• 제목/요약/키워드: Cavity theory

검색결과 160건 처리시간 0.025초

공동 주위에서의 압력 변화에 대한 연구 (Study on Pressure Variation around an Open Cavity)

  • 허대녕;이덕주
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 춘계학술대회논문집
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    • pp.843-846
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    • 2004
  • Cavity tone is generated due to the feedback between flow and acoustic wave. It is recognized that the period is determined by the time required for the flow convection in one direction, the time required for the acoustic propagation in the other direction and the time for phase shift depending on the flows and mode. Most of the phenomena have been investigated by experiments and a simple but fundamental theory. But the cause of the phase shift and the correctness of the theory have not been clearly explained so far. In this paper, the phenomena are calculated numerically to obtain detail information of flow and acoustic wave to explain the mechanism including the phase. High order high resolution scheme of optimized high order compact is used to resolve the small acoustic quantities and large flow quantities at the same time. The data are reduced using cross correlation function in space and time and cross spectral density function which has phase information. Abrupt change in pressure near corner in cavity is observed and is relate to phase variation. The time required for the feedback between the flow and acoustic wave is calculated after the numerical simulation f3r various modes. The periods based on the time calculated using the above method and direct observation from the acoustic waves generated and propagated in the numerical simulation are compared. It is found that no phase shift is required if we examine the time required carefully. Rossiter's formula for the cavity tone used for quick estimation needs to be modified far some modes.

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사출성형 공정에서 고화층이 캐비티 압력에 미치는 영향 (Frozen Layer Effect on Internal Cavity Pressure during Injection Molding)

  • 이호상
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 추계학술대회 논문집
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    • pp.474-479
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    • 2005
  • Experimental and theoretical studies of internal cavity pressure during injection molding of a spiral tube cavity were carried out. The frozen layer thickness and the evolution of internal cavity pressure were calculated using a commercial software (C-MOLD). The evolution of the internal cavity pressure was recorded during injection molding of polystyrene into a spiral tube mold. To explain the differences observed between the calculated and measured internal cavity pressure, a pressure correction factor (PCF) was introduced based on the plane stress theory. This factor was determined by analyzing the stress state in the melt and calculating the frozen layer thickness near the mold wall. The corrected and experimental pressures have been compared to validate the applicability of the pressure correction factor.

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Modelling and experimental investigations on stepped beam with cavity for energy harvesting

  • Reddya, A. Rami;Umapathy, M.;Ezhilarasib, D.;Uma, G.
    • Smart Structures and Systems
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    • 제16권4호
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    • pp.623-640
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    • 2015
  • This paper presents techniques to harvest higher voltage from piezoelectric cantilever energy harvester by structural alteration. Three different energy harvesting structures are considered namely, stepped cantilever beam, stepped cantilever beam with rectangular and trapezoidal cavity. The analytical model of three energy harvesting structures are developed using Euler-Bernoulli beam theory. The thickness, position of the rectangular cavity and the taper angle of the trapezoidal cavity is found to shift the neutral axis away from the surface of the piezoelectric element which in turn increases the generated voltage. The performance of the energy harvesters is evaluated experimentally and is compared with regular piezoelectric cantilever energy harvester. The analytical and experimental investigations reveal that, the proposed energy harvesting structures generate higher output voltage as compared to the regular piezoelectric cantilever energy harvesting structure. This work suggests that through simple structural modifications higher energy can be harvested from the widely reported piezoelectric cantilever energy harvester.

피에조콘 관입 시험에 대한 연속 공동확장이론모델의 적용 (Application of Successive Cavity Expansion Theory to Piezocone Tests.)

  • Lim, Beyong-Seock;Lee, In-Mo
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2000년도 봄 학술발표회 논문집
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    • pp.599-606
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    • 2000
  • 본 연구는 피에조콘(Piezocone) 관입 시험에 의한 과잉간극수압의 소산(Dissipation)특성을 파악하기 위하여, 실측된 소산실험 결과치와 Gupta & Davidson에 의해 개발된 연속 공동확장이론(Successive Cavity Expansion Theory) 모델을 비교하였고, 그 경험적 이론의 적합성을 규명하였다. 연속 공동확장 이론이란, 콘 관입이 유발하는 관입 주변지반의 변환 메커니즘을 연속적인 공동확장의 전개과정로 파악할 때, 관입주변의 연속적 공동확장 영역에서 발생된 과잉간극수압들은 연속적으로 소산되어지고, 결국에는 관입멈춤직후 얻게 되는 소산시험의 결과도 이러한 과잉간극수압의 연속적 소산 메커니즘으로부터 그 영향을 받는다는 개념이다. 본 연구의 실험방법은 Piezocone 관입을 위한 연약모형지반 조성을 위하여 초대형 Slurry Consolidometer에 Slurry를 45일간 압밀시킨후 Calibration Chamber(Louisiana State University Calibration Chamber System)에 옮긴 후 2차 압밀시키는 Two-Stage Consolidation Method를 사용하였다. 또한 모형지반내에 8개의 Piezometers를 설치하여 Piezometers를 설치하여 Piezocone 관입시 유발되는 지반 내에서의 과잉간극수압의 변환을 측정하였다. 실험결과와 이론 예측치를 비교함으로써 연속 공동확장이론 모델은 u$_2$형식의 피에조콘 관입 소산시험 결과들과 잘 들어맞는 모습을 보여줬으나, 관입으로 인한 주변 지반의 과잉간극수압의 소산변화는 정성적으로만 모사 되는 모습을 보여줬다.

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지하공동에 인접한 연속기초의 안정성 (The Stability of Strip Footing above Underground Cavity)

  • 오세욱;이봉직;배우석
    • 한국지반환경공학회 논문집
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    • 제7권3호
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    • pp.69-76
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    • 2006
  • 본 연구는 모래지반에서 공동위에 위치한 연속기초의 지지력거동을 연구하기 위하여 강사법으로 조성된 모래지반에서 모형실험을 수행하였다. 모형실험결과와 이론식을 비교하여 지하공동이 연속기초의 지지력에 영향을 미치는 한계범위를 도출하였다. 한계범위의 크기는 기초의 형상, 지반특성, 공동크기, 공동형상 등 여러 가지 인자에 의존한다. 지하공동의 깊이가 편심거리보다 극한지지력에 더 큰 영향을 주는 것으로 나타났다. 또한 연속기초에 미치는 지하공동의 영향은 편심거리에 따른 지지력 감소현상 뿐만 아니라 연속기초의 부등침하 현상에도 큰 영향을 줄 것으로 판단되었다.

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양력판 이론에 의한 2차원 수중익의 부분 캐비티 문제 해석 (A Potential-Based Panel Method for the Analysis of a 2-Dimensional Partially Cavitating Hydrofoil)

  • 이창섭
    • 대한조선학회지
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    • 제26권4호
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    • pp.27-34
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    • 1989
  • 부분 캐비티가 발생한 2차원 수중익 문제를 해결하기 위하여 포텐시얼을 기저로 한 양력판 이론이 정식화 되었다. 본 이론은 수중익 표면에 다이폴과 쏘오스를 분포함으로써 각각 양력 및 캐비티 문제를 표현하고 있다. 날개표면의 접수부에서의 운동학적 경계조건은 날개의 내부유동에서의 전체 포텐시얼이 영이 된다는 대등한 조건으로 만족되었다. 캐비티 표면에서의 역학적 경계조건은 압력이 일정하다는 즉 속도가 일정하다는 조건을 거쳐 포텐시얼이 선형적으로 변한다는 조건으로 대치되었으며, 운동학적 조건은 특이함수의 세기가 결정된 후에 적분에 의하여 캐비티의 형상을 구하는데에 사용되었다. 따라서 Green 정리를 사용하면, 속도를 기저로 하는 통상적인 정식화가 아닌, 포텐시얼을 기저로 한 경계치 문제가 완성된다. 또한 수중익의 정확한 표면에 특이함수를 분포함으로써, 날개두께가 영인 수중익 신경 이론에 비하여, 날개표면에서의 압력분포의 정도를(특히 날개 앞날부근에서) 향상시켰다. 본 이론에서는 캐비티 길이를 가정하고 이에 대응하는 캐비티의 모양과 캐비테이션수를 계산하였다. 계산정도의 향상을 위하여 약 5회정도의 반복계산이 필요하지만 공학적 목적을 위해서는 2회의 반복계산이 충분함을 보였다.

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2차원 대칭 스트럿 주위의 초월 공동 유동 문제의 해석 (Super-Cavitating Flow Problems about Two-Dimensional Symmetric Strut)

  • 김영기;이창섭
    • 대한조선학회지
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    • 제27권4호
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    • pp.15-26
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    • 1990
  • 본 연구는 표면 양력관 이론을 이용하여 초월 공동이 발생한 2차원 날개의 유동해석을 위한 제반 경계 조건을 검증하고 공동 뒷부분의 모형을 비교 검토한다. 해석해가 존재하는 2차원 대칭 스트럿 주위의 초월 공동 현상을 수치적으로 해석하여 그 결과를 해석해와 비교함으로써 표면 양력판 이론에 의한 프로펠러 공동 문제 해석의 가능성을 입증하였다. 특히, 공동 뒷부분의 비 선형 닫힘 모형, 타원형 닫힘 모형, 그리고 선형 닫힘 조건을 서로 비교 분석함으로써 공동 문제 해결에서 가장 중요한 공동 닫힘 조건의 영향을 보였다.

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Undrained solution for cavity expansion in strength degradation and tresca soils

  • Li, Chao;Zou, Jin-feng;Sheng, Yu-ming
    • Geomechanics and Engineering
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    • 제21권6호
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    • pp.527-536
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    • 2020
  • An elastic-plastic solution for cavity expansion problem considering strength degradation, undrained condition and initial anisotropic in-situ stress is established based on the Tresca yield criterion and cavity expansion theory. Assumptions of large-strain for plastic region and small-strain for elastic region are adopted, respectively. The initial in-situ stress state of natural soil mass may be anisotropic caused by consolidation history, and the strength degradation of soil mass is caused by structural damage of soil mass in the process of loading analysis (cavity expansion process). Finally, the published solutions are conducted to verify the suitability of this elastic-plastic solution, and the parametric studies are investigated in order to the significance of this study for in-situ soil test.

Effects of macroporosity and double porosity on noise control of acoustic cavity

  • Sujatha, C.;Kore, Shantanu S.
    • Advances in aircraft and spacecraft science
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    • 제3권3호
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    • pp.351-366
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    • 2016
  • Macroperforations improve the sound absorption performance of porous materials in acoustic cavities and in waveguides. In an acoustic cavity, enhanced noise reduction is achieved using porous materials having macroperforations. Double porosity materials are obtained by filling these macroperforations with different poroelastic materials having distinct physical properties. The locations of macroperforations in porous layers can be chosen based on cavity mode shapes. In this paper, the effect of variation of macroporosity and double porosity in porous materials on noise reduction in an acoustic cavity is presented. This analysis is done keeping each perforation size constant. Macroporosity of a porous material is the fraction of area covered by macro holes over the entire porous layer. The number of macroperforations decides macroporosity value. The system under investigation is an acoustic cavity having a layer of poroelastic material rigidly attached on one side and excited by an internal point source. The overall sound pressure level (SPL) inside the cavity coupled with porous layer is calculated using mixed displacement-pressure finite element formulation based on Biot-Allard theory. A 32 node, cubic polynomial brick element is used for discretization of both the cavity and the porous layer. The overall SPL in the cavity lined with porous layer is calculated for various macroporosities ranging from 0.05 to 0.4. The results show that variation in macroporosity of the porous layer affects the overall SPL inside the cavity. This variation in macroporosity is based on the cavity mode shapes. The optimum range of macroporosities in poroelastic layer is determined from this analysis. Next, SPL is calculated considering periodic and nodal line based optimum macroporosity. The corresponding results show that locations of macroperforations based on mode shapes of the acoustic cavity yield better noise reduction compared to those based on nodal lines or periodic macroperforations in poroelastic material layer. Finally, the effectiveness of double porosity materials in terms of overall sound pressure level, compared to equivolume double layer poroelastic materials is investigated; for this the double porosity material is obtained by filling the macroperforations based on mode shapes of the acoustic cavity.

An analytical solution for compaction grouting problem considering exothermic temperature effect of slurry

  • Chao Li;Yingke Liu;Man Yuan;Tengrui Yang
    • Geomechanics and Engineering
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    • 제35권6호
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    • pp.593-601
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    • 2023
  • In this paper, an analytical solution of large-strain cylindrical cavity expansion in compaction grouting problem under temperature field is given. Considering the stress increment caused by temperature, the analytical solution of cavity expansion under traditional isothermal conditions is improved by substituting the temperature stress increment into the cavity expansion analysis. Subsequently, combined with the first law of thermodynamics, the energy theory is also introduced into the cylindrical cavity expansion analysis, and the energy dissipation solution of cylindrical cavity expansion is derived. Finally, the validity and reliability of solution are proved by comparing the results of expansion pressure with those in published literatures. The results show that the dimensionless expansion pressure increases with the increase of temperature, and the thermal response increases with the increase of dilation angle. The higher the exothermic temperature of grouting slurry, the greater the plastic deformation energy of the surrounding soil, that is, the greater the influence on the surrounding soil deformation and the surrounding environment. The proposed solution not only enrich the theoretical system of cavity expansion, but also can be used as a theoretical tool for energy geotechnical engineering problems, such as CPT, nuclear waste disposal, energy pile and chemical grouting, etc.