• Title/Summary/Keyword: Geometrical stiffness

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Finite Difference Analysis of Dynamic Characteristics of Negative Pressure Rectangular Porous Gas Bearings (음압 직각 다공질 공기베어링의 동특성에 관한 유한차분 해석)

  • Hwang Pyung;Khan Polina;Lee Chun-Moo;Kim Eun-Hyo
    • Tribology and Lubricants
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    • v.22 no.2
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    • pp.93-98
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    • 2006
  • The numerical analysis of the negative pressure porous gas bearings is presented. The pressure distribution is calculated using the finite difference method. The Reynolds equation and Darcy's equation are solved simultaneously. The air bearing stiffness and damping are evaluated using the perturbation method. Rectangular uniform grid is employed to model the bearing. The vacuum preloading is considered. The pressure in the vacuum pocket is assumed to be a constant negative pressure. The total load, stiffness, damping and flow rate are calculated fur several geometrical configurations and several values of negative pressure. It is found that too large vacuum pocket can result in negative total force.

A co-rotational 8-node assumed strain element for large displacement elasto-plastic analysis of plates and shells

  • Kim, K.D.
    • Structural Engineering and Mechanics
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    • v.15 no.2
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    • pp.199-223
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    • 2003
  • The formulation of a non-linear shear deformable shell element is presented for the solution of stability problems of stiffened plates and shells. The formulation of the geometrical stiffness presented here is exactly defined on the midsurface and is efficient for analyzing stability problems of thick plates and shells by incorporating bending moment and transverse shear resultant force. As a result of the explicit integration of the tangent stiffness matrix, this formulation is computationally very efficient in incremental nonlinear analysis. The element is free of both membrane and shear locking behaviour by using the assumed strain method such that the element performs very well in the thin shells. By using six degrees of freedom per node, the present element can model stiffened plate and shell structures. The formulation includes large displacement effects and elasto-plastic material behaviour. The material is assumed to be isotropic and elasto-plastic obeying Von Mises's yield condition and its associated flow rules. The results showed good agreement with references and computational efficiency.

Clinical Safety Evaluation of Interbody Fusion Cage Based on Tunable Elastic Modulus of the Cellular Structure According to the Geometrical Variables (형상학적 변수에 따른 다공성 구조의 가변탄성계수를 기반으로 한 추간체유합보형재의 임상적 안전성 평가)

  • Kim, SeongJin;Lee, YongKyung;Choi, Jaehyuck;Hong, YoungKi;Kim, JungSung
    • Journal of Biomedical Engineering Research
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    • v.40 no.5
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    • pp.158-164
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    • 2019
  • The interbody fusion cage used to replace the degenerative intervertebral disc is largely composed of titanium-based biomaterials and biopolymer materials such as PEEK. Titanium is characterized by osseointergration and biocompatibility, but it is posed that the phenomenon such as subsidence can occur due to high elastic modulus versus bone. On the other hand, PEEK can control the elastic modulus in a similar to bone, but there is a problem that the osseointegration is limited. The purpose of this study was to implement titanium material's stiffness similar to that of bone by applying cellular structure, which is able to change the stiffness. For this purpose, the cellular structure A (BD, Body Diagonal Shape) and structure B (QP, Quadral Pod Shape) with porosity of 50%, 60%, 70% were proposed and the reinforcement structure was suggested for efficient strength reinforcement and the stiffness of each model was evaluated. As a result, the stiffness was reduced by 69~93% compared with Ti6Al4V ELI material, and the stiffness most similar to cortical bone is calculated with the deviation of about 12% in the BD model with 60% porosity. In this study, the interbody fusion cage made of Ti6Al4V ELI material with stiffness similar to cortical bone was implementing by applying cellular structure. Through this, it is considered that the limitation of the metal biomaterial by the high elastic modulus may be alleviated.

Mechanical Properties of Silk Fabrics dyed with Persimmon Juice (감즙 염색에 의한 견직물의 역학적 특성)

  • Bae, Jung-Sook
    • Fashion & Textile Research Journal
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    • v.15 no.1
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    • pp.156-162
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    • 2013
  • For the development of high quality textiles, silk fabrics were dyed repeatedly with persimmon juice by padding mangle. We evaluated the mechanical properties and hand value by Kawabata Evaluation system for dyed silk fabrics. The results obtained from this study were as follows. With the increase of repeating padding times of dyeing, the linearity load-extension curves of the silk fabrics were increased; however, the tensile resilience of fabrics decreased. The hysteresis values of shear force were increased without significant change of shear stiffness. The coefficient of friction values were also decreased and geometrical roughness values were increased. The silk fabrics dyed with persimmon juice had shown the thickness and weight grow as the number of padding increases. The hand values of silk fabrics which were classified into 6 items in the Kawabata Evaluation System, were evaluated as repeating times of dyeing with persimmon juice. The hand values of Koshi(stiffness) and Hari(anti-drape stiffness) were increased, whereas Shinayakasa (flexibility with soft feeling) and Fukurami(fullness and softness) were decreased by dyeing with persimmon juice. However there was no significant change in hand values according to repeating padding times of dyeing.

Vault macro-element with equivalent trusses in global seismic analyses

  • Giresini, Linda;Sassu, Mauro;Butenweg, Christoph;Alecci, Valerio;De Stefano, Mario
    • Earthquakes and Structures
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    • v.12 no.4
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    • pp.409-423
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    • 2017
  • This paper proposes a quick and simplified method to describe masonry vaults in global seismic analyses of buildings. An equivalent macro-element constituted by a set of six trusses, two for each transverse, longitudinal and diagonal direction, is introduced. The equivalent trusses, whose stiffness is calculated by fully modeled vaults of different geometry, mechanical properties and boundary conditions, simulate the vault in both global analysis and local analysis, such as kinematic or rocking approaches. A parametric study was carried out to investigate the influence of geometrical characteristics and mechanical features on the equivalent stiffness values. The method was numerically validated by performing modal and transient analysis on a three naves-church in the elastic range. Vibration modes and displacement time-histories were compared showing satisfying agreement between the complete and the simplified models. This procedure is particularly useful in engineering practice because it allows to assess, in a simplified way, the effectiveness of strengthening interventions for reducing horizontal relative displacements between vault supports.

Non-linear Analysis of Laminated Composite Plates with Multi-directional Stiffness Degradation (강성 저하된 적층복합판의 비선형 해석)

  • Han, Sung-Cheon;Park, Weon-Tae;Lee, Won-Hong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.7
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    • pp.2661-2669
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    • 2010
  • In this study, a finite element formulation based first-order shear deformation theory is developed for non-linear behaviors of laminated composite plates containing matrix cracking. The multi-directional stiffness degradation is developed for adopting the stiffness variation induced from matrix cracking, which is proposed by Duan and Yao. The matrix cracking can be expressed in terms of the variation of material properties, such as Young's modulus, shear modulus and Possion ratio of plates, and sequently it is possible to predict the variation of the local stiffness. Using the assumed natural strain method, the present shell element generates neither membrane nor shear locking behavior. Numerical examples demonstrate that the present element behaves quite satisfactorily either for the linear or geometrical nonlinear analysis of laminated composite plates. The results of laminated composite plates with matrix cracking may be the benchmark test for the non-linear analysis of damaged laminated composite plates.

Analytical Study on Behaviour of Plane Steel Frame with Semi-Rigid Beam-to-Column Connection (반강접 접합부를 갖는 평면 강골조의 거동에 관한 해석적 연구)

  • Kim, Jong Sung
    • Journal of Korean Society of Steel Construction
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    • v.21 no.5
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    • pp.483-492
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    • 2009
  • In this study, nonlinear analysis of steel plane frame was performed using the refined plastic hinge method of advanced analysis techniques. In deterioration of stiffness in plastic zone, influences by flexural bending, residual stress, geometrical non-linearity, and semi-rigid connection are considered. And also, further reduced tangent modulus was used for geometrical non-linearity, top and seat angle were chosen for semi-rigid connection. Furthermore, 3 parameter power model was used for moment-rotation behaviour of beam to column connection. The loading conditions are combined with axial and lateral force and the inverse triangle distribution of lateral and eight type of analytical models were used in analysis. The results of analyses were compared with semi-rigid and rigid connection on behaviour of numerical analysis models. And also, the behaviors of frame with changes of semi-rigidity were analyzed by using the results obtained from MIIDAS-GENw.

Thermo-mechanical postbuckling of symmetric S-FGM plates resting on Pasternak elastic foundations using hyperbolic shear deformation theory

  • Chikh, Abdelbaki;Bakora, Ahmed;Heireche, Houari;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Bedia, E.A. Adda
    • Structural Engineering and Mechanics
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    • v.57 no.4
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    • pp.617-639
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    • 2016
  • In this work, an analytical formulation based on both hyperbolic shear deformation theory and stress function, is presented to study the nonlinear post-buckling response of symmetric functionally graded plates supported by elastic foundations and subjected to in-plane compressive, thermal and thermo-mechanical loads. Elastic properties of material are based on sigmoid power law and varying across the thickness of the plate (S-FGM). In the present formulation, Von Karman nonlinearity and initial geometrical imperfection of plate are also taken into account. By utilizing Galerkin procedure, closed-form expressions of buckling loads and post-buckling equilibrium paths for simply supported plates are obtained. The effects of different parameters such as material and geometrical characteristics, temperature, boundary conditions, foundation stiffness and imperfection on the mechanical and thermal buckling and post-buckling loading capacity of the S-FGM plates are investigated.

A study on the Change of Hand of Chitosan Crosslinked Cotton Fabrics - Effect of Concentration of Epichlorohydrin and Chitosan - (키토산 가교처리된 면직물의 태 변화에 관한 연구 - 에피클로로히드린과 키토산 농도의 영향-)

  • Kim, Min-Ji;Park, Jung-Woo;Lee, Shin-Hee
    • Fashion & Textile Research Journal
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    • v.6 no.5
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    • pp.660-666
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    • 2004
  • This article describes the change of hand value of chitosan crosslinked cotton fabrics. The chitosan crosslinked cotton fabrics were manufactured by mercerizing process using epichlorohydrin(ECH) as crosslinkins agent, 2% aqueous acetic acid as a solvent of chitosan and ECH, and 20% aqueous sodium hydroxide as a mercerizing agent and crosslinking catalyst. Cotton fabrics were dipped in the mixed solution of chitosan and ECH, picked up by mangle, mercerized and crosslinked in NaOH solution, and finally wash and dry. Mechanical and physical properties of the chitosan crosslinked fabric were investigated using Kawabata Evaluation System(KES) and other instruments. Tensile energy and tensile strain were decreased with the increase of the concentration of chitosan. Tensile resilience, compression resilience bending rigidity, bending hysteresis, shear stiffness, shear hysteresis, coefficient of friction, geometrical roughness, compression linearity, compressional energy, and thickness were increased with the increase of the concentration of chitosan. On the other hand, bending rigidity, bending hysteresis, coefficient of friction, geometrical roughness, compressional resilience, and thickness were increased with the increase of the concentration of crosslinking agent(epichlorohydrin).

Added effect of uncertain geometrical parameter on the response variability of Mindlin plate

  • Noh, Hyuk Chun;Choi, Chang Koon
    • Structural Engineering and Mechanics
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    • v.20 no.4
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    • pp.477-493
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    • 2005
  • In case of Mindlin plate, not only the bending deformation but also the shear behavior is allowed. While the bending and shear stiffness are given in the same order in terms of elastic modulus, they are in different order in case of plate thickness. Accordingly, bending and shear contributions have to be dealt with independently if the stochastic finite element analysis is performed on the Mindlin plate taking into account of the uncertain plate thickness. In this study, a formulation is suggested to give the response variability of Mindlin plate taking into account of the uncertainties in elastic modulus as well as in the thickness of plate, a geometrical parameter, and their correlation. The cubic function of thickness and the correlation between elastic modulus and thickness are incorporated into the formulation by means of the modified auto- and cross-correlation functions, which are constructed based on the general formula for n-th joint moment of random variables. To demonstrate the adequacy of the proposed formulation, a plate with various boundary conditions is taken as an example and the results are compared with those obtained by means of classical Monte Carlo simulation.