Nonlinear Analysis Control

 

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´ëº¯ÇüÀ» °í·ÁÇÑ ±âÇϺñ¼±Çü Çؼ®À» ¼öÇàÇϴµ¥ ÇÊ¿äÇÑ ¹Ýº¹Çؼ®(iteration) ¹æ¹ý°ú ¼ö·ÅÁ¶°ÇÀ» Á¤ÀÇÇÕ´Ï´Ù.

±âÇϺñ¼±Çü Çؼ®Àº ÀÏ¹Ý Á¤ÀûÇؼ®°ú ÀϺΠ½Ã°ø´Ü°èÇؼ®¿¡ Àû¿ë °¡´ÉÇϸç, Àç·áºñ¼±Çü Çؼ®Àº Á¤ÀûÇؼ®¿¡¸¸ Àû¿ë °¡´ÉÇÕ´Ï´Ù.

Çؼ®¿¡ ¾Õ¼­ Loading Sequence for Nonlinear Analysis¿¡¼­ Çؼ®¿¡ Àû¿ëµÈ ÇÏÁßÀÇ ÀÛ¿ë¼ø¼­¸¦ ÁöÁ¤ÇÑ ÈÄ, Nonlinear Analysis Control¿¡¼­ ºñ¼±Çü Çؼ®À» ¼öÇàÇϴµ¥ ÇÊ¿äÇÑ ¹Ýº¹Çؼ® Á¶°Ç°ú ¼ö·ÅÁ¶°ÇÀ» Á¤ÀÇÇÕ´Ï´Ù. ´Ü, ÇÏÁßÀÇ ÀÛ¿ë¼ø¼­´Â ¹Ýº¹Çؼ® ¹æ¹ý(Iteration Method)Áß Newton-RaphsonÀÎ °æ¿ì¿¡¸¸ À¯È¿ÇÕ´Ï´Ù.

 

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¸ÞÀÎ ¸Þ´º¿¡¼­ [Analysis] ÅÇ > [Analysis Control] ±×·ì > [Nonlinear]

 

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Nonlinear Analysis Control ´ëÈ­»óÀÚ

 

Nonlinear Type

ºñ¼±Çü Çؼ®ÀÇ Á¾·ù¸¦ ¼±ÅÃÇÕ´Ï´Ù.

Geometry Nonlinear : ±âÇϺñ¼±Çü Çؼ®

Material Nonlinear : Àç·áºñ¼±Çü Çؼ®

1

ºñ¼±Çü Çؼ®¿¡¼­ »ç¿ëÇÒ ¼ö ÀÖ´Â ¿ä¼Ò´Â ´ÙÀ½°ú °°´Ù.

¿ä¼Ò

±âÇϺñ¼±Çü

±âÇϺñ¼±Çü

(Initial Force for Geometric Stiffness)

Àç·áºñ¼±Çü

Truss

O

O

O

Tension only

O

O

O

Hook

O

O

O

Cable

O

O

¡â

Compression only

O

O

O

Gap

O

O

O

Beam

O

O

¡â

Plate - Thick

O

¡â

O

Plate - Thin

¡â (Thick Plate·Î ó¸®)

¡â

¡â (Thick Plate·Î ó¸®)

Plane Stress

O

¡â

O

Plane Strain

X

¡â

O

Axisymmetry

X

¡â

O

Solid

O

¡â

O

(O:Çؼ®°¡´É / X:ÇØ´ç¿ä¼Ò°¡ Á¸ÀçÇϸé Çؼ®¾ÈÁ¸µÊ / ¡â: ÇØ´ç¿ä¼Ò°¡ ¸ðµ¨³»¿¡ Á¸ÀçÇصµ Çؼ®Àº °¡´ÉÇϳª ¼±ÇüÇؼ®)

2

±âÇϺñ¼±Çü Çؼ® ¹× Àç·áºñ¼±ÇüÇؼ®½Ã ¾Æ·¡ Ç׸ñÀÇ °æ¿ì Çؼ®À» ¼öÇàÇÏÁö ¾Ê´Â´Ù.

Á¦ÇÑÇ׸ñ

±âÇϺñ¼±Çü

Àç·áºñ¼±Çü

Àç·á + ±âÇϺñ¼±Çü

Beam End Release

¡¿

-

¡¿

Plate End Release

¡¿

-

¡¿

Pretension Load

-

¡¿

¡¿

Prestress Load

-

¡¿

¡¿

Initial Forces for Geometric Stiffness

-

¡¿

¡¿

Temperature Loads

-

¡¿

¡¿

Material=SRC

¡¿

¡¿

¡¿

´Ü, Beam End Release, Plate End ReleaseÀÇ °æ¿ì ¾Æ·¡¿Í °°Àº °æ¿ì¿¡´Â Àç·áºñ¼±ÇüÇؼ®ÀÌ ¼öÇàµÇÁö ¾Ê´Â´Ù.

    1. [Load] ÅÇ > [Settlement/Etc.] ±×·ì > Loading Sequence for Nonlinear Analysis ±â´É »ç¿ë½Ã

    2. [Analysis] ÅÇ > [Analysis Control] ±×·ì > Construction Stage Analysis Control±â´ÉÀÇ Analysis Option¿¡¼­ Include Nonlinear Analysis > Accumulative Stage ¿É¼ÇÀ» ÀÌ¿ëÇÒ °æ¿ì

±âÇϺñ¼±ÇüÇؼ®¿¡¼­´Â ¿ä¼ÒÀÇ I, J´Ü¿¡¼­¸¸ °á°ú°¡ Ãâ·ÂµÈ´Ù.

 Iteration Method

¹Ýº¹Çؼ® ¹æ¹ýÀ» ¼±ÅÃÇÕ´Ï´Ù

Newton-RaphsonÀ» ¼±ÅÃÇÑ °æ¿ì

Number of Load Steps : ÀÔ·ÂÇÑ Load StepÀÇ ¼ö ¸¸Å­ ÀüüÇÏÁßÀ» ºÐÇÒÇÏ¿© ´Ü°èº°·Î Àû¿ë

Maximum Number of Iterations/Load Step : °¢ Load Stepº° ÃÖ´ë ¹Ýº¹Çؼ® Ƚ¼ö

Arc-Length¸¦ ¼±ÅÃÇÑ °æ¿ì

Number of Increment Steps : ÃÖ´ë ÁõºÐ´Ü°èÀÇ ¼ö

Maximum Number of Iterations/Increment Step : ÁõºÐ´Ü°èº° ÃÖ´ë ¹Ýº¹Çؼ® Ƚ¼ö

Initial Force Ratio for Unit Arc-Length(%) : ´ÜÀ§ Arc-Length´ç ÃʱâÇÏÁß ºñ

½Ç¼öÇü(¼Ò¼öÀÚ¸® Ç¥Çö)À¸·Î ÀÔ·ÂÀÌ °¡´ÉÇÏ´Ù.

Maximum Displacement Boundary : º¯ÇüÀÇ ÃÖ´ë°ª

Displacement-ControlÀ» ¼±ÅÃÇÑ °æ¿ì

Number of Displacement Steps : º¯À§ ÁõºÐ´Ü°èÀÇ ¼ö

Maximum Number of Iterations/Increment Step : ÁõºÐ´Ü°èº° ÃÖ´ë ¹Ýº¹Çؼ® Ƚ¼ö

Master Node : º¯À§Á¦¾î¿¡ ±âÁØÀÌ µÇ´Â ÀýÁ¡¹øÈ£

Direction : º¯À§Á¦¾î ¹æÇâ

Maximum Displacement : Çؼ®¿¡ Àû¿ëµÇ´Â Ãִ뺯À§°ª

Convergence Criteria

¼ö·Å¿©ºÎ¸¦ ÆÇ´ÜÇÏ´Â ±âÁØÀ» ¼±ÅÃÇÕ´Ï´Ù.

Energy Norm : ¿¡³ÊÁö(ºÎÀç·Âx º¯À§)ÀÇ Norm ±âÁØ°ªÀ¸·Î ¼ö·Å¿©ºÎ¸¦ ÆÇ´Ü

Displacement Norm : º¯À§ÀÇ Norm ±âÁØ°ªÀ¸·Î ¼ö·Å¿©ºÎ¸¦ ÆÇ´Ü

Force Norm : ºÎÀç·ÂÀÇ Norm ±âÁØ°ªÀ¸·Î ¼ö·Å¿©ºÎ¸¦ ÆÇ´Ü

 

Çؼ®ÀÇ ¹Ýº¹ ¶Ç´Â Á¾·á¿©ºÎ¸¦ °áÁ¤Çϱâ À§ÇÑ ¼ö·ÅÁ¶°ÇÀÇ ÆÇ´Ü¿¡´Â ¿©·¯°¡Áö ÀÚÀ¯µµÀÇ ¿µÇâÀ» ¸ðµÎ ¹Ý¿µÇÒ ¼ö ÀÖµµ·Ï NormÀ» »ç¿ëÇÑ´Ù.

¿¹¸¦ µé¾î, º¯À§ÀÇ °æ¿ì ÇØ´ç Çؼ®´Ü°è¿¡¼­ ¹ß»ýµÈ º¯À§¸¦ {D1}, °¢ ´Ü°èÀÇ º¯À§¸¦ ´©ÀûÇÑ Àüüº¯À§¸¦ {D2}¶ó Çϸé NormÀº ·Î Ç¥ÇöµÇ¸ç ÀÌ °ªÀÌ ±âÁØ°ªº¸´Ù ÀÛÀ» °æ¿ì ¼ö·ÅµÈ °ÍÀ¸·Î ÆÇ´ÜÇÏ¿© ¹Ýº¹Çؼ®À» Á¾·áÇÑ´Ù.

: ºñ¼±Çü Çؼ®Á¶°ÇÀÇ »èÁ¦

Load Case Specific Nonlinear Analysis Control Data

À§¿¡¼­ ÁöÁ¤ÇÑ ¹Ýº¹Çؼ® ¹æ¹ý(Iteration Method)À» ÇÏÁßÁ¶°Çº°·Î °¢°¢ ÁöÁ¤ÇÕ´Ï´Ù.

¸ðµç ÇÏÁßÁ¶°Ç¿¡ ´ëÇØ µ¿ÀÏÇÑ ¹Ýº¹Çؼ®¹æ¹ýÀ» Àû¿ëÇÏ·Á ÇÑ´Ù¸é ÀÌ ±â´ÉÀº Àû¿ëÇÏÁö ¾Ê¾Æµµ µË´Ï´Ù.

Load Case Specific Nonlinear Analysis Control Data ´ëÈ­»óÀÚ

Data for Newton-Rapson/Arch-Length/Displacement-Control Method

À§ÀÇ ¹Ýº¹Çؼ®¹æ¹ý(Iteration Method)¿¡¼­ ÁöÁ¤ÇÑ Ç׸ñ°ú µ¿ÀÏ

Step : ÀÔ·ÂÇÑ Load StepÀÇ ¼ö

Load Factor : ÇÏÁßÁõ°¨ °è¼ö

À§ ´ëÈ­»óÀÚ¿¡¼­ Number of Load StepsÀÇ ÀԷ°ªÀÌ '8'À̹ǷΠÀ§ ´ëÈ­»óÀÚÀÇ Step¿¡´Â 8´Ü°è°¡ ÀԷµǾî ÀÖ½À´Ï´Ù.

Load Factor´Â »ç¿ëÀÚ°¡ Á÷Á¢ÀÔ·ÂÇÒ ¼öµµ ÀÖ°í ¹öÆ°À» Ŭ¸¯ÇÏ¿© ÀÚµ¿ ÀÔ·ÂÇÒ ¼öµµ ÀÖ½À´Ï´Ù.

ºñ¼±Çü ÆòÇü¹æÁ¤½ÄÀ» Ç®±â À§ÇØArc-Length Method(ALM)À» »ç¿ëÇÒ °æ¿ì, Nonlinear Analysis Control ´ëÈ­»óÀÚ¿¡¼­ Initial Force Ratio for Unit Arc-Length(%) ÅؽºÆ® ¹Ú½º¿¡ ½Ç¼öÇüÀ¸·Î ÀÔ·ÂÀÌ °¡´ÉÇÏ´Ù.