• Title/Summary/Keyword: Tensor Space

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Static and dynamic load superposition in spacecraft structural analysis

  • Vaquer-Araujo, Xavier;Schottle, Florian;Kommer, Andreas;Konrad, Werner
    • Advances in aircraft and spacecraft science
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    • v.5 no.2
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    • pp.259-275
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    • 2018
  • In mechanical analysis of spacecraft structures situations appear where static and dynamic loads must be considered simultaneously. This could be necessary either by load definition or preloaded structures. The superposition of these environments has an impact on the load and stress distribution of the analysed structures. However, this superposition cannot be done by adding both load contributions directly. As an example, to compute equivalent Von Mises stresses, the phase information must be taken into account in the stress tensor superposition. Finite Element based frequency response solvers do not allow the calculation of superposed static and dynamic responses. A manual combination of loads in a post-processing task is required. In this paper, procedures for static and harmonic loads superposition are presented and supported by analytical and finite element-based examples. The aim of the paper is to provide evidence of the risks of using different superposition techniques. Real application examples such as preloaded mechanism structures and propulsion system tubing assemblies are provided. This study has been performed by the Structural Engineering department of Airbus Defence and Space GmbH Friedrichshafen.

Characteristics of in situ stress regime measured by hydraulic fracturing technique and its application on tunnel design (현지암반 초기지압의 분포특성 및 암반터널설계에의 적용)

  • Choi, Sung-Oong
    • Tunnel and Underground Space
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    • v.7 no.4
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    • pp.323-333
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    • 1997
  • A rock mass is usually classified by the results of geological survey and laboratory tests on rock specimens in order to obtain the adequate properties for the numerical analysis. For these purposes a rock mass strength is estimated based on the empirical criterion proposed by Hoek and Brown and a modulus of deformation is taken with the empirical relations developed by Bieniawski, Serafim and Pereira. In addition, the $K_o$ value which is the ratio of the horizontal stress to the vertical stress is one of the most important input data in the numerical analysis. Its role on a tunnel stability analysis could be verified with the numerical results taken by a finite difference code or a distinct element code. However, a deduced value used to be applied for the $K_o$ value in most of tunnel designs, even though the patterns of stress tensor are variable with regions and depths. Thus in situ stresses were measured by a hydraulic fracturing technique on several tunnel sites and applied directly to the tunnel design for the enhancement of its precision. With those informations on in situ stresses, the safe design should be obtained economically on the road or subway tunnels.

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ON OPERATORS SATISFYING Tm(T|T|2kT)1/(k+1)Tm ≥ Tm|T|2Tm

  • Rashid, Mohammad H.M.
    • Communications of the Korean Mathematical Society
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    • v.32 no.3
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    • pp.661-676
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    • 2017
  • Let T be a bounded linear operator acting on a complex Hilbert space ${\mathfrak{H}}$. In this paper we introduce the class, denoted ${\mathcal{Q}}(A(k),m)$, of operators satisfying $T^{m{\ast}}(T^{\ast}{\mid}T{\mid}^{2k}T)^{1/(k+1)}T^m{\geq}T^{{\ast}m}{\mid}T{\mid}^2T^m$, where m is a positive integer and k is a positive real number and we prove basic structural properties of these operators. Using these results, we prove that if P is the Riesz idempotent for isolated point ${\lambda}$ of the spectrum of $T{\in}{\mathcal{Q}}(A(k),m)$, then P is self-adjoint, and we give a necessary and sufficient condition for $T{\otimes}S$ to be in ${\mathcal{Q}}(A(k),m)$ when T and S are both non-zero operators. Moreover, we characterize the quasinilpotent part $H_0(T-{\lambda})$ of class A(k) operator.

Variational Auto Encoder Distributed Restrictions for Image Generation (이미지 생성을 위한 변동 자동 인코더 분산 제약)

  • Yong-Gil Kim
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.23 no.3
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    • pp.91-97
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    • 2023
  • Recent research shows that latent directions can be used to image process towards certain attributes. However, controlling the generation process of generative model is very difficult. Though the latent directions are used to image process for certain attributes, many restrictions are required to enhance the attributes received the latent vectors according to certain text and prompts and other attributes largely unaffected. This study presents a generative model having certain restriction to the latent vectors for image generation and manipulation. The suggested method requires only few minutes per manipulation, and the simulation results through Tensorflow Variational Auto-encoder show the effectiveness of the suggested approach with extensive results.

OPERATORS A, B FOR WHICH THE ALUTHGE TRANSFORM ${\tilde{AB}}$ IS A GENERALISED n-PROJECTION

  • Bhagwati P. Duggal;In Hyoun Kim
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.6
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    • pp.1555-1566
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    • 2023
  • A Hilbert space operator A ∈ B(H) is a generalised n-projection, denoted A ∈ (G-n-P), if A*n = A. (G-n-P)-operators A are normal operators with finitely countable spectra σ(A), subsets of the set $\{0\}\,{\cup}\,\{\sqrt[n+1]{1}\}.$ The Aluthge transform à of A ∈ B(H) may be (G - n - P) without A being (G - n - P). For doubly commuting operators A, B ∈ B(H) such that σ(AB) = σ(A)σ(B) and ${\parallel}A{\parallel}\,{\parallel}B{\parallel}\;{\leq}\;{\parallel}{\tilde{AB}}{\parallel},$ ${\tilde{AB}}\;{\in}\;(G\,-\,n\,-\,P)$ if and only if $A\;=\;{\parallel}{\tilde{A}}{\parallel}\,(A_{00}\,{\oplus}\,(A_0\,{\oplus}\,A_u))$ and $B\;=\;{\parallel}{\tilde{B}}{\parallel}\,(B_0\,{\oplus}\,B_u),$ where A00 and B0, and A0 ⊕ Au and Bu, doubly commute, A00B0 and A0 are 2 nilpotent, Au and Bu are unitaries, A*nu = Au and B*nu = Bu. Furthermore, a necessary and sufficient condition for the operators αA, βB, αà and ${\beta}{\tilde{B}},\;{\alpha}\,=\,\frac{1}{{\parallel}{\tilde{A}}{\parallel}}$ and ${\beta}\,=\,\frac{1}{{\parallel}{\tilde{B}}{\parallel}},$ to be (G - n - P) is that A and B are spectrally normaloid at 0.

Correction of the Sea Effect in the Magnetotelluric (MT) Data Using an Iterative Tensor Stripping During Inversion (MT 자료 역산과정에서 반복적인 Tensor Stripping을 통한 해양효과 보정)

  • Yang, Jun-Mo;Lee, Chun-Ki;Yoo, Hai-Soo
    • Geophysics and Geophysical Exploration
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    • v.11 no.4
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    • pp.286-301
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    • 2008
  • When magnetotelluric (MT) data are obtained in vicinity of the coast, the sea can distort observed MT responses, especially those of deep part of subsurface. We introduce an iterative method to correct the sea effect, based on the previous topographic correction method which removes the distortions due to topographic changes in seafloor MT data. The method first corrects the sea effect in observed MT impedance, and then inverts corrected responses in a model space without the sea. Due to mutual coupling between sea and subsurface structure, the correction and inversion steps are iterated until changes in each result become negligible. The method is validated for 1-D and 2-D structure using synthetic MT data produced by 3-D forward modeling including surrounding seas. In all cases, the method closely recovers the given structure after a few iterations. To test the applicability of the proposed method to field data, we generate synthetic MT data for the Jeju Island whose 1-D conductivity structure is well known, using 3-D forward modeling. The distortions due to the surrounding sea start to appear below the frequency about 1 Hz, and are relatively severe in the electrical field perpendicular to the coastline because of the location of the observation sites. The proposed method successfully eliminates the sea effect after three iterations, and both 1-D and 2-D inversion of corrected responses closely recover the given subsurface structure of the Jeju Island model.

Remote Multi-control Smart Farm with Deep Learning Growth Diagnosis Function

  • Kim, Mi-jin;Kim, Ji-ho;Lee, Dong-hyeon;Han, Jung-hoon
    • Journal of the Korea Society of Computer and Information
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    • v.27 no.9
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    • pp.49-57
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    • 2022
  • Currently, the problem of food shortage is emerging in our society due to climate problems and an increase population in the world. As a solution to this problem, we propose a multi-remote control smart farm that combines artificial intelligence (AI) and information and communication technology (ICT) technologies. The proposed smart farm integrates ICT technology to remotely control and manage crops without restrictions in space and time, and to multi-control the growing environment of crops. In addition, using Arduino and deep-learning technology, a smart farm capable of multiple control through a smart-phone application (APP) was proposed, and Ai technology with various data securing and diagnosis functions while observing crop growth in real-time was included. Various sensors in the smart farm are controlled by using the Arduino, and the data values of the sensors are stored in the built database, so that the user can check the stored data with the APP. For multiple control for multiple crops, each LED, COOLING FAN, and WATER PUMP for two or more growing environments were applied so that the user could control it conveniently. And by implementing an APP that diagnoses the growth stage through the Tensor-Flow framework using deep-learning technology, we developed an application that helps users to easily diagnose the growth status of the current crop.

Comparison of Two- and Three-dimensional Approaches for the Numerical Determination of Equivalent Mechanical Properties of Fractured Rock Masses (균열암반의 역학적 등가물성의 수치해석적 결정을 위한 2차원 및 3차원 해석의 비교)

  • Min, Ki-Bok;Thoraval, Alain
    • Tunnel and Underground Space
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    • v.22 no.2
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    • pp.93-105
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    • 2012
  • This paper compares the two- and three-dimensional (2D and 3D) approaches for the numerical determination of the equivalent mechanical properties of fractured rock masses. Both orthogonally-fractured model and discrete fracture networks (DFN) were used for the geometry and 2D models were cut in various directions from 3D model to compare their mechanical properties. Geological data were loosely based on the data available from Sellafield, UK. Analytical method based on compliance tensor transformation was used for investigation in orthogonally fractured rock and numerical experiments were conducted on fractured rock mass with DFN geometry. It is shown that 2D approach always overestimates the elastic modulus of fractured rock masses by a factor of up to around two because fractures are assumed to be perpendicular to the model plane in 2D problems. Poisson ratios tend to have larger values in 2D analysis while there is opposite trend in some sections. The study quantitatively demonstrates the limitation of the 2D approach that uses the simplified model from true 3D geometry.

Characteristics of Block Hydraulic Conductivity of 2-D DFN System According to Block Size and Fracture Geometry (블록크기 및 균열의 기하학적 속성에 따른 2-D DFN 시스템의 블록수리전도도 특성)

  • Han, Jisu;Um, Jeong-Gi
    • Tunnel and Underground Space
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    • v.25 no.5
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    • pp.450-461
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    • 2015
  • Extensive numerical experiments have been carried out to investigate effect of block size and fracture geometry on hydraulic characteristics of fractured rock masses based on connected pipe flow in DFN systems. Using two fracture sets, a total of 72 2-D fracture configurations were generated with different combinations of fracture size distribution and deterministic fracture density. The directional block conductivity including the theoretical block conductivity, principal conductivity tensor and average block conductivity for each generated fracture network system were calculated using the 2-D equivalent pipe network method. There exist significant effects of block size, orientation, density and size of fractures in a fractured rock mass on its hydraulic behavior. We have been further verified that it is more difficult to reach the REV size for the fluid flow network with decreasing intersection angle of two fracture sets, fracture plane density and fracture size distribution.

The Clinical Significance of Vein Graft in Free-Flap Transfer (유리피판 이식에서 정맥이식의 임상적 의의)

  • Lee, Kwang-Suk;Woo, Kyung-Jo;Jung, Dae-Chul;Jung, Jae-Hyo
    • Archives of Reconstructive Microsurgery
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    • v.5 no.1
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    • pp.70-79
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    • 1996
  • From January 1980 to May 1995, ninety-six patients had been treated by free-flap transfer for the soft tissue defects of the extremities. Ninety-eight cases of free-tissue transfer were reviewed to evaluate the clinical reliability in terms of survival and quality of long-time function after reconstructive surgery. Among these 98 cases(27 cases in latissimus dorsi myocutaneous flap, 25 in dorsalis pedis flap, 20 in forearm fasciocutaneous flap, 9 in groin flap, 7 in gracilis myocutaneous flap, 6 in 1st web space flap of foot and 4 cases in tensor fascia lata flap), 92 cases of then were survived. 7 cases were performed with vein grafts. We ananalyzed the reconstruction of the extremities on 98 cases with the soft tissue defects which had been reconstructed free-flap transfer and followed for minimum 1 year period at Korea University Hospital. 1. 92 cases(93.9%) of the total 98 cases were successful and can be obtained the excellent results in soft tissue free-flap transfer. 2. While there were no clinically significant differences in survival rate of flaps transferred from different potential flap donor sites,3 cases of 9 groin flaps were showed higher failure rate due to the complications such as arterial thrombosis, infection and anatomical variation of vessels. 3. Postoperative thrombectomy was performed in 30 cases to be occured in the arterial and venous thrombosis. The revision was failed in 2 cases due to persistent arterial thrombosis and infection, then treated with skin graft. 4. Vein graft was frequently required in severely compromised-soft tissue defects resulted from high-energy trauma. The vein graft was not stitistically significant on the frequency of flap failure rate(P<0.04). 5. Meticulous monitoring, careful planning, early revision and technical considerations will provide for a high clinical success of the free-flap transfer.

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