• 한국표면공학회지
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• 제33권2호
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• pp.107-114
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• 2000

In this study, we investigated the possibility of the application of the EzROBO system to direct shaping techniques which can make arbitrary shapes without any specific mold. We formed arbitrary shapes using raw materials of EH-260D (Epoxy＋Binder) with the conditions of $250\mu\textrm{m}$ layer thickness, 0.2MPa working pressure, 20mm/sec working velocity, and 1.8mm needle thickness. The developed Spatial Printing Technique showed enhanced working velocity and lower cost than existing 3DP process, and is expected to replace the existing process through the process optimization in the future.

• 대한기계학회논문집
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• 제17권12호
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• pp.3094-3104
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• 1993

The five punch and die sets are selected as the examples of arbitrary cross sections which have two opposite inclined sides. Two kinds of blank shapes are designed for all cross sections. One(h-b1.) is determined by slip-line theory and the other (G-b1.) is determined conventionally as the similar shapes with the cross sections which were used by Gopinathan. As a result of the experimental procedures, the superiority of the blank shapes designed by slip-line theory is verified in the limiting drawing ratio, the uniformity of cup height and the thickness distributions.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 1995년도 춘계학술대회논문집; 전남대학교, 19 May 1995
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• pp.18-21
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• 1995

A numerical method is presented to obtain natural frequencies and mode shapes of the arbitrary tapered beams with static deflections due to arbitrary distributed dead loads. The differential equation governing the free vibration is derived and solved numerically. In the numerical example, the linearly tapered beams and both the triangular and sinusoidal distributed dead loads are chosen. The lowest three natural frequencies are reported and typical mode shapes are presented in the figure.

• 한국멀티미디어학회논문지
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• 제5권3호
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• pp.255-262
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• 2002

윤곽선 시퀀스는 임의 형상을 간단하면서도 정확하게 표현할 수 있는 좋은 표현법이 될 수 있다. 그러나, 형상을 구성하는 화소로부터 쉽게 구할 수 있는 면적, 무게중심, 오리엔테이션 방향, 투영 히스토그램 등과 같은 형상 특징들을 윤곽선 시퀀스로부터 직접 구하기는 어렵기 때문에, 윤곽선 시퀀스를 임의 형상에 대한 표현법으로 잘 사용하지 못하였다. 본 논문에서는 형상 내부의 연속된 화소들로 구성된 수직(또는 수평)의 라인 세그먼트를 의미하는 크로스 섹션 개념을 이용하여, 윤곽선 시퀀스로부터 형상 특징들을 쉽게 구할 수 있음을 보인다. 윤곽선 시퀀스를 한번 순차적으로 탐색함으로써 크로스 섹션을 효율적으로 구할 수 있는 방법을 제안한다. 또한, 이진 영상으로부터 여러 형상의 윤곽선 시퀀스를 자동으로 추출할 수 있는 효율적인 방법도 함께 제안한다. 제안된 방법들은 형상 내부에 홀(hole)이 있는 경우에도 적용할 수 있다. 결과적으로, 윤곽선 시퀀스가 임의 형상 영역에 대한 매우 효과적인 표현이 될 수 있음을 밝힌다.

• Structural Engineering and Mechanics
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• 제6권2호
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• pp.173-183
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• 1998

In the shape design of flexible structures, it is useful to predict the initial shape from the desirable large deformed shapes under some loading conditions. In this paper, we present a numerical procedure of an initial shape determination problem for hyperelastic materials which enables us to calculate an initial shape corresponding to the prescribed deformed shape and boundary condition. The present procedure is based on an Arbitrary Lagrangian-Eulerian (ALE) finite element method for hyperelasticity, in which arbitrary change of shapes in both the initial and deformed states can be treated by considering the variation of geometric mappings in the equilibrium equation. Then the determination problem of the initial shape can be formulated as a nonlinear problem to solve the unknown initial shape for the specified deformed shape that satisfies the equilibrium equation. The present approach can be implemented easily to the finite element method by employing the isoparametric hypothesis. Some basic numerical results are also given to characterize the present procedure.

• Structural Engineering and Mechanics
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• 제70권6호
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• pp.711-722
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• 2019

Considering stress singularities at point support locations, buckling solutions for plates with arbitrary number of point supports are hard to obtain. Thus, new Hp-Cloud shape functions with Kronecker delta property (HPCK) were developed in the present paper to examine elastic buckling of point-supported thin plates in various shapes. Having the Kronecker delta property, this specific Hp-Cloud shape functions were constructed through selecting particular quantities for influence radii of nodal points as well as proposing appropriate enrichment functions. Since the given quantities for influence radii of nodal points could bring about poor quality of interpolation for plates with sharp corners, the radii were increased and the method of Lagrange multiplier was used for the purpose of applying boundary conditions. To demonstrate the capability of the new Hp-Cloud shape functions in the domain of analyzing plates in different geometry shapes, various test cases were correspondingly investigated and the obtained findings were compared with those available in the related literature. Such results concerning these new Hp-Cloud shape functions revealed a significant consistency with those reported by other researchers.

• 한국농공학회지
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• 제38권3호
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• pp.50-57
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• 1996

A numerical method is presented to obtain the natural frequencies and mode shapes of the arbitrary tapered beams with static deflection due to arbitrary distributed dead loads. The differential equation governing free vibration of such beams is derived and solved numerically. The double integration method using the trapezoidal rule is used to solve the static behaviour of beams loaded arbitrary distributed dead load. Also, the Improved Euler method and the determinant search method are used to integrate the differential equation subjected to the boundary conditions and to determine the natural frequencies of the beams, respectively. In the numerical examples, the various geometries of the beams are considered : (1) linearly tapered beams as the arbitrary variable cross-section, (2) the triangular, sinusoidal and uniform loads as the arbitrary distributed dead loads and (3) the hinged-hinged, clamped-clamped and hinged-clamped ends as the end constraints. All numerical results are shown as the non-dimensional forms of the system parameters. The lowest three natural frequencies versus load parameter, slenderness ratio and section ratio are reported in figures. And for the comparison purpose, the typical mode shapes with and without the effects of static deflection are presented in the figure. According to the numerical results obtained in this analysis, the following conclusions may be drawn : (1) the natural frequencies increase when the effects of static deflections are included, (2) the effects are larger at the lower modes than the higher ones and (3) it should be betteF to include the effect of static deflection for calculating the frequencies when the beams are supported by both hinged ends or one hinged end.

• Structural Engineering and Mechanics
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• 제63권4호
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• pp.551-565
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• 2017

In this paper, an analytical approach is proposed for determining vibration characteristics of cracked non-uniform continuous Timoshenko beam carrying an arbitrary number of spring-mass systems. This method is based on the Timoshenko beam theory, transfer matrix method and numerical assembly method to obtain natural frequencies and mode shapes. Firstly, the beam is considered to be divided into several segments by spring-mass systems and support points, and four undetermined coefficients of vibration modal function are contained in each sub-segment. The undetermined coefficient matrices at spring-mass systems and pinned supports are obtained by using equilibrium and continuity conditions. Then, the overall matrix of undetermined coefficients for the whole vibration system is obtained by the numerical assembly technique. The natural frequencies and mode shapes of a cracked non-uniform continuous Timoshenko beam carrying an arbitrary number of spring-mass systems are obtained from the overall matrix combined with half-interval method and Runge-Kutta method. Finally, two numerical examples are used to verify the validity and reliability of this method, and the effects of cracks on the transverse vibration mode shapes and the rotational mode shapes are compared. The influences of the crack location, depth, position of spring-mass system and other parameters on natural frequencies of non-uniform continuous Timoshenko beam are discussed.

• 소음진동
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• 제5권3호
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• pp.345-352
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• 1995

A very simple and computationally efficient numerical method is developed for the free vibration of arbitrary shape plates. A set of two- dimensional simple series functions is used as an admissible displacement functions in the Rayleigh-Ritz method to obtain the natural frequencies for the arbitrary shape plates. From the prescribed starting function satisfying only the geometric boundary conditions, the higher terms in the series function are constructed with adding order of polynomial. Natural frequencies are obtained for the arbitrary shape plates, with combinational boundary conditions. The obtained numerical results are presented, some cases are verified with other numerical methods in the literature.

• 한국구조물진단유지관리공학회 논문집
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• 제12권1호
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• pp.81-90
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• 2008

본 연구에서는 유한 요소법과 고도화된 손상 탐지 기법을 결합하여 구조적 손상을 규명하는 방법을 다룬다. 본 연구의 특징은 충격하중을 받는 구조물의 동적 거동 특성을 분석하여 이를 임의의 손상 형태를 갖는 판에 적용한다는 것이다. 이러한 방법은 손상된 부위의 강성 분포를 추정할 뿐만 아니라 손상의 정도도 파악할 수 있는 장점을 갖으며 분할 요소수의 제한을 두지 않는다. 제안된 방법을 검증하기 위하여 본 알고리즘은 임의의 손상을 갖는 박판에 대하여 적용하기 한다. 수치해석 결과로부터 제안된 알고리즘은 수치적 효율성과 함께 임의의 손상 분포를 규명할 수 있음을 보여준다.