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BEGIN:VEVENT
DTSTAMP:20230103T035307Z
LOCATION:Auditorium\, Level 5\, West Wing
DTSTART;TZID=Asia/Seoul:20221206T100000
DTEND;TZID=Asia/Seoul:20221206T120000
UID:siggraphasia_SIGGRAPH Asia 2022_sess153_papers_158@linklings.com
SUMMARY:Interactive exploration of tension-compression mixed shells
DESCRIPTION:Technical Papers\n\nInteractive exploration of tension-compres
 sion mixed shells\n\nMiki, Mitchell\n\nAchieving a pure-compression stress
  state is considered central to the form-finding of shell structures. Howe
 ver, the pure-compression assumption restricts the geometry of the structu
 re's plan in that any free boundary edges cannot bulge outward. Allowing b
 oth tension and compression is essential so that overhanging leaves can st
 retch out toward the sky. When performing tension-compression mixed form-f
 inding, a problem with boundary condition (BC) compatibility arises. Since
  the form-finding equation is hyperbolic, boundary information propagates 
 along the asymptotic lines of the stress function. If conflicting BC data 
 is prescribed at either end of an asymptotic line, the problem becomes ill
 -posed. This requires a user of a form-finding method to know the solution
  in advance. By contrast, pure-tension or pure-compression problems are el
 liptic and always give solutions under any BCs sufficient to restrain rigi
 d motion. To solve the form-finding problem for tension-compression mixed 
 shells, we focus on the Airy's stress function, which describes the stress
  field in a shell. Rather than taking the stress function as given, we ins
 tead treat both the stress function and the shell as unknowns. This double
 s the solution variables, turning the problem to one that has an infinity 
 of different solutions. By enforcing equilibrium in the shell interior and
  prescribing the correct matching pairs of BCs to both the stress function
  and the shell, a stress function and shell can be simultaneously found su
 ch that equilibrium is satisfied everywhere in the shell interior and thus
  automatically has compatible BCs by construction. The problem of a potent
 ially over-constrained form-finding is thus avoided by expanding the solut
 ion space and creating an under-determined problem. By varying inputs and 
 repeatedly  searching for stress function-shell pairs that fall within the
  solution space, a user is allowed to interactively explore the possible f
 orms of tension-compression mixed shells under the given plan of the shell
 .\n\nRegistration Category: FULL ACCESS, EXPERIENCE PLUS ACCESS, EXPERIENC
 E ACCESS, TRADE EXHIBITOR\n\nLanguage: ENGLISH\n\nFormat: IN-PERSON
URL:https://sa2022.siggraph.org/en/full-program/?id=papers_158&sess=sess15
 3
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