• Title/Summary/Keyword: locally finite group

Search Result 16, Processing Time 0.02 seconds

Design and fabrication of race-track type field coil for the high temperature superconduction generator

  • Baik, S.K.;Jo, Y.S.;Ha, H.S.;Lee, E.Y.;Jeong, D.Y.;Kwon, Y.K.;Ryu, K.S.;Sohn, M.H.
    • 한국초전도학회:학술대회논문집
    • /
    • v.10
    • /
    • pp.248-251
    • /
    • 2000
  • The fabrication and characteristics of HTS race-track type field coil for generators was carried out. Field coils are composed of 3 pancake coils wound by 37-filamental Bi-2223/Ag-alloy tapes. The winding machine is horizontal type. The critical currents (I$_c$) of the superconducting tapes were measured with variation of bending strain and external magnetic fields. I$_c$ of both whole field coils and 3 pancake coils were measured as a function of temperature. At 77K under the self-field, I$_c$ of whole field coils was 12A, while in the case of middle pancake coil, I$_c$ was 15A. The distribution of magnetic field B was obtained, using 3-D FEM. Our simulation showed that maximums of B${\bot}$A in x-y plane were locally distributed in both the upper and the lower coils. In addition, the fabrication processes and the characteristics of field coil are described.

  • PDF

A local point interpolation method for stress analysis of two-dimensional solids

  • Liu, G.R.;Gu, Y.T.
    • Structural Engineering and Mechanics
    • /
    • v.11 no.2
    • /
    • pp.221-236
    • /
    • 2001
  • A local point interpolation method (LPIM) is presented for the stress analysis of two-dimensional solids. A local weak form is developed using the weighted residual method locally in two-dimensional solids. The polynomial interpolation, which is based only on a group of arbitrarily distributed nodes, is used to obtain shape functions. The LPIM equations are derived, based on the local weak form and point interpolation. Since the shape functions possess the Kronecker delta function property, the essential boundary condition can be implemented with ease as in the conventional finite element method (FEM). The presented LPIM method is a truly meshless method, as it does not need any element or mesh for both field interpolation and background integration. The implementation procedure is as simple as strong form formulation methods. The LPIM has been coded in FORTRAN. The validity and efficiency of the present LPIM formulation are demonstrated through example problems. It is found that the present LPIM is very easy to implement, and very robust for obtaining displacements and stresses of desired accuracy in solids.

THE LAYOUT PROBLEM OF TWO KINDS OF GRAPH ELEMENTS WITH PERFORMANCE CONSTRAINTS AND ITS OPTIMALITY CONDITIONS

  • ZHANG XU;LANG YANHUAI;FENG ENMIN
    • Journal of applied mathematics & informatics
    • /
    • v.20 no.1_2
    • /
    • pp.209-224
    • /
    • 2006
  • This paper presents an optimization model with performance constraints for two kinds of graph elements layout problem. The layout problem is partitioned into finite subproblems by using graph theory and group theory, such that each subproblem overcomes its on-off nature about optimal variable. Furthermore each subproblem is relaxed and the continuity about optimal variable doesn't change. We construct a min-max problem which is locally equivalent to the relaxed subproblem and develop the first order necessary and sufficient conditions for the relaxed subproblem by virtue of the min-max problem and the theories of convex analysis and nonsmooth optimization. The global optimal solution can be obtained through the first order optimality conditions.

Quasinormal Subgroups in Division Rings Radical over Proper Division Subrings

  • Le Qui Danh;Trinh Thanh Deo
    • Kyungpook Mathematical Journal
    • /
    • v.63 no.2
    • /
    • pp.187-198
    • /
    • 2023
  • The motivation for this study comes from a question posed by I.N. Herstein in the Israel Journal of Mathematics in 1978. Specifically, let D be a division ring with center F. The aim of this paper is to demonstrate that every quasinormal subgroup of the multiplicative group of D, which is radical over some proper division subring, is central if one of the following conditions holds: (i) D is weakly locally finite; (ii) F is uncountable; or (iii) D is the Mal'cev-Neumann division ring.

Application of welding simulation to block joints in shipbuilding and assessment of welding-induced residual stresses and distortions

  • Fricke, Wolfgang;Zacke, Sonja
    • International Journal of Naval Architecture and Ocean Engineering
    • /
    • v.6 no.2
    • /
    • pp.459-470
    • /
    • 2014
  • During ship design, welding-induced distortions are roughly estimated as a function of the size of the component as well as the welding process and residual stresses are assumed to be locally in the range of the yield stress. Existing welding simulation methods are very complex and time-consuming and therefore not applicable to large structures like ships. Simplified methods for the estimation of welding effects were and still are subject of several research projects, but mostly concerning smaller structures. The main goal of this paper is the application of a multi-layer welding simulation to the block joint of a ship structure. When welding block joints, high constraints occur due to the ship structure which are assumed to result in accordingly high residual stresses. Constraints measured during construction were realized in a test plant for small-scale welding specimens in order to investigate their and other effects on the residual stresses. Associated welding simulations were successfully performed with fine-mesh finite element models. Further analyses showed that a courser mesh was also able to reproduce the welding-induced reaction forces and hence the residual stresses after some calibration. Based on the coarse modeling it was possible to perform the welding simulation at a block joint in order to investigate the influence of the resulting residual stresses on the behavior of the real structure, showing quite interesting stress distributions. Finally it is discussed whether smaller and idealized models of definite areas of the block joint can be used to achieve the same results offering possibilities to consider residual stresses in the design process.

Study on the progressive collapse resistance of CP-FBSP connections in L-CFST frame structure

  • Xiong, Qingqing;Wu, Wenbo;Zhang, Wang;Chen, Zhihua;Liu, Hongbo;Su, Tiancheng
    • Steel and Composite Structures
    • /
    • v.44 no.3
    • /
    • pp.437-450
    • /
    • 2022
  • When the vertical load-bearing members in high-rise structures fail locally, the beam-column joints play an important role in the redistribution of the internal forces. In this paper, a static laboratory test of three full-scale flush flange beam-reinforced connections with side and cover plates (CP-FBSP connection) with double half-span steel beams and single L-shaped columns composed of concrete-filled steel tubes (L-CFST columns) was conducted. The influence of the side plate width and cover plate thickness on the progressive collapse resistance of the substructure was thoroughly analyzed. The failure mode, vertical force-displacement curves, strain variation, reaction force of the pin support and development of internal force in the section with the assumed plastic hinge were discussed. Then, through the verified finite element model, the corresponding analyses of the thickness and length of the side plates, the connecting length between the steel beam flange and cover plate, and the vertical-force eccentricity were carried out. The results show that the failure of all the specimens occurred through the cracking of the beam flange or the cover plate, and the beam chord rotations measured by the test were all greater than 0.085 rad. Increasing the length, thickness and width of the side plates slightly reduced the progressive collapse resistance of the substructures. The vertical-force eccentricity along the beam length reduced the progressive collapse resistance of the substructure. An increase in the connecting length between the beam flange and cover plate can significantly improve the progressive collapse resistance of substructures.