• 제목/요약/키워드: Isotropic Beam

검색결과 109건 처리시간 0.022초

유한요소법에 의한 등방성과 이방성 재료의 저속 충격 해석 (Low-Velocity Impact Analyses of Isotropic and Anisotropic Materials by the Finite Element Method)

  • 안국찬;박형렬
    • 한국안전학회지
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    • 제16권1호
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    • pp.9-17
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    • 2001
  • The purpose of this research is to analyze the impact resposes(impulsive stress and strain etc.) of anisotropic materials subjected to the low-velocity impact. For this purpose, a beam finite element program based on modified higher-order beam theory for anisotropic materials are developed and used to simulate the dynamic behaviors [contact force, displacement of ball and target, strain(stress) response histories] according to the changes of material property, stacking sequence, velocity and dimension etc.. Test materials for simulation are composed of $[0^{\circ}/45^{\circ}/0^{\circ}/-45^{\circ}/0^{\circ}]_{2s} and [90^{\circ}/45^{\circ}/90^{\circ}/-45^{\circ}/90^{\circ}]_{2s}$ stacking sequences. Finally, the results of this simulation are compared with those of wave propagation theory and then the impact responses and wave propagation phenomena are investigated.

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Fully Analytic Approach to Evaluate Laser-induced Thermal Effects

  • Kim, Myungsoo;Kwon, Gyeong-Pil;Lee, Jinho
    • Current Optics and Photonics
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    • 제1권6호
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    • pp.649-654
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    • 2017
  • In this communication, we present an expression to determine thermal lensing in isotropic materials. The heat equation is analytically solved when a Gaussian spatial laser beam profile is introduced to a cylindrical geometry of optics using a complete set of Bessel functions. This expression permits explicit calculation of variation of focal length induced by thermal lensing and allows thermal effects for various material parameters on the optics. We applied our model to a high absorption material (Ti:sapphire) and also transparent material (thallium garnet or TGG) and found that the thermal lensing can be reduced more than 4 times by adjusting the laser beam waist and optics dimensions. Our analysis is completely general and applicable to any optical system.

Time Reversa1 Reconstruction of Ultrasonic Waves in Anisotropic Media

  • Jeong, Hyun-Jo
    • 비파괴검사학회지
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    • 제28권1호
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    • pp.54-58
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    • 2008
  • Time reversal (TR) of body waves in fluids and isotropic solids has been used in many applications including ultrasonic NDE. However, the study of the TR method for anisotropic materials is not well established. In this paper, the full reconstruction of the input signal is investigated for anisotropic media using an analytical formulation, called a modular Gaussian beam (MGB) model. The time reversal operation of this model in the frequency domain is done by taking the complex conjugate of the Gaussian amplitude and phase received at the TR mirror position. A narrowband reference signal having a particular frequency and number of cycles is then multiplied and the whole signal is inverse Fourier transformed. The original input signal is seen to be fully restored by the TR process of MGB model and this model can be more generalized to simulate the spatial and temporal focusing effects due to TR process in anisotropic materials.

회전하는 복합재 블레이드의 열진동 해석 및 제어 (Thermally-Induced Vibration Control of Rotating Composite Thin-Walled Blade)

  • 정회도;나성수;곽문규;허석
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.1696-1701
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    • 2003
  • This paper deals with a vibration control analysis of a rotating composite blade, modeled as a tapered thinwalled beam induced by heat flux. The displayed results reveal that the thermally induced vibration yields a detrimental repercussions upon their dynamic responses. The blade consists of host graphite epoxy laminate with surface and spanwise distributed transversely isotropic (PZT-4) sensors and actuators. The controller is implemented via the negative velocity and displacement feedback control methodology, which prove to overcome the deleterious effect associated with the thermally induced vibration. The structure is modeled as a composite thin-walled beam incorporating a number of nonclassical features such as transverse shear, secondary warping, anisotropy of constituent materials, and rotary inertias.

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평면 배열 안테나를 이용한 수선 지역 형태에 적합한 빔 형성 방법에 관한 연구 (A Study on the Beam forming method suitable receive area shape using planar array antenna)

  • 이봉수;장재철;안도희
    • 한국컴퓨터정보학회논문지
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    • 제8권1호
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    • pp.90-96
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    • 2003
  • 본 논문에서는 N개의 등방성 점원을 수신 지역과 동일한 구조로 배열하고 수신 지역과 동일한 방사패턴을 갖는 배열 구조에 대하여 연구하였다. 배열된 소자 간격은 그레이팅 로브를 피하면서 최적의 특성을 얻기 위하여 반파장 등간격으로 선택하였고, 각 배열 구조의 어레이 팩터를 유도한 후, 방사패턴을 이론적으로 계산하였다. 계산된 특성으로부터 각 평면 배열 안테나의 방사패턴은 수신 지역의 구조와 유사한 빔 특성을 얻을 수 있었다.

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Analysis of functionally graded beam using a new first-order shear deformation theory

  • Hadji, Lazreg;Daouadji, T. Hassaine;Meziane, M. Ait Amar;Tlidji, Y.;Bedia, E.A. Adda
    • Structural Engineering and Mechanics
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    • 제57권2호
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    • pp.315-325
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    • 2016
  • A new first-order shear deformation theory is developed for dynamic behavior of functionally graded beams. The equations governing the axial and transverse deformations of functionally graded plates are derived based on the present first-order shear deformation plate theory. The governing equations and boundary conditions of functionally graded beams have the simple forms as those of isotropic plates. The influences of the volume fraction index and thickness-to-length ratio on the fundamental frequencies are discussed. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions.

A simplified method for free vibration analysis of wall-frames considering soil structure interaction

  • Kara, Dondu;Bozdogan, Kanat Burak;Keskin, Erdinc
    • Structural Engineering and Mechanics
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    • 제77권1호
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    • pp.37-46
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    • 2021
  • In this study, a method for free vibration analysis of wall-frame systems built on weak soil is proposed. In the development of the method, the wall-frame system that constitutes the superstructure was modeled as flexural-shear beam. In the study, it is accepted that the soil layers are isotropic, homogeneous and elastic, and the waves are only vertical propagating shear waves. Based on this assumption, the soil layer below is modeled as an equivalent shear beam. Then the differential equation system that represented the behavior of the whole system was written for both regions in a separate way. Natural periods were obtained by solving the differential equations by employing boundary conditions. At the end of the study, two examples were solved and the suitability of the proposed method to the Finite Element Method was evaluated.

Analytical evaluation and experimental validation of energy harvesting using low-frequency band of piezoelectric bimorph actuator

  • Mishra, Kaushik;Panda, Subrata K.;Kumar, Vikash;Dewangan, Hukum Chand
    • Smart Structures and Systems
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    • 제26권3호
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    • pp.391-401
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    • 2020
  • The present article reports the feasibility of the electrical energy generation from ambient low-frequency vibration using a piezoelectric material mounted on a bimorph cantilever beam actuator. A corresponding higher-order analytical model is developed using MATLAB in conjunction with finite element method under low-frequency with both damped and undamped conditions. An alternate model is also developed to check the material and dimensional viability of both piezoelectric materials (mainly focussed to PVDF and PZT) and the base material. Also, Genetic Algorithm is implemented to find the optimum dimensions which can produce the higher values of voltage at low-frequency frequencies (≤ 100 Hz). The delamination constraints are employed to avoid inter-laminar stresses and to increase the fracture toughness. The delamination has been done using a Teflon sheet sandwiched in between base plates and the piezo material is stuck to the base plate using adhesives. The analytical model is tested for both homogenous and isotropic material characteristics of the base material and extended to investigate the effect of the different geometrical parameters (base plate dimensions, piezo layer dimensions and placement, delamination thickness and placement, excitation frequency) on the model responses of the bimorph cantilever beam. It has been observed that when the base material characteristics are homogenous, the efficiency of the model remains higher when compared to the condition when it is of isotropic material. The necessary convergence behaviour of the current numerical model has been established and checked for the accuracy by comparing with available published results. Finally, using the results obtained from the model, a prototype is fabricated for the experimental validation via a suitable circuit considering Glass fibre and Aluminium as the bimorph material.

Advanced analysis of cyclic behaviour of plane steel frames with semi-rigid connections

  • Saravanan, M.;Arul Jayachandran, S.;Marimuthu, V.;Prabha, P.
    • Steel and Composite Structures
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    • 제9권4호
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    • pp.381-395
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    • 2009
  • This paper presents the details of an advanced Finite Element (FE) analysis of a plane steel portal frame with semi-rigid beam-to-column connections subjected cyclic loading. In spite of several component models on cyclic behaviour of connections presented in the literature, works on numerical investigations on cyclic behaviour of full scale frames are rather scarce. This paper presents the evolution of an FE model which deals comprehensively with the issues related to cyclic behaviour of full scale steel frames using ABAQUS software. In the material modeling, combined kinematic/isotropic hardening model and isotropic hardening model along with Von Mises criteria are used. Connection non-linearity is also considered in the analysis. The bolt slip which happens in friction grip connection is modeled. The bolt load variation during loading, which is a pivotal issue in reality, has been taken care in the present model. This aspect, according to the knowledge of the authors, has been first time reported in the literature. The numerically predicted results using the methodology evolved in the present study, for the cyclic behaviour of a cantilever beam and a rigid frame, are validated with experimental results available in the literature. The moment-rotation and deflection responses of the evolved model, match well with experimental results. This proves that the methodology for evolving the steel frame and connection model presented in this paper is closer to real frame behaviour as evident from the good comparison and hence paves the way for further parametric studies on cyclic behaviour of flexibly connected frames.

Numerical modelling of FRP strengthened RC beam-column joints

  • Mahini, Seyed S.;Ronagh, Hamid R.
    • Structural Engineering and Mechanics
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    • 제32권5호
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    • pp.649-665
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    • 2009
  • This paper reports part of a comprehensive research study conducted at the University of Queensland on the ability of CFRP web-bonded systems in strengthening an exterior beam-column joint subjected to monotonic loads. One 1/2.2 scaled plain and four CFRP repaired/retrofitted joints subjected to monotonic loads were analysed using the nonlinear finite-element program ANSYS and the results were calibrated against experiments. The ANSYS model was employed in order to account for tension stiffening in concrete after cracking and a modified version of the Hognestad's model was used to model the concrete compressive strength. The stress-strain properties of main steel bars were modelled using multilinear isotropic hardening model and the FRPs were modelled as anisotropic materials. A perfect bond was assumed as nodes were shared between adjacent elements irrespective of their type. Good agreement between the numerical predictions and the experimental observation of the failure mechanisms for all specimens were observed. Closeness of these results proved that the numerical analysis can be used by design engineers for the analysis of web-bonded FRP strengthened beam-column joints with confidence.