• Title/Summary/Keyword: deformation dependent

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A Review on Lateral Driving Boundary of the Numerical Model Using Time-Dependent Mild Slope Equation (시간의존 완경사방정식을 이용한 파랑변형 수치모형의 측방입사경계의 처리)

  • 김인철;편종근
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.7 no.2
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    • pp.141-147
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    • 1995
  • Various numerical models for predicting wave deformation have been proposed. Among them a time-dependent mild-slope equation based on the line discharges and surface-elevation changes has been widely used in the wave fields with reflective waves. If applying this model to the case of obliquely-incident waves, not only the open-sea boundary but also one of the lateral boundaries should be treated as incident boundaries. In this study, Maruyama and Kajima (1985), Copeland (1985) and Ohnaka and Watanabe (1987)'s method are reviewed and the characteristics of these methods are analyzed using e normalized wave heights, wave angels and phases obtained from the numerical experiments. It is shown that Ohnaka and Watanabe(1987)'s method provides the most adequate driving boundary is the most suitable in e wave field with a general bottom slope.

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Prediction of Time-dependent Lateral Movement Induced by Differential Shortening in Tall Buildings Using Construction Stage Analysis

  • Ha, Taehun;Kim, Sangdae;Lee, Sungho
    • International Journal of High-Rise Buildings
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    • v.6 no.1
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    • pp.11-19
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    • 2017
  • High-rise buildings move during construction due to time-dependent material properties of concrete (creep and shrinkage), construction sequences, and structural shapes. The building movements, including vertical and horizontal displacements, result from the sum of axial and lateral deformation of vertical members at each level. In addition to the vertical shortenings, the lateral movement induced by differential shortening can have adverse effects on the construction tolerance and serviceability of non-structural elements such as elevators and curtain walls. In this study a construction stage analysis method is developed to predict lateral movement induced by shortening, including the effect of creep and shrinkage. The algorithm of construction stage analysis is combined with the FE analysis program. It is then applied to predict lateral movement of a 58-story reinforced concrete building that was constructed in Kuala Lumpur, Malaysia. Gravity induced lateral movement of this building is predicted by the construction stage analysis. A field three-dimensional laser scanning survey is carried out to verify the prediction results, and satisfactory agreement is obtained.

A size-dependent quasi-3D model for wave dispersion analysis of FG nanoplates

  • Karami, Behrouz;Janghorban, Maziar;Shahsavari, Davood;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • v.28 no.1
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    • pp.99-110
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    • 2018
  • In this paper, a new size-dependent quasi-3D plate theory is presented for wave dispersion analysis of functionally graded nanoplates while resting on an elastic foundation and under the hygrothermaal environment. This quasi-3D plate theory considers both thickness stretching influences and shear deformation with the variations of displacements in the thickness direction as a parabolic function. Moreover, the stress-free boundary conditions on both sides of the plate are satisfied without using a shear correction factor. This theory includes five independent unknowns with results in only five governing equations. Size effects are obtained via a higher-order nonlocal strain gradient theory of elasticity. A variational approach is adopted to owning the governing equations employing Hamilton's principle. Solving analytically via Fourier series, these equations gives wave frequencies and phase velocities as a function of wave numbers. The validity of the present results is examined by comparing them with those of the known data in the literature. Parametric studies are conducted for material composition, size dependency, two parametric elastic foundation, temperature and moisture differences, and wave number. Some conclusions are drawn from the parametric studies with respect to the wave characteristics.

Determination of Design Moments in Bridges Constructed by Movable Scaffolding System (MSS공법으로 시공되는 교량의 설계 모멘트 결정)

  • 곽효경;손제국
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.3
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    • pp.317-327
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    • 2001
  • In this paper, a relation to calculate design moments for reinforced concrete(RC) bridges constructed by movable scaffolding system(MSS) is introduced. Through the time-dependent analysis of RC bridges considering the construction sequence, the structural responses related to the member forces and deflections are reviewed, and a governing equation for determination of the design moment, which includes the creep deformation, is derived on the basis of the displacement-force condition at every constructuion stage. By using the relation, the design moment and its variation over time can easily be obtained only with the elastic analysis results without additional time-dependent analysis. In addition, correlation studies with the results by rigorous numerical analyses are conducts to verify the applicability of the introduced relation, and a more reasonable guideline for the determination of design moments is proposed on the basis of the obtained moment envelop.

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Optimal cross-section and configuration design of cyclic loaded elastic-plastic structures

  • Valido, Anibal J.;Sousa, Luis G.;Cardoso, J. Barradas
    • Structural Engineering and Mechanics
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    • v.4 no.1
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    • pp.25-35
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    • 1996
  • This paper describes a continuum variational formulation for design optimization of nonlinear structures in the elastic-plastic domain, where unloading and reloading of the structures are allowed to occur. The Total Lagrangian procedure is used for the description of the structural deformation. The direct differentiation approach is used to derive the sensitivities of the various structural response measures with respect to the design parameters. Since the material goes into the inelastic range and unloading and reloading of the structure are allowed to occur, the structural response is path dependent and an additional step is needed to integrate the constitutive equations. It can be shown, consequently, that design sensitivity analysis is also path-dependent. The theory has been discretized by the finite element technique and implemented in a structural analysis code. Mathematical programming approach is used for the optimization process. Numerical applications on trusses are performed, where cross-sectional areas and nodal point coordinates are treated as design variables. Optimal designs have been obtained and compared by using two different strategies: a two level strategy where the levels are defined accordingly the type of design variables, cross sectional areas or node coordinates, and optimizing simultaneously with respect to both types of design variables.

Thermo-mechanical vibration analysis of temperature-dependent porous FG beams based on Timoshenko beam theory

  • Ebrahimi, Farzad;Jafari, Ali
    • Structural Engineering and Mechanics
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    • v.59 no.2
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    • pp.343-371
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    • 2016
  • In this paper thermo-mechanical vibration analysis of a porous functionally graded (FG) Timoshenko beam in thermal environment with various boundary conditions are performed by employing a semi analytical differential transform method (DTM) and presenting a Navier type solution method for the first time. The temperature-dependent material properties of FG beam are supposed to vary through thickness direction of the constituents according to the power-law distribution which is modified to approximate the material properties with the porosity phases. Also the porous material properties vary through the thickness of the beam with even and uneven distribution. Two types of thermal loadings, namely, uniform and linear temperature rises through thickness direction are considered. Derivation of equations is based on the Timoshenko beam theory in order to consider the effect of both shear deformation and rotary inertia. Hamilton's principle is applied to obtain the governing differential equation of motion and boundary conditions. The detailed mathematical derivations are presented and numerical investigations are performed while the emphasis is placed on investigating the effect of several parameters such as porosity distributions, porosity volume fraction, thermal effect, boundary conditions and power-low exponent on the natural frequencies of the FG beams in detail. It is explicitly shown that the vibration behavior of porous FG beams is significantly influenced by these effects. Numerical results are presented to serve benchmarks for future analyses of FG beams with porosity phases.

Time-Dependent Analysis of Prestress Concrete Bridge Considering Creep and Shrinkage (크리프 및 건조수축을 고려한 PSC 교량의 시간의존해석)

  • Park, Moon-Ho;Park, Soon-Eung;Kim, Jin-Kyu;Park, Jung-Hwal;Kim, Bok-Nam;Lee, Seung-Yup
    • Journal of the Korean Society of Industry Convergence
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    • v.13 no.3
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    • pp.125-131
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    • 2010
  • This study is to give more accurate information by performing the time depend ent analysis to take into account the long-term losses of precast PSC concrete bridge and analyzing the second stress, final camber and cross section stress of precast PSC caused by creep and drying shrinkage. As time goes by, the stress and deformation in the cross section vary continuously by the influence of creep and drying shrinkage. Due to this, the stress redistribution occurs and the internal force variation also happens along the point on the same cross section and with the passage of time.

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Numerical study of temperature dependent eigenfrequency responses of tilted functionally graded shallow shell structures

  • B, Chandra Mouli;K, Ramji;Kar, Vishesh R;Panda, Subrata K;K, Lalepalli Anil;Pandey, Harsh K
    • Structural Engineering and Mechanics
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    • v.68 no.5
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    • pp.527-536
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    • 2018
  • The free vibration frequency responses of the graded flat and curved (cylindrical, spherical, hyperbolic and elliptical) panel structures investigated in this research considering the rectangular and tilted planforms under unlike temperature loading. For the numerical implementation purpose, a micromechanical model is prepared with the help of Voigt's methodology via the power-law type of material model. Additionally, to incur the exact material strength, the temperature-dependent properties of each constituent of the graded structure included due to unlike thermal environment. The deformation kinematics of the rectangular/tilted graded shallow curved panel structural is modeled via higher-order type of polynomial functions. The final form of the eigenvalue equation of the heated structure obtained via Hamilton's principle and simultaneously solved numerically using finite element steps. To show the solution accuracy, a series of comparison the results are compared with the published data. Some new results are exemplified to exhibit the significance of power-law index, shallowness ratio, aspect ratio and thickness ratio on the combined thermal eigen characteristics of the regular and tilted graded panel structure.

Size-dependent vibration and electro-magneto-elastic bending responses of sandwich piezomagnetic curved nanobeams

  • Arefi, Mohammed;Zenkour, Ashraf M.
    • Steel and Composite Structures
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    • v.29 no.5
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    • pp.579-590
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    • 2018
  • Size-dependent free vibration responses and magneto-electro-elastic bending results of a three layers piezomagnetic curved beam rest on Pasternak's foundation are presented in this paper. The governing equations of motion are derived based on first-order shear deformation theory and nonlocal piezo-elasticity theory. The curved beam is containing a nanocore and two piezomagnetic face-sheets. The piezomagnetic layers are imposed to applied electric and magnetic potentials and transverse uniform loadings. The analytical results are presented for simply-supported curved beam to study influence of some parameters on vibration and bending results. The important parameters are spring and shear parameters of foundation, applied electric and magnetic potentials, nonlocal parameter and radius of curvature of curved beam. It is concluded that the increase in radius of curvature tends to an increase in the stiffness of curved beam and consequently natural frequencies increase and bending results decrease. In addition, it is concluded that with increase of nonlocal parameter of curved beam, the stiffness of structure is decreased that leads to decrease of natural frequency and increase of bending results.

Frequency characteristics and sensitivity analysis of a size-dependent laminated nanoshell

  • Dai, Zuocai;Jiang, Zhiyong;Zhang, Liang;Habibi, Mostafa
    • Advances in nano research
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    • v.10 no.2
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    • pp.175-189
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    • 2021
  • In this article, frequency characteristics, and sensitivity analysis of a size-dependent laminated composite cylindrical nanoshell under bi-directional thermal loading using Nonlocal Strain-stress Gradient Theory (NSGT) are presented. The governing equations of the laminated composite cylindrical nanoshell in thermal environment are developed using Hamilton's principle. The thermodynamic equations of the laminated cylindrical nanoshell are obtained using First-order Shear Deformation Theory (FSDT) and Fourier-expansion based Generalized Differential Quadrature element Method (FGDQM) is implemented to solve these equations and obtain natural frequency and critical temperature of the presented model. The novelty of the current study is to consider the effects of bi-directional temperature loading and sensitivity parameter on the critical temperature and frequency characteristics of the laminated composite nanostructure. Apart from semi-numerical solution, a finite element model was presented using the finite element package to simulate the response of the laminated cylindrical shell. The results created from finite element simulation illustrates a close agreement with the semi-numerical method results. Finally, the influences of temperature difference, ply angle, length scale and nonlocal parameters on the critical temperature, sensitivity, and frequency of the laminated composite nanostructure are investigated, in details.