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Çѱ¹Áö¹Ý°øÇÐȸ / v.22, no.9, 2006³â, pp.37-43
µ¿Àû À¯ÇÑ¿ä¼ÒÇØ¼®¿¡¼­ÀÇ ¹Ý¹«ÇÑ °æ°èÁ¶°ÇÀÇ ½ÇÇà
( Implementation of Semi-infinite Boundary Condition for Dynamic Finite Element Analysis )
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Áö¹Ý±¸Á¶¹°ÀÇ µ¿ÀûÇØ¼®Àº ¸ðµ¨ÀÇ ¿µ¿ªÀÌ Ä¿Áü¿¡ µû¶ó ¿¡³ÊÁö°¡ °¨¼ÒÇÏ´Â Çö»óÀ» Ç¥ÇöÇÒ ¼ö ÀÖ´Â ¹æ¹ýÀ» ÇÊ¿ä·Î ÇÑ´Ù. ÀÌ·¯ÇÑ Çö»óÀº ÈçÈ÷ ¹æ»ç °¨¼è(radiation damping) ¶Ç´Â ±âÇÏÇÐÀû °¨¼è(geometric attenuation)·Î ¾Ë·ÁÁ® ÀÖÀ¸¸ç, ź¼º¿¡³ÊÁö°¡ Á¡¼º ¶Ç´Â ÀÌ·ÂÇö»ó¿¡ ÀÇÇØ °¨¼ÒµÇ´Â Àç·á °¨¼èÇö»ó°ú´Â ±¸º°µÈ´Ù. µû¶ó¼­ ¼öÄ¡ÇØ¼®À¸·Î Áö¹Ý±¸Á¶¹°ÀÇ µ¿Àû°Åµ¿À» ÇØ¼®ÇÒ °æ¿ì ¸ðµ¨ÀÇ ¿µ¿ª ±¸ÃàÀº Ưº°ÇÑ °í·Á¸¦ ÇÊ¿ä·Î ÇÑ´Ù. ÀΰøÀûÀÎ °æ°èÁ¶°ÇÀº À¯ÇÑ¿ä¼Ò³»ÀÇ Áö¹Ý»óŸ¦ ¹«ÇÑ»óÅ·Πº¯Çü½Ãų ¼ö ÀÖ¾î¾ß Çϸç, °æ°è¿¡ µµ´ÞÇÏ´Â ÀÀ·Â ÆÄµ¿À» ¸ðµ¨³»·Î ¹Ý»ç½ÃŰÁö ¾Ê°í Èí¼ö ÇÒ ¼ö ÀÖ¾î¾ß ÇÑ´Ù. º» ³í¹®¿¡¼­´Â °£´ÜÇÑ Á¡ ź¼º ¹Ý¹«ÇÑ ºÒ¿¬¼Ó ¿ä¼Ò¸¦ ÀÌ¿ëÇÏ¿© Áö¹Ý±¸Á¶¹°ÀÇ µ¿ÀûÇØ¼®À» ¼öÇàÇÒ °æ¿ì ¿¡³ÊÁö¸¦ Åõ°úÇÏ´Â °æ°èÁ¶°ÇÀ» ¼ö¸³ÇÏ´Â ¹æ¹ýÀ» º¸¿©ÁØ´Ù. ¹Ý¹«ÇÑ ¿ä¼ÒÀÇ ½ÇÇàÀº OpenSees¶ó´Â À¯ÇÑ¿ä¼Ò ÇØ¼®ÇÁ·Î±×·¥À» ÀÌ¿ëÇÏ¿© ¼öÇàµÇ¾úÀ¸¸ç, ¿¹¸¦ ÅëÇÏ¿© ºÒ¿¬¼Ó ¿ä¼Ò°¡ °æ°è¿¡ µµ´ÞÇÏ´Â ÀÀ·Â ÆÄµ¿À» ÃæºÐÈ÷ Èí¼öÇÏ¿© À¯ÇÑ¿ä¼Ò ¸ðµ¨À» ¹Ý¹«ÇÑ »óÅ·ΠÀüȯ ½Ãų ¼ö ÀÖ´Ù´Â °ÍÀ» º¸¿©ÁØ´Ù. º» ³í¹®¿¡¼­ Á¦½ÃµÈ ¹æ¹ýÀº °£´ÜÇÏ°Ô ½Ç¿ëÀûÀ¸·Î »ç¿ëÇÒ ¼ö ÀÖ´Â ¹Ý¹«ÇÑ °æ°èÁ¶°ÇÀÌÁö¸¸, ÀԻ簢ÀÌ ¸Å¿ì ¿¹¸®ÇÒ °æ¿ì´Â ¿¡³ÊÁöÀÇ Èí¼öÁ¤µµ°¡ ÃæºÐÄ¡ ¾ÊÀº °ÍÀ¸·Î ¾Ë·ÁÁ® ÀÖ´Ù.
Dynamic numerical analysis of geotechnical problems requires a way to simulate the decrease of energy as the domain of interest gets larger. This phenomenon is usually referred to as radiation damping or geometric attenuation and it is distinguished from material damping in which elastic energy is actually dissipated by viscous, hysteretic, or other mechanism. The fact that the domain of analysis in numerical modeling must be chosen, however, causes a need for special attention at the boundary. This observation leads directly to the idea of determining the dynamic response of the interior region from a finite model consisting of the interior region subjected to a boundary condition which ensures that all energy arriving at the boundary is absorbed. This paper presents a simple methodology to simulate transmitting boundaries condition using viscoelastic infinite elements within the recently developed "OpenSees" finite element code. The methodology used here provides that the level of absorption for traveling waves is efficient enough for practical purposes, but unsatisfactory for the case of sharp incident angles. The effectiveness of the infinite elements for the absorption of incident waves at boundaries is evaluated via example analysis.
 
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Dynamic finite element analysis;OpenSees;Semi-infinite element;Visco-elastic material;
 
Çѱ¹Áö¹Ý°øÇÐȸ³í¹®Áý / v.22, no.9, 2006³â, pp.37-43
Çѱ¹Áö¹Ý°øÇÐȸ
ISSN : 1229-2427
UCI : G100:I100-KOI(KISTI1.1003/JNL.JAKO200634515067427)
¾ð¾î : ¿µ¾î
³í¹® Á¦°ø : KISTI Çѱ¹°úÇбâ¼úÁ¤º¸¿¬±¸¿ø
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