• 제목/요약/키워드: Quasi-analytical

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구조물의 피로강도평가를 위한 역문제 및 무기력계수에 의한 실동하중해석 (The Estimation of Fatigue Strength of Structure with Practical Dynamic Force by Inverse Problem and Lethargy Coefficient)

  • 양성모;송준혁;강희용;노홍길
    • 한국자동차공학회논문집
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    • 제12권1호
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    • pp.106-113
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    • 2004
  • Most of mechanical structures are composed of many substructures connected to one another by various types of mechanical joints. In automotive engineering, it is important to study these connected structures under various dynamic forces for the evaluations of fatigue life and stress concentration exactly. In this study, the dynamic response of vehicle structure to external forces is classified an inverse problem involving strains from the experiment and the analysis. The practical dynamic forces are determined by the combination of the analytical and experimental method with analyzed strain by quasi-static finite element analysis under unit force and with measured strain by a strain gage under driving load, respectively. In a stressed body, inter-molecular chemical bonds are failed beyond the certain magnitude. The failure of molecular structure in material is considered as a time process of which rate is determined by mechanical stress. That is, the failure of inter-molecular chemical bonds is the fatigue lift of material. This kinetic concept is expressed as lethargy coefficient. And S-N curve is obtained with the lethargy coefficient from quasi-static tensile test. Equivalent practical dynamic force is obtained from the identification of practical dynamic force for one loading point. Using the practical dynamic force and S-N curve, fatigue life of a window pillar is analyzed with FEM under the identified force by the procedure of above mentioned.

단일 마그네슘 입자 연소 지배인자의 민감도 해석 (Parametric Studies on the Sensitivity of Single Isolated Aluminum Particle Combustion Modeling)

  • 이상협;고태호;윤웅섭;양희성
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2011년도 제36회 춘계학술대회논문집
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    • pp.341-350
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    • 2011
  • 마이크로 크기의 단일 마그네슘 입자의 연소 해석을 위해 간단하면서도 점화와 연소과정 전체를 모사한 모델을 사용하여 각각의 주요 파라메터별 영향을 도출하는 연구를 수행하였다. 계산에 사용된 모델은 액적 연소의 경우와 유사하게 보존 및 이송 방정식들을 사용하여 모사되었으며 입자의 온도가 1200 K에 도달하면 점화단계를 종료하고 준정상연소 단계로 전환되었다. 선행 연구를 참고하여 주요 파라메터를 선정하였으며 주요 파라메터로는 초기 입자크기, 대류 열전달의 유무, 외기 온도, 압력 등이 선정되었고, 간단한 열역학적 모델임에도 불구하고 정량적으로 실험 데이터와 유사하게 각각의 파라메터의 영향을 평가할 수 있음을 확인하였다.

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Thermomechanical bending study for functionally graded sandwich plates using a simple quasi-3D shear deformation theory

  • Zarga, Djaloul;Tounsi, Abdelouahed;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Mahmoud, S.R.
    • Steel and Composite Structures
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    • 제32권3호
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    • pp.389-410
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    • 2019
  • In this article, a simple quasi-3D shear deformation theory is employed for thermo-mechanical bending analysis of functionally graded material (FGM) sandwich plates. The displacement field is defined using only 5 variables as the first order shear deformation theory (FSDT). Unlike the other high order shear deformation theories (HSDTs), the present formulation considers a new kinematic which includes undetermined integral variables. The governing equations are determined based on the principle of virtual work and then they are solved via Navier method. Analytical solutions are proposed to provide the deflections and stresses of simply supported FGM sandwich structures. Comparative examples are presented to demonstrate the accuracy of the present theory. The effects of gradient index, geometrical parameters and thermal load on thermo-mechanical bending response of the FG sandwich plates are examined.

Assessment of new 2D and quasi-3D nonlocal theories for free vibration analysis of size-dependent functionally graded (FG) nanoplates

  • Bendaho, Boudjema;Belabed, Zakaria;Bourada, Mohamed;Benatta, Mohamed Atif;Bourada, Fouad;Tounsi, Abdelouahed
    • Advances in nano research
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    • 제7권4호
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    • pp.277-292
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    • 2019
  • In this present paper, a new two dimensional (2D) and quasi three dimensional (quasi-3D) nonlocal shear deformation theories are formulated for free vibration analysis of size-dependent functionally graded (FG) nanoplates. The developed theories is based on new description of displacement field which includes undetermined integral terms, the issues in using this new proposition are to reduce the number of unknowns and governing equations and exploring the effects of both thickness stretching and size-dependency on free vibration analysis of functionally graded (FG) nanoplates. The nonlocal elasticity theory of Eringen is adopted to study the size effects of FG nanoplates. Governing equations are derived from Hamilton's principle. By using Navier's method, analytical solutions for free vibration analysis are obtained through the results of eigenvalue problem. Several numerical examples are presented and compared with those predicted by other theories, to demonstrate the accuracy and efficiency of developed theories and to investigate the size effects on predicting fundamental frequencies of size-dependent functionally graded (FG) nanoplates.

Novel four-unknowns quasi 3D theory for bending, buckling and free vibration of functionally graded carbon nanotubes reinforced composite laminated nanoplates

  • Khadir, Adnan I.;Daikh, Ahmed Amine;Eltaher, Mohamed A.
    • Advances in nano research
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    • 제11권6호
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    • pp.621-640
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    • 2021
  • Effect of thickness stretching on mechanical behavior of functionally graded (FG) carbon nanotubes reinforced composite (CNTRC) laminated nanoplates resting on elastic foundation is analyzed in this paper using a novel quasi 3D higher-order shear deformation theory. The key feature of this theoretical formulation is that, in addition to considering the thickness stretching effect, the number of unknowns of the displacement field is reduced to four, and which is more than five in the other models. Single-walled carbon nanotubes (SWCNTs) are the reinforced elements and are distributed with four power-law functions which are, uniform distribution, V-distribution, O-distribution and X-distribution. To cover various boundary conditions, an analytical solution is developed based on Galerkin method to solve the governing equilibrium equations by considering the nonlocal strain gradient theory. A modified two-dimensional variable Winkler elastic foundation is proposed in this study for the first time. A parametric study is executed to determine the influence of the reinforcement patterns, power-law index, nonlocal parameter, length scale parameter, thickness and aspect ratios, elastic foundation, thermal environments, and various boundary conditions on stresses, displacements, buckling loads and frequencies of the CNTRC laminated nanoplate.

A new quasi-3D plate theory for free vibration analysis of advanced composite nanoplates

  • Smain, Bezzina;Aicha, Bessaim;Mohammed Sid Ahmed, Houari;Marc, Azab
    • Steel and Composite Structures
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    • 제45권6호
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    • pp.839-850
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    • 2022
  • This paper presents an analytical solution to study the combined effect of non-local and stretching effect on the vibration of advanced functionally graded (FG) nanoplates. A new quasi-3D plate theory is presented; there are only five unknowns and any shear correction factor is used. A new displacement field with a new shear warping function is proposed. The equilibrium equations of the FG nanoplates are obtained using the Hamilton principle and solved numerically using the Navier technique. The material properties of functionally graded nanoplates are presumed to change according to the power-law distribution of ceramic and metal constituents. The numerical results of this work are compared with those of other published results to indicate the accuracy and convergence of this theory. Hence, a profound parameterstudy is also performed to show the influence of many parameters of the functionally graded nanoplates on the free vibration responses is investigated.

Novel quasi 3D theory for mechanical responses of FG-CNTs reinforced composite nanoplates

  • Alazwari, Mashhour A.;Daikh, Ahmed Amine;Eltaher, Mohamed A.
    • Advances in nano research
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    • 제12권2호
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    • pp.117-137
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    • 2022
  • Effect of thickness stretching on free vibration, bending and buckling behavior of carbon nanotubes reinforced composite (CNTRC) laminated nanoplates rested on new variable elastic foundation is investigated in this paper using a developed four-unknown quasi-3D higher-order shear deformation theory (HSDT). The key feature of this theoretical formulation is that, in addition to considering the thickness stretching effect, the number of unknowns of the displacement field is reduced to four, and which is more than five in the other models. Two new forms of CNTs reinforcement distribution are proposed and analyzed based on cosine functions. By considering the higher-order nonlocal strain gradient theory, microstructure and length scale influences are included. Variational method is developed to derive the governing equation and Galerkin method is employed to derive an analytical solution of governing equilibrium equations. Two-dimensional variable Winkler elastic foundation is suggested in this study for the first time. A parametric study is executed to determine the impact of the reinforcement patterns, nonlocal parameter, length scale parameter, side-t-thickness ratio and aspect ratio, elastic foundation and various boundary conditions on bending, buckling and free vibration responses of the CNTRC plate.

Impact of porosity distribution on static behavior of functionally graded plates using a simple quasi-3D HSDT

  • Farouk Yahia Addou;Fouad Bourada;Mustapha Meradjah;Abdelmoumen Anis Bousahla;Abdelouahed Tounsi;Mofareh Hassan Ghazwani;Ali Alnujaie
    • Computers and Concrete
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    • 제32권1호
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    • pp.87-97
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    • 2023
  • The bending of a porous FG plate is discussed in this study using a novel higher quasi-3D hyperbolic shear deformation theory with four unknowns. The proposed theory takes into consideration the normal and transverse shear deformation effect and ensures the parabolic distribution of the transverse stresses through the thickness direction with zero-traction at the top and the bottom surfaces of the structure. Innovative porous functionally graded materials (FGM) have through-thickness porosity as a unique attribute that gradually varies with their qualities. An analytical solution of the static response of the perfect and imperfect FG plate was derived based on the virtual work principle and solved using Navier's procedure. The validity and the efficiency of the current model is confirmed by comparing the results with those obtained by others solutions. The comparisons showed that the present model is very efficient and simple in terms of computation time and exactness. The impact of the porosity parameter, aspect ratio, and thickness ratio on the bending of porous FG plate is shown through a discussion of several numerical results.

미국 규격에 따른 전두부 충돌에너지 흡수 요구조건의 해석적 평가 (A Study on the Energy Absorption Capacity of Collision and Corner Posts of EMU according to APTA SS-C&S-034-99 Standard)

  • 정지호;이장욱;박근수;우관제
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2011년도 춘계학술대회 논문집
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    • pp.289-294
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    • 2011
  • The purpose of this paper is to validate energy absorbing capacity that satisfies APTA SS-C&S-034-99, REV.2 with North America type Electric Multiple Units. The FE models for collision and corner post simulation were developed. Two type of simulation were conducted. One is quasi-static analysis for collision post and the other is quasi-static analysis for corner post. And the energy absorption capacity of the analytical model was verified.

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물량저감 철근상세를 갖는 중공 철근콘크리트 교각 시스템: I. 개발 및 검증 (Hollow Reinforced Concrete Bridge Column Systems with Reinforcement Details for Material Quantity Reduction: I. Development and Verification)

  • 김태훈;이재훈;신현목
    • 한국지진공학회논문집
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    • 제18권1호
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    • pp.1-8
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    • 2014
  • The purpose of this study was to investigate the performance of hollow reinforced concrete bridge column systems with reinforcement details for material quantity reduction. The proposed reinforcement details have economic feasibility and rationality and make construction periods shorter. A model of hollow reinforced concrete bridge columns was tested under a constant axial load and a quasi-static cyclically reversed horizontal load. As a result, proposed reinforcement details for material quantity reduction were equal to existing reinforcement details in terms of required performance. The companion paper presents the experimental and analytical study for the performance assessment of hollow reinforced concrete bridge column systems with reinforcement details for material quantity reduction.