• 제목/요약/키워드: equivalent geometrical model

검색결과 54건 처리시간 0.021초

Application of the Murakami Approach for Prediction of Surface Fatigue of Cemented Carbides

  • Sergejev, Fjodor;Kubarsepp, Jakob;Preis, Irina
    • 한국분말야금학회:학술대회논문집
    • /
    • 한국분말야금학회 2006년도 Extended Abstracts of 2006 POWDER METALLURGY World Congress Part 1
    • /
    • pp.633-634
    • /
    • 2006
  • The aim of present work is to link geometrical parameter of maximum area of structural defect $\sqrt{area}\;_{max}$ (proposed by Y. Murakami, 1983) with surface fatigue mechanisms. Determined relations allow making predictions of surface fatigue properties of cemented carbides (WC-Co hardmetal - H15 - 85wt% WC and 15wt %Co, TiC-based cermets - T60/8 - 60wt %TiC and Fe/8wt% Ni and T70/14 - 70wt %TiC and Fe/14wt% Ni) in conditions of rolling contact and impact cycling loading. Pores considered being equivalent to small defects. Three comparative defects conditions are distinguished: surface pore, just below free surface and interior pores. The Vickers hardness of binder (as main responsible for the fracture mechanism of hardmetal and cermets) assumed to be the basis of such assumption. The estimate of this prediction has been done by analyzing the pore sizes using the statistics of extremes. The lower bound of fatigue properties can be correctly predicted by considering the maximum occurring pore size.

  • PDF

Free and forced analysis of perforated beams

  • Abdelrahman, Alaa A.;Eltaher, Mohamed A.;Kabeel, Abdallah M.;Abdraboh, Azza M.;Hendi, Asmaa A.
    • Steel and Composite Structures
    • /
    • 제31권5호
    • /
    • pp.489-502
    • /
    • 2019
  • This article presents a unified mathematical model to investigate free and forced vibration responses of perforated thin and thick beams. Analytical models of the equivalent geometrical and material characteristics for regularly squared perforated beam are developed. Because of the shear deformation regime increasing in perforated structures, the investigation of dynamical behaviors of these structures becomes more complicated and effects of rotary inertia and shear deformation should be considered. So, both Euler-Bernoulli and Timoshenko beam theories are proposed for thin and short (thick) beams, respectively. Mathematical closed forms for the eigenvalues and the corresponding eigenvectors as well as the forced vibration time response are derived. The validity of the developed analytical procedure is verified by comparing the obtained results with both analytical and numerical analyses and good agreement is detected. Numerical studies are presented to illustrate effects of beam slenderness ratio, filling ratio, as well as the number of holes on the dynamic behavior of perforated beams. The obtained results and concluding remarks are helpful in mechanical design and industrial applications of large devices and small systems (MEMS) based on perforated structure.

On bending analysis of perforated microbeams including the microstructure effects

  • Abdelrahman, Alaa A.;Abd-El-Mottaleb, Hanaa E.;Eltaher, Mohamed A.
    • Structural Engineering and Mechanics
    • /
    • 제76권6호
    • /
    • pp.765-779
    • /
    • 2020
  • This article presents a nonclassical size dependent model based on the modified couple stress theory to study and analyze the bending behavior of perforated microbeams under different loading patterns. Modified equivalent material and geometrical parameters for perforated beam are presented. The modified couple stress theory with one material length scale parameter is adopted to incorporate the microstructure effect into the governing equations of perforated beam structure. The governing equilibrium equations of the perforated Timoshenko as well as the perforated Euler Bernoulli are developed based on the potential energy minimization principle. The Poisson's effect is included in the governing equilibrium equations. Regular square perforation configuration is considered. Based on Fourier series expansion, closed forms for the bending deflection and the rotational displacements are obtained for simply supported perforated microbeams. The proposed methodology is validated and compared with the available results in the literature and an excellent agreement is detected. Numerical results demonstrated the applicability of the proposed methodology to investigate the bending behavior of regularly squared perforated beams incorporating microstructure effect under different excitation patterns. The obtained results are significantly important for the design and production of perforated microbeam structures.

A new refined hyperbolic shear deformation theory for laminated composite spherical shells

  • Kada, Draiche;Abdelouahed, Tounsi
    • Structural Engineering and Mechanics
    • /
    • 제84권6호
    • /
    • pp.707-722
    • /
    • 2022
  • In this study, a new refined hyperbolic shear deformation theory (RHSDT) is developed using an equivalent single-layer shell displacement model for the static bending and free vibration response of cross-ply laminated composite spherical shells. It is based on a new kinematic in which the transverse displacement is approximated as a sum of the bending and shear components, leading to a reduction of the number of unknown functions and governing equations. The proposed theory uses the hyperbolic shape function to account for an appropriate distribution of the transverse shear strains through the thickness and satisfies the boundary conditions on the shell surfaces without requiring any shear correction factors. The shell governing equations for this study are derived in terms of displacement from Hamilton's principle and solved via a Navier-type analytical procedure. The validity and high accuracy of the present theory are ascertained by comparing the obtained numerical results of displacements, stresses, and natural frequencies with their counterparts generated by some higher-order shear deformation theories. Further, a parametric study examines in detail the effect of both geometrical parameters (i.e., side-to-thickness ratio and curvature-radius-to-side ratio), on the bending and free vibration response of simply supported laminated spherical shells, which can be very useful for many modern engineering applications and their optimization design.

Resonance frequency and stability of composite micro/nanoshell via deep neural network trained by adaptive momentum-based approach

  • Yan, Yunrui
    • Geomechanics and Engineering
    • /
    • 제28권5호
    • /
    • pp.477-491
    • /
    • 2022
  • In the present study, the effects of thermal loading on the buckling and resonance frequency of graphene platelets (GPL) reinforced nano-composites are examined. Functionally graded (FG) material properties are considered in thickness direction for the thermal responses of the composite. The equivalent material properties are obtained using Halphin-Tsai nano-mechanical model for composite layers. Moreover, the effects of nano-scale sizes are taken into account, employing functionally modified couple stress (FMCS) parameter. In this regard, for the first time, it is demonstrated that at certain values of GPL weight fraction, thermal buckling occurs. In obtaining results of vibrational behavior, both analytical solution and deep neural network (DNN) methods are used. The DNN method needs low computational costs to predict the resonance behavior. A comprehensive parametric study is conducted to indicate the effects of several geometrical, material, and loading conditions on the vibrational and buckling behavior of cylindrical shell structures made of GPL-nanocomposites. It is shown that the effect of temperature change on the occurrence of buckling is vital while it has a negligible impact on the resonance frequency of the structure. Moreover, the size-dependency of the results is demonstrated, and it cannot be neglected in nano-scales.

New three-layer-type hysteretic damper system and its damping capacity

  • Kim, Hyeong Gook;Yoshitomi, Shinta;Tsuji, Masaaki;Takewaki, Izuru
    • Earthquakes and Structures
    • /
    • 제3권6호
    • /
    • pp.821-838
    • /
    • 2012
  • This paper proposes a new three-layer pillar-type hysteretic damper system for residential houses. The proposed vibration control system has braces, upper and lower frames and a damper unit including hysteretic dampers. The proposed vibration control system supplements the weaknesses of the previously proposed post-tensioning vibration control system in the damping efficiency and cumbersomeness of introducing a post-tension. The structural variables employed in the damper design are the stiffness ratio ${\kappa}$, the ductility ratio ${\mu}_a$, and the ratio ${\beta}$ of the damper's shear force to the maximum resistance. The hysteretic dampers are designed so that they exhibit the targeted damping capacity at a specified response amplitude. Element tests of hysteretic dampers are carried out to examine the mechanical property and to compare its restoring-force characteristic with that of the analytical model. Analytical studies using an equivalent linearization method and time-history response analysis are performed to investigate the damping performance of the proposed vibration control system. Free vibration tests using a full-scale model are conducted in order to verify the damping capacity and reliability of the proposed vibration control system. In this paper, the damping capacity of the proposed system is estimated by the logarithmic decrement method for the response amplitudes. The accuracy of the analytical models is evaluated through the comparison of the test results with those of analytical studies.

PSO를 이용한 주파수 선택 구조 기반 인공 자기 도체 설계 (Design of Frequency Selective Surface Based Artificial Magnetic Conductor Using the Particle Swarm Optimization)

  • 홍익표;이경원;육종관;조창민;전흥재
    • 한국전자파학회논문지
    • /
    • 제21권6호
    • /
    • pp.610-616
    • /
    • 2010
  • 본 논문에서는 주파수 선택 구조를 기반으로 하는 인공 자기 도체 구조를 설계하기 위하여 최적화 알고리즘 중 하나인 particle swarm optimization(PSO) 기법을 이용하였다. 주파수 선택 구조로서 Jerusalem Cross를 갖는 인공 자기 도체의 등가 회로 모델에 PSO를 적용하여, 원하는 공진 주파수 대역을 갖는 최적의 설계값을 얻어낼 수 있음을 확인하였다. 우선 유도한 등가 회로 모델로부터 공진 주파수와 반사 계수 위상 특성을 구하여 상용 소프트웨어로 얻은 값과 일치하는 것을 확인하여 본 논문의 유효함을 확인하였으며, 이로부터 원하는 공진 주파수에 대해 최적화 과정을 통하여 설계 파라미터를 추출하였다. 본 논문에서 유도한 최적화 과정을 이용한 주파수 선택 구조 기반 인공 자기 도체 구조 설계 방법을 이용하여 여러 다른 종류의 주파수 선택 구조 형태를 갖는 인공 자기 도체 구조뿐만 아니라, 인공 자기 도체 구조를 이용한 소형 안테나 접지면 설계 등 마이크로파 회로 설계에 유용하게 사용할 수 있다.

주파수 선택적 투과막이 결합된 복합재료의 잔류응력평가 및 선택적 투과막 설계 (Thermal Residual Stresses in the Frequency Selective Surface Embedded Composite Structures and Design of Frequency Selective Surface)

  • 김가연;전흥재;강경탁;이경원;홍익표;이명건
    • Composites Research
    • /
    • 제24권1호
    • /
    • pp.37-44
    • /
    • 2011
  • 본 연구에서는 최적화 알고리즘 중 하나인 PSO기법을 이용하여 주파수 선택적 표면을 설계하였으며, 설계된 주파수 선택구조를 적용한 하이브리드 레이돔의 잔류응력을 예측하였다. 주파수 선택 구조로서 Square Loop의 등가회로모델에 PSO를 적용하여, K-band(23GHz)에서 차단특성을 갖는 최적의 설계값을 구하였다. 또한 FSS와 복합재료의 하이브리드 레이돔을 제작할 때 발생하는 잔류응력의 효과가 클 경우 구조적 안정성이 떨어질 뿐만 아니라 층간분리가 발생하여 FSS의 전파투과특성에 영향을 미칠 수 있으므로, 하이브리드 레이돔의 제작 시에 동시경화 후 상온으로 냉각되는 과정에서 발생하는 잔류 열응력에 대하여 예측하였으며, FSS패턴과 복합재료의 적층각 변화에 따른 영향을 비교하였다.

Bending analysis of nano-SiO2 reinforced concrete slabs resting on elastic foundation

  • Mohammed, Chatbi;Baghdad, Krour;Mohamed A., Benatta;Zouaoui R., Harrat;Sofiane, Amziane;Mohamed Bachir, Bouiadjra
    • Structural Engineering and Mechanics
    • /
    • 제84권5호
    • /
    • pp.685-697
    • /
    • 2022
  • Nanotechnology has become one of the interesting technique used in material science and engineering. However, it is low used in civil engineering structures. The purpose of the present study is to investigate the static behavior of concrete plates reinforced with silica-nanoparticles. Due to agglomeration effect of silica-nanoparticles in concrete, Voigt's model is used for obtaining the equivalent nano-composite properties. Furthermore, the plate is simulated mathematically with higher order shear deformation theory. For a large use of this study, the concrete plate is assumed resting on a Pasternak elastic foundation, including a shear layer, and Winkler spring interconnected with a Kerr foundation. Using the principle of virtual work, the equilibrium equations are derived and by the mean of Hamilton's principle the energy equations are obtained. Finally, based on Navier's technique, closed-form solutions of simply supported plates have been obtained. Numerical results are presented considering the effect of different parameters such as volume percent of SiO2 nanoparticles, mechanical loads, geometrical parameters, soil medium, on the static behavior of the plate. The most findings of this work indicate that the use of an optimum amount of SiO2 nanoparticles on concretes increases better mechanical behavior. In addition, the elastic foundation has a significant impact on the bending of concrete slabs.

Influence of flexoelectricity on bending of piezoelectric perforated FG composite nanobeam rested on elastic foundation

  • Ali Alnujaie;Alaa A. Abdelrahman;Abdulrahman M. Alanasari;Mohamed A. Eltaher
    • Steel and Composite Structures
    • /
    • 제49권4호
    • /
    • pp.361-380
    • /
    • 2023
  • A size dependent bending behavior of piezoelectrical flexoelectric layered perforated functionally graded (FG) composite nanobeam rested on an elastic foundation is investigated analytically. The composite beam is composed of regularly cutout FG core and two piezoelectric face sheets. The material characteristics is graded through the core thickness by power law function. Regular squared cutout perforation pattern is considered and closed forms of the equivalent stiffness parameters are derived. The modified nonlocal strain gradient elasticity theory is employed to incorporate the microstructure as well as nonlocality effects into governing equations. The Winkler as well as the Pasternak elastic foundation models are employed to simulate the substrate medium. The Hamiltonian approach is adopted to derive the governing equilibrium equation including piezoelectric and flexoelectric effects. Analytical solution methodology is developed to derive closed forms for the size dependent electromechanical as well as mechanical bending profiles. The model is verified by comparing the obtained results with the available corresponding results in the literature. To demonstrate the applicability of the developed procedure, parametric studies are performed to explore influences of gradation index, elastic medium parameters, flexoelectric and piezoelectric parameters, geometrical and peroration parameters, and material parameters on the size dependent bending behavior of piezoelectrically layered PFG nanobeams. Results obtained revealed the significant effects both the flexoelectric and piezoelectric parameters on the bending behavior of the piezoelectric composite nanobeams. These parameters could be controlled to improve the size dependent electromechanical as well as mechanical behaviors. The obtained results and the developed procedure are helpful for design and manufacturing of MEMS and NEMS.