• 제목/요약/키워드: mathematical verification

검색결과 196건 처리시간 0.028초

The study on piezoelectric transducers: theoretical analysis and experimental verification

  • Sung, Chia-Chung;Tien, Szu-Chi
    • Smart Structures and Systems
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    • 제15권4호
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    • pp.1063-1083
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    • 2015
  • The main purpose of this research is to utilize simple mathematical models to depict the vibration behavior and the resulted sound field of a piezoelectric disk for ultrasonic transducers. Instead of using 1-D vibration model, coupled effect between the thickness and the radial motions was considered to be close to the real vibration behavior. Moreover, Huygens-Fresnel principle was used in both incident and reflected waves to analyze the sound field under obstacles in finite distance. Results of the tested piezoelectric disk show that, discrepancies between the simulation and experiment are 2.5% for resonant frequency and 12% for resulted sound field. Therefore, the proposed method can be used to reduce the complexity in modeling vibration problems, and increase the reliability on analyzing piezoeletric transducers in the design stage.

확률론적 파괴역학 수법의 적용성 검토 (Application of Probabilistic Fracture Mechanics Methodology)

  • 이준성;곽상록;김영진
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2001년도 춘계학술대회 논문집
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    • pp.667-670
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    • 2001
  • For major structural components periodic inspections and integrity assessments are needed for the safety. However, many flaws are undetectable because sampling inspection is carried out during in-service inspection. Probabilistic integrity assessment is applied to take into consideration of uncertainty and variance of input parameters arise due to material properties and undetectable cracks. This paper describes a Probabilistic Fracture Mechanics(PEM) analysis based on the Monte Carlo(MC) algorithms. Taking a number of sampling data of probabilistic variables such as fracture toughness value, crack depth and aspect ratio of an initial surface crack, a MC simulation of failure judgement of samples is performed. For the verification of this analysis, a comparison study of th PFM analysis using a commercial code, mathematical method is carried out and a good agreement was observed between those results.

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축방향 베어링 통합 회전 구동기의 개발 (Development of Rotary Actuator Including Function of Axial Bearing)

  • 허진혁;정광석;백윤수
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2003년도 춘계학술대회 논문집
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    • pp.1083-1086
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    • 2003
  • Recently, the study on bearingless motors which integrate both motor and magnetic bearing function in one stator is very active, as many machines have high rotational speed, high precision, smaller size and lighter weight. In this paper, we propose a novel rotary actuator including function of axial bearing using Lorentz force as a preceding research for development of a bearingless motor. As using Lorentz force, this type has some merits such as the linearity of control force, freedom from flux saturation and high efficiency unlike conventional rotary actuators using a reluctance force. This type is cotrolled independently in levitation and rotational directions respectively. It shows by mathematical expression of levitation force and torque in the proposed rotary actuator. And also, the levitation force is generated by magnetic interaction between the magnetic materials and the rotational torque is generated by Lorentz force. Finally. for verification of this proposed system, a prototype is made and some experiments will be performed in the near future.

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Strain Rate Self-Sensing for a Cantilevered Piezoelectric Beam

  • Nam, Yoonsu;Sasaki, Minoru
    • Journal of Mechanical Science and Technology
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    • 제16권3호
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    • pp.310-319
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    • 2002
  • This paper deals with the analytical modeling, and the experimental verification of the strain rate self-sensing method using a hybrid adaptive filter for a cantilevered piezoelectric beam. The piezoelectric beam consists of two laminated lead zirconium titanates (PZT) on a metal shim. A mathematical model of the beam dynamics is derived by Hamilton's principle and the accuracy of the modeling is verified through the comparison with experimental results. For the strain rate estimation of the cantilevered piezoelectric beam, a self-sensing mechanism using a hybrid adaptive filter is considered. The discrete parts of this mechanism are realized by the DS1103 DSP board manufactured by dSPACE$\^$TM/. The efficacy of this method is investigated through the comparison of experimental results with the predictions from the derived analytical model.

열간압연중 발생하는 미세조직 변화에 관한 연구 (A Study On The Microstructural Evolution In Hot Rolling)

  • 조현중;김낙수
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1995년도 추계학술대회논문집
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    • pp.16-29
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    • 1995
  • A full three-dimensional thermo-coupled rigid-viscoplastic finite element method and the currently developed microstructural evolution system which includes semi-empirical mathematical equations suggested by different research groups were used together to form an integrated system of process and microstructure simulation of hot rolling. The distribution and time history of thermomechanical variables such as temperature, strain, strain rate, and time during pass and between passes were obtained FEM analysis of multipass hot rolling processes. Then distribution of metallurgical variables were calculated successfully on the basis of instantaneous thermomechanical data. For the verification of this method the evolution of microstructure in plate rolling and shape rolling was simulated and their results were compared with the data available in literature. Consequently, this approach makes it passible to describe the realistic evolution of microstructure by avoiding the use of erroneous average value and can be used in CAE of multipass hot rolling.

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다양한 해석적 방법에 의한 케이블 구조의 장력 추정 (Tension Force Identification of Cable Structures using Various Analytical Methods)

  • 노명현;이상열
    • 복합신소재구조학회 논문집
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    • 제3권3호
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    • pp.38-46
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    • 2012
  • The method based on various mathematical characteristic equations for identifying tensile forces in the cable structure system are used as response data to reflect the properties of the dynamic sensitivity. The vibration tests have been conducted with respect to levels of applied weight for the sagged cable. In this study, a set of natural frequencies are extracted from the measured dynamic data. Next, existing characteristic equation methods based these extracted natural frequencies are applied to identify tensil forces of the sagged cable system. Through several verification procedures, the proposed methods could be applied to a sagged cable system when the initial material data are insufficiency.

원전 주요기기의 확률론적 평가 기법 (Probabilistic Evaluation Methodology for Nuclear Components)

  • 이준성;곽상록;김영진;박윤원
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.459-464
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    • 2001
  • For major nuclear power plant components periodic inspections and integrity assessments are needed for the safety. But many flaws are undetectable due to sampling inspection. Probabilistic integrity assessment is applied to take into consideration of uncertainty and variance of input parameters arise due to material properties, applied load and undetectable flaws. This paper describes a Probabilistic Fracture Mechanics(PFM) analysis based on Monte Carlo(MC) algorithms. Taking important parameters as probabilistic variables such as fracture toughness, crack growth rate and flaw shape, failure probability of major nuclear power plant components is archived as a results of MC simulation. For the verification of these analysis, a comparison study of the PFM analysis using other commercial code, mathematical method is carried out and a good agreement was observed between those results.

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자기 보고식 공학설계 역량 검사 도구 개발 (Development of The Self-Reported Measurement for Engineering Design Competency)

  • 김태훈;조한진;강문주
    • 공학교육연구
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    • 제23권1호
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    • pp.37-46
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    • 2020
  • The purpose of this study is to develop the self-reported measurement for engineering design competency. In this study, engineering design competency is defined as the overall individual ability that is necessary for an engineer for his/her successful accomplishment of engineering design. This measurement was developed through reviewing documents, defining factor and sub-factor, making an item and constructing validity verification. The self-reported measurement for engineering design competency consists of 6 factors and 40 items. 6 factors cover competency of design performance, competency of considering economic and social influence, competency of utilizing mathematical and scientific knowledge, competency of teamwork, competency of design-centered thinking and competency of collecting and using data. A 6-points Likert scale was used for each item.

동력 분기/순환 구조를 갖는 회전기계의 정성적 성능해석 (Performance Prediction of Rotating Machinery Having Power Split/Circulaled Transmission)

  • 조한상;이동준;이장무;박영일;임원식
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1994년도 추계학술대회 논문집
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    • pp.953-957
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    • 1994
  • A performance prediction method is presented in this paper for design of a rotating machinery having power split/circulated transmisson with slip elements and planetary gears. And internal power flow patterns of such systems are theoretically analyzed by using mathematical modeling. To estimate usefulness of the designed machinary, geometrical approach has been adopted through the performance locus diagram which represents overall characteristics of the system. This gives us complect prediction of the qualitative performane and effects of design factors such as system layout, types and gear ratios of planetary gears and disign parameters of slip elements. The results for one of them are compared with experimental ones using dynamometer for verification.

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Research on theoretical optimization and experimental verification of minimum resistance hull form based on Rankine source method

  • Zhang, Bao-Ji;Zhang, Zhu-Xin
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제7권5호
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    • pp.785-794
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    • 2015
  • To obtain low resistance and high efficiency energy-saving ship, minimum total resistance hull form design method is studied based on potential flow theory of wave-making resistance and considering the effects of tail viscous separation. With the sum of wave resistance and viscous resistance as objective functions and the parameters of B-Spline function as design variables, mathematical models are built using Nonlinear Programming Method (NLP) ensuring the basic limit of displacement and considering rear viscous separation. We develop ship lines optimization procedures with intellectual property rights. Series60 is used as parent ship in optimization design to obtain improved ship (Series60-1) theoretically. Then drag tests for the improved ship (Series60-1) is made to get the actual minimum total resistance hull form.