• Title/Summary/Keyword: flexibility formulation

Search Result 85, Processing Time 0.021 seconds

Investigating the effect of edge crack on the modal properties of composite wing using dynamic stiffness matrix

  • Torabi, Ali Reza;Shams, Shahrokh;Fatehi-Narab, Mahdi
    • Steel and Composite Structures
    • /
    • v.39 no.5
    • /
    • pp.543-564
    • /
    • 2021
  • In this study free vibration analysis of a cracked Goland composite wing is investigated. The wing is modelled as a cantilevered beam based on Euler- Bernoulli equations. Also, composite material is modelled based on lamina fiber-reinforced. Edge crack is modelled by additional boundary conditions and local flexibility matrix in crack location, Castigliano's theorem and energy release rate formulation. Governing differential equations are extracted by Hamilton's principle. Using the separation of variables method, general solution in the normalized form for bending and torsion deflection is achieved then expressions for the cross-sectional rotation, the bending moment, the shear force and the torsional moment for the cantilevered beam are obtained. The cracked beam is modelled by separation of beam into two interconnected intact beams. Free vibration analysis of the beam is performed by applying boundary conditions at the fixed end, the free end, continuity conditions in the crack location of the beam and dynamic stiffness matrix determinant. Also, the effects of various parameters such as length and location of crack and fiber angle on natural frequencies and mode shapes are studied. Modal analysis results illustrate that natural frequencies and mode shapes are affected by depth and location of edge crack and coupling parameter.

A variational nodal formulation for multi-dimensional unstructured neutron diffusion problems

  • Qizheng Sun ;Wei Xiao;Xiangyue Li ;Han Yin;Tengfei Zhang ;Xiaojing Liu
    • Nuclear Engineering and Technology
    • /
    • v.55 no.6
    • /
    • pp.2172-2194
    • /
    • 2023
  • A variational nodal method (VNM) with unstructured-mesh is presented for solving steady-state and dynamic neutron diffusion equations. Orthogonal polynomials are employed for spatial discretization, and the stiffness confinement method (SCM) is implemented for temporal discretization. Coordinate transformation relations are derived to map unstructured triangular nodes to a standard node. Methods for constructing triangular prism space trial functions and identifying unique nodes are elaborated. Additionally, the partitioned matrix (PM) and generalized partitioned matrix (GPM) methods are proposed to accelerate the within-group and power iterations. Neutron diffusion problems with different fuel assembly geometries validate the method. With less than 5 pcm eigenvalue (keff) error and 1% relative power error, the accuracy is comparable to reference methods. In addition, a test case based on the kilowatt heat pipe reactor, KRUSTY, is created, simulated, and evaluated to illustrate the method's precision and geometrical flexibility. The Dodds problem with a step transient perturbation proves that the SCM allows for sufficiently accurate power predictions even with a large time-step of approximately 0.1 s. In addition, combining the PM and GPM results in a speedup ratio of 2-3.

Static and quasi-static slope stability analyses using the limit equilibrium method for mountainous area

  • Hosung Shin
    • Geomechanics and Engineering
    • /
    • v.34 no.2
    • /
    • pp.187-195
    • /
    • 2023
  • Intensive rainfall during the summer season in Korea has triggered numerous devastating landslides outside of downtown in mountainous areas. The 2D slope stability analysis that is generally used for cut slopes and embankments is inadequate to model slope failure in mountainous areas. This paper presents a new 3D slope stability formulation using the global sliding vector in the limit equilibrium method, and it uses an ellipsoidal slip surface for static and quasi-static analyses. The slip surface's flexibility of the ellipsoid shape gives a lower FS than the spherical failure shape in the Fellenius, Bishop, and Janbu's simplified methods. The increasing sub-columns of each column tend to increase the FS and converge to a steady value. The symmetrical geometric conditions of the convex turning corners do not indicate symmetrical failure of the surface in 3D analysis. Pseudo-static analysis shows that the horizontal seismic force decreases the FS and increases the mass volume at the critical failure state. The stability index takes the FS and corresponding sliding mass into consideration to assess the potential risk of slope failure in complex mountainous terrain. It is a valuable parameter for selecting a vulnerable area and evaluating the overall risk of slope failure.

Analytical Method on PSC I Girder with Strengthening of External Tendon (외부강선으로 보강되는 PSC I 합성거더의 해석 기법)

  • Park, Jae-Guen;Lee, Byeong-Ju;Kim, Moon-Young;Shin, Hyun-Mock
    • Journal of the Korea Concrete Institute
    • /
    • v.20 no.6
    • /
    • pp.697-704
    • /
    • 2008
  • This paper presents an analytical prediction of Nonlinear characteristics of prestressed concrete bridges by strengthened of externally tendon considering construction sequence, using unbonded tendon element and beam-column element based on flexibility method. Unbonded tendon model can represent unbounded tendon behavior in concrete of PSC structures and it can deal with the prestressing transfer of posttensioned structures and calculate prestressed concrete structures more efficiently. This tendon model made up the several nodes and segment, therefore a real tendon of same geometry in the prestressed concrete structure can be simulated the one element. The beam-column element was developed with reinforced concrete material nonlinearities which are based on the smeared crack concept. The fiber hysteresis rule of beam-column element is derived from the uniaxial constitutive relations of concrete and reinforcing steel fibers. The formulation of beam-column element is based on flexibility. Beam-column element and unbonded tendon element were be involved in A computer program, named RCAHEST (Reinforced Concrete Analysis in Higher Evaluation System Technology), that were used the analysis of RC and PSC structures. The proposed numerical method for prestressed concrete structures by strengthened of externally tendon is verified by comparison with reliable experimental results.

Evaluation of Reinforced Concrete Beam's Inelastic Behavior Characteristics using Beam-column Fiber Finite Element considering Shear Deformation Effect (전단변형 효과가 고려된 보-기둥 섬유유한요소를 이용한 철근콘크리트 보의 비탄성 거동특성 평가)

  • Cheon, Ju-Hyun;Hwang, Cheol-Seong;Park, Kwang-Min;Shin, Hyun-Mock
    • Journal of the Korea institute for structural maintenance and inspection
    • /
    • v.21 no.3
    • /
    • pp.130-137
    • /
    • 2017
  • The purpose of this study is to provide a reasonable analytical method for the reinforced concrete beams which shows failure mode of shear and flexure-shear by proposing a modified formulation to consider the effect of shear deformation on the beam-column fiber element based on the flexibility method and a new constitutive law of inelastic shear response history for the section. A total of 6 specimens of reinforced concrete beams which is designed to cause shear failure before yielding longitudinal reinforcement to investigate the influence of the main experimental variables on the shear behavior characteristics and the analysis was performed by using a non-linear finite element analysis program (RCAHEST) applying the newly modified constitutive equation by the authors. The failure mode and the overall behavior characteristics until fracture are predicted appropriately for all specimens and the results are expected to be useful enough for the 3 - D analysis to carry out reliable results of large-scale and complicated structures in the future.

Application of UV Curable Coating for the Surface Protection of Polymeric Materials: PVC and Polystyrene (고분자 물질의 표면 보호를 위한 자외선 경화 도료의 응용)

  • Moon, Myung-Jun;Park, Jin-Hwan;Lee, Gun-Dae;Suh, Cha-Soo;Kim, Jong-Rae
    • Applied Chemistry for Engineering
    • /
    • v.2 no.2
    • /
    • pp.175-184
    • /
    • 1991
  • Ultraviolet curable coatings are often used to protect the surface of polymer materials exposed to the ultraviolet radiation. However, the adhesion of epoxy acrylate on poly(vinyl chloride) and the UV curable coating on polystyren are poor. The objective of this work was to improve the adhesion of coating according to various formulations of the reactive diluents and finishing methods using the photografting of multifunctional acrylate and the surface activation on polymer surface impregnated a phtoinitiator. The addition of Tripropylene glycole diacrlate in the formulation of coating results in the improvement of adhesion of coating due to the flexibility. But the increase of the crosslinking density which results from the oxidation of surface during the exposure of UV radiation caused the loss of adhesion of coating exept the photografting method. In the trimethylolpropane triacrylate the improvement of adhesion are considerable due to the chemical bond between multifundtional acrylate and surface. From this work we expect to achieve the varity and functionality in the formulation of coating according to the photografting and surface activating of polymer.

  • PDF

A Study on Environmental Design Method based on Open Narrative Structure - A Case of Designing of Arirang Culture Park - (열린 내러티브 구조를 이용한 환경설계 방법 연구 - 용산 아리랑 문화공원을 설계사례로 -)

  • 이상경;조경진
    • Journal of the Korean Institute of Landscape Architecture
    • /
    • v.31 no.2
    • /
    • pp.12-27
    • /
    • 2003
  • The purpose of this study is to look for an environmental design method based on open narrative structure, and to promote various experiences and interpretations of space through user's engagements. That is to say, the designer does not lead specific events through separate Boning but using the continuous open composition users are provided with margins for their imaginations. Spatial formulation through open narrative structure gives us various thoughts and it plays an important role in making a sequential space. Like an abstract painting, it is a complex story making or arranging a montage of images containing stories that elicit the reader's engagement through diverse interpretations. Like this, open composition exists in an ambiguous state and it is possible to interpret unfinished‘evolving work’within it. Utilizing open narrative structure, this study attempts to apply the idea of sequencing and open composition in the case of designing Arirang Culture Park. Open composition should induce various engagements by users and could be a medium which organically connects nature, culture and people. The spatial strategies of‘ambiguity’ and‘transparency’are like a bundle of complex and heterogeneous factors. Finally, the study focuses on the ‘integration’of the main ideas that compose multilayered space. ‘Voidness’and‘thickening’are also used for spatial strategies in open narrative structure. As alternative plans for undecided programs of the space, the voidness can be a strategic design program with flexibility about changes of futures. Also, thickening can be a strategic design program for functional reinforcement of the space, for the dramatic effects and for the generation of incidental events. Although both voidness and thickening seem paradoxical, we can see they are similar in the way that both focus on various spatial uses and by how they do not function as one-to-one correspondence, but as multiple correspondences. Therefore, open narrative structure is possible to apply in designing space and it can be an alternative design strategy for inducing multiple interpretations of space.

Development of finite element analysis program and simplified formulas of bellows and shape optimization (벨로우즈에 대한 유한요소해석 프로그램 및 간편식의 개발과 형상최적설계)

  • Koh, Byung-Kab;Park, Gyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.21 no.8
    • /
    • pp.1195-1208
    • /
    • 1997
  • Bellows is a component in piping systems which absorbs mechanical deformation with flexibility. Its geometry is an axial symmetric shell which consists of two toroidal shells and one annular plate or conical shell. In order to analyze bellows, this study presents the finite element analysis using a conical frustum shell element. A finite element analysis is developed to analyze various bellows. The validity of the developed program is verified by the experimental results for axial and lateral stiffness. The formula for calculating the natural frequency of bellows is made by the simple beam theory. The formula for fatigue life is also derived by experiments. The shape optimal design problem is formulated using multiple objective optimization. The multiple objective functions are transformed to a scalar function by weighting factors. The stiffness, strength and specified stiffness are considered as the multiple objective function. The formulation has inequality constraints imposed on the fatigue limit, the natural frequencies, and the manufacturing conditions. Geometric parameters of bellows are the design variables. The recursive quadratic programming algorithm is selected to solve the problem. The results are compared to existing bellows, and the characteristics of bellows is investigated through optimal design process. The optimized shape of bellows is expected to give quite a good guideline to practical design.

A Model for Water Droplet using Metaball in the Gravitation Force (메타볼을 이용한 중력장내의 물방울 모델)

  • Yu, Young Jung;Jeong, Ho Youl;Cho, Hwan Gyu
    • Journal of the Korea Computer Graphics Society
    • /
    • v.4 no.1
    • /
    • pp.79-88
    • /
    • 1998
  • Till now there are several rendering models for water and simulating other fluids and their dynamics. Especially in order to generate a curved surface of flexible objects such as liquid and snow, the implicit metaball formulation is widely used in favor of its simplicity and flexibility. This paper proposes one excellent method for generating water droplets, which would be deformed in gravitation field. In previous works, a water droplet was simply represented by approximated curved surfaces of a symmetric metaball. Thus the final result of the rendered water droplet was far from a realistic droplet, because they do not consider the gravitational effect in droplets. We propose a new metaball model for rendering water droplets placed on an arbitrary surface considering the gravitation and friction between droplet and plate. Our new metaball model uses a new vector field isosurface function to control the basic scalar metaball with respect to the norm of gravitational force. In several experiments, we could render a photo-realistic water droplets with natural-looking shadows by applying ray-tracing.

  • PDF

Inductive Classification of Multi-Spectral Threat Data for Autonomous Situation Awareness (자율적인 상황인식을 위한 다중센서 위협데이타의 귀납적 분류)

  • Jeong, Yong-Woong;Noh, Sang-Uk;Go, Eun-Kyoung;Jeong, Un-Seob
    • Journal of KIISE:Software and Applications
    • /
    • v.35 no.3
    • /
    • pp.189-196
    • /
    • 2008
  • To build autonomous agents who can make a decision on behalf of humans in time-critical complex environments, the formulation of operational knowledge base could be essential. This paper proposes the methodology of how to formulate the knowledge base and evaluates it in a practical application domain. We analyze threat data received from the multiple sensors of Aircraft Survivability Equipment(ASE) for Korean helicopters, and integrate the threat data into the inductive model through compilation technique which extracts features of the threat data and relations among them. The compiled protocols of state-action rules can be implemented as the brain of the ASE. They can reduce the amounts of reasoning, and endow the autonomous agents with reactivity and flexibility. We report experimental results that demonstrate the distinctive and predictive patterns of threats in simulated battlefield settings, and show the potential of compilation methods for the successful detection of threat systems.