• Title/Summary/Keyword: Deflection Models

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터빈블레이드의 5축 고속가공에서 가공경로와 공구기울임 방향의 선정 (Evaluation of Cutter Orientations in 5-Axis High Speed Milling of Turbine Blade)

  • 임태순;이유하;이득우;김정석
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2002년도 춘계학술대회 논문집
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    • pp.155-160
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    • 2002
  • Recently, the development of aerospace and automobile industries has brought new technological challenges, rebated to the growing complexity of products and the new geometry of the models. High speed milling with a 5-Axis milling machine has been widely used fur 3D sculptured surface parts. When turbine blades are machined by a 5-axis milling, their thin and cantilever shape causes vibrations, deflections and twists. Therefore, the surface roughness and the waviness of the workpiece are not good. In this paper, the effects of cutter orientation and the lead/tilt angle used to machine turbine blades with a 5-axis high speed ball end-milling were investigated to improve geometric accuracy and surface integrity. The experiments were performed using a lead/tilt angle of 15$^{\circ}$ to the workpiece with four cutter directions such as horizontal outward, horizontal inward, vertical outward, and vortical inward directions. Workpiece deflection, surface roughness and the machined surface were all measured with various cutter orientations such as cutting directions, and lead/tilt angle. The results show that the best cutting strategy for machining turbine blades with a 5-axis milling is horizontal inward direction with a tilt angle.

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Nonlinear finite element analysis of high strength concrete slabs

  • Smadi, M.M.;Belakhdar, K.A.
    • Computers and Concrete
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    • 제4권3호
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    • pp.187-206
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    • 2007
  • A rational three-dimensional nonlinear finite element model is described and implemented for evaluating the behavior of high strength concrete slabs under transverse load. The concrete was idealized by using twenty-nodded isoparametric brick elements with embedded reinforcements. The concrete material modeling allows for normal (NSC) and high strength concrete (HSC), which was calibrated based on experimental data. The behavior of concrete in compression is simulated by an elastoplastic work-hardening model, and in tension a suitable post-cracking model based on tension stiffening and shear retention models are employed. The nonlinear equations have been solved using the incremental iterative technique based on the modified Newton-Raphson method. The FE formulation and material modeling is implemented into a finite element code in order to carry out the numerical study and to predict the behavior up to ultimate conditions of various slabs under transverse loads. The validity of the theoretical formulations and the program used was verified through comparison with available experimental data, and the agreement has proven to be very good. A parametric study has been also carried out to investigate the influence of different material and geometric properties on the behavior of HSC slabs. Influencing factors, such as concrete strength, steel ratio, aspect ratio, and support conditions on the load-deflection characteristics, concrete and steel stresses and strains were investigated.

Elastic buckling of end-loaded, tapered, cantilevered beams with initial curvature

  • Wilson, James F.;Strong, Daniel J.
    • Structural Engineering and Mechanics
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    • 제5권3호
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    • pp.257-268
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    • 1997
  • The elastic deflections and Euler buckling loads are investigated for a class of tapered and initially curved cantilevered beams subjected to loading at the tip. The beam's width increases linearly and its depth decreases linearly with the distance from the fixed end to the tip. Unloaded, the beam forms a circular are perpendicular to the axis of bending. The beam's deflection responses, obtained by solving the differential equations in closed form, are presented in terms of four nondimensional system parameters: taper ratio ${\kappa}$, initial shape ratio ${\Delta}_0$, end load ratio f, and load angle ${\theta}$. Laboratory measurements of the Euler buckling loads for scale models of tapered initially straight, corrugated beams compared favorably with those computed from the present analysis. The results are applicable to future designs of the end structures of highway guardrails, which can be designed to give the appropriate balance between the capacity to deflect a nearly head-on vehicle back to its right-of-way and the capacity to buckle sufficiently that penetration of the vehicle may be averted.

Experimental and analytical studies on one-way concrete slabs reinforced with GFRP molded gratings

  • Mehrdad, Shokrieh Mahmood;Mohammad, Heidari-Rarani
    • Steel and Composite Structures
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    • 제9권6호
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    • pp.569-584
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    • 2009
  • Corrosion of steel rebars in bridge decks which are faced to harsh conditions, is a common problem in construction industries due to the porosity of concrete. In this research, the behavior of one-way concrete slabs reinforced with Glass fiber reinforced polymer (GFRP) molded grating is investigated both theoretically and experimentally. In the analytical method, a closed-form solution for load-deflection behavior of a slab under four-point bending condition is developed by considering a concrete slab as an orthotropic plate and defining stiffness coefficients in principal directions. The available formulation for concrete reinforced with steel is expanded for concrete reinforced with GFRP molded grating to predict ultimate failure load. In finite element modeling, an exact nonlinear behavior of concrete along with a 3-D failure criterion for cracking and crushing are considered in order to estimate the ultimate failure load and the initial cracking load. Eight concrete slabs reinforced with steel and GFRP grating in various thicknesses are also tested to verify the results. The obtained results from the models and experiments are relatively satisfactory.

Numerical investigation on the behavior of SHS steel frames strengthened using CFRP

  • Keykha, Amir Hamzeh
    • Steel and Composite Structures
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    • 제24권5호
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    • pp.561-568
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    • 2017
  • Steel frames are widely used in steel structures. Exiting steel structures may be needed to strengthen for various reasons. Carbon Fiber Reinforced Polymers (CFRP) is one of the materials that are used to strengthen steel structures. Most studies on strengthening steel structures have been done on beams and steel columns. No independent study, to the researcher's knowledge, has studied the effect of CFRP strengthening on steel frames. This study explored the use of CFRP composite on retrofitting square hollow section (SHS) steel frames, using numerical investigations. Ten Finite Element (FE) models, which were strengthened with CFRP sheets, were analyzed under different coverage length, number of layers, and location of CFRP composite. One FE model without strengthening was analyzed as a control FE model to determine the increase of the ultimate load in the strengthened steel frames. ANSYS software was used to analyze the SHS steel frames. The results showed that the coverage length and the number of layers of CFRP composite have a significant effect on increasing the ultimate load of the SHS steel frames. The results also showed that the location of CFRP composite had no similar effect on increasing the ultimate load and the amount of mid span deflection of the SHS steel frames.

MINLP optimization of a composite I beam floor system

  • Zula, Tomaz;Kravanja, Stojan;Klansek, Uros
    • Steel and Composite Structures
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    • 제22권5호
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    • pp.1163-1192
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    • 2016
  • This paper presents the cost optimization of a composite I beam floor system, designed to be made from a reinforced concrete slab and steel I sections. The optimization was performed by the mixed-integer non-linear programming (MINLP) approach. For this purpose, a number of different optimization models were developed that enable different design possibilities such as welded or standard steel I sections, plastic or elastic cross-section resistances, and different positions of the neutral axes. An accurate economic objective function of the self-manufacturing costs was developed and subjected to design, resistance and deflection (in)equality constraints. Dimensioning constraints were defined in accordance with Eurocode 4. The Modified Outer-Approximation/Equality-Relaxation (OA/ER) algorithm was applied together with a two-phase MINLP strategy. A numerical example of the optimization of a composite I beam floor system, as presented at the end of this paper, demonstrates the applicability of the proposed approach. The optimal result includes the minimal produced costs of the structure, the optimal concrete and steel strengths, and dimensions.

Layer-wise numerical model for laminated glass plates with viscoelastic interlayer

  • Zemanova, Alena;Zeman, Jan;Janda, Tomas;Sejnoha, Michal
    • Structural Engineering and Mechanics
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    • 제65권4호
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    • pp.369-380
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    • 2018
  • In this paper, a multi-layered finite element model for laminated glass plates is introduced. A layer-wise theory is applied to the analysis of laminated glass due to the combination of stiff and soft layers; the independent layers are connected via Lagrange multipliers. The von $K{\acute{a}}rm{\acute{a}}n$ large deflection plate theory and the constant Poisson ratio for constitutive equations are assumed to capture the possible effects of geometric nonlinearity and the time/temperature-dependent response of the plastic foil. The linear viscoelastic behavior of a polymer foil is included by the generalized Maxwell model. The proposed layer-wise model was implemented into the MATLAB code and verified against detailed three-dimensional models in ADINA solver using different hexahedral finite elements. The effects of temperature, load duration, and creep/relaxation are demonstrated by examples.

Experimental & numerical investigation of mechanical properties in steel fiber-reinforced UHPC

  • Dadmand, Behrooz;Pourbaba, Masoud;Sadaghian, Hamed;Mirmiran, Amir
    • Computers and Concrete
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    • 제26권5호
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    • pp.451-465
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    • 2020
  • This paper presents experimental and numerical investigations on mechanical properties of ultra-high-performance fiber-reinforced concrete (UHPFRC) with four types of steel fibers; micro steel (MS), crimped (C), round crimped (RC) and hooked-end (H), in two fiber contents of 1% and 2% (by volume) and two lengths of 13 and 30 mm. Compression, direct tension, and four-point bending tests were carried out on four types of specimens (prism, cube, dog-bone and cylinder), to study tensile and flexural strength, fracture energy and modulus of elasticity. Results were compared with UHPC specimens without fibers, as well as with available equations for the modulus of elasticity. Specimens with MS fibers had the best performance for all mechanical properties. Among macro fibers, RC had better overall performance than H and C fibers. Increased fibers improved all mechanical properties of UHPFRC, except for modulus of elasticity, which saw a negligible effect (mostly less than 10%). Moreover, nonlinear finite element simulations successfully captured flexural response of UHPFRC prisms. Finally, nonlinear regression models provided reasonably well predictions of flexural load-deflection behavior of tested specimens (coefficient of correlation, R2 over 0.90).

Dynamic Elastica에 의한 유연매체의 거동해석 (Analysis of Flexible Media Behavior by Dynamic Elastica)

  • 홍성권;지중근;장용훈;박노철;박영필
    • 한국소음진동공학회논문집
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    • 제15권2호
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    • pp.206-212
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    • 2005
  • In many machines handling lightweight and flexible media, such as magnetic tape drives, xerographic copiers and sewing machines, the media must transit an open space. It is important to predict the static and dynamic behavior of the sheets with a high degree of reliability. The nonlinear theory of the dynamic elastica has often been used to a nonlinear dynamic deflection model. In this paper, the governing equation is derived and simulated by the finite difference method. The parametric cubic curve is applied for defining the guide shape. The dynamic contact conditions suggested by Klarbring is used to predict the direction of the flexible media according to the initial velocity and the friction coefficient. The analysis is also compared to the conventional model, showing that after contacting a $45^{\circ}$ wall, the directions of flexible media of two models are different.

논문 : 압전적층판의 비선형 열압전탄성 거동에서의 스냅 - 스루 현상 (Papers : Snap - through Phenomena on Nonlinear Thermopiezoelastic Behavior of Piezolaminated Plates)

  • 오일권;신원호;이인
    • 한국항공우주학회지
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    • 제30권1호
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    • pp.36-43
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    • 2002
  • 압전적층판의 비선형 열압전탄성 거동에서의 스냅-스루 현상을 뉴튼-랩슨기법에 호길이법을 적용하여 수치적으로 규명하였다. 층별변위장이론과 von Karman 변형률-변위 관계식을 적용하여 열압전탄성 복합적층 평판에 대한 비선형 유한요소정식화를 수행하였다. 다양한 압전 작동모드에 따라 대칭 및 편심된 구조모델에 대하여 정적 및 동적 관점에서 비선형 열압전탄성 거동과 진동특성을 연구하였다. 본 연구에서는 압전 작동기를 사용하여 유연한 열적 구조물들의 성능을 향상시킬 수 있는 가능성과 새로운 현상학적인 발견인 열압전탄성 스냅핑 거동이 좌굴된 압전탄성 복합적층 평판에서 과도한 압전작동력이 작용하는 경우에 발생할 수 있음을 제시하였다.