• 제목/요약/키워드: moment problems

검색결과 425건 처리시간 0.021초

Critical buckling moment of functionally graded tapered mono-symmetric I-beam

  • Rezaiee-Pajand, Mohammad;Masoodi, Amir R.;Alepaighambar, Ali
    • Steel and Composite Structures
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    • 제39권5호
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    • pp.599-614
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    • 2021
  • This study deals with the Lateral-Torsional Buckling (LTB) of a mono-symmetric tapered I-beam, in which the cross-section is varying longitudinally. To obtain the buckling moment, two concentrated bending moments should be applied at the two ends of the structure. This structure is made of Functionally Graded Material (FGM). The Young's and shear modules change linearly along the longitudinal direction of the beam. It is considered that this tapered beam is laterally restrained continuously, by using torsional springs. Furthermore, two rotational bending springs are employed at the two structural ends. To achieve the buckling moment, Ritz solution method is utilized. The response of critical buckling moment of the beam is obtained by minimizing the total potential energy relation. The lateral and torsional displacement fields of the beam are interpolated by harmonic functions. These functions satisfy the boundary conditions. Two different support conditions are considered in this study. The obtained formulation is validated by solving benchmark problems. Moreover, some numerical studies are implemented to show the accuracy, efficiency and high performance of the proposed formulation.

착지 시 외부 무게 부하에 따른 남성과 여성의 하지 관절 각속도, 모멘트, 에너지 흡수에 미치는 영향 (Effect of Added Mass between Male and Female on The Lower Extremity Joints Angular Velocity, Moment, Absorb Energy During Drop Landing)

  • 권문석
    • 한국운동역학회지
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    • 제22권3호
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    • pp.325-332
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    • 2012
  • This study aimed to analyze the effects of external load between male and female on angular velocity, moment, and absorbed energy of the lower-extremity joints during drop landing. The study subjects were 9 male($mass=70.82{\pm}4.64kg$, $height=1.71{\pm}0.04m$, $age=24.5{\pm}1.84years$), 9 female($mass=50.14{\pm}4.09kg$, $height=1.61{\pm}0.03m$, $age=23.6{\pm}2.62years$), without any serious musculoskeletal, coordination, balance, or joint/ligament problems for 1 year before the study. The angular velocity, flexion/extension and abduction/adduction moments, and absorbed energy of the lower-extremity joints were compared between the men and women during drop landing under 4 different conditions of external load(0%, 8%, 16%, and 24%) by using two-way repeated ANOVA(p < .05). The women landed with a greater peak angular velocity of the ankle joint, greater peak inversion moment, and lower peak hip-extension moment than the men did, under all 4 conditions. Additionally, the landing characteristics of the women were distinct from those of the men; the women showed a greater peak knee-adduction moment and greater absorbed energy of the knee joint. These differences indicate that anterior cruciate ligament(ACL) strain was greater in the women than in the men and therefore, women may be at a higher potential risk for noncontact injuries of the ACL with an increase in external load.

일축 대칭 I 형 보의 모멘트 구배계수에 대한 연구 (A Study on the Moment Gradient factor of Mono-symmetric I Beam)

  • 김윤종;임남형;박남회;강영종
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2000년도 춘계학술대회 논문집
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    • pp.439-446
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    • 2000
  • 본 연구에서는 절점당 7자유도(뒤틀림 자유도 포함)를 갖는 보요소를 개발하여, 와그너 효과(Wagner Effect) 및 하중고 효과(Load Height Effect)가 일축 대칭 I 형보의 횡좌굴 강도에 미치는 영향을 파악하였다. 하중의 종류는 단면내 다양한 높이에 작용하는 횡방향 하중과 선형 모멘트 구배하중을 고려하였으며, 이들 하중에 의한 비지지 길이내 단일곡률의 휨과 역의 곡률의 휨이 생길때의 좌굴해석을 수행하였다. 현행 LRFD $C_{b}$ 계수의 일축 대칭 I 형 보에의 적용성을 검토하였으며, 하중고 효과(Load height effect) 및 비지지 길이내 역의 곡률(Reverse curvature bending) 발생시에 생기는 문제점들을 고찰해 보고, 해결방안을 제시하였다.

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2차원 열전도 문제에 대한 Fast Multipole 경계요소법의 이론과 실행 알고리즘의 분석 (Algorithm and Implementation of Fast Multipole Boundary Element Method with Theoretical Analysis for Two-Dimensional Heat Conduction Problems)

  • 최창용
    • 대한기계학회논문집B
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    • 제37권5호
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    • pp.441-448
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    • 2013
  • 본 논문에서는 조밀한 계수행렬로 인해 경계요소 개수의 증가에 따른 계산 시간의 급격한 증가때문에 대규모 문제를 쉽게 다룰 수 없는 기존 BEM 문제를 획기적으로 개선하는 새로운 BEM 해법인 FM-BEM을 소개한다. 단순한 2차원 정상상태 열전도문제를 통해서 FM-BEM과 기존 BEM의 계산시간과 정확도에 대한 해석 결과를 제시하였으며, 이로부터 FM-BEM 해법이 기존 BEM과 유사한 정확도를 유지하면서도 계산 속도를 획기적으로 높인다는 결과를 확인하였다. 결과적으로 본 연구에서는 FM-BEM의 적용 이론 및 관련 실행 알고리즘들을 고찰하고 이를 통해서 FM-BEM의 효용성을 검증하였으며, 향후 다양한 공학적 문제로의 적용 범위를 확대하고자 한다.

순수 비틀림 모멘트를 받는 직교 이방성체의 광탄성 시험법 개발에 관한 연구( I )-차원 광탄성 실험법 모델의 절단법과 $G_{i} 와 f_{ij}$ 의 측정법 - (A Study on the Development of Photoelastic Experiment for Orthotropic Material Under Pure Torsional Moment (I) : The Slicing Method Of 3-Dimensional Photoelastic Experiment Model And The Measuring Method of $G_{I} And f_{Ij}$)

  • 황재석;방창일
    • 대한기계학회논문집
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    • 제15권2호
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    • pp.424-435
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    • 1991
  • To develop the photoelastic experiment method for the orthotropic material under pure torsional moment is the main objective of this research. In the development of photoelastic experiment for orthotropic material under pure torsional moment, the important problems and their solutions are the same as following. In the model material for photoelastic experiment, it was found that C.F.E.C.(Copper Fiber Epoxy Composite) can be used as the model material of photoelastic experiment for orthotropic material. In the stress freezing cycle, it was assured that stress freezing cycle for epoxy can be used as the stress freezing cycle of the photoelastic experiment for orthotropic material. In the slicing method, it was found that the negative oblique slicing method can be effectively used as slicing method in 3-dimensional photoelastic experiment. In the measuring method of stress fringe values and physical properties in the high temperature, it was found that stress fringe values can be directly measured by experiment and physical properties can be directly or indirectly by equation between stress fringe values and physical properties developed by author. In the stress analysis method of orthotropic material under pure torsional moment by photoelastic experiment, it will be studied in the second paper.

Fourier-Galerkin Moment Method를 이용한 접지된 2개 유전체층 위의 완전도체띠 격자구조에 의한 TE 산란의 해 (Solution of TE Scattering by a Perfectly Conducting Strip Grating Over the Grounded Two Dielectric Layers Applying Fourier-Galerkin Moment Method)

  • 윤의중
    • 한국항행학회논문지
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    • 제16권4호
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    • pp.635-640
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    • 2012
  • 본 논문에서는 접지된 2개의 유전체층 위의 도체띠 격자구조에 의한 TE (Transverse Electric) 산란문제를 도체경계조건과 수치해석 방법인 FGMM (Fourier-Galerkin Moment Method)를 적용하여 해석하였으며, 이 때 유도되는 표면전류밀도는 미지의 계수와 단순한 함수인 지수함수의 곱의 급수로 전개하였다. 전반적으로, 제안된 구조에서 영역-2의 유전체층의 비유전율 ${\epsilon}_{r2}$과 유전체 층의 두께 $t_2$가 증가함에 따라 반사전력이 증가하였다. 반사전력의 급변점들은 공진효과에 기인한 것으로 과거에 wood's anomaly라고 불리워졌으며, 수치계산 결과들은 기존 논문의 결과들과 일치하였다.

함수근사모멘트방법의 신뢰도 기반 최적설계에 적용 타당성에 대한 연구 (Study on Feasibility of Applying Function Approximation Moment Method to Achieve Reliability-Based Design Optimization)

  • 허재성;곽병만
    • 대한기계학회논문집A
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    • 제35권2호
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    • pp.163-168
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    • 2011
  • 설계단계에서 시스템의 불확실성을 반영하려는 노력이 다양하게 이루어지고 있으며, 강건 최적설계 혹은 신뢰도 기반 최적설계는 이에 대한 대표적인 설계 방법론이다. 실제 문제에 이러한 방법론을 적용하기 위해서는 성능함수의 통계적 모멘트와 손상확률에 대한 정확하고 효율적인 추정 방법이 필요하고, 더불어 최적화를 위한 방향탐색과정에서 요구되는 민감도 해석의 정확성 및 효율성이 확보되어야 한다. 본 연구에서는 함수근사모멘트 방법을 기존에 유도된 적분 형태의 민감도 해석 식에 적용하여 그 민감도 해석 결과의 정확성을 확인하고, 이를 대표적인 신뢰도 기반 최적설계 문제에 적용하고자 한다. 민감도 해석 결과 및 신뢰도 기반 최적설계 결과를 타방법의 결과와 비교하여 함수근사모멘트 방법의 타당성을 입증하고자 한다. 활용된 적분 형태의 민감도 해석은 손상확률 혹은 통계적 모멘트가 계산된 경우 추가적인 함수 계산 없이 민감도를 얻을 수 있는 효율적인 방법이다.

후방추돌시 목상해를 고려한 승객거동해석 및 좌석설계 (Occupant Analysis and Seat Design to Reduce the Neck Injury for Rear End Impact)

  • 신문균;박기종;박경진
    • 한국자동차공학회논문집
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    • 제7권9호
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    • pp.182-194
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    • 1999
  • Occupant injury in rear end impact is rapidly becoming one of the most aggravating traffic safety problems with high human suffering and societal costs. Although rear end impact occurs at relatively low speed , it may cause permanent disability due to neck injuries resulting from an abrupt moment, shear force , and tension/compression force at the occipital condyles. The analysis is performed for a combined occupant-eat model response, using the SAFE(Safety Analysis for occupant crash Environment) computer program. The computational results are verified by those from sled tests. A parameter study is conducted for many physical and mechanical properties. Seat design has been performed based on the design of experiment process with respect to five parameters; seat-back upholstery stiffness, torsional stiffness of the seat-back. An orthogonal array is selected from the parameter study. A good design has been found from the analysis results based on the orthogonal array. The results show that reductions of stiffness in seat-back upholstery and joint are the most effective for preventing neck injuries.

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삼연모먼트정리의 매트릭스산법에 의한 박용추진축계 배치계산에 관한 연구 (A Study on the Propulsion Shaft Alignment Calculation by the Matrix Method of Three-Moment Theory)

  • 문덕홍;전효중
    • Journal of Advanced Marine Engineering and Technology
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    • 제5권1호
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    • pp.20-27
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    • 1981
  • The alignment of propulsion shaft systems by the fair curve method has been developed over the past twenty years and in recent years its basic problems have been almost solved. At the present time, studies on introducing actual conditions are being undertaken. In a fair curve alignment, its aim is to achieve a stable shaft system which will be relatively insensitive to misalignment or the influence of external factors such as thermal variations due to the sunshine, speed change, etc. The key point of fair curve alignment is the calculations of reactions in the straight support and reaction influence numbers. The present authors have developed those calculating method by the matrix method of the three-moment theorem. The fair curve alignment is based on the analysis of propulsion shaft system which is assumed as a continous beam on multiple support points. The propeller shaft is divided into several elements. For each element, the nodal point equation is derived by the three-moment theorem. Reaction of supporting points of straight shaft and reaction influence numbers are calculated by the matrix calculation of each nodal point equation. It has been found that results of calculation for the model shaft agree well with those of experiment which had been measured by the strain gauge method. Results of calculation for the actual propulsion shafting of the steam turbine had been compared also with those of Det norske Vertas.

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스트레인게이지를 이용한 회전체의 축정렬 연구 (A Study on Shaft Alignment of the Rotating Machinery by Using Strain Gages)

  • 김경석;장완식;나상수;정현철
    • 한국정밀공학회지
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    • 제19권5호
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    • pp.126-132
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    • 2002
  • Misaligned shafts of the rotating machinery have caused noise, vibration. bearing failures, and stress concentration of coupling parts which decrease the efficiency and life of shaft systems. Therefore the proper shaft alignment of those system should be monitored continuously in dynamic condition. To solve these problems under dynamic condition a telemetry system is used. In this study, the condition of the least bending moment which is known by analyzing the structure and stress induced by misalignment is found. After the shaft is aligned by dial gage, a telemetry system with strain gages is installed on shaft. The relationship between bearing displacement and moment of coupling part influenced by misalignment is investigated. The moment derived from two shaft strain at the nearby coupling is measured. The bending strain is measured 5 times for average in static state as well as in dynamic state with 100∼700 rpm.