• Title/Summary/Keyword: structural transformation

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A Phenomenological Constitutive Model for Pseudoelastic Shape Memory Alloy (의탄성 형상기억합금에 대한 현상학적 구성모델)

  • Ho, Kwang-Soo
    • Transactions of Materials Processing
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    • v.19 no.8
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    • pp.468-473
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    • 2010
  • Shape memory alloys (SMAs) have the ability to recover their original shape upon thermo-mechanical loading even after large inelastic deformation. The unique feature is known as pseudoelasticity and shape memory effect caused by the crystalline structural transformation between two solid-state phases called austenite and martensite. To support the engineering application, a number of constitutive models, which can be formally classified into either micromechanics-based or phenomenological model, have been developed. Most of the constitutive models include a kinetic law governing the crystallographic transformation. The present work presents a one-dimensional, phenomenological constitutive model for SMAs in the context of the unified viscoplasticity theory. The proposed model does not incorporate the complex mechanisms of phase transformation. Instead, the effects induced by the transformation are depicted through the growth law for the back stress that is an internal state variable of the model.

Buckling of fully and partially embedded non-prismatic columns using differential quadrature and differential transformation methods

  • Rajasekaran, S.
    • Structural Engineering and Mechanics
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    • v.28 no.2
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    • pp.221-238
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    • 2008
  • Numerical solution to buckling analysis of beams and columns are obtained by the method of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for various support conditions considering the variation of flexural rigidity. The solution technique is applied to find the buckling load of fully or partially embedded columns such as piles. A simple semi- inverse method of DQ or HDQ is proposed for determining the flexural rigidities at various sections of non-prismatic column ( pile) partially and fully embedded given the buckling load, buckled shape and sub-grade reaction of the soil. The obtained results are compared with the existing solutions available from other numerical methods and analytical results. In addition, this paper also uses a recently developed technique, known as the differential transformation (DT) to determine the critical buckling load of fully or partially supported heavy prismatic piles as well as fully supported non-prismatic piles. In solving the problem, governing differential equation is converted to algebraic equations using differential transformation methods (DT) which must be solved together with applied boundary conditions. The symbolic programming package, Mathematica is ideally suitable to solve such recursive equations by considering fairly large number of terms.

Power series solution of circular membrane under uniformly distributed loads: investigation into Hencky transformation

  • Sun, Jun-Yi;Rong, Yang;He, Xiao-Ting;Gao, Xiao-Wei;Zheng, Zhou-Lian
    • Structural Engineering and Mechanics
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    • v.45 no.5
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    • pp.631-641
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    • 2013
  • In this paper, the problem of axisymmetric deformation of the circular membrane fixed at its perimeter under the action of uniformly-distributed loads was resolved by exactly using power series method, and the solution of the problem was presented. An investigation into the so-called Hencky transformation was carried out, based on the solution presented here. The results obtained here indicate that the well-known Hencky solution is, without doubt, correct, but in the published papers the statement about its derivation is incorrect, and the so-called Hencky transformation is invalid and hence may not be extended to use as a general mathematical method.

Convergence studies on static and dynamic analysis of beams by using the U-transformation method and finite difference method

  • Yang, Y.;Cai, M.;Liu, J.K.
    • Structural Engineering and Mechanics
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    • v.31 no.4
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    • pp.383-392
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    • 2009
  • The static and dynamic analyses of simply supported beams are studied by using the U-transformation method and the finite difference method. When the beam is divided into the mesh of equal elements, the mesh may be treated as a periodic structure. After an equivalent cyclic periodic system is established, the difference governing equation for such an equivalent system can be uncoupled by applying the U-transformation. Therefore, a set of single-degree-of-freedom equations is formed. These equations can be used to obtain exact analytical solutions of the deflections, bending moments, buckling loads, natural frequencies and dynamic responses of the beam subjected to particular loads or excitations. When the number of elements approaches to infinity, the exact error expression and the exact convergence rates of the difference solutions are obtained. These exact results cannot be easily derived if other methods are used instead.

A Study on the Prediction Modeling of Phase Transformation in the CGHAZ of Structural Steel Weld (구조용강 용접부 CGHAZ의 상변태 예측 Modeling에 관한 연구)

  • 조일영;이경종;이창희
    • Journal of Welding and Joining
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    • v.16 no.3
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    • pp.74-84
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    • 1998
  • The microstructures of the HAZ (Heat Affected Zone) are generally different from the base metal due to rapid thermal cycle during welding process. Particuraly, CGHAZ (Coarsened Grain Heat Affected Zone) near the fusion line is the most concerned region in which many metallurgical and mechanical discontinuities have been normally generated. A computer program by the numerical formularization of phase transformation during cooling with different rates was developed to generate the CCT diagram, and to predict microstructural (phase) changes in the CGHAZ. In order to verify simulated results, isothermal and continuous cooling transformation experiments were conducted. The simulated and experimental results showed that the developed computer model could successfully predict the room temperature microstructural changes (changes in volume fraction of phases) under various welding conditions (heat input & cooling rate $(Δt_{8/5})$).

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System Realization by Using Inverse Discrete Fourier Transformation for Structural Dynamic Models

  • Kim, Hyeung Y.;W. B. Hwang
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.289-294
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    • 1998
  • The distributed-parameter structures expressed with the partial differential equations are considered as the infinite-dimensional dynamic system. For implementation of a controller in multivariate systems, it is necessary to derive the state-space reduced order model. By the eigensystem realization algorithm, we can yield tile subspace system with the Markov parameters derived from the measured frequency response function by the inverse discrete Fourier transformation. We also review the necessary conditions for the convergence of the approximation system and the error bounds in terms of the singular values of Markov-parameter matrices. To determine the natural frequencies and modal damping ratios, the modal coordinate transformation is applied to the realization system. The vibration test for a smart structure is performed to provide the records of frequency response functions used in the subspace system realization.

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The Spatial and Structural Eclectic Modes of the Korean-Western Eclectic Houses at Ojeong-dong Missionary Village (오정동 선교사촌 한양절충 주택의 공간적.구조적 절충방식 연구)

  • Seo, Ho-Seok;Kim, Kyeoung-Soo;Han, Pil-Won
    • Journal of architectural history
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    • v.19 no.4
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    • pp.91-108
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    • 2010
  • The objective of this paper is to clarify the architectural characteristics of the Korean-Western eclectic houses at Ojeong-dong Missionary Village in Daejeon city, focused on the spatial and structural changes due to eclecticism. The consequences of the comparative analysis between the eclectic houses and two reference buildings, Myeongjae residence and Moore house, are as follows. The diverse aspects due to eclecticism can be summarized as two concepts; transformation and simplification. The transformation has appeared in the characteristic spatial elements such as an-madang, entrance and corridor, in the territory organization and the connection between building and yard, and in the roof and wall structures. The simplification has appeared in the layering of the building space, and in the joint of roof and wall. The methods of eclecticism and the resultant aspects from them that are clarified through this study are expected to be referred in examining the new possibilities of the hanok.

Reanalysis for Correlating and Updating Dynamic Systems Using Frequency Response Functions (FRF를 이용한 동적 구조 시스템의 구조추정 및 재해석)

  • 한경봉;박선규
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.49-56
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    • 2004
  • Model updating is a very active research field, in which significant efforts has been invested in recent years. Model updating methodologies are invariably successful when used on noise-free simulated data, but tend to be unpredictable when presented with real experimental data that are-unavoidably-corrupted with uncorrected noise content. In this paper, Reanalysis using frequency response functions for correlating and updating dynamic systems is presented. A transformation matrix is obtained from the relationship between the complex and the normal frequency response functions of a structure. The transformation matrix is employed to calculate the modified damping matrix of the system. The modified mass and stiffness matrices are identified from the normal frequency response functions by using the least squares method. One simulated system is employed to illustrate the applicability of the proposed method. The result indicate that the damping matrix of correlated finite element model can be identified accurately by the proposed method. In addition, the robustness of the new approach uniformly distributed measurement noise Is also addressed.

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Transient Characteristics Analysis of Structural Systems Undergoing Impact Employing Hilbert-Huang Transformation (힐버트 황 변환을 이용한 충격을 받는 시스템의 과도특성 분석)

  • Lee, Seung-Kyu;Yoo, Hong-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.12
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    • pp.1442-1448
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    • 2009
  • Transient characteristics of a signal can be effectively exhibited in time-frequency domain. Hilbert-Huang Transform (HHT) is one of the time-frequency domain analysis methods. HHT is known for its several advantages over other signal analysis methods. The capability of analyzing non-stationary or nonlinear characteristics of a signal is the primary advantage of HHT. Moreover, it is known that HHT can provide fine resolution in high frequency region and handle large size data efficiently. In this study, the effectiveness of Hilbert-Huang transform is illustrated by employing structural systems undergoing impact. A simple discrete system and an axially oscillating cantilever beam undertaking periodic impulsive force are chosen to show the effectiveness of HHT.

Analysis of Hardenability for Carbon Steel using Finite Element Method(II) (유한요소법을 이용한 탄소강의 경화능해석(II))

  • Kim, O.S.
    • Journal of Power System Engineering
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    • v.3 no.3
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    • pp.76-82
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    • 1999
  • This study presents a methodology to predict the hardenability of quenched carbon steels. The equation of transient heat conduction is analyzed to formulate a cooling curve by a finite element method which incorperates coupled effects of temperature on physical properties, the metallic structures and also the latent heat by phase transformation. The volume traction of martensite and pearlite are the structural analysis for hardenability analysis. In order to demonstrate the feasibility of adopting a full quench model respectively. This procedure could be used as the database for optimal condition of heat treatment processes.

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