• Title/Summary/Keyword: element-independent

Search Result 543, Processing Time 0.026 seconds

A Study on the Stiffness Locking Phenomena and Eigen Problem in a Curved Beam (곡선보의 강선 과잉 현상과 고유치에 관한 연구)

  • 민옥기;김용우;유동규
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.14 no.2
    • /
    • pp.310-323
    • /
    • 1990
  • A three-noded, with three degree-of-freedom at each node, in-plane curved beam element is formulated and employed in eigen-analysis of constant curvature beam. The conventional quadratic shape functions used in a three noded C .deg. type curved beam element produce such an undesirable large stiffness that a significant error is introduced in displacements and stresses. These phenomena are called 'Stiffness Locking Phenomena', which result from spurious strain energy due to inappropriate assumptions on independent isoparametric quadratic interpolation functions. Stiffness locking phenomena can be alleviated by using modified interpolation functions which get rid of spurious constraints of conventional interpolation functions. Eigenvalues and their modes as well as displacements and stresses may be locked because they are related to stiffness. Using modified curved beam element in eigenvalue problem of cantilever and arch, the property and performance of modified curved beam element are examined by numerical experimentations. In these eigen-analyses, mass matrices are calculated by using both modified and unmodified curved beam element, are compared with theoretical solutions. These comparisons show that the performance of the modified curved beam element is better than that of the unmodified curved beam element.

Bilinear plate bending element for thin and moderately thick plates using Integrated Force Method

  • Dhananjaya, H.R.;Nagabhushanam, J.;Pandey, P.C.
    • Structural Engineering and Mechanics
    • /
    • v.26 no.1
    • /
    • pp.43-68
    • /
    • 2007
  • Using the Mindlin-Reissner plate theory, many quadrilateral plate bending elements have been developed so far to analyze thin and moderately thick plate problems via displacement based finite element method. Here new formulation has been made to analyze thin and moderately thick plate problems using force based finite element method called Integrated Force Method (IFM). The IFM is a novel matrix formulation developed in recent years for analyzing civil, mechanical and aerospace engineering structures. In this method all independent/internal forces are treated as unknown variables which are calculated by simultaneously imposing equations of equilibrium and compatibility conditions. In this paper the force based new bilinear quadrilateral plate bending element (MQP4) is proposed to analyze the thin and moderately thick plate bending problems using Integrated Force Method. The Mindlin-Reissner plate theory has been used in the formulation of this element which accounts the effect of shear deformation. Standard plate bending benchmark problems are analyzed using the proposed element MQP4 via Integrated Force Method to study its performance with respect to accuracy and convergence, and results are compared with those of displacement based 4-node quadrilateral plate bending finite elements available in the literature. The results are also compared with the exact solutions. The proposed element MQP4 is free from shear locking and works satisfactorily in both thin and moderately thick plate bending situations.

Design and Analysis of Hybrid Stator Bearingless SRM

  • Lee, Dong-Hee;Ahn, Jin-Woo
    • Journal of Electrical Engineering and Technology
    • /
    • v.6 no.1
    • /
    • pp.94-103
    • /
    • 2011
  • This paper presents a novel bearingless switched reluctance motor (BLSRM) with decoupled torque and suspending stator poles. BLSRM is different from conventional bearingless switched reluctance motors (SRMs) because its suspending poles are separated from the torque poles. Perpendicularly placed suspending poles are designed to produce a continuous radial force to suspend the rotor. Due to the independent suspending and torque poles, BLSRM produces a suspending force with excellent linearity according to the rotor position and independent characteristics of the torque current. The air-gap is easier to control than in conventional SRMs with their linear and independent characteristics. Furthermore, to verify the proposed structure, a mathematical model for the suspending force is derived. Finite element analysis is also employed to compare BLSRM and conventional SRMs expressions of suspending force. A prototype motoris designed and manufactured to verify the effectiveness of the proposed bearingless structure.

Free Vibration Analysis of a Circular Plate with an Eccentric Circular Hole by the Independent Coordinate Coupling Method (독립좌표연성법을 이용한 편심 된 원형 구멍을 갖는 원판의 자유진동해석)

  • Heo, Seok;Kwak, Moon-K.
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.18 no.6
    • /
    • pp.681-689
    • /
    • 2008
  • This paper is concerned with the free vibration analysis of a circular plate with an eccentric circular hole by the Independent coordinate coupling method(ICCM). It was proved in the previous study that the ICCM can accurately predict the natural frequencies and mode shapes of the annular plates and can also be used for the free vibration analysis of the simply-supported circular plate with an eccentric circular hole. In this study, the clamped and free boundary conditions were considered for the circular plate. The numerical results show that the ICCM can be used effectively for the free vibration problem of circular plate with an eccentric hole compared to the finite element method.

Dynamic analysis of structures in frequency domain by a new set of Ritz vectors

  • Aliasghar Arjmandi, S.;Lotfi, Vahid
    • Structural Engineering and Mechanics
    • /
    • v.39 no.5
    • /
    • pp.703-716
    • /
    • 2011
  • The accurate dynamic analysis of structures is usually performed by a fine finite element discretization with very large number of degrees of freedom. Apart from modal analysis, one can reduce the number of final equations by assuming the deformed shape of the structure as a linear combination of independent Ritz vectors. The efficiency of this method relies heavily on the vectors selected. In this paper, a new set of Ritz vectors is proposed. It is primarily proved that these vectors are linearly independent. Subsequently, various two and three-dimensional examples are analyzed based on the proposed method. In each case, the results are compared with the ones obtained based on usual Ritz and modal analysis methods. It is finally concluded that the proposed method is very effective and efficient method for dynamic analysis of structures in frequency domain.

Finite Element Analysis of an Agricultural Tractor Cabin based on the OECD Standard(code 4) (OECD규정(제4항)에 기초한 농업용 트랙터 캐빈의 유한요소 해석)

  • 하창욱;김현진;구남서;권영두
    • Journal of Biosystems Engineering
    • /
    • v.28 no.4
    • /
    • pp.305-314
    • /
    • 2003
  • The ROPS of an agricultural tractor is designed to protect its driver when the tractor overturns. Although the current OECD tests to determine whether the ROPS meets the requirements of the OECD regulation are desirable, they need long time to test. We experimental time and effort by using CAE. We conducted a finite element analysis for the ROPS design of a Dae-Dong tractor cabin in an attempt to reduce the design and manufacturing time. This study shows the interpretative skill using MARC(v.2000) for designing ROPS and difference between the results of testing and FEA. Design process is generally divided into two phases: a concept and a detail design. The concept design uses simple analysis to predict structural behavior, whereas the detail design involves a finite element analysis performed by the results of the concept design. This study focused on the detail design and used Patran(v.2000r2) and MARC(v.2000) of the MSC software corporation. The model consisted of 4812 elements and 4582 nodes. Four tests. specified in the OECD standards, were performed: (1) longitudinal loading test (2) rear crushing test (3) side loading test (4), and front crushing test. Independent analyses were also performed for each test, along with a sequential analysis. When compared, the results of the independent and sequential analyses were found to be similar to the test results.

Finite Element Analysis of Micro Forming Process by Crystal Plasticity (결정소성학에 의한 미세 성형공정의 유한요소해석)

  • Kim H. K.;Oh S. I.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
    • /
    • 2001.05a
    • /
    • pp.209-212
    • /
    • 2001
  • It is known that the mim forming processes show somewhat different phenomena compared with the conventional metal forming processes, namely, the size effect, enhanced friction effect and etc. Such typical phenomena, however, are not predicted by the conventional finite element analysis, which has been an efficient numerical tool to predict the metal forming processes. It is due to the fact that the constitutive relations used does not describe the microstructural characteristics of the materials. In the present investigation, the finite element formulation using the rate-dependent rigid plastic crystal plasticity model of the face-centered cubic materials is conducted to predict the micro mechanical behaviors during the mim forming processes. The finite element analysis, however, provides mesh-dependent solutions for the intragranular deformations. Therefore, the couple stress energy is additionally introduced into the variational principle and formulated within the framework of the rigid plastic finite element method to obtain mesh-independent solutions. Micro deformations of single crystal and bicrystal with various orientations are calculated to show the potential of the developed formulation.

  • PDF

Validation of Efficiency Analysis for Independent Multi-Phase BLDC Motor Using Hysteresis PWM Current Control Method (Hysteresis PWM 전류 제어 기법을 사용한 독립 다상 BLDC 전동기의 효율 해석 유효성 검증)

  • Lee, Junewon;Kong, Yeongkyung;Park, Sunjung;Choi, Hoyong;Hong, Sungyoung
    • Journal of the Korea Institute of Military Science and Technology
    • /
    • v.17 no.5
    • /
    • pp.604-610
    • /
    • 2014
  • In this paper, the analysis and the experiment of independent multi-phase BLDC motor are performed. The back-emf, iron loss analysis are performed by the finite element method and compared with experimental results. The independent multi-phase BLDC motor is manufactured and to measure the efficiency of the motor, evaluation system is also manufactured including the load generator. By comparing the analytic and the experimental results, the effectiveness of the analysis model is verified when calculating the efficiency of the motor.

An independent distortional analysis method of thin-walled multicell box girders

  • Park, Nam-Hoi;Kang, Young-Jong;Kim, Hee-Joong
    • Structural Engineering and Mechanics
    • /
    • v.21 no.3
    • /
    • pp.275-293
    • /
    • 2005
  • When a thin-walled multicell box girder is subjected to an eccentric load, the distortion becomes an important global response in addition to flexure and torsion. The three global responses appear in a combined form when a conventional shell element is used thus it is not an easy task to examine the three global responses separately. This study is to propose an analysis method using conventional shell element in which the three global responses can be separately decomposed. The force decomposition method which was designed for a single-cell box girder by Nakai and Yoo is expanded herein to multicell box girders. The eccentric load is decomposed in the expanded method into flexural, torsional, and multimode distortional forces by using the force equilibrium. From the force decomposition, the combined global responses of multicell box girders can be resolved into separate responses and the distortional response which is of primary concern herein can be obtained separately. It is shown from a series of extensive comparative studies using three box girder bridge models that the expanded method produces accurate decomposed results. Noting that the separate consideration of individual global response is of paramount importance for optimized multicell box girder design, it can be said that the proposed expanded method is extremely useful for practicing engineers.

Prediction of Texture Evolution in Equal Channel Angular Extrusion (ECAE) Using Rate-Independent Crystal Plasticity with Rigid-Plastic Finite Element Method (결정 소성학과 강소성 유한요소해석을 연계한 ECAE 공정에서의 변형 집합 조직 발달에 대한 연구)

  • Kim, Kyung-Jin;Yoon, Jeong-Whan;Yang, Dong-Yol
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.32 no.11
    • /
    • pp.937-944
    • /
    • 2015
  • Recently, the change of mechanical properties and microstructural evolution during severe plastic deformation (SPD), such as Equal Channel Angular Extrusion (ECAE), has been the subject of intensive investigation because of the unique physical and mechanical properties of severely deformed materials. In this study, two types of ECAE processes were considered, dies with intersection angles ${\Phi}$ of $90^{\circ}$ and $120^{\circ}$, using experiments and simulations. The decoupled method, in which the rigid-plastic finite element method is incorporated with the rate-independent crystal plasticity model, was applied to predict the texture evolution in commercially pure aluminum during the ECAE processes with $120^{\circ}$ and $90^{\circ}$ dies. The simulated textures were compared with a measured texture via an EBSD OIM analysis. The comparison showed that the simulated textures generally were in good agreement with the experimentally measured texture.