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๊ฒ€์ฆ๋œ ํŒŒํŠธ๋„ˆ ์ œํœด์‚ฌ ์ž๋ฃŒ

A Finite Element Nonlinear Formulation for Large Deforrnations of Plane Frames

๋ฐฉ๋Œ€ํ•œ 850๋งŒ๊ฑด์˜ ์ž๋ฃŒ ์ค‘ ์ฃผ์ œ๋ณ„๋กœ ๋งŒ๋“ค์ˆ˜ ์žˆ๋Š” ์ตœ์ ์˜ ์‚ฐ์ถœ๋ฌผ์„ ํ•ดํ”ผ ์บ ํผ์Šค์—์„œ ์ฒดํ—˜ ํ•˜์„ธ์š” ์ „๋ฌธ๊ฐ€์˜ ์ง€์‹๊ณผ ์ธ์‚ฌ์ดํŠธ๋ฅผ ํ™œ์šฉํ•˜์—ฌ ์‰ฝ๊ณ  ํญ๋„“๊ฒŒ ์ดํ•ดํ•˜๊ณ  ์ ์šฉํ• ์ˆ˜ ์žˆ๋Š” ๊ธฐํšŒ๋ฅผ ๋†“์น˜์ง€ ๋งˆ์„ธ์š”
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์ตœ์ดˆ๋“ฑ๋ก์ผ 2023.04.05 ์ตœ์ข…์ ฟ’์ž‘์ผ 1994.12
15P ๋ฏธ๋้ฉ๋ณด๊ธฐ
A Finite Element Nonlinear Formulation for
Large Deforrnations of Plane Frames
  • * ๋ณธ ๋ฌธ์„œ๋Š” ๋ฐฐํฌ์šฉ์œผ๋กœ ๋ณต์‚ฌ ๋ฐ ํŽธ์ง‘์ด ๋ถˆ๊ฐ€ํ•ฉ๋‹ˆ๋‹ค.

    ๋ฏธ๋้ฉ๋ณด๊ธฐ

    ์„œ์่ง์ •๋ต–

    ยท ๋ฐœํ–‰๊ธฐ๊ด€ : ํ•œ๊ตญ์ „์‚ฐ๊ตฌ์กฐ๊ณตํ•™ํšŒ
    ยท ์ˆ˜๋ก์ง€ ์ •๋ณด : ํ•œ๊ตญ์ „์‚ฐ๊ตฌ์กฐ๊ณตํ•™ํšŒ ๋…ผ๋ๅฉ์ง‘ / 7๊ถŒ / 4ํ˜ธ
    ยท ์ €์ž๋ช… : Yun Young Mook, Park Moon Ho

    ์ดˆ๋ก

    ํ‰๋ฉด ๋ผˆ๋Œ€๊ตฌ์กฐ๋ฌผ์˜ ๋งค์šฐ ํฐ ๋ณ€ํ˜•์— ๋Œ€ํ•˜์—ฌ ์ •ํ™•ํ•œ ๋น„์„ ํ˜• ์œ ํ•œ์š”์†Œ์˜ ์ •์‹ํ™” ๊ณผ์ •์„ ๋‚˜ํƒ€๋‚ด์—ˆ๋‹ค. ์œ ํ•œ์š”์†Œ
    ์˜ ๊ตฌ์„ฑ์€ ๋ณ€ํ™”๋˜๋Š” ์žฌ๋ฃŒ์˜ ๊ธฐ์ค€ ๋ถˆ์„ฑ์น˜์— ๊ทผ๊ฐ€ ๋ฆŽ- ๋‘๊ณ  ํ˜•์„ฑํ•˜์˜€์œผ๋ฉฐ ๋งค ์šฐ ํฐ ๋ณ€ํ˜•์„ ๋ฐ› ๋Š” ์žฌ ๋ฃŒ ์˜ ์„ฑ์งˆ์„ ๋ช…
    ํ™•ํ•˜๊ฒŒ ํŠน์„ฑ์ง€์–ด ์ง„์‘๋ ฅ-๋ณ€ํ˜•์œจ ๊ด€๊ณ„์‹์„ ์ง์ ‘ ์ ์šฉํ•ซ ์ˆ˜ ์žˆ๋„๋ก ํ•˜์˜€๋‹ค. ํฐํšŒ์ „ํŒŒ ์ž‘์€ ๋ณ€ํ˜•์œต์„ ๋ฐ›๋Š” ๋ถ„์ œ
    ๋“ค์˜ฌ ํ˜•์„ฑํ•˜๊ธฐ ์œ„ํ•˜์—ฌ Co.rotation ์ ‘ ๋ˆ ๋ฐฉ๋ณ์„ ์‚ฌ์šฉํ•˜์˜€๋‹ค. ํฐ ๋ณ€ํ˜•์„ ์ผ์œผํ‚ค๋Š” ์š”์†Œ์˜ ๋ฌธ ์ œํ”Œ ํ•ด ๊ฒฐ ํ•˜๊ธฐ ์œ„
    ํ•˜์—ฌ ์ง์„ ๋ณด ํ˜•ํƒœ์˜ ์œ ํ•œ์š”์†Œํ”Œ ์‚ฌ์šฉํ•˜์˜€์œผ๋ฉฐ ๊ฐœ๊ฐœ์˜ ์œ ํ•œ์š”์†Œ์˜ ์ •์‚ญํ™”๋Š” ์ถ•๋ฐฉํ–ฅ๋ ฅ์˜ ์˜ํ–ฅ์„ ๊ณ ๋ คํ•˜์—ฌ 111 ์†Œ
    ์ฒ˜์ง๋ณด์ด๋ก ์˜ฌ ๋ฐ”ํƒ•์œผ๋กœ ํ˜•์„ฑํ•˜์˜€๋‹ค. ๋ณธ ์—ฐ๊ตฌ์—์„œ ํ˜•์„ฑ๋œ ํฐ ๋ณ€ํ˜•์— ๋Œ€ํ•œ ๋น„์„ ํ˜• ์œ ํ•œ์š”์†Œ์˜ ํƒ€๋‹น์„ฑ์„ ํ™•์ธํ•˜
    ๊ธฐ ์œ„ํ•ด ๋ช‡๋ช‡ ์ˆ˜์น˜ํ•ด๋“ค์„ ํ•ด์„ํ•˜๊ณ  ๊ฒ€ํ† ํ•˜์˜€๋‹ค.

    ์˜์–ด์ดˆ๋ก

    An explicit finite element nonJinear formulation for very large deformations of plane frame
    structures is developed. The formulation is based on an updated material reference frame and hence a
    true stress.strain relationship can be directly appJied to characterize the properties of material which is
    subjected to very large deformations. In the formulation, a co-rotational approach is applied to deal
    with the large rotations but small strain problems. Straight beam element is considered when the
    strain of an element is large. The element formulation is based on the srnall deflection beam theory but
    with the inclusion of the effect ofaxial force. The element equations are constructed in an element 10
    cal coordinate system which rotates and translates with the element, and then transformed to the glo
    bal coordinate system. Several numerical examples are analyzed to validate the presented formulation

    ์ฐธ๊ณ ์ž๋ฃŒ

    ยท ์—†์Œ
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    • ์ž์ฃผ๋ฌป๋Š”์งˆ๋ๅฉ์˜ ๋‹ต๋ณ€์„ ํ™•์ธํ•ด ์ฃผ์„ธ์š”

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      ๊ผญ ์•Œ์•„์ฃผ์„ธ์š”

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      • ํ•ดํ”ผ์บ ํผ์Šค๋Š” ๊ตฌ๋งค์ž์™ฟ’ ํŒ๋งค์ž ๋ชจ๋‘๊ฐ€ ๋งŒ์กฑํ•˜๋Š” ์„œ๋น„์Šค๊ฐ€ ๋˜๋„๋ก ๋…ธ๋ ฅํ•˜๊ณ  ์žˆ์œผ๋ฉฐ, ์•„๋ž˜์˜ 4๊ฐ€์ง€ ์ž๋ฃŒํ™˜๋ถˆ ์กฐ๊ฑด์„ ๊ผญ ํ™•์ธํ•ด์ฃผ์‹œ๊ธฐ ๋ฐ”๋ž๋‹ˆ๋‹ค.
        ํŒŒ์ผ์˜ค๋ฅ˜ ์ค‘๋ณต์ž๋ฃŒ ์ €์ž‘๊ถŒ ์—†์Œ ์„ค๋ช…๊ณผ ์‹ค์ œ ๋‚ด์šฉ ๋ถˆ์ผ์น˜
        ํŒŒ์ผ์˜ ๋‹ค์šด๋กœ๋“œ๊ฐ€ ์ œ๋Œ€๋กœ ๋˜์ง€ ์•Š๊ฑฐ๋‚˜ ํŒŒ์ผํ˜•์‹์— ๋งž๋Š” ํ”„๋กœ๊ทธ๋žจ์œผ๋กœ ์ •์ƒ ์ž‘๋™ํ•˜์ง€ ์•Š๋Š” ๊ฒฝ์šฐ ๋‹ค๋ฅธ ์ž๋ฃŒ์™ฟ’ 70% ์ด์ƒ ๋‚ด์šฉ์ด ์ผ์น˜ํ•˜๋Š” ๊ฒฝ์šฐ (์ค‘๋ณต์ž„์„ ํ™•์ธํ•  ์ˆ˜ ์žˆ๋Š” ๊ทผ๊ฑฐ ํ•„์š”ํ•จ) ์ธํ„ฐ๋„ท์˜ ๋‹ค๋ฅธ ์‚ฌ์ดํŠธ, ์—ฐ๊ตฌ๊ธฐ๊ด€, ํ•™๊ป“, ์„œ์  ๋“ฑ์˜ ์ž๋ฃŒ๋ฅผ ๋„์šฉํ•œ ๊ฒฝ์šฐ ์ž๋ฃŒ์˜ ์„ค๋ช…๊ณผ ์‹ค์ œ ์ž๋ฃŒ์˜ ๋‚ด์šฉ์ด ์ผ์น˜ํ•˜์ง€ ์•Š๋Š” ๊ฒฝ์šฐ

    โ€œํ•œ๊ตญ์ „์‚ฐ๊ตฌ์กฐ๊ณตํ•™ํšŒ ๋…ผ๋ๅฉ์ง‘โ€์˜ ๋‹ค๋ฅธ ๋…ผ๋ๅฉ๋„ ํ™•์ธํ•ด ๋ณด์„ธ์š”!

    ๋ฌธ์„œ ์ดˆ์•ˆ์„ ์ƒ์„ฑํ•ด์ฃผ๋Š” EasyAI
    ์•ˆ๋…•ํ•˜์„ธ์š”. ํ•ดํ”ผ์บ ํผ์Šค์˜ ๋ฐฉ๋Œ€ํ•œ ์ž๋ฃŒ ์ค‘์—์„œ ์„ ๋ณ„ํ•˜์—ฌ ๋‹น์‹ ๋งŒ์˜ ์ดˆ์•ˆ์„ ๋งŒ๋“ค์–ด์ฃผ๋Š” EasyAI ์ž…๋‹ˆ๋‹ค.
    ์ €๋Š” ์•„๋ž˜์™ฟ’ ๊ฐ™์ด ์ž‘์—…์„ ๋„์™ฟ’๋“œ๋ฆฝ๋‹ˆ๋‹ค.
    - ์ฃผ์ œ๋งŒ ์ž…๋ ฅํ•˜๋ฉด ๋ชฉ์ฐจ๋ถ€ํ„ฐ ๋ณธ๋ฌธ๋‚ด์šฉ๊นŒ์ง€ ์ž๋™ ์ƒ์„ฑํ•ด ๋“œ๋ฆฝ๋‹ˆ๋‹ค.
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    - ์Šคํ† ์–ด์—์„œ ๋ฌด๋ฃŒ ์บ์‹œ๋ฅผ ๊ณ„์ •๋ณ„๋กœ 1ํšŒ ๋ฐœ๊ธ‰ ๋ฐ›์„ ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค. ์ง€๊ธˆ ๋ฐ”๋กœ ์ฒดํ—˜ํ•ด ๋ณด์„ธ์š”!
    ์ด๋Ÿฐ ์ฃผ์ œ๋“ค์„ ์ž…๋ ฅํ•ด ๋ณด์„ธ์š”.
    - ์œ ์•„์—๊ฒŒ ์ ํ•ฉํ•œ ๋ฌธํ•™์ž‘ํ’ˆ์˜ ๊ธฐ์ค€๊ณผ ํŠน์„ฑ
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