• 제목/요약/키워드: Cubic Stiffness

검색결과 51건 처리시간 0.02초

Fused Deposition Modeling of Iron-alloy using Carrier Composition

  • Harshada R. Chothe;Jin Hwan Lim;Jung Gi Kim;Taekyung Lee;Taehyun Nam;Jeong Seok Oh
    • Elastomers and Composites
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    • 제58권1호
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    • pp.44-56
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    • 2023
  • Additive manufacturing (AM) or three-dimensional (3D) printing of metals has been drawing significant attention due to its reliability, usefulness, and low cost with rapid prototyping. Among the various AM technologies, fused deposition modeling (FDM) or fused filament fabrication is receiving much interest because of its simple manufacturing processing, low material waste, and cost-effective equipment. FDM technology uses metal-filled polymer filaments for 3D printing, followed by debinding and sintering to fabricate complex metal parts. An efficient binder is essential for producing polymer filaments and the thermal post-processing of printed objects. This study involved an in-depth investigation of and a fabrication route for a novel multi-component binder system with steel alloy powder (45 vol.%) ranging from filament fabrication and 3D printing to debinding and sintering. The binder system consisted of polyvinyl pyrrolidone (PVP) as a binder and thermoplastic polyurethane (TPU) and polylactic acid (PLA) as a carrier. The PVP binder held the metal components tightly by maintaining their stoichiometry, and the TPU and PLA in the ratio of 9:1 provided flexibility, stiffness, and strength to the filament for 3D printing. The efficacy of the binder system was examined by fabricating 3D-printed cubic structures. The results revealed that the thermal debinding and sintering processes effectively removed the binder/carrier from the cubic structures, resulting in isotropic shrinkage of approximately 15.8% in all directions. The scanning electron microscopy (SEM) and energy dispersive X-ray spectroscopy (EDX) patterns displayed the microstructure behavior, phase transition, and elemental composition of the 3D cubic structure.

Comparisons of Elasto-Fiber and Fiber & Bernoulli-Euler reinforced concrete beam-column elements

  • Karaton, Muhammet
    • Structural Engineering and Mechanics
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    • 제51권1호
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    • pp.89-110
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    • 2014
  • In this study, two beam-column elements based on the Elasto-Fiber element theory for reinforced concrete (RC) element have been developed and compared with each other. The first element is based on Elasto Fiber Approach (EFA) was initially developed for steel structures and this theory was applied for RC element in there and the second element is called as Fiber & Bernoulli-Euler element approach (FBEA). In this element, Cubic Hermitian polynomials are used for obtaining stiffness matrix. The beams or columns element in both approaches are divided into a sub-element called the segment for obtaining element stiffness matrix. The internal freedoms of this segment are dynamically condensed to the external freedoms at the ends of the element by using a dynamic substructure technique. Thus, nonlinear dynamic analysis of high RC building can be obtained within short times. In addition to, external loads of the segment are assumed to be distributed along to element. Therefore, damages can be taken account of along to element and redistributions of the loading for solutions. Bossak-${\alpha}$ integration with predicted-corrected method is used for the nonlinear seismic analysis of RC frames. For numerical application, seismic damage analyses for a 4-story frame and an 8-story RC frame with soft-story are obtained to comparisons of RC element according to both approaches. Damages evaluation and propagation in the frame elements are studied and response quantities from obtained both approaches are investigated in the detail.

비압축성 유동장내 2차원 익형의 혼돈거동 (Chaotic Behavior of 2-Dimensional Airfoil in Incompressible Flow)

  • 정성원;이동기;이상환
    • 대한기계학회논문집
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    • 제19권2호
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    • pp.495-508
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    • 1995
  • The self-excited vibrations of airfoil is related to the classical flutter problems, and it has been studied as a system with linear stiffness and small damping. However, since the actual aircraft wing and the many mechanical elements of airfoil type have various design variables and parameters, some of these could have strong nonlinearities, and the nonlinearities could be unexpectedly strong as the parameters vary. This abrupt chaotic behavior undergoes ordered routes, and the behaviors after these routes are uncontrollable and unexpectable since it is extremely sensitive to initial conditions. In order to study the chaotic behavior of the system, three parameters are considered, i.e., free-stream velocity, elastic distance and zero-lift angle. If the chaotic parameter region can be identified from the mathematically modeled nonlinear differential equation system, the designs which avoid chaotic regions could be suggested. In this study, by using recently developed dynamically system methods, and chaotic regions on the parameter plane will be found and the safe design variables will be suggested.

탄성칼슘에 성상이 종이물성에 미치는 영향 (Effect of Particle Shape and Size of Calcium Carbonate on Physical Properties of Paper)

  • 한영림;서영범
    • 펄프종이기술
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    • 제29권1호
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    • pp.7-12
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    • 1997
  • This study was intended to investigate the proper shape and size of calcium carbonate for the improvement of paper properties and its end use performance. We loaded calcium carbonate of various shapes and size in the handsheet and measured their physical and optical properties. Results obtained from the study are summarized as follows : 1. Due to different particle shapes and sizes, precipitated calcium carbonate (PCC) contributed greater to bulk improvement than ground calcium carbonate (GCC). Scalenohedral form of PCC produced the bulkiest sheet, GCC made the sheet bulkier as average particle size increases. 2. Tensile strength increased as average particle size was increasing. GCC kept tensile strength more effectively than PCC. The effect of particle size on tensile strength was much more pronounced as filler addition level was increasing. 3. Over the average particle size of 6.99$\mu$m, GCC gave much higher burst strength and internal bond than PCC did. In the filler levels of 20% and 30%, GCC by using bigger size fillers showed 50~100% improvement in some cases than PCC at the same filler content. 4. Tear strength increased as average particle size was increasing. At the filler level of 30%, PCC decreased tear greatly. 5. Over the average particle size of 13.56$\mu$m, GCC kept bending stiffness greater than PCC. Due to its shape, Scalenohedral form of PCC showed higher stiffness than others at the same particle size. 6. Cubic and acicular form of PCC improved light scattering coefficient very effectively. Light scattering coefficient of GCC decreased as average particle size increased. 7. Both of particle shape and size of filler were important factor in developing optical properties and bending stiffness. Particle size was the only important factor in developing other strength properties

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A New Hybrid-Mixed Composite Laminated Curved Beam Element

  • Lee Ho-Cheol;Kim Jin-Gon
    • Journal of Mechanical Science and Technology
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    • 제19권3호
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    • pp.811-819
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    • 2005
  • In this study, we present a new efficient hybrid-mixed composite laminated curved beam element. The present element, which is based on the Hellinger-Reissner variational principle and the first-order shear deformation lamination theory, employs consistent stress parameters corresponding to cubic displacement polynomials with additional nodeless degrees in order to resolve the numerical difficulties due to the spurious constraints. The stress parameters are eliminated and the nodeless degrees are condensed out to obtain the ($6{\times}6$) element stiffness matrix. The present study also incorporates the straightforward prediction of interlaminar stresses from equilibrium equations. Several numerical examples confirm the superior behavior of the present composite laminated curved beam element.

Volterra급수로 나타낸 비선형시스템 주파수응답함수의 수렴특성 (Convergence Characteristics of the Frequency Response Functions of Non-Linear Systems Expressed in Terms of the Volterra Series)

  • 이건명
    • 대한기계학회논문집
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    • 제19권8호
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    • pp.1901-1906
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    • 1995
  • The frequency response functions of systems incorporating a non-linear cubic stiffness subject to sinusoidal excitation are derived using the Volterra series and the convergence characteristics investigated. It is shown that the series representation of the frequency response functions converges only when the sinewave input amplitude is within a certain range. Within the range of convergence the frequency response function based on the Volterra series approaches the analytical one as more higher order frequency response function terms are included. Proposed is a criterion for the studies systems to predict approximately the range of sinewave input amplitude for which the series representation of the frequency response functions converges.

두 절점 혼합 곡선 보요소의 보간함수 선정 (Optimal Interpolation Functions of 2-None Hybrid-Mixed Curved Beam Element)

  • 김진곤
    • 대한기계학회논문집A
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    • 제24권12호
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    • pp.3003-3009
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    • 2000
  • In this paper, we propose a new efficient hybrid-mixed C(sup)0 curved beam element with the optimal interpolation functions determined from numerical tests, which gives very accurate locking-free two-node curved beam element. In the element level, the stress parameters are eliminated from the stationary condition and the nodeless degrees of freedom are also removed by static condensation so that a standard six-by-six stiffness matrix is finally obtained. The numeri cal benchmark problems show that the element with cubic displacement functions and quadratic stress functions is the most efficient.

Combination resonances of imperfect SSFG cylindrical shells rested on viscoelastic foundations

  • Foroutan, Kamran;Ahmadi, Habib
    • Structural Engineering and Mechanics
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    • 제75권1호
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    • pp.87-100
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    • 2020
  • The present paper investigates the combination resonance behavior of imperfect spiral stiffened functionally graded (SSFG) cylindrical shells with internal and external functionally graded stiffeners under two-term large amplitude excitations. The structure is embedded within a generalized nonlinear viscoelastic foundation, which is composed of a two-parameter Winkler-Pasternak foundation augmented by a Kelvin-Voigt viscoelastic model with a nonlinear cubic stiffness, to account for the vibration hardening/softening phenomena and damping considerations. With regard to classical plate theory of shells, von-Kármán equation and Hook law, the relations of stress-strain are derived for shell and stiffeners. The spiral stiffeners of the cylindrical shell are modeled according to the smeared stiffener technique. According to the Galerkin method, the discretized motion equation is obtained. The combination resonance is obtained by using the multiple scales method. Finally, the influences of the stiffeners angles, foundation type, the nonlinear elastic foundation coefficients, material distribution, and excitation amplitude on the system resonances are investigated comprehensively.

효율적인 C0 적층 곡선보 요소의 개발 (A New and Efficient C0 Laminated Curved Beam Element)

  • 김진곤;강상욱
    • 대한기계학회논문집A
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    • 제27권4호
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    • pp.559-566
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    • 2003
  • In this study, we present a new highly accurate two-dimensional curved composite beam element. The present element, which is based on the Hellinger-Reissner variational principle and classical lamination theory, employs consistent stress parameters corresponding to cubic displacement polynomials with additional nodeless degrees to resolve the numerical difficulties due to the spurious constraints. The stress parameters are eliminated and the nodeless degrees are condensed out to obtain the (9x9) element stiffness matrix. It should be noted that the stacking sequences without transverse deformation to the load plane makes a two dimensional analysis of curved composite beams practically useful . Several numerical examples confirm the superior locking-free behavior of the present higher-order laminated curved beam element.

간극의 기하학적 특성이 절리의 수직변형 및 투수성에 미치는 영향에 관한 연구 (A Study of the Influence of Void Geometry on Fracture Closure and Permeability)

    • 터널과지하공간
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    • 제12권4호
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    • pp.304-311
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    • 2002
  • 절리의 기하학적 특성이 절리의 수직변형 및 투수성에 미치는 영향에 대해 수치해석적 방법을 통해 연구하였다. 실험적 계측 결과에 의하면, 절리의 간극은 통계적 방법에 의해 묘사되며 이에 근거하여 수치해석에 사용할 수 있는 절리를 모사할 수 있었다. 이를 위해. 자동 상관관계 함수를 이용하여 다양한 공간 상관길이의 인공 절리를 발생하였으며, 이를 토대로 수직변천 모델 및 수리해석 모델을 개발하였다. 수직변형 모델은 수직응력에 의한 절리면의 압축과 변형을 고려하여 절리의 변형거동을 해석하려 시도하였으며, cubic law에 근거한 유한차분법을 이용하여 수리해석을 수행하였다. 여러 가지 공간 상관길이의 인공 절리에 대한 수직변형 거동 및 이에 따른 수리해석의 결과, 간극의 공간 상관길이가 증가함에 따라 절리의 수직변형 및 투수성 감소가 분명하였다. 절리의 수직강성 역시 간극의 상관길이에 영향을 받는 것으로 나타났으며, 이로 인해 절리의 투수성이 수직강성과 내재적 관계가 있음을 유추할 수 있겠다. 본 연구 결과는 공학적 프로젝트로 인한 절리 암반의 수리-역학적 거동을 이해하는데 공헌할 것으로 사료된다.