• Title/Summary/Keyword: Nonlinear material function

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Stochastic thermo-mechanically induced post buckling response of elastically supported nanotube-reinforced composite beam

  • Chaudhari, Virendra Kumar;Shegokar, Niranjan L.;Lal, Achchhe
    • Advances in aircraft and spacecraft science
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    • v.4 no.5
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    • pp.585-611
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    • 2017
  • This article covenants with the post buckling witticism of carbon nanotube reinforced composite (CNTRC) beam supported with an elastic foundation in thermal atmospheres with arbitrary assumed random system properties. The arbitrary assumed random system properties are be modeled as uncorrelated Gaussian random input variables. Unvaryingly distributed (UD) and functionally graded (FG) distributions of the carbon nanotube are deliberated. The material belongings of CNTRC beam are presumed to be graded in the beam depth way and appraised through a micromechanical exemplary. The basic equations of a CNTRC beam are imitative constructed on a higher order shear deformation beam (HSDT) theory with von-Karman type nonlinearity. The beam is supported by two parameters Pasternak elastic foundation with Winkler cubic nonlinearity. The thermal dominance is involved in the material properties of CNTRC beam is foreseen to be temperature dependent (TD). The first and second order perturbation method (SOPT) and Monte Carlo sampling (MCS) by way of CO nonlinear finite element method (FEM) through direct iterative way are offered to observe the mean, coefficient of variation (COV) and probability distribution function (PDF) of critical post buckling load. Archetypal outcomes are presented for the volume fraction of CNTRC, slenderness ratios, boundary conditions, underpinning parameters, amplitude ratios, temperature reliant and sovereign random material properties with arbitrary system properties. The present defined tactic is corroborated with the results available in the literature and by employing MCS.

FGM micro-gripper under electrostatic and intermolecular Van-der Waals forces using modified couple stress theory

  • Jahangiri, Reza;Jahangiri, Hadi;Khezerloo, Hamed
    • Steel and Composite Structures
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    • v.18 no.6
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    • pp.1541-1555
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    • 2015
  • In this paper mechanical behavior of the functional gradient materials (FGM) micro-gripper under thermal load and DC voltage is numerically investigated taking into account the effect of intermolecular forces. In contrary to the similar previous works, which have been conducted for homogenous material, here, the FGM material has been implemented. It is assumed that the FGM micro-gripper is made of metal and ceramic and that material properties are changed continuously along the beam thickness according to a given function. The nonlinear governing equations of the static and dynamic deflection of microbeams have been derived using the coupled stress theory. The equations have been solved using the Galerkin based step-by-step linearization method (SSLM). The solution procedure has been evaluated against available data of literature showing good agreement. A parametric study has been conducted, focusing on the combined effects of important parameters included DC voltage, temperature variation, geometrical dimensions and ceramic volume concentration on the dynamic response and stability of the FGM micro-gripper.

Optimal Dispersion Condition to Distinguish OPD Directions of Spectrally-Resolved Interferometry (방향 판별 분산간섭계의 최적 분산 조건 연구)

  • Yun, Young Ho;Kim, Dae Hee;Joo, Ki-Nam
    • Journal of the Korean Society for Precision Engineering
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    • v.34 no.4
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    • pp.259-264
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    • 2017
  • Spectrally resolved interferometry (SRI) is an attractive technique to measure absolute distances without any moving components. In the spectral interferogram obtained by a spectrometer, the optical path difference (OPD) can simply be extracted from the linear slope of the spectral phase. However, SRI has a fundamental measuring range limitation due to maximum and minimum measurable distances. In addition, SRI cannot distinguish the OPD direction because the spectral interferogram is in the form of a natural sinusoidal function. In this investigation, we describe a direction determining SRI and propose the optimal conditions for determining OPD direction. Spectral phase nonlinearity, caused by a dispersive material, effects OPD direction but deteriorates spectral interferogram visibility. In the experiment, various phase nonlinearities were measured by adjusting the dispersive material (BK7) thickness. We observed the interferogram visibility and the possibility of direction determination. Based on the experimental results, the optimal dispersion conditions are provided to distinguish OPD directions of SRI.

Level Set Based Topological Shape Optimization of Hyper-elastic Nonlinear Structures using Topological Derivatives (위상 민감도를 이용한 초탄성 비선형 구조의 레벨셋 기반 위상 및 형상 최적설계)

  • Kim, Min-Geun;Ha, Seung-Hyun;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.6
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    • pp.559-567
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    • 2012
  • A level set based topological shape optimization method for nonlinear structure considering hyper-elastic problems is developed. To relieve significant convergence difficulty in topology optimization of nonlinear structure due to inaccurate tangent stiffness which comes from material penalization of whole domain, explicit boundary for exact tangent stiffness is used by taking advantage of level set function for arbitrary boundary shape. For given arbitrary boundary which is represented by level set function, a Delaunay triangulation scheme is used for current structure discretization instead of using implicit fixed grid. The required velocity field in the actual domain to update the level set equation is determined from the descent direction of Lagrangian derived from optimality conditions. The velocity field outside the actual domain is determined through a velocity extension scheme based on the method suggested by Adalsteinsson and Sethian(1999). The topological derivatives are incorporated into the level set based framework to enable to create holes whenever and wherever necessary during the optimization.

A semi-analytical mesh-free method for 3D free vibration analysis of bi-directional FGP circular structures subjected to temperature variation

  • Shamshirsaz, Mahnaz;Sharafi, Shahin;Rahmatian, Javad;Rahmatian, Sajad;Sepehry, Naserodin
    • Structural Engineering and Mechanics
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    • v.73 no.4
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    • pp.407-426
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    • 2020
  • In this present paper, a semi-analytical mesh-free method is employed for the three-dimensional free vibration analysis of a bi-directional functionally graded piezoelectric circular structure. The dependent variables have been expanded by Fourier series with respect to the circumferential direction and have been discretized through radial and axial directions based on the mesh-free shape function. The current approach has a distinct advantage. The nonlinear Green-Lagrange strain is employed as the relationship between strain and displacement fields to observe thermal impacts in stiffness matrices. Nevertheless, high order terms have been neglected at the final steps of equations driving. The material properties are assumed to vary continuously in both radial and axial directions simultaneously in accordance with a power law distribution. The convergence and validation studies are conducted by comparing our proposed solution with available published results to investigate the accuracy and efficiency of our approach. After the validation study, a parametric study is undertaken to investigate the temperature effects, different types of polarization, mechanical and electric boundary conditions and geometry parameters of structures on the natural frequencies of functionally graded piezoelectric circular structures.

Study on Temperature-Dependent Mechanical Properties of Chloroprene Rubber for Finite Element Analysis of Rubber Seal in an Automatic Mooring System (자동계류시스템 고무 씰 유한요소해석을 위한 고무 소재의 온도별 기계적 특성 연구)

  • Son, Yeonhong;Kim, Myung-Sung;Jang, Hwasup;Kim, Songkil;Kim, Yongjin
    • Journal of the Society of Naval Architects of Korea
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    • v.59 no.3
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    • pp.157-163
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    • 2022
  • An automatic mooring system for a ship consists of a vacuum suction pad and a mechanical part, enabling quick and safe mooring of a ship. In the development of a mooring system, the design of a vacuum suction pad is a key to secure enough mooring forces and achieve stable operation of a mooring system. In the vacuum suction pad, properly designing its rubber seal determines the performance of the suction pad. Therefore, it is necessary to appropriately design the rubber seal for maintaining a high-vacuum condition inside the pad as well as achieving its mechanical robustness for long-time use. Finite element analysis for the design of the rubber seal requires the use of an appropriate strain energy function model to accurately simulate mechanical behavior of the rubber seal material. In this study, we conducted simple uniaxial tensile testing of Chloroprene Rubber (CR) to explore the strain energy function model best-fitted to its experimentally measured engineering strain-stress curves depending on various temperature environments. This study elucidates the temperature-dependent mechanical behaviors of CR and will be foundational to design rubber seal for an automatic mooring system under various temperature conditions.

An Optimum Design of Sandwich Panel at Fixed Edges (고정지지된 Sandwich Panel의 최적설계에 관한 연구)

  • K.S. Kim;I.T. Kim;Y.Y. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.2
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    • pp.115-122
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    • 1992
  • A sandwich element is a special Hybrid structural form of the composite construction, which is consisted of three main parts : thin, stiff and relatively high density faces separated by a thick, light, and weaker core material. In a sandwich construction, the shear deformation of the faces. Therefore, in the calculation of the bending stiffness, the shear effect should be included. In this paper, the minimum weight is selected as an object function, as the weight critical structures are usually composed of these kind of construction. To obtain the minimum weight of sandwich panel, the principle of minimum potential energy is used and as for the design constraints, the allowable bending stress of face material, the allowable shear stress of core material, the allowable value of panel deflection and the wrinkling stress of faces are adopted, as well as the different boundary conditions. For the engineering purpose of sandwich panel design, the results are tabulated, which are calculated by using the nonlinear optimization technique SUMT.

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Theoretical buckling analysis of inhomogeneous plates under various thermal gradients and boundary conditions

  • Laid Lekouara;Belgacem Mamen;Abdelhakim Bouhadra;Abderahmane Menasria;Kouider Halim Benrahou;Abdelouahed Tounsi;Mohammed A. Al-Osta
    • Structural Engineering and Mechanics
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    • v.86 no.4
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    • pp.443-459
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    • 2023
  • This study investigates the theoretical thermal buckling analyses of thick porous rectangular functionally graded (FG) plates with different geometrical boundary conditions resting on a Winkler-Pasternak elastic foundation using a new higher-order shear deformation theory (HSDT). This new theory has only four unknowns and involves indeterminate integral variables in which no shear correction factor is required. The variation of material properties across the plate's thickness is considered continuous and varied following a simple power law as a function of volume fractions of the constituents. The effect of porosity with two different types of distribution is also included. The current formulation considers the Von Karman nonlinearity, and the stability equations are developed using the virtual works principle. The thermal gradients are involved and assumed to change across the FG plate's thickness according to nonlinear, linear, and uniform distributions. The accuracy of the newly proposed theory has been validated by comparing the present results with the results obtained from the previously published theories. The effects of porosity, boundary conditions, foundation parameters, power index, plate aspect ratio, and side-to-thickness ratio on the critical buckling temperature are studied and discussed in detail.

Predicting strength development of RMSM using ultrasonic pulse velocity and artificial neural network

  • Sheen, Nain Y.;Huang, Jeng L.;Le, Hien D.
    • Computers and Concrete
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    • v.12 no.6
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    • pp.785-802
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    • 2013
  • Ready-mixed soil material, known as a kind of controlled low-strength material, is a new way of soil cement combination. It can be used as backfill materials. In this paper, artificial neural network and nonlinear regression approach were applied to predict the compressive strength of ready-mixed soil material containing Portland cement, slag, sand, and soil in mixture. The data used for analyzing were obtained from our testing program. In the experiment, we carried out a mix design with three proportions of sand to soil (e.g., 6:4, 5:5, and 4:6). In addition, blast furnace slag partially replaced cement to improve workability, whereas the water-to-binder ratio was fixed. Testing was conducted on samples to estimate its engineering properties as per ASTM such as flowability, strength, and pulse velocity. Based on testing data, the empirical pulse velocity-strength correlation was established by regression method. Next, three topologies of neural network were developed to predict the strength, namely ANN-I, ANN-II, and ANN-III. The first two models are back-propagation feed-forward networks, and the other one is radial basis neural network. The results show that the compressive strength of ready-mixed soil material can be well-predicted from neural networks. Among all currently proposed neural network models, the ANN-I gives the best prediction because it is closest to the actual strength. Moreover, considering combination of pulse velocity and other factors, viz. curing time, and material contents in mixture, the proposed neural networks offer better evaluation than interpolated from pulse velocity only.

One-dimensional Consolidation Analysis by Estimation of Nonlinear Consolidation Coefficient (비선형 압밀계수 산정에 의한 일차원 압밀해석)

  • Lee, Song;Jeon, Je-Sung
    • Journal of the Korean Geotechnical Society
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    • v.16 no.2
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    • pp.103-113
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    • 2000
  • 기존의 Terzaghi 압밀이론은 상대적으로 연약토층이 두껍지 않고, 초기함수비가 낮으며 적은 유효응력의 증가가 예상되는 곳에 그 적용이 제한되어 있었다. 그 이유는 Therzaghi 압미이론 자체가 미소변형률과 선형적인 압축성 및 투수성등을 기본적인 가정사항으로 내포하고 있기 때문이다. 이러한 가정사항을 극복하고자 Gibson et al. 은 일차원 비선형 유한 변형률 압밀이론에 관한 엄밀해를 제시하였다. 이 이론은 기존의 많은 가정사항들을 극복하여 실제 현상에 더욱 부합하는 예측을 할 수 있는 장점이 있는 반면, 비선형적인 응력-변형 관계, 변형-투수계수 관계의 도입과 좌표변환 및 현장의 시고이력을 그대로 적용하는데 많은 어려움이 있는 것이 사실이다. 본 연구에서는 이러한 비선형 유한형태를 압밀이론을 이용한 압밀현상 예측을 위하여, 비선형적인 응력-변형 관계, 변형-투수계수 관계에 관한 함수식을 구성하고 이를 포함하는 컴퓨터 프로그램을 개발하였다. 개발 프로그램은 많은 폼과 모듈로 구성되어 있는데, 이러한 각각의 폼과 모듈은 GUI 기능의 극대화를 통해 복잡한 이론에 익숙하지 않은 실무자들이 쉽게 본 이론을 이용할 수 있도록 설계 되었다. 또한 개발프로그램은 다양한 하중단계 및 비선형적인 응력-변형 관계, 변형-투수계수 관계에 관한 회귀분석, 각 유효응력 단계별 상이한 비선형 계수 g와 λ를 적용할 수 있으며, 계산을 위한 전처리과정은 물론 계산된 결과를 위한 다양한 후처리과정이 모두 사용자 위주의 GUI 기능을 충분히 갖도록 설계되었다. 개발 프로그램의 검증을 위하여 실제 현장의 계측자료 및 기존 연구문헌상의 결과와 본 개발 프로그램의 예측결과를 비교.분석하였으며, 다양한 간극비 상태의 비선형 계수가 해석결과에 미치는 영향을 알아보았다.

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