• 제목/요약/키워드: bending problem

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Analytical solutions for buckling of simply supported rectangular plates due to non-linearly distributed in-plane bending stresses

  • Jana, Prasun;Bhaskar, K.
    • Structural Engineering and Mechanics
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    • 제26권2호
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    • pp.151-162
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    • 2007
  • Rigorous analytical solutions are obtained for the plane stress problem of a rectangular plate subjected to non-linearly distributed bending loads on two opposite edges. They are then used in a Galerkin type solution to obtain the corresponding convergent buckling loads. It is shown that the critical bending moment depends significantly on the actual edge load distribution and further the number of nodal lines of the buckled configuration can also be different from that corresponding to a linear antisymmetric distribution of the bending stresses. Results are tabulated for future use while judging approximate numerical solutions.

지대공 유도탄 기체진동 제거를 위한 강인 벤딩 주파수 추정필터 (A Robust Bending Frequency Estimator for SAM Application)

  • 나원상;송찬호
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 하계학술대회 논문집 D
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    • pp.2152-2154
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    • 2004
  • A robust bending frequency tracker is proposed to design the adaptive notch filter which removes the time-varying missile structural mode from the sensor measurements. To design the bending frequency tracker, firstly, the signal model is derived from the input-output relationship of Nehorai notch filter structure. Also, the time-varying nature of the bending frequency is modelled as the norm-bounded uncertainty. Based on the uncertain signal model, it is shown that the design problem of robust bending frequency tracker can be casted into that of adaptive robust $H_{\infty}$ filter or equivalently robust LMS filter.

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Analytical studies on stress concentration due to a rectangular small hole in thin plate under bending loads

  • Yang, Y.;Liu, J.K.;Cai, C.W.
    • Structural Engineering and Mechanics
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    • 제36권6호
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    • pp.669-678
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    • 2010
  • In general means, the stress concentration problem of elastic plate with a rectangular hole can be investigated by numerical methods, and only approximative results are derived. This paper deduces an analytical study of the stress concentration due to a rectangular hole in an elastic plate under bending loads. Base on classical elasticity theory and FEM applying the U-transformation technique, the uncoupled governing equations with 3-DOF are established, and the analytical displacement solutions of the finite element equations are derived in series form or double integral form. Therefore, the stress concentration factor can then be discussed easily and conveniently. For the plate subjected to unidirectional bending loads, the non-conforming plate bending element with four nodes and 12-DOF is taken as examples to demonstrate the application of the proposed method. The inner force distribution is obtained. The solutions are adequate for the condition when the hole is far away from the edges and the thin plate subjected to any transverse loadings.

Rationally modeling collapse due to bending and external pressure in pipelines

  • Nogueira, Andre C.
    • Earthquakes and Structures
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    • 제3권3_4호
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    • pp.473-494
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    • 2012
  • The capacity of pipelines to resist collapse under external pressure and bending moment is a major aspect of deepwater pipeline design. Existing design codes present interaction equations that quantify pipeline capacities under such loadings, although reasonably accurate, are based on empirical data fitting of the bending strain, and assumed simplistic interaction with external pressure collapse. The rational model for collapse of deepwater pipelines, which are relatively thick with a diameter-to-thickness ratio less than 40, provides a unique theoretical basis since it is derived from first principles such as force equilibrium and compatibility equations. This paper presents the rational model methodology and compares predicted results and recently published full scale experimental data on the subject. Predictive capabilities of the rational model are shown to be excellent. The methodology is extended for the problem of pipeline collapse under point load, longitudinal bending and external pressure. Due to its rational derivation and excellent prediction capabilities, it is recommended that design codes adopt the rational model methodology.

노년여성(老年女性) 숙인체형(體型)의 저고리 원형(原型)에 관(關)한 연구(硏究) (A Study on the Pattern of Hanbok Jegory for Bending Somatotyped Women in Old Age)

  • 남윤자;한승희
    • 패션비즈니스
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    • 제8권4호
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    • pp.22-32
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    • 2004
  • The purpose of this research is to know the pattern of Hanbok Jegory with measuring Jegory and studying manufacturing method of the Jegory used currently. It is a purpose to find constitutional problem caused by the character of the bending somatotype and, to study the standard model of the Jegory for bending somatotyped women in old age, by comparison of this fitness for bending-somatotyped women in old age. The results obtained are as follows; 1. The kinds of measurements considered in manufacturing process are Hwajang Length, Bust girth, and the skirt length. The length of Jegory and width of Neck are also considered. 2. Manufacturers consider somatotype the most important thing when they make Jegory for women in old age. Front length, Back length and Width of the Jegory are considered secondly important. 3. The results of the comparison show that the Standard Hanbok drafting method is not suitable for drafting Jegory for bending somatotyped women in old age. 4. The suitability test for the model designed by the above methods shows that it fits in bending somatotyped women in old age better than standard drafting method. The results show the superiority of the above methods especially in the breast width, the Godae length, and the adaptedness to the body.

Inertia Force Problem and Nozzle Contact Mechanism of Linear Motor Drive Injection Molding Machine

  • Bang, Young-Bong;Susumu Ito
    • International Journal of Precision Engineering and Manufacturing
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    • 제4권5호
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    • pp.34-40
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    • 2003
  • This paper presents the inertial force problem of ultrahigh-speed injection molding machine using linear motors, and presents its solutions. To make very thin products by injection molding, very high injection speed is required, and linear motors are used for this purpose. However, direct drive by linear motors may cause brief nozzle separation from the sprue bushing because of the inertia force which is as large as the total output thrust of the linear motors, and this momentary separation can cause molten plastic to leak. In this paper, two solutions are proposed for this inertia force problem. One is the mechanical cancellation of the inertia force, and the other is to increase the nozzle contact force. With the latter solution, the stationary platen bending worsens, so a new nozzle contact mechanism is also proposed, which can prevent the stationary platen bending.

리니어모터식 사출성형기의 반력문제 및 노즐터치기구 (Inertia Force Problem and Nozzle Contact Mechanism on Linear Motor Drive Injection Molding Machine)

  • 방영봉;윤등진
    • 한국정밀공학회지
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    • 제19권10호
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    • pp.171-177
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    • 2002
  • This paper presents the inertial force problem of ultrahigh-speed injection molding machine using linear motors, and presents its solutions. To make very thin products by injection molding, very high injection speed is required, and linear motors are used for this purpose. But direct drive by linear motors may cause brief nozzle separation from the sprue bushing because of the inertia force as large as the total output thrust of the linear motors, and this momentary separation can cause molten plastic leakage. In this paper, two solutions are proposed for this inertia force problem. One is the mechanical cancellation of the inertia force, and the other to increase the nozzle contact force. With the latter solution, the stationary platen bending worsens, so a new nozzle contact mechanism is also proposed, which can prevent the stationary platen bending.

균일단면 선박의 유탄성 수직응답에 대한 해석해 (Exact Solution on the Vertical Hydro-elastic Responses of Ships having Uniform Sectional Properties)

  • 박인규;정종진
    • 대한조선학회논문집
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    • 제41권2호
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    • pp.47-54
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    • 2004
  • Exact solution on the vertical responses of ships having uniform sectional properties in waves is derived. Boundary value problem consisted of Timoshenko beam equation and free-free end condition is solved analytically. The responses are assumed as linear and wave loads are calculated by using strip method. Vertical bending moment, shear force and deflection are calculated. The developed analysis model is used for the benchmark test of the numerical codes in this problem. Also the application on the preliminary design of barge-like ships and VLFS (Very Large Floating Structure) is expected.

Axisymmetric bending of a circular plate with stiff edge on a soft FGM layer

  • Volkov, Sergey S.;Litvinenko, Alexander N.;Aizikovich, Sergey M.;Wang, Yun-Che;Vasiliev, Andrey S.
    • Structural Engineering and Mechanics
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    • 제59권2호
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    • pp.227-241
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    • 2016
  • A circular plate with constant thickness, finite radius and stiff edge lying on an elastic halfspace is considered. The half-space consists of a soft functionally graded (FGM) layer with arbitrary varying elastic properties and a homogeneous elastic substrate. The plate bends under the action of arbitrary axisymmetric distributed load and response from the elastic half-space. A semi-analytical solution for the problem effective in whole range of geometric (relative layer thickness) and mechanical (elastic properties of coating and substrate, stiffness of the plate) properties is constructed using the bilateral asymptotic method (Aizikovich et al. 2009). Approximated analytical expressions for the contact stresses and deflections of the plate are provided. Numerical results showing the qualitative dependence of the solution from the initial parameters of the problem are obtained with high precision.

System identification of high-rise buildings using shear-bending model and ARX model: Experimental investigation

  • Fujita, Kohei;Ikeda, Ayumi;Shirono, Minami;Takewaki, Izuru
    • Earthquakes and Structures
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    • 제8권4호
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    • pp.843-857
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    • 2015
  • System identification is regarded as the most basic technique for structural health monitoring to evaluate structural integrity. Although many system identification techniques extracting mode information (e.g., mode frequency and mode shape) have been proposed so far, it is also desired to identify physical parameters (e.g., stiffness and damping). As for high-rise buildings subjected to long-period ground motions, system identification for evaluating only the shear stiffness based on a shear model does not seem to be an appropriate solution to the system identification problem due to the influence of overall bending response. In this paper, a system identification algorithm using a shear-bending model developed in the previous paper is revised to identify both shear and bending stiffnesses. In this algorithm, an ARX (Auto-Regressive eXogenous) model corresponding to the transfer function for interstory accelerations is applied for identifying physical parameters. For the experimental verification of the proposed system identification framework, vibration tests for a 3-story steel mini-structure are conducted. The test structure is specifically designed to measure horizontal accelerations including both shear and bending responses. In order to obtain reliable results, system identification theories for two different inputs are investigated; (a) base input motion by a modal shaker, (b) unknown forced input on the top floor.