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๊ฒ€์ฆ๋œ ํŒŒํŠธ๋„ˆ ์ œํœด์‚ฌ ์ž๋ฃŒ

Application of the Unstructured Finite Element to Longitudinal Vibration Analysis

๋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”
8 ํŽ˜์ด์งฟ’
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์ตœ์ดˆ๋“ฑ๋ก์ผ 2023.04.05 ์ตœ์ข…์ ฟ’์ž‘์ผ 2006.03
8P ๋ฏธ๋้ฉ๋ณด๊ธฐ
Application of the Unstructured Finite Element to Longitudinal Vibration Analysis
  • * ๋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‘ / 19๊ถŒ / 1ํ˜ธ
    ยท ์ €์ž๋ช… : ๊น€์น˜๊ฒฝ

    ์ดˆ๋ก

    ๋ณธ ์—ฐ๊ตฌ๋Š” ํŒŒ ํ•ด์„์— ์žˆ์–ด์„œ ๊ณต๊ฐ„-์‹œ๊ฐ„ ๋ถ„ํ•  ๊ฐœ๋…์„ ๋„์ž…ํ•˜์—ฌ ์ผˆ๋Ÿฌํ‚จ ๋ฐฉ๋ฒ•์œผ๋กœ ํ•ด์„ํ•˜์˜€๋‹ค. ๊ณต๊ฐ„-์‹œ๊ฐ„ ์œ ํ•œ์š”์†Œ๋ฒ•์€ ์˜ค์ง ๊ณต๊ฐ„์— ๋Œ€ํ•ด์„œ๋งŒ ๋ถ„ํ• ํ•˜๋Š” ์ผ๋ฐ˜์ ์ธ ์œ ํ•œ์š”์†Œ๋ฒ•๋ณด๋‹ค ๊ฐ„ํŽธํ•˜๋‹ค. ๋น„๊ต์  ํฐ ์‹œ๊ฐ„๊ฐ„๊ฒฉ์— ๋Œ€ํ•ด์„œ ๊ณต๊ฐ„๊ณผ ์‹œ๊ฐ„์„ ๋™์‹œ์— ๋ถ„ํ• ํ•˜๋Š” ๋ฐฉ๋ฒ•์„ ์ œ์‹œํ•˜๋ฉฐ ๊ฐ€์ค‘์ž”์ฐจ๋ฒ•์ด ๊ณต๊ฐ„-์‹œ๊ฐ„ ์˜์—ญ์—์„œ ์œ ํ•œ์š”์†Œ ์ •์‹ํ™”์— ์ด์šฉ๋˜์—ˆ๋‹ค. ํฐ ์‹œ๊ฐ„ ๊ฐ„๊ฒฉ์œผ๋กœ ์ธํ•˜์—ฌ ๋ฌธ์ œ์˜ ํ•ด๊ฐ€ ๋ฐœ์‚ฐํ•˜๋Š” ๊ฒฝ์šฐ๊ฐ€ ๋™์ ์ธ ๋ฌธ์ œ์—์„œ ํ”ํžˆ ๋ฐœ์ƒํ•œ๋‹ค. ์ด๋Ÿฌํ•œ ๊ฒฐ์ ์„ ๋ณด์™„ํ•œ ์‚ฌ๊ฐํ˜• ๊ณต๊ฐ„-์‹œ๊ฐ„ ์š”์†Œ๋ฅผ ์ทจํ•˜์—ฌ ๋ฌธ์ œ๋ฅผ ํ•ด์„ํ•˜๊ณ  ํ•ด์˜ ์•ˆ์ •์— ๋Œ€ํ•ด ๊ธฐ์ˆ ํ•˜์˜€๋‹ค. ๋‹ค์ˆ˜์˜ ์ˆ˜์น˜ํ•ด์„์„ ํ†ตํ•˜์—ฌ ์ด ๋ฐฉ๋ฒ•์ด ํšจ๊ณผ์  ์ž„์„ ์•Œ ์ˆ˜ ์žˆ์—ˆ๋‹ค.

    ์˜์–ด์ดˆ๋ก

    This paper analyzes the continuous Galerkin method for the space-time discretization of wave equation. The method of space-time finite elements enables the simple solution than the usual finite element analysis with discretization in space only. We present a discretization technique in which finite element approximations are used in time and space simultaneously for a relatively large time period called a time slab. The weighted residual process is used to formulate a finite element method for a space-time domain. Instability is caused by a too large time step in successive time steps. A stability problem is described and some investigations for chosen types of rectangular space-time finite elements are carried out. Some numerical examples prove the efficiency of the described method under determined limitations.

    ์ฐธ๊ณ ์ž๋ฃŒ

    ยท ์—†์Œ
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    ํŒ๋งค์ž๊ฐ€ ์ œ๊ณตํ•œ ์ž๋ฃŒ๋Š” ์ฒด๊ณ„์ ์ธ ๊ตฌ์„ฑ์œผ๋กœ ๋˜์–ด ์žˆ์–ด ๋ณต์žกํ•œ ๋‚ด์šฉ์„ ๊ณผ์ œ์— ์‰ฝ๊ฒŒ ํ™œ์šฉ ํ•  ์ˆ˜ ์žˆ์—ˆ์Šต๋‹ˆ๋‹ค. ์•ž์œผ๋กœ๋„ ์ด๋Ÿฌํ•œ ์ข‹์€ ์ž๋ฃŒ๋“ค์ด ๋งŽ์ด ๋“ฑ๋ก๋˜๊ธฐ๋ฅผ ๊ธฐ๋Œ€ํ•ฉ๋‹ˆ๋‹ค.
    • ์ž์ฃผ๋ฌป๋Š”์งˆ๋ๅฉ์˜ ๋‹ต๋ณ€์„ ํ™•์ธํ•ด ์ฃผ์„ธ์š”

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        ๋ณธ ์ €์ž‘๋ฌผ์„ ๋ถˆ๋ฒ•์ ์œผ๋กœ ์ด์šฉ์‹œ๋Š” ๋ฒ•์ ์ธ ์ œ์žฌ๊ฐ€ ๊ฐ€ํ•ด์งˆ ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค.
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        ํ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”!

    ์ฐพ์œผ์‹œ๋˜ ์ž๋ฃŒ๊ฐ€ ์•„๋‹Œ๊ฐ€์š”?

    ์ง€๊ธˆ ๋ณด๋Š” ์ž๋ฃŒ์™ฟ’ ์—ฐ๊ด€๋˜์–ด ์žˆ์–ด์š”!
    ์™ผ์ชฝ ํ™”์‚ดํ‘œ
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    ์•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.
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    ์ด๋Ÿฐ ์ฃผ์ œ๋“ค์„ ์ž…๋ ฅํ•ด ๋ณด์„ธ์š”.
    - ์œ ์•„์—๊ฒŒ ์ ํ•ฉํ•œ ๋ฌธํ•™์ž‘ํ’ˆ์˜ ๊ธฐ์ค€๊ณผ ํŠน์„ฑ
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