• Title/Summary/Keyword: finite member element

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The Convergence of Accuracy Ratio in Finite Element Method (유한요소법의 정도수렴)

  • Cho, Soon-Bo
    • Journal of Korean Association for Spatial Structures
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    • v.3 no.2 s.8
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    • pp.85-90
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    • 2003
  • If we use a third order approximation for the displacement function of beam element in finite element methods, finite element solutions of beams yield nodal displacement values matching to beam theory results to have no connection with the number increasing of elements of beams. It is assumed that, as the member displacement value at beam nodes are correct, the calculation procedure of beam element stiffness matrix have no numerical errors. A the member forces are calculated by the equations of $\frac{-M}{EI}=\frac{{d^2}{\omega}}{dx^2}\;and\;\frac{dM}{dx}=V$, the member forces at nodes of beams have errors in a moment and a shear magnitudes in the case of smaller number of element. The nodal displacement value of plate subject to the lateral load converge to the exact values according to the increase of the number of the element. So it is assumed that the procedures of plate element stiffness matrix calculations has a error in the fundamental assumptions. The beam methods for the high accuracy ratio solution Is also applied to the plate analysis. The method of reducing a error ratio of member forces and element stiffness matrix in the finite element methods is studied. Results of study were as follows. 1. The matrixes of EI[B] and [K] in the equations of M(x)=EI[B]{q} and M(x) = [K]{q}+{Q} of beams are same. 2. The equations of $\frac{-M}{EI}=\frac{{d^2}{\omega}}{dx^2}\;and\;\frac{dM}{dx}=V$ for the member forces have a error ratio in a finite element method of uniformly loaded structures, so equilibrium node loads {Q} must be substituted in the equation of member forces as the numerical examples of this paper revealed.

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Improvement of the Stamping Process for Sheet Metal Prototypes of an Auto-body with Finite Element Analysis (유한요소해석을 이용한 차체시작부품 프레스성형 공정 개선)

  • Kim, Se-Ho
    • Journal of the Korean Society for Precision Engineering
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    • v.28 no.4
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    • pp.496-504
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    • 2011
  • This paper introduces a CAE-based design procedure in the press forming process for the fabrication of sheet metal parts used in proto-cars. The finite element analysis reveals formability problems during the forming process of a floor member and a front cross member that constitute a rear floor assembly. The study proposes the modification of the initial blank shape or intermediate trimming of the product to prevent failure during forming. It is confirmed by the tryout process as well as the finite element analysis that sound prototype can be obtained with the modified design. The finite element analysis result also provides fairly good prediction of springback amounts used for the post-compensation of the product.

Determination of Stiffness in Stud Bolted Connection (스터드 보울트로 조립된 체결체의 강성 평가)

  • 김태완;성기광;손용수;박성호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1993.10a
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    • pp.181-185
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    • 1993
  • A useful finite element method to determine the stiffness of assembled member by stud bolt was introduced in this paper. Since threads on clamped members and stud bolts may produce different stress distribution, brief theories and equations based on bolt and nut may produce less conservative results or, this case. A finite element model using non-linear gap element was indtroduced to find out the basic feature of stress distribution caused by threads on both stud and member.

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Natural Frequencies of Sinusoidally Nonsymmetrically Tapered Members (정현상으로 Taper진 부재의 고유진동수)

  • 강명진;안성기;이수곤
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.04b
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    • pp.263-270
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    • 2000
  • It is generally known that the stress and displacement of a member or a system under dynamic load with frequency ω are magnified by the factor 1/[1-(ω/ω/sub 0/)sup/ 2/]. When the member assumes non-prismatic shape, the natural frequency, ω/sub 0/ is hard or impossible to determine if the conventional method are adopted. In these cases, the numerical methods are provide powerful tools for the solution of frequency problems. In this paper, finite element method is applied to determine the natural frequencies of the non-symmetrically tapered members. The shape of the member is assumed to change sinusoidally along its axis. The results obtained by finite element method are expressed by some simple algebraic equations. The estimated frequencies calculated by the proposed equations coincide well with those by the finite element method.

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Free vibration of core wall structure coupled with connecting beams

  • Wang, Quanfeng
    • Structural Engineering and Mechanics
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    • v.10 no.3
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    • pp.263-275
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    • 2000
  • In this paper, a core wall structure coupled with connecting beams is discretized and modeled as an equivalent thin-walled member with closed section, while the connecting beams between openings are replaced by an equivalent shear diaphragm. Then, a numerical method (finite member element method, FMEM) for dynamic analysis of the core wall structure is proposed. The numerical method combines the advantages of the FMEM and Vlasov's thin-walled beam theory and the effects of torsion, warping and, especially, the shearing strains in the middle surface of the walls are considered. The results presented in this paper are very promising compared with the ones obtained from finite element method.

The Elastic Critical Loads of Linearly Non-symmetrically Tapered Members (직선형으로 Taper진 비대칭 변단면 부재의 탄성임계하중)

  • 김효중;홍종국;이수곤
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.299-306
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    • 2000
  • The elastic critical load of a slender compression member plays an important role when the proper design of that member is required. For tapered compression members, however, there are cases when the conventional neutral equilibrium or energy method can't be applied to the determination of critical loads. In this paper, the finite element method is applied to the approximate determination of the linearly tapered members. In this paper, the bars are assumed to be tapered linearly along their axes. The parameters considered in this study are taper parameter, α and the sectional property parameter, m. The member ends are either hinged or fixed. The computed results using the finite element method are represented in the forms of algebraic equations. The regression technique is employed to determine the coefficients of the algebraic equations. Critical loads estimated by the proposed algebraic equations coincide flirty well with those employing the finite element method.

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Virbration Characteristics of a passenger Car Steering Column

  • Lee, Young-Shin;Song, Sun-Young;Park, Myoung-Hwan;Ryu, Chung-Hyun;Kim, Young-Wann
    • Transactions of the Korean Society of Automotive Engineers
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    • v.8 no.6
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    • pp.130-141
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    • 2000
  • The virbration characteristics of a passenger car steering column are studied by using a modal test and a finite element (FE) analysis. To verify the FE model and the results, an experiment using the impact exciting method is performed. Two types of the steering column in this study are considered as follows; (ⅰ) the non-tilt type steering column and (ⅱ) the upper-tilt type steering column. The experimental results are compared with those o the FE analysis, and it ti shown that the results agree with each other. The effects of various design parameters such as the bracket thickness, the column diameter on the natural frequencies are also investigated by FE analysis.

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Design Enhancements for Automotive Integrated Shell Structures (차량 복합판형부품의 설계개선 기법들)

  • Lee, Hyeong-Il;Seo, Hyeon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.5 s.176
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    • pp.1103-1114
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    • 2000
  • Recent attempt to enhance the safety against collision reshaped the simple shell structures into the integrated complex shell structures. Moreover, due to various regulations continuously tightened for environment protection, weight reduction of automobiles becomes an increasingly important issue. Auto parts lightening is mainly accomplished by more reasonable design, adoption of lighter materials and miniaturization of the auto bodies. Focusing on the locally enhanced design approach among the above three ways, we here attempt to develop a patching optimization method, and also to determine the thicknesses of an integrated shell structure, both bringing a specified amount of stress relaxation. We first select a cross member as a patching optimization model. Based on the finite element stress calculations, we relieve the stress of cross member by patching in two ways-nonuniform thickness patching and optimized uniform thickness patching, the latter of which is more effective in a practical point of view for the preset amount of stress relaxation. Selecting a box type subframe as another finite element analysis model, we then determine the thickness of each part by axiomatic design approach for a preset amount of stress relaxation. The patching methodology and the axiomatic approach adopted in this work can be applied to the other complex shell structures such as center member and lower control arm.

Finite Element Analysis of Inverted Umbrella-type Hyperbolic Paraboloid Shell (역우산형 쌍곡포물선 쉘의 유한요소해석)

  • Kwon, Hung-Joo;Yu, Eun-Jong;Rha, Chang-Soon
    • Journal of Korean Association for Spatial Structures
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    • v.11 no.1
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    • pp.87-95
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    • 2011
  • This study presents the comparisons between the analysis results based on membrane theory and finite element analysis for the inverted umbrella-type hyperbolic paraboloid shell structure. The effects of the roof angle on the roof deflections, member forces of edge beams and ribs, and shell stress are also investigated with various roof angles. Results show that the membrane theory overestimates the member forces of edge beams and ribs. On the contrary, the shell stresses are underestimated in the membrane theory when compared to the results from the finite element analysis. The deflections of roof slabs by finite element analysis show drastic increasement as the roof angle decreases.

Minimum Weiht Design of Transverse Strength Member by Using Finite Element Method (유한요소법에 의한 횡강도부재의 최소중량설계)

  • Seung-Soo,Na;Keh-Sik,Min;Hang-Sub,Urm;Dong-Hee,Shin
    • Bulletin of the Society of Naval Architects of Korea
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    • v.22 no.3
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    • pp.27-37
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    • 1985
  • The optimum design of the transverse strength member was carried out with respect to the minimum hull weight taken account of the 2-dimensional analysis by using Finite Element Method. The optimum sizes of the member such as web height, web thickness, lower flange breadth, lower flange thickness, radii, were calculated by using Hooke and Jeeves direct search method. The optimum structure satisfies requirements to allowable bending and shear stresses in each strength member. The optimum design results were compared with the practical ship design. The optimum design saves the hull weight than that of practical design amounts to 9.6% of that.

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