• 제목/요약/키워드: Principal axes

검색결과 106건 처리시간 0.019초

Large deflection analysis of orthotropic, elliptic membranes

  • Chucheepsakul, Somchai;Kaewunruen, Sakdirat;Suwanarat, Apiwat
    • Structural Engineering and Mechanics
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    • 제31권6호
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    • pp.625-638
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    • 2009
  • Applications of membrane mechanisms are widely found in nano-devices and nano-sensor technologies nowadays. An alternative approach for large deflection analysis of the orthotropic, elliptic membranes - subject to gravitational, uniform pressures often found in nano-sensors - is described in this paper. The material properties of membranes are assumed to be orthogonally isotropic and linearly elastic, while the principal directions of elasticity are parallel to the coordinate axes. Formulating the potential energy functional of the orthotropic, elliptic membranes involves the strain energy that is attributed to inplane stress resultant and the potential energy due to applied pressures. In the solution method, Rayleigh-Ritz method can be used successfully to minimize the resulting total potential energy generated. The set of equilibrium equations was solved subsequently by Newton-Raphson. The unparalleled model formulation capable of analyzing the large deflections of both circular and elliptic membranes is verified by making numerical comparisons with existing results of circular membranes as well as finite element solutions. The results are found in excellent agreements at all cases. Then, the parametric investigations are given to delineate the impacts of the aspect ratios and orthotropic elasticity on large static tensions and deformations of the orthotropic, elliptic membranes.

Investigation of 3-D dynamic wind loads on lattice towers

  • Zou, Lianghao;Liang, Shuguo;Li, Q.S.;Zhao, Lin;Ge, Yaojun
    • Wind and Structures
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    • 제11권4호
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    • pp.323-340
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    • 2008
  • In this paper, the along-wind, across-wind as well as torsional dynamic wind loads on three kinds of lattice tower models are investigated using the base balance technique in a boundary layer wind tunnel. The models were specially designed, and their fundamental frequencies in the directions of the three principal axes are still in the frequency range of the spectra of wind loads on lattice towers. In order to clear contaminations to the spectra of wind loads induced by model resonance, the generalized force spectra of the first mode of the models in along-wind, across-wind and torsional directions were derived based on measured base moments of the models. The RMS generalized force coefficients are also obtained by removing the contributions of model resonance. Finally, the characteristics of the 3-D dynamic wind loads, especially those of the across-wind dynamic loads, on the three kinds of lattice towers are presented and discussed.

편광 상이 루프 구조 기반 Lyot형 고차 광섬유 빗살 필터 (Lyot-Type High-Order Fiber Comb Filter Based on Polarization-Diversity Loop Structure)

  • 조송현;김영호;이용욱
    • 조명전기설비학회논문지
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    • 제27권12호
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    • pp.10-15
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    • 2013
  • In this paper, we propose a Lyot-type optical fiber comb filter based on a polarization-diversity loop structure (PDLS), which has flat-top pass bands and multiwavelength switching capability. Generally, the PDLS can remove the dependency of the filter on input polarization. The proposed filter is composed of a polarization beam splitter, two half-wave plates (HWPs), and two polarization-maintaining fiber loops concatenated with a $60^{\circ}$ offset between their principal axes. By controlling two HWPs, it can operate in a flat-top band mode or a lossy flat-top band mode with an inherent insertion loss of ~3.49dB. In particular, flat-top bands can be interleaved in both modes, which cannot be realized in a Lyot-Sagnac comb filter based on a fiber coupler. Compared with Solc-type high-order comb filters with the same order, the proposed filter shows sharper transition between pass and stop bands.

상자성체 $CsMnCl_{3}$ 단결정에서 $^{133}Cs$ 핵자기공명 연구 (Cesium NMR in a Paramagnetic $CsMnCl_{3}$ Single Crystal)

  • Tae-Jong Han
    • 한국자기학회지
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    • 제4권2호
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    • pp.184-187
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    • 1994
  • Czochralski 방법에 의해 성장된 $CsMnCl_{3}$ 단결정에서 $^{133}Cs$의 핵자기 공명을 Bruker FT NMR 분광기를 이용하여 연구하였다. 두 개의 다른 무리의 $^{133}Cs$ 공명선이 관측되었다. : 서로 다른 intensity를 갖는 두 cesium 스펙트럼에 속하는 여러 transition이 분석되었다. Cs(I)의 핵 사중극 결합상수는 $0.15{\pm}0.01$ MHz이고, Cs(II)는 $0.21{\pm}0.01$ MHz이다. 비대칭인자는 두 경우에 대하여 영이고, 일들 두 경우의 EFG 텐서의 주축은 같았다. EFG 텐서의 가장 큰 성분을 만족하는 Z 축은 결정학적인 c축과 나란한 방향임을 알았다.

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유천분지(楡川盆地) 북동부(北東部) 백악기(白堊記) 화산암류(火山岩類)의 화산암석학(火山岩石學) 및 지질구조(地質構造) (Petrology and Structural Geology of the Late Cretaceous Volcanic Rocks in the Northeastern Part of Yucheon Basin)

  • 김상욱;이영길
    • 자원환경지질
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    • 제14권1호
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    • pp.35-49
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    • 1981
  • The studied area is largely occupied by thick piles of the late Cretaceous volcanic rocks of the Yucheon group, which is northeastern border part of the vast volcanic region in the Yucheon basin. The Yucheon group overlies the Geoncheonri Formation and is intruded by granitic and dioritic stocks and dykes. The group can be devided into two parts; the lower is Jusasan andesitic rocks which was called as Jusasan Porphyrite Formation by Tadeiwa in 1929, and the upper is Unmunsa rhyolitic rocks. The volcanic pile consists mainly of various tuffs such as tuff breccia, lapilli tuff, coarse to fine tuff and tuffaceous sediments, and interlayered flows, which range from basaltic andesite to rhyolite in their lithology. The results of petrochemical and volcanostratigraphic studies on the Jusasan andesitic socks suggest that the volcanic rocks were derived from two cyclic evolutions of magmatic fractionation. Systematic study of 5226 joints from the area reveals two sets of steep joints striking $N20^{\circ}-40^{\circ}E$ and $N40^{\circ}-70^{\circ}W$, are dominant and coincide with the fault pattern developed in the area. Three defferent maximum principal stress axes were recognized from conjugate shear joints, which are trending east-west, north-northwest, and north-northeast.

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편광상이 고리 형태의 다파장 스위칭 가능한 1차 광섬유 유연 필터의 스펙트럼 특성 (Spectral Characteristics of Multiwavelength-Switchable First-Order Fiber Flexible Filter based on Polarization-Diversity Loop)

  • 박경수;김영호;이용욱
    • 조명전기설비학회논문지
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    • 제28권8호
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    • pp.6-13
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    • 2014
  • In this paper, a multiwavelength-switchable first-order fiber flexible filter is newly proposed, which is based on a polarization-diversity loop. The proposed filter consists of a polarization beam splitter, three half-wave plates(HWPs), and two high birefringent fibers(HBFs). The proposed filter has a good flexibility in adjusting relative angular difference between the principal axes of two HBFs by inserting an HWP between two HBFs. The first-order flat-top or narrow band transmission spectra and the zeroth-order transmission spectra, which had a channel spacing of ~0.8nm, could be obtained by controlling the three HWPs, and, in particular, each of them could also be interleaved. In addition, zeroth-order transmission spectra with a channel spacing of ~0.8nm could be flexibly converted into those with a channel spacing of ~0.4nm through the control of three HWPs, and also be interleaved. The transmission characteristics of the proposed filter was theoretically analyzed and experimentally verified.

원추형 코일스프링의 강성에 대한 연구 (A Study on the Stiffness of Frustum-shaped Coil Spring)

  • 김진훈;이수종;이경호
    • 한국마린엔지니어링학회:학술대회논문집
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    • 한국마린엔지니어링학회 2001년도 추계학술대회 논문집(Proceeding of the KOSME 2001 Autumn Annual Meeting)
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    • pp.21-27
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    • 2001
  • Springs are widely utilized in machine element. To find out stiffness of frustum-shaped coil spring, the space beam theory using the finite element method is adopted in this paper In three dimensional space, a space frame element is a straight bar of uniform cross section which is capable of resisting axial forces, bending moments about two principal axes in the plane of its cross section and twisting moment about its centroidal axis. The corresponding displacement degrees of freedom are twelve. To find out load vector of coil spring subjected to distributed compression, principle of virtual work is adapted The displacements of nodal points due to small increment of force are calculated by the finite element method and the calculated nodal displacements are added to coordinates of nodal points. The new stiffness matrix of the system using the new coordinates of nodal points is adopted to calculate the another increments of nodal displacements, that is, the step by step method is used in this paper. The results of the finite element method are fairly well agreed with those of various experiments. Using MATLAB program developed in this paper, spring constants and stresses can be predicted by input of few factors.

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강소성 유한요소법을 이용한 평면 이방성 재료의 디프 드로잉 해석 (Analysis of Deep Drawing of Planar Anisotropic Materials Using the Rigid- Plastic Finite Element Method)

  • 김형종;김동원
    • 대한기계학회논문집
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    • 제16권2호
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    • pp.248-258
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    • 1992
  • Three-dimensional rigid-plastic finite element formulation based on the membrane theory was described and a computer program for large deformation analysis was developed. In the formulation, normal and planar anisotropy of sheet material and rotation of the principal axes of anisotropy was taken into consideration. Sheet metal was assumed to be rigid-plastic material obeying Hill's quadratic yield criterion and its associated flow rule. Deep drawing process, as a preliminary test, for normal anisotropic material was analyzed in order to examine the validity of developed finite element program. The results were consistent with the existing finite element solutions or experimental data. The present study was mainly concerned with the influence of planar anisotropy on deformation behaviour. Finite element analysis and experiment were carried out for the whole process of deep drawing of planar anisotropic material. The computational and experimental results on the shape of ear, strain distribution and punch load were in good agreement.

FATIGUE SIMULATION OF POWER TRAIN COMPONENTS DURING THE DESIGN PROCESS

  • Steiner, W.;Steinwender, G.;Unger, B.
    • International Journal of Automotive Technology
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    • 제2권1호
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    • pp.9-16
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    • 2001
  • The lifetime of power train components can be improved dramatically by finding crack initiation points with suitable software tools and optimization of the critical areas. With increasing capacities of computers the prediction of the lifetime for components by numerical methods gets more and more important. This paper discusses some applications of the outstanding fatigue simulation program FEMFAT supporting the assessment of uniaxially and multiaxially loaded components (as well as welding seams and spot joints). The theory applied in FEMFAT differs in some aspects from classical approaches like the nominal stress concept or the local one and can be characterized by the term "influence parameter method". The specimen S/N-curve is locally modified by different influence parameters as stress-gradient to take into account notch effects, mean-stress influence which is quantified by means of a Haigh-diagram, surface roughness and treatments, temperature, technological size, etc. It is possible to consider plastic deformations resulting in mean-stress rearrangements. The dynamic loading of power train components is very often multiaxial, e.g. the stress state at each time is not proportional to one single stress state. Hence, the directions of the principal axes vary with time. We will present the way how such complex load situations can be handled with FEMFAT by the examples of a crank case and a gear box.

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PCA와 Sammon Mapping 분석을 통한 센서 어레이 패턴들의 실시간 가시화 방법 (Real-Time Visualization Techniques for Sensor Array Patterns Using PCA and Sammon Mapping Analysis)

  • 변형기;최장식
    • 센서학회지
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    • 제23권2호
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    • pp.99-104
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    • 2014
  • Sensor arrays based on chemical sensors produce multidimensional patterns of data that may be used discriminate between different chemicals. For the human observer, visualization of multidimensional data is difficult, since the eye and brain process visual information in two or three dimensions. To devise a simple means of data inspection from the response of sensor arrays, PCA (Principal Component Analysis) or Sammon's nonlinear mapping technique can be applied. The PCA, which is a well-known statistical method and widely used in data analysis, has disadvantages including data distortion and the axes for plotting the dimensionally reduced data have no physical meaning in terms of how different one cluster is from another. In this paper, we have investigated two techniques and proposed a combination technique of PCA and nonlinear Sammom mapping for visualization of multidimensional patterns to two dimensions using data sets from odor sensing system. We conclude the combination technique has shown more advantages comparing with the PCA and Sammon nonlinear technique individually.