• 제목/요약/키워드: 절삭방정식

검색결과 12건 처리시간 0.01초

절삭된 연립방정식 모형의 추정에 대한 몬테칼로 비교 (Estimation of nonlinear censored simultaneous equations models : An Application of Quasi Maximum Likelihood Methods)

  • 이회경
    • 응용통계연구
    • /
    • 제4권1호
    • /
    • pp.13-24
    • /
    • 1991
  • 절산된 선형의 단일방정식 회귀모형의 추정은 Tobin(1958)에 의하여 처음으로 조사된 후 Amemiya(1973)를 기점으로 활발한 연구가 진행되었으나, 절삭된 비선형의 연립방정식 모형에 대하여는 연구결과가 거의 전무한 상태이다. 본 논문에서는 단순한 형태의 절삭된 비선형 연립방정식 모형을 가정하고 이 모형을 대상으로 몇가지 가능한 추정방법들 즉, 구조방정식에 대한 최우추정량(MLE)과 Lee and Hurd(1989)에서 소개된 2단계 준최우추정량(2QMLE) 및 또 다른 대안이 될 수 있는 추정량을 서로 몬테칼로 방법으로 비교 검토하였다. 그 결과 MLE의 적용이 실제적으로 불가능한 상황에서는 2QMLE가 MLE의 대안으로 충분히 사용될 수 있음을 보여 주었다.

  • PDF

반응표면법을 이용한 구성방정식의 온도계수 결정과 절삭력 예측 (Determination of the Temperature Coefficient of the Constitutive Equation using the Response-Surface Method to Predict the Cutting Force)

  • 구병문;김태호;박정수
    • 한국기계가공학회지
    • /
    • 제20권10호
    • /
    • pp.9-18
    • /
    • 2021
  • The cutting force in a cutting simulation is determined by the cutting conditions, such as cutting speed, feed rate, and depth of cut. The cutting force changes, depending on the material and cutting conditions, and is affected by the heat generated during cutting. The physical properties for predicting the cutting force use constitutive equations as functions of the hardening term, rate-hardening term, and thermal-softening term. To accurately predict the thermal properties, it is necessary to accurately predict the thermal-softening coefficient. In this study, the thermal-softening coefficient was determined, and the cutting force was predicted, using the response-surface method with the cutting conditions and the thermal-softening coefficient as factors.

기계구조용 탄소강(SM45C)의 단속절삭 시 절삭력예측을 위한 회귀방정식 도출 (Regression Equation Deduction for Cutting Force Prediction during Interrupted Cutting of Carbon Steel for Machine Structure (SM45C))

  • 배명일;이이선
    • 한국기계가공학회지
    • /
    • 제15권4호
    • /
    • pp.40-45
    • /
    • 2016
  • Interrupted cutting has different cutting characteristics compared with continuous cutting. In interrupted cutting, the workpiece has a groove that regularly impacts the cutting tool and workpiece. Therefore, tool damage occurs rapidly, and this increases the cutting force and surface roughness. In this study, we performed interrupted cutting of carbon steel for machine structure (SM45C) using a coated carbide tool (TT7100). To predict the cutting force, we analyzed the experimental results with a regression analysis. The results were as follows: We confirmed that the factors affecting the principal force and radial force were cutting speed, depth of cut, and feed rate. From the multi-regression analysis, we deduced regression equations, and their coefficients of determination were 89.6, 89.27, and 28.27 for the principal, radial, and feed forces, respectively. This means that the regression equations were significant for the principal and radial forces but not for the feed force.

2차원 절삭에서 FEM 해석의 유효성에 관한 연구 (A Study on the Effectiveness of Finite Element Method in Orthogonal Cutting)

  • 윤재웅;김홍석
    • 한국생산제조학회지
    • /
    • 제19권1호
    • /
    • pp.42-49
    • /
    • 2010
  • In general, the direct experimental approach to study machining processes is expensive and time consuming, especially when a wide range of parameters are included: tool, geometry, materials, cutting conditions, etc. The aim of this study is to verify the effectiveness of finite element method for orthogonal cutting process by comparing the simulated cutting forces with measured results. Two commercialized finite element codes $AdvantEdge^{TM}$ and Deform-$2D^{TM}$ have been used to simulate the cutting forces in orthogonal cutting process. In this paper, estimated cutting and feed force components are compared with experimental results for different two materials. As a result, it has been found that FEM simulation is effective for understanding and predicting the orthogonal cutting process although some improvements on friction model and remeshing process are needed.

CV 흑연주철의 기지조직변화가 절삭성에 미치는 영향 (The Effect of Matrix of Compact Vermicular Graphite Cast Iron on Machinability in Lathe Turning)

  • 안상욱;박종봉
    • 한국정밀공학회지
    • /
    • 제5권1호
    • /
    • pp.50-62
    • /
    • 1988
  • An experimental investigation of the machining characteristics of compact vermicular cast iron whose matrix were formulated under two kinds of annealing conditions has been conducted. The various characteristics of the machinability of CA cast iron depending upon its matrix and cutting condition have been obtained from the experiment. The results are as follow. As depth of cut increases, the shear stress slightly decreases in order $P_1, \P_2, \P_3$ which are classified by ferrite matrix of CV cast iron. As depth of cut increases, the normal stress increases, and annealing effect in heavy cutting is smaller than that in light cutting. The cutting energy slightly decreases, as depth of cut increases and the effect of annealing on cutting energy in light cutting is higher than that in heavy cutting. The cutting equation in this study are as follow. $P_1\:\2{\phi}\ + \1.49({\beta} - {\alpha} )=84^{\circ}$ $P_2\:\2{\phi}\ + \1.36({\beta} - {\alpha} )=82^{\circ}$ $P_3\:\2{\phi}\ + \1.34({\beta} - {\alpha} )=79^{\circ}$ Machining constants in this study for $P_1, P_2, P_3$give $74^{\circ} , 66^{\circ}, 61^{\circ}$ Tool wear increases as depth of cut increases, and decreases as ferrit matrix increases.

  • PDF

S-K 구성방정식을 이용한 프린터용 3D Ti-6Al-4V 재료의 유동응력 결정 및 절삭력 예측 (Determination of Flow Stress and Cutting Force Prediction of Ti-6Al-4V Material for 3D Printer using S-K Constitutive Equation)

  • 박대균;김태호;전언찬
    • 한국기계가공학회지
    • /
    • 제17권6호
    • /
    • pp.68-74
    • /
    • 2018
  • Study on the Ti-6Al-4V have been carried out using cutting simulation, and researches for cutting force and chip shape prediction have been actively conducted under various conditions. However, a 3D printer application method using Ti-6Al-4V metal powder material as a high-power method has been studied for the purpose of prototyping, mold modification and product modification while lowering material removal rate. However, in the case of products / parts made of 3D printers using powder materials, problems may occur in the contact surface during tolerance management and assembly due to the degradation of the surface quality. As a result, even if a 3D printer is applied, post-processing through cutting is essential for surface quality improvement and tolerance management. In the cutting simulation, the cutting force and the chip shape were predicted based on the Johnson-Cook composition equation, but the shape of the shear type chip was not predictable. To solve this problem, we added a damaging term or strain softening term to the Johnson-Cook constitutive equation to predict chip shape. In this thesis, we applied the constant value of the S-K equations to the cutting simulation to predict the cutting force and compare with the experimental data to verify the validity of the cutting simulation and analyzed the machining characterization by considering conditions.

새로운 急速 工具壽命 試驗法에 관한 硏究 II (A Study of New Quick Tool-Life Testing Method (II) - The Developement a New Testing Method of Step-Cutting -)

  • 오양균;정동윤
    • 대한기계학회논문집
    • /
    • 제11권1호
    • /
    • pp.154-159
    • /
    • 1987
  • 본 논문에서는 제1보의 결과를 이용하여 절삭속도가 서로 다른 경우의 공구마 멸량을 단일공구에 집적하여 측정할 수 있는지의 가능성 여부를 검토한 후, 절삭속도 를 단계별로 변화시키면서 단일공구로 측정한 각 절삭속도에서의 마멸량(단계절삭자료 라 한다)을 이용하여 측면마멸곡선의 일반모델상수를 결정할 수 있는 계단절삭공식을 유도하였다. 또한 결정된 일반모델상수를 이용하여 Taylor지수와 상수를 구할 수 있 는 수정 Taylor방정식을 제시하고, 공구수명곡선을 구하였다. 그리고 본 연구결과의 신뢰성을 검증하기 위하여 SM45C, P20, 0.3mm/rev., 1.5mm(절삭깊이)의 절삭조건에서 절삭시간과 속도를 변수로 한 기존 시험법의 결과와 비교하였다.

球狀黑鉛鑄鐵의 基地組織이 切削性에 미치는 影響 I (The Effect of Matric of Nodular Graphite Cast Iron on Machinability in Lathe Turning)

  • 성환태;안상욱
    • 대한기계학회논문집
    • /
    • 제11권1호
    • /
    • pp.74-81
    • /
    • 1987
  • 본 논문에서는 구상흑연주철을 어니일링하여 퍼라이트기지와 페라이트기지의 양을 조정하므로서 절삭성이 어느 정도 향상되는가를 실험검토하였다. 제일보에서는 퍼라이트기지가 페라이트기지로 변화할 때에 절삭비, 전단각 및 절삭저항에 어떠한 영 향을 주는가를 검토하였고, 본보에서는 기지조직의 변화가 전단응력 및 절삭에너지에 미치는 영향을 검토하였으며 각조직에 대한 절삭방정식과 절삭정수를 결정하였다.

단침보강 세라믹 공구를 이용한 플라스틱 금형강(STAVAX)의 선삭가공 (Turning of Plastic Mold Steel(STAVAX) using Whisker Reinforced Ceramic)

  • 배명일;이이선
    • 한국기계가공학회지
    • /
    • 제11권6호
    • /
    • pp.36-41
    • /
    • 2012
  • In this study, we turning plastic mold steel (STAVAX) against cutting speed, depth of cut, feed rate using whisker reinforced ceramic tool (WA1). To predict cutting force, analyze principal, radial, feed force with multi-regression analysis. Results are follows: From the analysis of variance, affected factor to cutting force feed rate, depth of cut, cutting speed in order and cutting speed was very small affect to cutting force. From multi-regression analysis, we extracted regression equation and the coefficient of determination$(R^2)$ was 0.9, 0.88, 0.856 at principal, radial and feed force. It means regression equation is significant. From the experimental verification, it was confirmed that principal, radial and feed force was predictable by regression equation.

초경피복공구를 이용한 기계구조용 탄소강의 단속절삭시 표면거칠기 예측 (Surface Roughness Prediction of Interrupted Cutting in SM45C Using Coated Tool)

  • 배명일;이이선
    • 한국기계가공학회지
    • /
    • 제13권3호
    • /
    • pp.77-82
    • /
    • 2014
  • In this study, we carried out the interrupted cutting of carbon steel for a machine structure (SM45C) with a CVD-coated tool and conducted an ANOVA test and a confidence interval analysis to find factors influence the surface roughness and to obtain a regression equation. We found that factor which mostly affects the surface roughness during interrupted cutting was the feed rate. The cutting speed and depth of the cut only had small effect on the surface roughness. From the result of a multi-regression analysis during an interrupted cutting experiment, we obtained regression equation. Its coefficient of determination was 0.918, indicating that the regression equation was predictable. Compared to continuous cutting, if the feed rate increases, the surface roughness will also increase during interrupted cutting.