• Title/Summary/Keyword: Matrix structures

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Design of Ternary Logic Circuits Based on Reed-Muller Expansions (Reed-Muller 전개식에 의한 3치 논리회로의 설계)

  • Seong, Hyeon-Kyeong
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.3
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    • pp.491-499
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    • 2007
  • In this paper, we present a design method of the ternary logic circuits based on Reed-Muller expansions. The design method of the presented ternary logic circuits checks the degree of each variable for the coefficients of Reed-Holler Expansions(RME) and determines the order of optimal control input variables that minimize the number of Reed-Muller Expansions modules. The order of optimal control input variables is utilized the computation of circuit cost matrix. The ternary logic circuits of the minimized tree structures to be constructed by RME modules based on Reed-Muller Expansions are realized using the computation results of its circuit cost matrix. This method is only performed under unit time in order to search for the optimal control input variables. Also, this method is able to be programmed by computer and the run time on programming is $3^n$.

Vibration of axially moving 3-phase CNTFPC plate resting on orthotropic foundation

  • Arani, Ali Ghorbanpour;Haghparast, Elham;Zarei, Hassan Baba Akbar
    • Structural Engineering and Mechanics
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    • v.57 no.1
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    • pp.105-126
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    • 2016
  • In the present study, modelling and vibration control of axially moving laminated Carbon nanotubes/fiber/polymer composite (CNTFPC) plate under initial tension are investigated. Orthotropic visco-Pasternak foundation is developed to consider the influences of orthotropy angle, damping coefficient, normal and shear modulus. The governing equations of the laminated CNTFPC plates are derived based on new form of first-order shear deformation plate theory (FSDT) which is simpler than the conventional one due to reducing the number of unknowns and governing equations, and significantly, it does not require a shear correction factor. Halpin-Tsai model is utilized to evaluate the material properties of two-phase composite consist of uniformly distributed and randomly oriented CNTs through the epoxy resin matrix. Afterwards, the structural properties of CNT reinforced polymer matrix which is assumed as a new matrix and then reinforced with E-Glass fiber are calculated by fiber micromechanics approach. Employing Hamilton's principle, the equations of motion are obtained and solved by Hybrid analytical numerical method. Results indicate that the critical speed of moving laminated CNTFPC plate can be improved by adding appropriate values of CNTs. These findings can be used in design and manufacturing of marine vessels and aircrafts.

Optimized finite element model updating method for damage detection using limited sensor information

  • Cheng, L.;Xie, H.C.;Spencer, B.F. Jr.;Giles, R.K.
    • Smart Structures and Systems
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    • v.5 no.6
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    • pp.681-697
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    • 2009
  • Limited, noisy data in vibration testing is a hindrance to the development of structural damage detection. This paper presents a method for optimizing sensor placement and performing damage detection using finite element model updating. Sensitivity analysis of the modal flexibility matrix determines the optimal sensor locations for collecting information on structural damage. The optimal sensor locations require the instrumentation of only a limited number of degrees of freedom. Using noisy modal data from only these limited sensor locations, a method based on model updating and changes in the flexibility matrix successfully determines the location and severity of the imposed damage in numerical simulations. In addition, a steel cantilever beam experiment performed in the laboratory that considered the effects of model error and noise tested the validity of the method. The results show that the proposed approach effectively and robustly detects structural damage using limited, optimal sensor information.

Harmonic seismic waves response of 3D rigid surface foundation on layer soil

  • Messioud, Salah;Sbartai, Badredine;Dias, Daniel
    • Earthquakes and Structures
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    • v.16 no.1
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    • pp.109-118
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    • 2019
  • This study, analyses the seismic response for a rigid massless square foundation resting on a viscoelastic soil layer limited by rigid bedrock. The foundation is subjected either to externally applied forces or to obliquely incident seismic body or surface harmonic seismic waves P, SV and SH. A 3-D frequency domain BEM formulation in conjunction with the thin layer method (TLM) is adapted here for the solution of elastodynamic problems and used for obtained the seismic response. The mathematical approach is based on the method of integral equations in the frequency domain using the formalism of Green's functions (Kausel and Peck 1982) for layered soil, the impedance functions are calculated by the compatibility condition. In this study, The key step is the characterization of the soil-foundation interaction with the input motion matrix. For each frequency the impedance matrix connects the applied forces to the resulting displacement, and the input motion matrix connects the displacement vector of the foundation to amplitudes of the free field motion. This approach has been applied to analyze the effect of soil-structure interaction on the seismic response of the foundation resting on a viscoelastic soil layer limited by rigid bedrock.

Investigation of expanding-folding absorbers with functionally graded thickness under axial loading and optimization of crushing parameters

  • Chunwei, Zhang;Limeng, Zhu;Farayi, Musharavati;Afrasyab, Khan;Tamer A., Sebaey
    • Steel and Composite Structures
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    • v.45 no.6
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    • pp.775-796
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    • 2022
  • In this study, a new type of energy absorbers with a functionally graded thickness is investigated, these type of absorbers absorb energy through expanding-folding processes. The expanding-folding absorbers are composed of two sections: a thin-walled aluminum matrix and a thin-walled steel mandrel. Previous studies have shown higher efficiency of the mentioned absorbers compared to the conventional ones. In this study, the effect of thickness which has been functionally-graded on the aluminum matrix (in which expansion occurs) was investigated. To this end, initial functions were considered for the matrix thickness, which was ascending/descending along the axis. The study was done experimentally and numerically. Comparing the experimental data with the numerical results showed high consistency between the numerical and experimental results. In the final section of this study, the best energy absorber functionally graded thickness was introduced by optimization using a third-order genetic algorithm. The optimization results showed that by choosing a minimum thickness of 1.6 mm and the exponential coefficient of 3.25, the most optimal condition can be obtained for descending thickness absorbers.

Active Vibration Control of a Structure with Output Feedback Based on Simultaneous Optimization Design Method

  • Kim, Young-Bok
    • Journal of Mechanical Science and Technology
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    • v.14 no.1
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    • pp.57-64
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    • 2000
  • Recent advances in the field of control theory have enabled us to design active vibration control systems for various structures. In many studies, the controller used to suppress vibration has been synthesized for the given mathematical model of structure. In these cases, the designer has not been able to utilize the degree of freedom to adjust the structural parameters of the control object. To overcome this problem, so called 'Structure/Control Simultaneous Optimization Method' is used. In this context of view, this paper is concerned with the active vibration control of bridge towers, platforms and ocean vehicles etc. Simultaneous design method is used to achieve optimal system performance. Here, a general framework for the simultaneous design problem of output feedback case is introduced based on LMI (Linear Matrix Inequality). The simulation results show that the proposed design method achieves desirable control performance.

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ANALYSIS OF POSSIBLE PRE-COMPUTATION AIDED DLP SOLVING ALGORITHMS

  • HONG, JIN;LEE, HYEONMI
    • Journal of the Korean Mathematical Society
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    • v.52 no.4
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    • pp.797-819
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    • 2015
  • A trapdoor discrete logarithm group is a cryptographic primitive with many applications, and an algorithm that allows discrete logarithm problems to be solved faster using a pre-computed table increases the practicality of using this primitive. Currently, the distinguished point method and one extension to this algorithm are the only pre-computation aided discrete logarithm problem solving algorithms appearing in the related literature. This work investigates the possibility of adopting other pre-computation matrix structures that were originally designed for used with cryptanalytic time memory tradeoff algorithms to work as pre-computation aided discrete logarithm problem solving algorithms. We find that the classical Hellman matrix structure leads to an algorithm that has performance advantages over the two existing algorithms.

TWO-PHASE WAVE PROPAGATIONS PREDICTED BY HLL SCHEME WITH INTERFACIAL FRICTION TERMS (계면마찰항을 고려한 이상유동에서 파동전파에 대한 수치적 연구)

  • Yeom, G.S.;Chang, K.S.;Chung, M.S.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.11a
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    • pp.115-119
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    • 2009
  • We numerically investigated propagation of various waves in the two-phase flows such as sound wave, shock wave, rarefaction wave, and contact discontinuity in terms of pressure, void fraction, velocity and density of the two phases. The waves have been generated by a hydrodynamic shock tube, a pair of symmetric impulsive expansion, impulsive pressure and impulsive void waves. The six compressible two-fluid two-phase conservation laws with interfacial friction terms have been solved in two fractional steps. The first PDE Operator is solved by the HLL scheme and the second Source Operator by the semi-implicit stiff ODE solver. In the HLL scheme, the fastest wave speeds were estimated by the analytic eigenvalues of an approximate Jacobian matrix. We have discussed how the interfacial friction terms affect the wave structures in the numerical solution.

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Collapse Behavior of Vehicle Structures (처체구조물의 붕괴거동)

  • 김천욱;한병기;원종진;이종선
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.3
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    • pp.54-62
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    • 1998
  • In this study, collapse behavior of frame composed of thin-walled rectangular tube is investigated. Considering the collapse of frame, the bending and compression members undergo large deformation. The stiffness of the compound element is obtained from analytical moment-rotation relationship and approximated load-deflection relationsh- ip of thin-walled rectangular tube. A computer program is developed for the large deformation analysis of frame. An incremental displacement method is used in the program and at each incremental stage, the stiffness matrix of the total structure is checked with the state of each element for bending and compression.

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Tailoring ECC for Special Attributes: A Review

  • Li, Victor C.
    • International Journal of Concrete Structures and Materials
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    • v.6 no.3
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    • pp.135-144
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    • 2012
  • This article reviews the tailoring of engineered cementitious composites (ECC), a type of high performance fiber reinforced cementitious composites with a theoretical design basis, for special attributes or functions. The design basis, a set of analytic tools built on micromechanics, provides guidelines for tailoring of fiber, matrix, and fiber/matrix interfaces to attain tensile ductility in ECC. If conditions for controlled multiple cracking are disturbed by the need to introduce ingredients to attain a special attribute or function, micromechanics then serve as a systematic and rational means to efficiently recover composite tensile ductility. Three examples of ECCs with attributes of lightweight, high early strength, and self-healing functions, are used to illustrate these tailoring concepts. The fundamental approach, however, is broadly applicable to a wide variety of ECCs designed for targeted fresh and/or hardened characteristics required for specific applications.