• 제목/요약/키워드: symmetric element

검색결과 435건 처리시간 0.026초

유한요소법과 하이브리드형 무한요소법의 결합에 의한 축대칭 변환기의 음향 특성해석(II) ;광대역 배열 변환기의 설계 및 그 음향특성 (Acoustic Characteristics Analysis of the Axi-symmetric Transducer by the combined Finite Element Method and Hybrid Type Infinite Element Method, Part II : Wideband Array Transducer Design and its Acoustic Characteristics)

  • 김천덕;김원호;김대환;윤종락
    • 한국음향학회지
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    • 제13권2호
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    • pp.68-75
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    • 1994
  • 본 논문은 두 편으로 연결된 논문의 둘째편으로 광대역 배열변환기의 설계방법과 설계된 변환기의 음향특성을 제시한다. 아울러 유한요소법과 하이브리드형 무한요소법의 결합기법에 의한 설계된 변환기의 음향특성 결과가 등가회로 해석 기법에 의한 결과보다 양호함을 확인하였다. 따라서 제시된 변환기 해석기법이 광대역 배열 변환기의 설계 및 음향특성 해석에 응용될 수 있을 것으로 판단된다.

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Time-domain analyses of the layered soil by the modified scaled boundary finite element method

  • Lu, Shan;Liu, Jun;Lin, Gao;Wang, Wenyuan
    • Structural Engineering and Mechanics
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    • 제55권5호
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    • pp.1055-1086
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    • 2015
  • The dynamic response of two-dimensional unbounded domain on the rigid bedrock in the time domain is numerically obtained. It is realized by the modified scaled boundary finite element method (SBFEM) in which the original scaling center is replaced by a scaling line. The formulation bases on expanding dynamic stiffness by using the continued fraction approach. The solution converges rapidly over the whole time range along with the order of the continued fraction increases. In addition, the method is suitable for large scale systems. The numerical method is employed which is a combination of the time domain SBFEM for far field and the finite element method used for near field. By using the continued fraction solution and introducing auxiliary variables, the equation of motion of unbounded domain is built. Applying the spectral shifting technique, the virtual modes of motion equation are eliminated. Standard procedure in structural dynamic is directly applicable for time domain problem. Since the coefficient matrixes of equation are banded and symmetric, the equation can be solved efficiently by using the direct time domain integration method. Numerical examples demonstrate the increased robustness, accuracy and superiority of the proposed method. The suitability of proposed method for time domain simulations of complex systems is also demonstrated.

On the free vibration response of laminated composite plates via FEM

  • Sehoul, Mohammed;Benguediab, Soumia;Benguediab, Mohamed;Selim, Mahmoud M.;Bourada, Fouad;Tounsi, Abdelouahed;Hussain, Muzamal
    • Steel and Composite Structures
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    • 제39권2호
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    • pp.149-158
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    • 2021
  • In this research paper, the free vibrational response of laminated composite plates is investigated using a non-polynomial refined shear deformation theory (NP-RSDT). The most interesting feature of this theory is the parabolic distribution of transverse shear deformations while ensuring the conditions of nullity of shear stresses at the free surfaces of the plate without requiring the Shear correction factor "Ks". A fourth-nodded isoparametric element with four degrees of freedom per node is employed for laminated composite plates. The numerical analysis of simply supported square anti-symmetric cross-ply and angle-ply laminated plate is carried out using a special discretization based on four-node finite element method which four degrees of freedom per node. Several numerical results are presented to show the effect of the coupling parameters of the plate such as the modulus ratios, the thickness ratio and the plate layers number on adimensional eigen frequencies. All numerical results presented using the current finite element method (FEM) is presented in 3D curve form.

Effects of numerical modeling simplification on seismic design of buildings

  • Raheem, Shehata E Abdel;Omar, Mohamed;Zaher, Ahmed K Abdel;Taha, Ahmed M
    • Coupled systems mechanics
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    • 제7권6호
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    • pp.731-753
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    • 2018
  • The recent seismic events have led to concerns on safety and vulnerability of Reinforced Concrete Moment Resisting Frame "RC-MRF" buildings. The seismic design demands are greatly dependent on the computational tools, the inherent assumptions and approximations introduced in the modeling process. Thus, it is essential to assess the relative importance of implementing different modeling approaches and investigate the computed response sensitivity to the corresponding modeling assumptions. Many parameters and assumptions are to be justified for generation effective and accurate structural models of RC-MRF buildings to simulate the lateral response and evaluate seismic design demands. So, the present study aims to develop reliable finite element model through many refinements in modeling the various structural components. The effect of finite element modeling assumptions, analysis methods and code provisions on seismic response demands for the structural design of RC-MRF buildings are investigated. where, a series of three-dimensional finite element models were created to study various approaches to quantitatively improve the accuracy of FE models of symmetric buildings located in active seismic zones. It is shown from results of the comparative analyses that the use of a calibrated frame model which was made up of line elements featuring rigid offsets manages to provide estimates that match best with estimates obtained from a much more rigorous modeling approach involving the use of shell elements.

P2P1 유한요소 공식을 이용한 비압축성 Navier-Stokes 방정식의 반-분리 해법에 관한 연구 (Study of the semi-segregation algorithms of the incompressible Navier-Stokes equations using P2P1 finite element formulation)

  • 조명환;최형권;유정열;박재인
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2006년 제4회 한국유체공학학술대회 논문집
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    • pp.349-352
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    • 2006
  • The conventional segregated finite element formulation produces a small and simple matrix at each step than in an integrated formulation. And the memory and cost requirements of computations are significantly reduced because the pressure equation for the mass conservation of the Navier-Stokes equations is constructed only once if the mesh is fixed. However, segregated finite element formulation solves Poisson equation of elliptic type so that it always needs a pressure boundary condition along a boundary even when physical information on pressure is not provided. On the other hand, the conventional integrated finite element formulation in which the governing equations are simultaneously treated has an advantage over a segregated formulation in the sense that it can give a more robust convergence behavior because all variables are implicitly combined. Further it needs a very small number of iterations to achieve convergence. However, the saddle-paint-type matrix (SPTM) in the integrated formulation is assembled and preconditioned every time step, so that it needs a large memory and computing time. Therefore, we newly proposed the P2PI semi-segregation formulation. In order to utilize the fact that the pressure equation is assembled and preconditioned only once in the segregated finite element formulation, a fixed symmetric SPTM has been obtained for the continuity constraint of the present semi-segregation finite element formulation. The momentum equation in the semi-segregation finite element formulation will be separated from the continuity equation so that the saddle-point-type matrix is assembled and preconditioned only once during the whole computation as long as the mesh does not change. For a comparison of the CPU time, accuracy and condition number between the two methods, they have been applied to the well-known benchmark problem. It is shown that the newly proposed semi-segregation finite element formulation performs better than the conventional integrated finite element formulation in terms of the computation time.

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Fuzzy analysis for stability of steel frame with fixity factor modeled as triangular fuzzy number

  • Tran, Thanh Viet;Vu, Quoc Anh;Le, Xuan Huynh
    • Advances in Computational Design
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    • 제2권1호
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    • pp.29-42
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    • 2017
  • This study presents algorithms for determining the fuzzy critical loads of planar steel frame structures with fixity factors of beam - column and column - base connections are modeled as triangular fuzzy numbers. The finite element method with linear elastic semi-rigid connection and Response Surface Method (RSM) in mathematical statistic are applied for problems with symmetric triangular fuzzy numbers. The ${\alpha}$ - level optimization using the Differential Evolution (DE) involving integrated finite element modeling is proposed to apply for problems with any triangular fuzzy numbers. The advantage of the proposed methodologies is demonstrated through some example problems relating to for the twenty - story, four - bay planar steel frames.

SINGULAR CLEAN RINGS

  • Amini, Afshin;Amini, Babak;Nejadzadeh, Afsaneh;Sharif, Habib
    • 대한수학회지
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    • 제55권5호
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    • pp.1143-1156
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    • 2018
  • In this paper, we define right singular clean rings as rings in which every element can be written as a sum of a right singular element and an idempotent. Several properties of these rings are investigated. It is shown that for a ring R, being singular clean is not left-right symmetric. Also the relations between (nil) clean rings and right singular clean rings are considered. Some examples of right singular clean rings have been constructed by a given one. Finally, uniquely right singular clean rings and weakly right singular clean rings are also studied.

다단-포머를 이용한 오토트랜스 미션용 솔레노이드 밸브 공정설계 및 유한요소해석 (Finite Element Analysis and Process Planning about the Auto Transmission Solenoid Valve using of Multi-Former)

  • 박철우
    • Journal of Advanced Marine Engineering and Technology
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    • 제33권1호
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    • pp.97-103
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    • 2009
  • The process design of forward Extrusion and Upsetting of Axi-symmetric part has been studied in this paper. During the cold forging product; auto transmission Solenoid Valve part, the defects such as folding and under-fill can be appeared by the improperly controlled metal flow. In this study, to reduce the folding and under-fill the design of experiments has been used to find out the significant design variables in the design of forging process. This paper deals with an Process Planning with which designer can determine operation sequences even after only a little experience in Process Planning of Multi-Former products by multi-stage former working. The approach is based on knowledge-based rules, and a process knowledge-base consisting of design rules is built. Based on the systematic procedure of process sequence design, the forming operation of cold forged auto transmission Solenoid Valve part is analyzed by the commercial Finite Element program, DEFORM/2D.

복합재 압력탱크의 스커트 조인트 설계를 위한 인자 연구 (The Effects of Various Geometric Parameters on the Skirt Joint Design of Composite Pressure Tanks)

  • 김철웅;홍창선;김천곤;박재성
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2002년도 춘계학술발표대회 논문집
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    • pp.13-16
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    • 2002
  • In this research, the design methods of the rocket joint parts were suggested. In the first section, nonlinear finite element analyses for joint parts of a composite pressure tank were performed. In the analyses, the detailed finite element modeling was performed and complex boundary conditions(contact problem, clamping force) were considered. Secondly, several guidelines for the design of joint parts were suggested. The parametric study for geometric design variables was peformed. Finally, the parametric study result was categorized for the multi-Joint part design of the axi-symmetric composite structure.

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점탄성층이 부분적으로 삽입된 샌드위치보의 횡진동 감쇠특성 (Behavior of the Flexural Vibration Damping of a Sandwich Beam System with a Partially Inserted Viscoelastic Layer)

  • 박진택;유형원;장석원;최낙삼
    • 대한기계학회논문집A
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    • 제26권2호
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    • pp.225-233
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    • 2002
  • The flexural vibration characteristics of a sandwich beam system with a partially inserted viscoelastic layer have been quantitatively studied using a finite element analysis in combination with a sine-sweep test. Antisymmetric mode shapes of the flexural vibration were visualized by the holographic interferometry and agreed with those calculated by the finite element simulation. Effects of the beam thickness as well as the length and thickness of partial viscoelastic layers on the system loss factor(η$\_$s/) and resonant frequency($\omega$$\_$r/) were significantly large fur the symmetric and antisymmetric modes of the beam system.