• Title/Summary/Keyword: Inverse Shape

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Higher Order Moments of Record Values From the Inverse Weibull Lifetime Model and Edgeworth Approximate Inference

  • Sultan, K.S.
    • International Journal of Reliability and Applications
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    • v.8 no.1
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    • pp.1-16
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    • 2007
  • In this paper, we derive exact explicit expressions for the triple and quadruple moments of the lower record values from inverse the Weibull (IW) distribution. Next, we present and calculate the coefficients of the best linear unbiased estimates of the location and scale parameters of IW distribution (BLUEs) for different choices of the shape parameter and records size. We then use the higher order moments and the calculated BLUEs to compute the mean, variance, and the coefficients of skewness and kurtosis of certain linear functions of lower record values. By using the coefficients of the skewness and kurtosis, we develop approximate confidence intervals for the location and scale parameters of the IW distribution using Edgeworth approximate values and then compare them with the corresponding intervals constructed through Monte Carlo simulations. Finally, we apply the findings of the paper to some simulated data.

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Estimating aquifer location using deep neural network with electrical impedance tomography

  • Sharma, Sunam Kumar;Khambampati, Anil Kumar;Kim, Kyung Youn
    • Journal of IKEEE
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    • v.24 no.4
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    • pp.982-990
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    • 2020
  • Groundwater is essential source of the freshwater. Groundwater is stored in the body of the rocks or sediments, called aquifer. Finding an aquifer is a very important part of the geophysical survey. The best method to find the aquifer is to make a borehole. Single borehole is not a suitable method if the aquifer is not located in the borehole drilled area. To overcome this problem, a cross borehole method is used. Using a cross borehole method, we can estimate aquifer location more precisely. Electrical impedance tomography is use to estimate the aquifer location inside the subsurface using the cross borehole method. Electrodes are placed inside each boreholes and area between these boreholes are analysed. An aquifer is a non-uniform structure with complex shape which can represented by the truncated Fourier series. Deep neural network is evaluated as an inverse problem solver for estimating the aquifer boundary coefficients.

A Study on the Crack Detection Using the Wavelet Transformation of Mode Shape for Hull Girder (고유진동형의 웨이블렛 변환에 의한 선체 거더의 균열 진단에 관한 연구)

  • Dae-Sung Lee;Dae-Seung Cho
    • Journal of the Society of Naval Architects of Korea
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    • v.39 no.2
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    • pp.19-27
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    • 2002
  • The early damage detection of large structures is very important to prevent the disaster due to its global failure. In this paper, a crack detection method of the beam-analogy structure based on the wavelet transformation of mode shape is presented. The method can effectively detect the singularity of mode shape caused to the inconsistency of bending moment and shear force at the damaged part using the discrete wavelet of mode shape and its inverse transforms of detail components. To investigate the validity and the applicability of the presented damage detection method, numerical simulation and experiment are carried out for the idealized beam and the real ship structures.

Analysis on the Walking Volumes of a Hexapod System with General 3R Link Legs (일반적 3R 링크를 갖는 6각 보행로봇 다리의 보행체적에 대한 해석)

  • Han, Gyu-Beom;Yang, Chang-Il;Baek, Yun-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.7
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    • pp.2205-2212
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    • 1996
  • In order to move the body of a walking robot translationally, and step over the obstacles, the walking robot must have at least 3 degrees of freedom for each leg. Therefore each leg of the general walking robots can be composed of 3-link system with 3 revolute joints. In this paper, the colsed form of inverse kinimatic solutions is shown for this general 3R linkage. Moreover, in order to have efficient walking volume in rough terrain, the workspace of each log is obtained considering the twist angles and the offsets in D-H parameters. When we design a walking robot, the information of the walking volume is needed for planning desired trajectories of the feet effectively. Appropriate knowledge of the walking volume can also be used to maximize linear or angular velocity of minimize power of stress. However, since it is impossible to obrain the information of walking volume in 3-D space directly from the kinematic equations, the walking volume can be searched through the edge detection algorithm using the triangle tracer with closed from inverse kinematic solutions. In this study, we present the closed form inverse kinematic solutions for 3R linkage model, and the walking volume of 6 legged walking robot which is modeled after the darking bettle, Eleodes obscura sulcipennis, through the method of edge detection for an arbitrary 2 dimensional shape using triangle tracer.

Inverse Radiation Analysis of a Two-Dimensional Irregular Geometry Using Unstructured Triangular Meshes (비정렬 삼각 격자를 이용한 2 차원 비직교 형상에서의 역복사 해석)

  • Yi, Kyung-Joo;Baek, Seung-Wook;Kim, Man-Young
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.35 no.6
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    • pp.561-567
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    • 2011
  • The inverse radiation analysis of a two-dimensional irregular configuration using unstructured triangular meshes is presented. In this study, an enclosure filled with an absorbing, emitting and scattering medium with diffusely emitting and reflecting opaque boundaries is considered. The finite volume method is applied to solve the radiative transfer equation in order to simulate the measured incident radiation values which are used as input data for the inverse analysis. The conjugate gradient method is adopted for the estimation of wall emissivities by minimizing the objective function at each iteration step. To verify the performance of the unstructured grid system, we compare the results with those using a structured grid system for the two-dimensional lopsided shape. The effect of measurement errors on the estimation accuracy is also investigated.

Indirect self-tuning regulator with loopshaping

  • Han, Seong-Ho;Yoshihiro, Takita
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.47.6-47
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    • 2001
  • In this paper a new indirect robust self-tuning regulator is proposed including an inverse system of a plant and a robust compensator such that it achieves the desired frequency shape specified by solving the mixed H$\infty$ sensitivity problem within a prescribed tolerance in the H$\infty$ norm. Consequently, in the proposed self-tuning regulator, robust stability is guaranteed in spite of the identification error.

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Optimization Techniques for the Inverse Analysis of Service Boundary Conditions in a Porous Catalyst Substrate with Fluid-Structure Interaction Problems (유체 구조 상호작용 문제를 가진 다공성 촉매 담체에서 실동경계조건의 역문제 해석을 위한 최적화 기법)

  • Baek, Seok-Heum;Cho, Seok-Swoo;Kim, Hyun-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.10
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    • pp.1161-1170
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    • 2011
  • This paper presents a solution to the inverse problem for the service boundary conditions of thermal-flow and structure analysis in a catalyst substrate. The exhaust-gas purification efficiency of a catalyst substrate is influenced by the shape parameter, catalyst ingredients and so on and is estimated by the thermal flow uniformity. The formulations of the inverse problem of obtaining the thermal-flow parameters (inlet temperature, velocity, heat of reaction, convective heat-transfer coefficient) and the direct problem of estimating from a given outlet temperature distribution are described. An experiment was designed and the response-surface optimization technique was used to solve the proposed inverse problem. The temperature distribution of the catalyst substrate was obtained by thermal-flow analysis for the predicted thermal-flow parameters. The thermal stress and durability assessments for the catalyst substrate were performed on the basis of this temperature distribution. The efficiency and accuracy of the inverse approach have been demonstrated through the achievement of good agreement between the thermal-flow response surface model and the results of experimental vehicle tests.

A Study on the Microstructure and Fatigue Properties of TiNi/A16061 Shape Memory Composite (TiNi/A16061 형상기억복합재료의 미세조직 및 피로특성에 관한 연구)

  • Yun, Du-Pyo;Park, Yeong-Cheol;Kim, Sun-Guk;Lee, Jun-Hui;Lee, Gyu-Chang
    • Korean Journal of Materials Research
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    • v.8 no.11
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    • pp.993-998
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    • 1998
  • In this study TiNi/A16061 shape memory composite is introduced as one of new material using a shape memory alloy. High tensile strength of composite due to compressive residual stress in matrix by the shape memory effect of TiNi fiber can be produced. This composite can remove the tensile residual stress by the difference of coefficients of thermal expansion between fiber and matrix. one of the significant weak point of metal matrix composite. In this paper, shape memory composites are made by squeeze casting. And then, microstructure and fatigue properties of the composites by shape memory effect above inverse transformation temperature A, of TiNi alloy are discussed. The results of the fatigue crack control properties of TiNi/A16061 shape memory composite by a squeeze casting are summarized as follows the effect of fatigue crack propagation control at 363K increases according to the increase of volume fraction and prestrain in composites.

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A Study on the Distribution of the Elementary Girls' Size Dimensions according to Ages and Body Shapes (학령기 여아 연령별, 체형별 치수분포특성)

  • Kang, Yeo-Sun
    • Journal of the Korean Society of Clothing and Textiles
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    • v.33 no.2
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    • pp.230-243
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    • 2009
  • The purpose of this study was to analyse the body sizes of $7{\sim}12$ years elementary school girls and also to categorize KS size dimensions by the detailed information of ages and body shapes. For the study, the data of SizeKorea(2004) was analysed. Height, bust, waist, hip, the ratio of waist to height and hip to height were significant between age groups, but the ratio of bust to height was not. Therefore, the increase of bust size was resulted in growth of bust circumference, instead of bust volume. In the same height group, over 11 year girls had smaller waist, while over 12 year girls had bigger hip. For Grouping girls by ages and body shapes, the ages were divided into 2 groups, under 10 years old and 11 to 12 years old. The body shapes classified into 3 groups 'Stout-shape', 'Middle-shape', and 'slim-shape', by the ratios of bust to height and hip to height. 'Stout-shape' was significantly big at the almost sizes, but 'Middle-shape' was significantly big at only circumferences, not lengths. In addition, drop(the difference between bust and hip) and lower-drop(the difference between waist and hip) were in inverse proportion to the ratios of bust to height and hip to height. It meant the increases of bust-ratio and hip-ratio of 'Stout-shape' were resulted in overweight, rather than female matureness. The distribution of sizes over 0.5% were grouped for grading system and the subtotal percentiles of each group were calculated for industrial data. The groups which covered more than 10% of consumers were 2 to 6 and the 1 or 2 groups for 'Stout-shape' were also observed, so that children's ready-to wear companies could use them efficiently for their own consumer target.

Damage assessment from curvature mode shape using unified particle swarm optimization

  • Nanda, Bharadwaj;Maity, Damodar;Maiti, Dipak Kumar
    • Structural Engineering and Mechanics
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    • v.52 no.2
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    • pp.307-322
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    • 2014
  • A two-step procedure to detect and quantify damages in structures from changes in curvature mode shapes is presented here. In the first step the maximum difference in curvature mode shapes of the undamaged and damaged structure are used for visual identification of the damaged internal-substructure. In the next step, the identified substructures are searched using unified particle swarm optimization technique for exact identification of damage location and amount. Efficiency of the developed procedure is demonstrated using beam like structures. This methodology may be extended for identifying damages in general frame structures.