu, E. and. Xu, Y. (2004). “Hydroforming of aluminum extrusion tubes for automotive applications. Part I:
buckling, wrinkling and bursting analyses of aluminum tubes.” International Journal of Mechanical Sciences., Vol. 46, PP. 263–283.
10 - Oyane, M., Sota, T., Okintoto, K. and Shima, S. (1980). “Criteria for ductile fractures and their applications.” J. Mech. Work Tech,. Vol. 4,PP. 65–81.
11 - Kim, J., Kang, S. J. and Kang, B. S. (2003). “A prediction of bursting failure in tube hydroforming processes based on ductile fracture criterion.” Int. J. Adv., Manuf Technology., Vol 22, PP. 357–362.
ﻦﺘﻣ ﺭﺩ ﻩﺩﺎﻔﺘﺳﺍ ﺐﻴﺗﺮﺗ ﻪﺑ ﻲﺴﻴﻠﮕﻧﺍ ﻱﺎﻫ ﻩﮊﺍﻭ
1 - Ansys Parametric Design Language(APDL) 2 - Diffuse necking criterion
3 - Bursting 4 - Oyane
5 - Mean Stress 6 - Calibration Process