• 한국정밀공학회:학술대회논문집
• /
• 한국정밀공학회 2005년도 추계학술대회 논문집
• /
• pp.781-785
• /
• 2005

Cutting forces and tool deflection in end milling are represented as the closed form of tool rotational angle and cutting conditions. The discrete cutting forces caused by tool entry and exit are continued using the Fourier series expansion. Tool deflection is predicted by direct integration of the distributed loads on cutting edges. Cutting conditions, tool geometry, run-outs and the stiffness of tool clamping pan are considered for cutting forces and tool deflection estimation. Compared to numerical methods, the presented method has advantages in short prediction time and the effects of feeding and run-outs on cutting forces and tool deflection can be analyzed quantitatively. This research can be effectively used in real time machining error estimation and cutting condition selection for error minimization since the ferm accuracy is easily predicted by tool deflect ion curve.

• 한국소음진동공학회:학술대회논문집
• /
• 한국소음진동공학회 2000년도 추계학술대회논문집
• /
• pp.527-533
• /
• 2000

It is investigated that the characteristics of rotating cantilevered composite beam with a breathing crack. In the present study, the crack is modeled as a breathing crack which opens and closes with the motion of the unidirectional graphite-fiber reinforced polyimide beam. For the finite element analysis, the cracked element is modelled by the local flexibility matrix calculated on the basis of fracture mechanics using Castiligano theorem. Rotating beam is considered only transverse bending motion so that the element includes two degrees of freedom per node such as the transverse deflection and slope. The time history and frequency response function of the beam with a breathing crack are studied by Newmark direct time integration method and FFT(Fast Fourier Transform)simulation. Effects of various parameters such as the crack depths, crack locations, ply angles, volume fraction ratios, and rotating speeds of the beam are also studied. Numerical results indicate that it is more reliable to be modelled as a breathing crack than an open crack.

• Advances in materials Research
• /
• 제6권4호
• /
• pp.349-361
• /
• 2017

The nonlinear thermal buckling load parameter of the laminated composite panel structure is investigated numerically using the higher-order theory including the stretching effect through the thickness and presented in this research article. The large geometrical distortion of the curved panel structure due to the elevated thermal loading is modeled via Green-Lagrange strain field including all of the higher-order terms to achieve the required generality. The desired solutions are obtained numerically using the finite element steps in conjunction with the direct iterative method. The concurrence of the present nonlinear panel model has been established via adequate comparison study with available published data. Finally, the effect of different influential parameters which affect the nonlinear buckling strength of laminated composite structure are examined through numerous numerical examples and discussed in details.

• 반도체디스플레이기술학회지
• /
• 제9권2호
• /
• pp.61-65
• /
• 2010

For the adaption of roll-to-roll printing method to the printed electronics, it is mandatory to increase the resolution of register errors. Therefore it is desired to derive the mathematical modeling of register error or to develop controller design. The cross direction register error was derived considering both lateral motion of moving web and transverse position of printing roll. The mathematical modeling was validated and the relationship between the lateral motion and register error was analyzed by numerical simulations in various operating conditions using multi-layer direct gravure printing machine. The results could be used for a design of the CD register in the multi-layer printing and the lateral motion caused by translation.

• Steel and Composite Structures
• /
• 제32권6호
• /
• pp.821-832
• /
• 2019

An analysis on thermal buckling and postbuckling of composite laminated plates reinforced with a low amount of graphene platelets is performed in the current investigation. It is assumed that graphaene platelets are randomly oriented and uniformly dispersed in each layer of the composite media. Elastic properties of the nanocomposite media are obtained by means of the modified Halpin-Tsai approach which takes into account the size effects of the graphene reinforcements. By means of the von $K{\acute{a}}rm{\acute{a}}n$ type of geometrical nonlinearity, third order shear deformation theory and nonuniform rational B-spline (NURBS) based isogeometric finite element method, the governing equations for the thermal postbuckling of nanocomposite plates in rectangular shape are established. These equations are solved by means of a direct displacement control strategy. Numerical examples are given to study the effects of boundary conditions, weight fraction of graphene platelets and distribution pattern of graphene platelets. It is shown that, with introduction of a small amount of graphene platelets into the matrix of the composite media, the critical buckling temperature of the plate may be enhanced and thermal postbuckling deflection may be alleviated.

• Communications for Statistical Applications and Methods
• /
• 제26권2호
• /
• pp.175-189
• /
• 2019

The problem of the estimation of quantitative sensitive variable using the item sum technique (IST) on successive occasions has been discussed. IST difference, IST regression, and IST general class of estimators have been proposed to estimate quantitative sensitive variable at the current occasion in two occasion successive sampling. The proposed new estimators have been elaborated under Trappmann et al. (Journal of Survey Statistics and Methodology, 2, 58-77, 2014) as well as Perri et al. (Biometrical Journal, 60, 155-173, 2018) allocation designs to allocate long list and short list samples of IST. The properties of all proposed estimators have been derived including optimum replacement policy. The proposed estimators have been mutually compared under the above mentioned allocation designs. The comparison has also been conducted with a direct method. Numerical applications through empirical as well as simplistic simulation has been used to show how the illustrated IST on successive occasions may venture in practical situations.

• Journal of applied mathematics & informatics
• /
• 제41권1호
• /
• pp.107-121
• /
• 2023

An epidemic infectious disease model consists of six compartments viz. Susceptible, Exposed, Infected, Quarantine, Recovered, and Virus with nonlinear saturation incidence rate is proposed to know the viral disease dynamics. There exist two biological equilibrium points for the model system. The system's local and global stability is done through Lyapunov's direct method about equilibrium points. The sensitivity analysis has been performed for the basic reproduction number and equilibrium points through the normalized forward sensitivity index. Sensitivity analysis shows that virus growth and quarantine rates are more sensitive parameters. In support of mathematical conclusions, numerical experimentation has been shown.

• Advances in concrete construction
• /
• 제15권4호
• /
• pp.287-301
• /
• 2023

Hockey games attracts many fans around the world. This game requires a specific type of ball and a stick for controlling the motion and trace of the ball. This control of motion involves hitting the ball which is a direct intensive dynamic loading. The impact load transferred directly to the hand of the player and in the professional player may cause long term medical problems. Therefore, dynamic motion of the stick should be understood. In the current study, we analyze the dynamic motion of a hockey stick under impact loading from a hockey ball. In doing so, the stick geometry is simplified as a beam structure and quasi-2D relations of displacement is applied along with classical linear elasticity theory for isotropic materials. The governing equations and natural boundary condition are extracted using Hamilton's principle. The final equations in terms of displacement components are solved using Galerkin's numerical method. The results are presented using indentation and contact force values for variations of different parameters.

• Journal of applied mathematics & informatics
• /
• 제41권6호
• /
• pp.1377-1391
• /
• 2023

When sensitive topics such as gambling habits, drug addiction, alcoholism, tax evasion tendencies, induced abortions, drunk driving, past criminal involvement, and homosexuality are the focus of open or direct surveys, it becomes challenging to obtain accurate information due to nonresponse bias and response bias. People often hesitate to provide truthful answers. Warner introduced an ingenious method to address this issue. In this study, a new and unrelated randomized response model is proposed to eliminate misleading responses and nonresponses caused by the stigma associated with the attribute being investigated. The proposed randomized response model allows for the estimation of the population percentage with the sensitive characteristic in an unbiased manner. The characteristics and recommendations of the proposed randomized response model are examined, and numerical examples are provided to support the findings of this study.

• 한국구조물진단유지관리공학회 논문집
• /
• 제22권5호
• /
• pp.110-118
• /
• 2018

최근 발생한 지진들로 인해 한국도 지진 안전지대가 아니라는 인식이 확산되고 있다. 이에 사회 기반시설물에 대한 다각도의 내진 안전성 검토가 수행되고 있다. 전력구는 대표적인 송전시설물의 하나로 땅 속에 묻혀있는 지중 구조물이 갖는 특성으로 인해 구조물 자체의 관성, 내하력 뿐만 아니라 주변부의 지반특성을 함께 고려해야만 한다. 이를 위해서는 지반과의 상호작용을 고려할 수 있는 엄밀한 수치해석이 요구되나, 많은 비용과 시간이 요구되는 구조물-지반 상호작용해석을 모든 전력구에 적용하기엔 무리가 따른다. 본 연구에서는 지반특성과 관련된 변수를 포함하는 주요 설계변수를 독립변수로 하고 내진성능에 대한 안전율을 종속변수로 하는 직접적인 상관관계 분석을 통하여 비용이 큰 수치해석을 배제하면서도 내진안전율이 낮은 취약 전력구를 선별할 수 있는 방안을 제시하였다. 높은 상관성을 보이는 토피고와 철근량을 주요 독립변수로 설정하고 종속변수인 내진안전율과의 분포를 바탕으로 경계방정식을 도출하였다. 이를 이용하여 지진취약 전력구를 수치해석과정 없이 선별하는 방안을 제시하였다. 대상으로 한 108개의 전력구 중 30%가 지진취약 전력구로 선별되었으며, 선별된 전력구의 내진 안전율 확인을 통해 타당한 선별 방안임을 확인하였다. 제안 기법은 상대적으로 매우 단순하며 추가적인 데이터에 적용하기 쉽고 확장이 용이하다.