• Title/Summary/Keyword: Inverse Theory

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Free and forced vibration analysis of FG-CNTRC viscoelastic plate using high shear deformation theory

  • Mehmet Bugra Ozbey;Yavuz Cetin Cuma;Ibrahim Ozgur Deneme;Faruk Firat Calim
    • Advances in nano research
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    • v.16 no.4
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    • pp.413-426
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    • 2024
  • This paper investigates the dynamic behavior of a simply supported viscoelastic plate made of functionally graded carbon nanotube reinforced composite under dynamic loading. Carbon nanotubes are distributed in 5 different shapes: U, V, A, O and X, depending on the shape they form through the thickness of the plate. The displacement fields are derived in the Laplace domain using a higher-order shear deformation theory. Equations of motion are obtained through the application of the energy method and Hamilton's principle. The resulting equations of motion are solved using Navier's method. Transforming the Laplace domain displacements into the time domain involves Durbin's modified inverse Laplace transform. To validate the accuracy of the developed algorithm, a free vibration analysis is conducted for simply supported plate made of functionally graded carbon nanotube reinforced composite and compared against existing literature. Subsequently, a parametric forced vibration analysis considers the influence of various parameters: volume fractions of carbon nanotubes, their distributions, and ratios of instantaneous value to retardation time in the relaxation function, using a linear standard viscoelastic model. In the forced vibration analysis, the dynamic distributed load applied to functionally graded carbon nanotube reinforced composite viscoelastic plate is obtained in terms of double trigonometric series. The study culminates in an examination of maximum displacement, exploring the effects of different carbon nanotube distributions, volume fractions, and ratios of instantaneous value to retardation times in the relaxation function on the amplitudes of maximum displacements.

Estimation of Wave Power in Korean Coastal Waters (파랑에너지 해석 및 가용량 평가 연구)

  • 김현주;최학선;김선경
    • Journal of Ocean Engineering and Technology
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    • v.12 no.1
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    • pp.107-112
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    • 1998
  • The purpose of this study is to analyze the amount of available wave power and its characteristics related to the development of apractical system for ocean wave energy conversion in Korean coastal waters. The analysis method of wave power was established through comparison between theory and numerical simulation of deep sea wave by Inverse Fourier Transform with random phase method. Based on the results of comparison, wave power was estimated by use of data set from observed offshore and coastal waves and hindasted deep sea waves around the Korean peninsula. Annual mean wave power is estimated as about 1.8 ~ 7.0 kW for every metre of wave frontage at East sea, 1.5~5.3 kW at South sea and 1.0 ~ 4.1 kW at West sea, respectively. Mean wave power along deep sea front of coastal waters of Korea amounts to about 4.7 GW. Regional distribution and seasonal variation of wave power were discussed to develop practical utilization system of wave power of not so high grade of available wave power.

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Modal analysis of cracked cantilever composite beams

  • Kisa, Murat;Arif Gurel, M.
    • Structural Engineering and Mechanics
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    • v.20 no.2
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    • pp.143-160
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    • 2005
  • Modal analysis of cracked cantilever composite beams, made of graphite-fibre reinforced polyamide, is studied. By using the finite element and component mode synthesis methods, a numeric model applicable to investigate the vibration of cracked composite beams is developed. In this new approach, from the crack section, the composite beam separated into two parts coupled by a flexibility matrix taking into account the interaction forces. These forces are derived from the fracture mechanics theory as the inverse of the compliance matrix calculated with the proper stress intensity factors and strain energy release rate expressions. Numerical results are obtained for modal analysis of composite beams with a transverse non-propagating open crack, addressing the effects of the location and depth of the crack, and the volume fraction and orientation of the fibre on the natural frequencies and mode shapes. By means of modal data, the position and dimension of the defect can be found. The results of the study confirmed that presented method is suitable for the vibration analysis of cracked cantilever composite beams. Present technique can be easily extended to composite plates and shells.

A Study on Escalation of Commitment Behavior in Software Projects : The Perspective of Cultural Differences (소프트웨어 개발 프로젝트에서 수행의 지속행위에 관한 연구 : 문화적 차이의 관점에서)

  • 김인재;심형섭;김종은
    • Journal of Information Technology Applications and Management
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    • v.11 no.2
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    • pp.1-14
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    • 2004
  • The level of sunk cost and risk-taking theory have been offered as one explanation for the escalation of commitment behavior. This Study attempted to replicate Keil's study in Korea. Keil examined the level of sunk cost associated with the risk propensity and risk perception of decision-makers, and these factors are assessed for cross-cultural robustness using matching laboratory experiments carried out in three countries. The level of sunk cost and the risk perception of decision-makers contributed significantly to their continuous willingness to their project. Moreover, the risk propensity of decision-makers was inversely related to risk perception, and this inverse relationship was significantly more weak in Korea than in Singapore. These results show that the sunk-cost effect exists across cultures, and that the risk-taking behaviors are partially mediated by cultural factors.

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Instantaneous Following Control of Half-Bridge DC-DC Converter (하프브리지 DC-DC 컨버터의 순시추종제어)

  • Ra B.H.;Lee H.W.;Kim S.D.;Kim K.T.
    • Proceedings of the KIPE Conference
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    • 2003.07a
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    • pp.54-57
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    • 2003
  • A new non linear, mean value, instantaneous following control technique to design half bridge converter is proposed in witch control principle uses characteristic that reset time of analog integrator is inverse proportion In input voltage. It is Important characteristic that compensation and follow-up control time are same with switching frequency. Is completed in one cycle that base control frequency. Have excellence characteristic that follow in order instruction value exactly stationary state as well as transient state. Half bridge converter that apply this control principle can know that have stabilize and excellence characteristic. This technique is verified through an experiment, and know that experiment result and theory agree well.

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On Jacket Matrices Based on Weighted Hadamard Matrices

  • Lee Moon-Ho;Pokhrel Subash Shree;Choe Chang-Hui;Kim Chang-Joo
    • Journal of electromagnetic engineering and science
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    • v.7 no.1
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    • pp.17-27
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    • 2007
  • Jacket matrices which are defined to be $n{\times}n$ matrices $A=(a_{jk})$ over a field F with the property $AA^+=nI_n$ where $A^+$ is the transpose matrix of elements inverse of A,i.e., $A^+=(a_{kj}^-)$, was introduced by Lee in 1984 and are used for signal processing and coding theory, which generalized the Hadamard matrices and Center Weighted Hadamard matrices. In this paper, some properties and constructions of Jacket matrices are extensively investigated and small orders of Jacket matrices are characterized, also present the full rate and the 1/2 code rate complex orthogonal space time code with full diversity.

BIPOLAR FUZZY SET THEORY APPLIED TO SUB-SEMIGROUPS WITH OPERATORS IN SEMIGROUPS

  • Kang, Mee-Kwang;Kang, Jeong-Gi
    • The Pure and Applied Mathematics
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    • v.19 no.1
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    • pp.23-35
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    • 2012
  • Given a set ${\Omega}$ and the notion of bipolar valued fuzzy sets, the concept of a bipolar ${\Omega}$-fuzzy sub-semigroup in semigroups is introduced, and related properties are investigated. Using bipolar ${\Omega}$-fuzzy sub-semigroups, bipolar fuzzy sub-semigroups are constructed. Conversely, bipolar ${\Omega}$-fuzzy sub-semigroups are established by using bipolar fuzzy sub-semigroups. A characterizations of a bipolar ${\Omega}$-fuzzy sub-semigroup is provided, and normal bipolar ${\Omega}$-fuzzy sub-semigroups are discussed. How the homomorphic images and inverse images of bipolar ${\Omega}$-fuzzy sub-semigroups become bipolar ${\Omega}$-fuzzy sub-semigroups are considered.

Development of a nonlinear biomechanical soft tissue model for a virtual surgery trainer (가상수술기를 위한 비선형 생체 모델의 개발)

  • Kim J.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.911-914
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    • 2005
  • Soft tissue characterization and modeling based on living tissues has been investigated in order to provide a more realistic behavior in a virtual reality based surgical simulation. In this paper, we characterize the nonlinear viscoelastic properties of intra-abdominal organs using the data from in vivo animal experiments and inverse FE parameter estimation algorithm. In the assumptions of quasi-linear-viscoelastic theory, we estimated the nonlinear material parameters to provide a physically based simulation of tissue deformations. To calibrate the parameters to the experimental results, we developed a three dimensional FE model to simulate the forces at the indenter and an optimization program that updates new parameters and runs the simulation iteratively. The comparison between simulation and experimental behavior of pig intra abdominal soft tissue are presented to provide a validness of the tissue model using our approach.

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A Study on the method for finding the degree of proficiency of technicians by the use of VTR and Machine of working character tests by a pattern of YK (VTR 및 YK식(式) 작업성격검사기(作業性格檢査器)를 이용(利用)한 기능공(技能工)의 숙련도측정(熟練度測定)에 관(關)한 연구(硏究))

  • Lee, Sun-Yo
    • Journal of Korean Institute of Industrial Engineers
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    • v.2 no.1
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    • pp.45-60
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    • 1976
  • In this study, Multiple Factor Analysis was undertaken for the purpose of substituting General Vocational Aptitude tester for paper tests according to the standardized and partially modified norm, and compared and analyzed these aptitude tests YK Type Working Character test for a test battery. In this analysis, four basis aptitude cluster of AQE was utilized as aptitude cluster, the study for skill was carried out by the method of sampling electronic aptitude cluster in four basis ones, and the parts needed in the process of its analysis were investigated by means of Video-Tape Recording. This paper was performed with sample test by application of the inverse variation curve from learning theory and induced learning rate as a measure of the degree of proficient of technicians, and from the obtained results illustrated optimum newly-production plan of ability program and load program by the use of computer program.

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SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E42

  • Kula, Levent;Yayli, Yusuf
    • Journal of the Korean Mathematical Society
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    • v.44 no.6
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    • pp.1313-1327
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    • 2007
  • We review the algebraic structure of $\mathbb{H}{\sharp}$ and show that $\mathbb{H}{\sharp}$ has a scalar product that allows as to identify it with semi Euclidean ${\mathbb{E}}^4_2$. We show that a pair q and p of unit split quaternions in $\mathbb{H}{\sharp}$ determines a rotation $R_{qp}:\mathbb{H}{\sharp}{\rightarrow}\mathbb{H}{\sharp}$. Moreover, we prove that $R_{qp}$ is a product of rotations in a pair of orthogonal planes in ${\mathbb{E}}^4_2$. To do that we call upon one tool from the theory of second ordinary differential equations.