• 제목/요약/키워드: minimal element

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고차경계요소법을 이용한 2차원 비선형 방사문제의 수치해석 (Numerical Analysis of Two-Dimensional Nonlinear Radiation Problem Using Higher-Order Boundary Element Method)

  • 성홍근;최항순
    • 대한조선학회논문집
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    • 제37권1호
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    • pp.67-81
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    • 2000
  • 본 연구에서는 2차원 비선형 방사문제에 대한 정확하고 효과적인 수치기법을 개발하였다. 물체운동에 의해서 생성되는 비선형파계는 이상유체라는 가정에 의하여 기술되고, 라프라스 방정식은 고차경계요소법과 GMRES(Generalized Minimal RESidual) 알고리즘을 이용하여 신속하고 효율적인 풀이가 가능하도록 하였다. 자유표면과 물체면의 교차점에서 발생하는 교차선문제는 불연속 요소를 이용하여 원활하게 해결하였다. 자유표면의 비선형운동을 기술하기 위해서 음해적 사다리꼴 법칙(implicit trapezoidal rule)을 사용하여 시적분하였다. 물체에 의해서 발생한 비선형파가 수직 하류면에서 반사하는 것을 줄이기 위하여 하류면에 수치감쇠항을 도입하였다. 수치계산 결과로부터 본 시적분법 및 수치방사조건이 비선형 방사문제에 매우 적합함을 확인하였다. 시적분 과정에서 자유표면의 격자점들을 재배치함으로써 수치해법의 효율성을 배가하였으며, 교차점근처의 유동 또한 정확하게 기술하였다. 가속도 포텐셜(acceleration potential) 기법을 이용하여 정확하고 안정하게 비선형 방사력을 구하였다. 본 수치계산결과는 다른 수치계산 및 실험결과와 비교하여 볼 때, 좋은 일치를 보인다.

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ON INJECTIVITY AND P-INJECTIVITY, IV

  • Chi Ming, Roger Yue
    • 대한수학회보
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    • 제40권2호
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    • pp.223-234
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    • 2003
  • This note contains the following results for a ring A : (1) A is simple Artinian if and only if A is a prime right YJ-injective, right and left V-ring with a maximal right annihilator ; (2) if A is a left quasi-duo ring with Jacobson radical J such that $_{A}$A/J is p-injective, then the ring A/J is strongly regular ; (3) A is von Neumann regular with non-zero socle if and only if A is a left p.p.ring containing a finitely generated p-injective maximal left ideal satisfying the following condition : if e is an idempotent in A, then eA is a minimal right ideal if and only if Ae is a minimal left ideal ; (4) If A is left non-singular, left YJ-injective such that each maximal left ideal of A is either injective or a two-sided ideal of A, then A is either left self-injective regular or strongly regular : (5) A is left continuous regular if and only if A is right p-injective such that for every cyclic left A-module M, $_{A}$M/Z(M) is projective. ((5) remains valid if 《continuous》 is replaced by 《self-injective》 and 《cyclic》 is replaced by 《finitely generated》. Finally, we have the following two equivalent properties for A to be von Neumann regula. : (a) A is left non-singular such that every finitely generated left ideal is the left annihilator of an element of A and every principal right ideal of A is the right annihilator of an element of A ; (b) Change 《left non-singular》 into 《right non-singular》in (a).(a).

Finite Element Stress Analysis according to Apical-coronal Implant Position

  • Kang, Tae-Ho;Kim, Su-Gwan
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • 제32권1호
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    • pp.52-59
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    • 2006
  • Purpose: The purpose of this study was to evaluate the influence of apical-coronal implant position on the stress distribution after occlusal and oblique loading. Materials and Methods: The cortical and cancellous bone was assumed to be isotropic, homogeneous, and linearly elastic. The implant was apposed to cortical bone in the crestal region and to cancellous bone for the remainder of the implant-bone interface. The cancellous core was surrounded by 2-mm-thick cortical bone. An axial load of 200 N was assumed and a 200-N oblique load was applied at a buccal inclination of 30 degrees to the center of the pontic and buccal cusps. The 3-D geometry modeled in Iron CAD was interfaced with ANSYS. Results: When only the stress in the bone was compared, the minimal principal stress at load Points A and B, with a axial load applied at 90 degrees or an oblique load applied at 30 degrees, for model 5. The von Mises stress in the screw of model 5 was minimal at Points A and B, for 90- and 30-degree loads. When the von Mises stress of the abutment screw was compared at Points A and B, and a 30-degree oblique load, the maximum principal stress was seen with model 2, while the minimum principal stress was with model 5. In the case of implant, the model that received maximum von Mises stress was model 1 with the load Point A and Point B, axial load applied in 90-degree, and oblique load applied in 30-degree. Discussion and Conclusions: These results suggests that implantation should be done at the supracrestal level only when necessary, since it results in higher stress than when implantation is done at or below the alveolar bone level. Within the limited this study, we recommend the use of supracrestal apical-coronal positioning in the case of clinical indications.

A Parameter Selection Method for Multi-Element Resonant Converters with a Resonant Zero Point

  • Wang, Yifeng;Yang, Liang;Li, Guodong;Tu, Shijie
    • Journal of Power Electronics
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    • 제18권2호
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    • pp.332-342
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    • 2018
  • This paper proposes a parameter design method for multi-element resonant converters (MERCs) with a unique resonant zero point (RZP). This method is mainly composed of four steps. These steps include program filtration, loss comparison, 3D figure fine-tuning and priority compromise. It features easy implementation, effectiveness and universal applicability for almost all of the existing RZP-MERCs. Meanwhile, other design methods are always exclusive for a specific topology. In addition, a novel dual-CTL converter is also proposed here. It belongs to the RZP-MERC family and is designed in detail to explain the process of parameter selection. The performance of the proposed method is verified experimentally on a 500W prototype. The obtained results indicate that with the selected parameters, an extensive dc voltage gain is obtained. It also possesses over-current protection and minimal switching loss. The designed converter achieves high efficiencies among wide load ranges, and the peak efficiency reaches 96.9%.

Self-adaptive sampling for sequential surrogate modeling of time-consuming finite element analysis

  • Jin, Seung-Seop;Jung, Hyung-Jo
    • Smart Structures and Systems
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    • 제17권4호
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    • pp.611-629
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    • 2016
  • This study presents a new approach of surrogate modeling for time-consuming finite element analysis. A surrogate model is widely used to reduce the computational cost under an iterative computational analysis. Although a variety of the methods have been widely investigated, there are still difficulties in surrogate modeling from a practical point of view: (1) How to derive optimal design of experiments (i.e., the number of training samples and their locations); and (2) diagnostics of the surrogate model. To overcome these difficulties, we propose a sequential surrogate modeling based on Gaussian process model (GPM) with self-adaptive sampling. The proposed approach not only enables further sampling to make GPM more accurate, but also evaluates the model adequacy within a sequential framework. The applicability of the proposed approach is first demonstrated by using mathematical test functions. Then, it is applied as a substitute of the iterative finite element analysis to Monte Carlo simulation for a response uncertainty analysis under correlated input uncertainties. In all numerical studies, it is successful to build GPM automatically with the minimal user intervention. The proposed approach can be customized for the various response surfaces and help a less experienced user save his/her efforts.

순환적 분할에 의한 유한 요소망 자동 생성 알고리즘 (An Algorithm of Automatic Mesh Generation by Recursive Subdivisions)

  • 이재영
    • 전산구조공학
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    • 제9권3호
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    • pp.145-155
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    • 1996
  • 이 논문은 평면 상의 영역 경계와 조절선(control curve)에 맞추어서 요소망을 자동 생성하는 알고리즘을 제시하는데 목적이 있다. 여기서 제안하는 알고리즘은 요소망 생성 영역의 경계와 조절선들을 하나의 수퍼 루프(super loop)로 연결하고, 루프(loop)위에 있는 두 절점을 연결하는 최소벌점(minimum penalty)의 경로를 따라서 순환적으로 분할하여 요소를 생성하는 기법에 바탕을 두고 있다. 이 방법은 요소망 생성영역의 형상에 제한이 없으며, 모든 과정을 쉽게 자동화 할 수 있기 때문에 복잡한 영역의 요소망을 최소한의 사용자 개입을 통해서 간편하게 처리할 수 있는 프로그램으로 쉽게 이행할 수 있다. 이 알고리즘은 곡면 요소망 생성이나, 적응적 요소망 생성등에 쉽게 확장하여 적용할 수 있다.

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Bimorph piezoelectric energy harvester structurally integrated on a trapezoidal plate

  • Avsar, Ahmet Levent;Sahin, Melin
    • Smart Structures and Systems
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    • 제18권2호
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    • pp.249-265
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    • 2016
  • A bimorph piezoelectric energy harvester is developed for harvesting energy under the vortex induced vibration and it is integrated to a host structure of a trapezoidal plate without changing its passive dynamic properties. It is aimed to select trapezoidal plate as similar to a vertical fin-like structure which could be a part of an air vehicle. The designed energy harvester consists of an aluminum beam and two identical multi fiber composite (MFC) piezoelectric patches. In order to understand the dynamic characteristic of the trapezoidal plate, finite element analysis is performed and it is validated through an experimental study. The bimorph piezoelectric energy harvester is then integrated to the trapezoidal plate at the most convenient location with minimal structural displacement. The finite element model is constructed for the new combined structure in ANSYS Workbench 14.0 and the analyses performed on this particular model are then validated via experimental techniques. Finally, the energy harvesting performance of the bimorph piezoelectric energy harvester attached to the trapezoidal plate is also investigated through wind tunnel tests under the air load and the obtained results indicate that the system is a viable one for harvesting reasonable amount of energy.

Numerical studies on axially loaded doubler plate reinforced elliptical hollow section T-joints

  • Sari, Busra;Ozyurt, Emre
    • Steel and Composite Structures
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    • 제43권1호
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    • pp.107-116
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    • 2022
  • This paper presents results of numerical studies completed on unreinforced and doubler plate reinforced Elliptical Hollow Section (EHS) T-joints subjected to axial compressive loading on the brace member. Non-linear finite element (FE) models were developed using the finite element code, ABAQUS. Available test data in literature was used to validate the FE models. Subsequently, a parametric study was carried out to investigate the effects of various geometrical parameters of main members and reinforcement plates on the ultimate capacity of reinforced EHS T-joints. The parametric study found that the reinforcing plate significantly increases the ultimate capacity of EHS T-joints up to twice the capacity of the corresponding unreinforced joint. The thickness and length of the reinforcing plate have a positive effect on the ultimate capacity of Type 1 joints. This study, however, found that the capacity of Type 1 orientation is not dependent on the brace-to-chord diameter ratio. As for type 2 orientations, the thickness and length of the reinforcement have a minimal effect on the ultimate capacity. A new design method is introduced to predict the capacity of the reinforced EHS T-joints Type 1 and 2 based on the multiple linear regression analyses.

Neural network based approach for rapid prediction of deflections in RC beams considering cracking

  • Patel, K.A.;Chaudhary, Sandeep;Nagpal, A.K.
    • Computers and Concrete
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    • 제19권3호
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    • pp.293-303
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    • 2017
  • Maximum deflection in a beam is a serviceability design criterion and occurs generally at or close to the mid-span. This paper presents a methodology using neural networks for rapid prediction of mid-span deflections in reinforced concrete beams subjected to service load. The closed form expressions are further obtained from the trained neural networks. The closed form expressions take into account cracking in concrete at in-span and at near the interior supports and tension stiffening effect. The expressions predict the inelastic deflections (incorporating the concrete cracking) from the elastic moments and the elastic deflections (neglecting the concrete cracking). Five separate neural networks are trained since these have been postulated to represent all beams having any number of spans. The training, validating, and testing data sets for the neural networks are generated using an analytical-numerical procedure of analysis. The proposed expressions have been verified by comparison with the experimental results reported elsewhere and also by comparison with the finite element method (FEM). The proposed expressions, at minimal input data and minimal computation effort, yield results that are close to FEM results. The expressions can be used in every day design since the errors are found to be small.

고체 내부의 구조적 변화를 위한 Laser Pulse의 설계 (Designing Laser Pulses for Manipulating the Interior Structure of Solids)

  • 김영식
    • 대한화학회지
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    • 제39권1호
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    • pp.14-22
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    • 1995
  • 주어진 시간에 금속 고체 내부의 목표 부위에 탄성에너지를 집중시킬 수 있도록 표면에 가해주는 최적의 레이저 pulse의 형태를 디자인 하는 문제에 관하여 연구하였다. 금속고체 표면에 레이저를 쪼여주면 흡수된 광에너지가 열로 바뀌어 열팽창에 의하여 종파와 횡파가 고체 내부로 전파된다. 최소의 레이저의 세기를 사용하고 다른 부위에 영향을 최소화하면서 목표 부위에 원하는 에너지를 집중시킬 수 있는 최적의 레이저 펄스의 형태를 공액 변화 방법과 반 공간 Green 함수를 이용한 유한 요소법으로 조사하였다. 최적의 레이저 펄스로부터 원하는 시간에 목표 부위에 탄성에너지를 집중시키는 것을 보여주었고 또한 대부분의 에너지가 방향성이 큰 횡파로부터 온다는 것을 알았다.

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