• 제목/요약/키워드: Elastic Spring

검색결과 396건 처리시간 0.026초

THE ATTITUDE STABILITY ANALYSIS OF A RIGID BODY WITH MULTI-ELASTIC APPENDAGES AND MULTI-LIQUID-FILLED CAVITIES USING THE CHETAEV METHOD

  • Kuang, Jin-Lu;Kim, Byung-Jin;Lee, Hyun-Woo;Sung, Dan-Keun
    • Journal of Astronomy and Space Sciences
    • /
    • 제15권1호
    • /
    • pp.209-220
    • /
    • 1998
  • The stability problem of steady motion of a rigid body with multi-elastic appendages and multi-liquid-filled cavities, in the presence of no external forces or torque, is considered in this paper. The flexible appendages are modeled as the clamped -free-free-free rectangular plates, or/and as the discrete mass- spring sub-system. The motion of liquid in every single ellipsoidal cavity is modeled as the uniform vortex motion with a finite number of degrees of freedom. Assuming that stationary holonomic constraints imposed on the body allow its rotation about a spatially fixed axis, the equation of motion for such a systematic configuration can be very complex. It consists of a set of ordinary differential equations for the motion of the rigid body, the uniform rotation of the contained liquids, the motion of discrete elastic parts, and a set of partial differential equations for the elastic appendages supplemented by appropriate initial and boundary conditions. In addition, for such a hybrid system, under suitable assumptions, their equations of motion have four types of first integrals, i.e., energy and area, Helmholtz' constancy of liquid - vortexes, and the constant of the Poisson equation of motion. Chetaev's effective method for constructing Liapunov functions in the form of a set of first integrals of the equations of the perturbed motion is employed to investigate the sufficient stability conditions of steady motions of the complete system in the sense of Liapunov, i.e., with respect to the variables determining the motion of the solid body and to some quantities which define integrally the motion of flexible appendages. These sufficient conditions take into account the vortexes of the contained liquids, the vibration of the flexible components, and coupling among the liquid-elasticity solid.

  • PDF

특이점 분포법에 의한 잠수된 방파제의 성능 해석 (A Study on the Performance of a Submerged Breakwater by Using the Singularity Distribution Method)

  • 이동환;최항순
    • 한국해안해양공학회지
    • /
    • 제13권1호
    • /
    • pp.73-79
    • /
    • 2001
  • 본 연구에서는 탄성 지지된 잠수 평판으로 이루어진 방파제의 파랑감쇠 성능을 고찰하였다. 이 방파제는 파랑감쇠를 위하여 입사파, 산란파 그리고 방사파의 위상 상호작용을 이용한다. 유동장을 기술하기 위하여 선형포텐셜 이론을 도입하였으며, 특이점 분포방법을 적용하였다. 잠수된 평판은 강체라고 가정하였으며, 탄성지지는 일정한 탄성계수를 가진 선형 스프링으로 간주하였다. 수치계산을 위하여 직사각형 평판을 고려하였다. 수치해의 안정성을 위하여 영향행렬의 조건수를 조사하여 평판의 두께를 결정하였다. 탄성지지의 강성이 방파제의 성능에 미치는 영향을 살펴보았다. 한편 잠수 깊이가 파랑감쇠에 미치는 영향을 조사하였다. 계산결과에 의하면 방파제의 공진 진동수가 입사파의 진동수보다 약간 작게 설정되어야 파랑감쇠가 최대로 일어남을 확인하였다.

  • PDF

Bending analysis of nano-SiO2 reinforced concrete slabs resting on elastic foundation

  • Mohammed, Chatbi;Baghdad, Krour;Mohamed A., Benatta;Zouaoui R., Harrat;Sofiane, Amziane;Mohamed Bachir, Bouiadjra
    • Structural Engineering and Mechanics
    • /
    • 제84권5호
    • /
    • pp.685-697
    • /
    • 2022
  • Nanotechnology has become one of the interesting technique used in material science and engineering. However, it is low used in civil engineering structures. The purpose of the present study is to investigate the static behavior of concrete plates reinforced with silica-nanoparticles. Due to agglomeration effect of silica-nanoparticles in concrete, Voigt's model is used for obtaining the equivalent nano-composite properties. Furthermore, the plate is simulated mathematically with higher order shear deformation theory. For a large use of this study, the concrete plate is assumed resting on a Pasternak elastic foundation, including a shear layer, and Winkler spring interconnected with a Kerr foundation. Using the principle of virtual work, the equilibrium equations are derived and by the mean of Hamilton's principle the energy equations are obtained. Finally, based on Navier's technique, closed-form solutions of simply supported plates have been obtained. Numerical results are presented considering the effect of different parameters such as volume percent of SiO2 nanoparticles, mechanical loads, geometrical parameters, soil medium, on the static behavior of the plate. The most findings of this work indicate that the use of an optimum amount of SiO2 nanoparticles on concretes increases better mechanical behavior. In addition, the elastic foundation has a significant impact on the bending of concrete slabs.

변환요소에 따른 LOOPED WIRE의 탄성 변화에 관한 연구 (A STUDY ON THE CHANGES OF THE ELASTIC PROPERTIES TN LOOPED WIRES BY VARIABLE FACTORS)

  • 나용인;김상철
    • 대한치과교정학회지
    • /
    • 제25권3호
    • /
    • pp.263-271
    • /
    • 1995
  • Canine retraction spring과 같은 looped wire에서, 각 변환요소에 따라 변하는 탄성 정도를 알아보기 위하여, wire의 재료, 굵기, loop에 소요된 길이, loop의 모양, gabling의 여부 등 5가지의 변환요소를 설정하여, 각 wire activation시의 탄성을 range, force, stiffness등의 면에서 알아보고자 하였다. wire의 재료적인 면에서 Hi-T (Unitek Co.)와 blue Elgiloy (Rocky Mountain Orthodontics)를 선택하였으며, 굵기로는 .016"$\;\times\;$.022" 와 .018"$\;\times\;$.025"를 선택하였다. loop 자체에 소요된 wire 길이를 15mm와 20mm의 두가지로, loop의 모양을 vertical open loop과 vertical closed loop의 두가지로, gabling의 양을 $0\circ$$30\circ$의 두가지로 하여 각각 제작하였다. 따라서 wire의 재료와 굵기, loop의 길이와 모양, gabling의 5가지 변환요소에 따라 32개군으로 구분되었으며, 각 군의 시료수는 8개씩으로, 총 256개의 시료를 대상으로 하였다. Instron(4202, Instron Co, USA)을 사용하여 각 시료의 하중변형 곡선을 얻었으며 elastic limit에서의 하중과 변형을 계측하고, 그때의 stiffness(force/range)를 산출하여, ANOVA 등의 통계처리로 32개군 간의 상관성을 조사하였다. 그 결과 wire의 재료, 굵기, loop의 길이, 모양, gabling모두가 looped wire의 하중 변형도에 유의한 영향을 미치는 것을 관찰할 수 있었으며, 탄성범위에서의 force는 Hi-T, .016"$\;\times\;$.022", loop 길이 20mm, open loop, non-gable군에서 가장 적었으며, blue Elgiloy, .018"$\;\times\;$.025", loop 길이 15mm, closed loop, non-gable군에서 가장 컸다. 탄성범위에서의 range는 Hi-T, .018"$\;\times\;$.025", loop길이 15mm, open loop, non-gable군이 가장 적었으며, Hi-T, .016"$\;\times\;$.022", loop길이 20mm, closed loop, gable군에서 가장 컸다. 또한 Looped wire의 탄성에 가장 큰 영향을 미치는 변환요소는 loop의 모양과 길이였으며, gabling의 영향이 가장 적었다.

  • PDF

고속철도교 신축부의 진동 및 신축의 효율적인 저감 방안 (Effective Methods Reducing Joint Vibration and Elongation in High speed Rail Bridge)

  • 민경주;강태구;임남형
    • 한국철도학회:학술대회논문집
    • /
    • 한국철도학회 2011년도 정기총회 및 추계학술대회 논문집
    • /
    • pp.800-806
    • /
    • 2011
  • Thermal expansion which occurs at the high speed rail joint is proportional to the free length from the point of fixity. This thermal expansion behaves similar to free expansion because the girder longitudinal stiffness is much larger than longitudinal resistance of rail pads. But the longitudinal displacement in the long rail is nominal because the longitudinal support condition of the girder is normally MFM(movable-fix-movable) system. Due to these girder expansion characteristics, there is longitudinal relative displacement at the rail pad and rail fastener spring which connects rail and girder. If the relative displacement between rail and girder is beyond the elastic limit for the rail pad, rail fastener system shall be applied using sliding fastener to prevent rail pad damage and fastener separation resulting from slip. On the other hand, train vertical vibration and tilting can occur due to the lack of fastener vertical force if the sliding fastener is applied at the girder joint. In the high speed rail bridge, vibration can occur due to the spring stiffness of the elastomeric bearing, also both vertical downward and upward displacement can occur. The elastomeric bearing vertical movement can cause rail displacement and finally the stability of the ballast is reduced because the gravel movement is induced.

  • PDF

Size-dependent buckling behaviour of FG annular/circular thick nanoplates with porosities resting on Kerr foundation based on new hyperbolic shear deformation theory

  • Sadoughifar, Amirmahmoud;Farhatnia, Fatemeh;Izadinia, Mohsen;Talaeetaba, Sayed Behzad
    • Structural Engineering and Mechanics
    • /
    • 제73권3호
    • /
    • pp.225-238
    • /
    • 2020
  • This work treats the axisymmetric buckling of functionally graded (FG) porous annular/circular nanoplates based on modified couple stress theory (MCST). The nanoplate is located at the elastic medium which is simulated by Kerr foundation with two spring and one shear layer. The material properties of the porous FG nanostructure are assumed to vary through the nanoplate thickness based on power-law rule. Based on two variables refined plate theory, the governing equations are derived by utilizing Hamilton's principle. Applying generalized differential quadrature method (GDQM), the buckling load of the annular/circular nanoplates is obtained for different boundary conditions. The influences of different involved parameters such as boundary conditions, Kerr medium, material length scale parameter, geometrical parameters of the nanoplate, FG power index and porosity are demonstrated on the nonlinear buckling load of the annular/circular nanoplates. The results indicate that with increasing the porosity of the nanoplate, the nonlinear buckling load is decreased. In addition, with increasing the material length scale parameter to thickness ratio, the effect of spring constant of Kerr foundation on the buckling load becomes more prominent. The present results are compared with those available in the literature to validate the accuracy and reliability. A good agreement is observed between the two sets of the results.

A modified RBSM for simulating the failure process of RC structures

  • Zhao, Chao;Zhong, Xingu;Liu, Bo;Shu, Xiaojuan;Shen, Mingyan
    • Computers and Concrete
    • /
    • 제21권2호
    • /
    • pp.219-229
    • /
    • 2018
  • In this paper, a modified rigid body spring model (RBSM) is proposed and used to analyze the damage and failure process of reinforced concrete (RC) structures. In the proposed model, the concrete is represented by an assembly of rigid blocks connected with a uniform distribution of normal and tangential springs to simulate the macroscopic mechanical behavior of concrete. Steel bars are evenly dispersed into rigid blocks as a kind of homogeneous axial material, and an additional uniform distribution of axial and dowel springs is defined to consider the axial stiffness and dowel action of steel bars. Perfect bond between the concrete and steel bars is assumed, and tension stiffening effect of steel bars is modeled by adjusting the constitutive relationship for the tensile reinforcement. Adjacent blocks are allowed to separate at the contact interface, which makes it convenient and easy to simulate the cracking process of concrete. The failure of the springs is determined by the Mohr-Coulomb type criterion with the tension and compression caps. The effectiveness of the proposed method is confirmed by elastic analyses of a cantilever beam under different loading conditions and failure analyses of a RC beam under two-point loading.

철도교량 단부 상향력 해석을 위한 체결장치의 실험적 연구 (An Experimental Study of Fastening System for Analysis of Rail Uplifting on Railway Bridge Ends)

  • 김정훈;임남형;최상현;강영종
    • 한국방재학회:학술대회논문집
    • /
    • 한국방재학회 2007년도 정기총회 및 학술발표대회
    • /
    • pp.307-311
    • /
    • 2007
  • In the case of the railway bridges, uplift forces were occurred at the edge of the segments when vehicular loads were applied. These forces made the compressive and tensile forces occur in the fastening system. Therefore, the structural analysis was performed to investigate the safety of fastening system which was modeled as one directional spring element. In this case, the stiffness of the spring element was obtained from experimental study which was conducted by compressive load. For that reason, to perform rational and exact structural analysis, the translational stiffness of the fastening system obtained from the experimental study applied the tensile load and the rotational stiffness should be considered because it was occurred the tensile force as well as the compressive force in fastening system. In this study, an elastic and inelastic experimental study was performed for six specimens. The translational stiffness along the vertical axis of rail and the rotational stiffness along the strong axis of rail were investigated. Also structural behavior of the fastening system was analyzed.

  • PDF

Analysis on the Operational Characteristics of the Combined Generation System with Power Storage Apparatus that Apply Microcontroller

  • Lim, Jung-Yeol;Yoon, Seok-Am;Cha, In-Su
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
    • /
    • 제12B권1호
    • /
    • pp.24-30
    • /
    • 2002
  • The developments of the solar and the wind power energy are necessary since the future alternative, energies that have no pollution and no limitation are restricted. Currently power generation system of MW scale has been developed, but it still has a flew faults with the weather condition. In order to solve these existing problem combined generation system of photovoltaic(400W) and wind power generation system(400W) was suggested. It combines wind power and solar energy to have the supporting effect from each other. However, since even combined generation system cannot always generate stable output with ever-changing weather condition, power storage apparatus that uses elastic energy of spiral spring to combined generation system was also added far the present study. In an experiment, when output of combined generation system gets lower than 12V(charging voltage), power was continuously supplied to load through the inverter by charging energy obtained from generating rotary energy of spiral spring operates in small scale generator.

소모직물의 구조적 특성 및 표면특성이 주관적 감각에 미치는 영향 -여성춘추용 수트 직물을 중심으로- (Effect of Structure and Surface Characteristics of worsted Wool Fabrics on the Subjective Hand - Women's Spring -Fall Suit Fabrics -)

  • 김동옥;최원경;김은애
    • 한국의류학회지
    • /
    • 제26권2호
    • /
    • pp.355-363
    • /
    • 2002
  • The purpose of this study was to investigate how the weave type, yarn twist fabric count and fiber content of the worsted fabrics affect the subjective sensation of the hand. Thirty worsted fabrics that were mainly used for the spring and fall ladies'suits at national brands were selected. Variables were such as four different kinds of weave types, plain, twill, satin and decorative; two levels of yarn twist, normal and high; various fabric counts; two different fiber contents, pure wool and Lycra contained. Image analysis and wavelet transform techniques were used to quantify the surface fiber, For surface characteristics, MIU, MMD and SMD were measured by KES-FB system. The Questionnaires with 23 adjectives were used for the subjective hand evaluation. Panels were So specialists of fashion or fabric designers and merchandizers. By Factor Analysis, six factors that represent the subjective hand were extracted. The relationship between these factors and structural variables were analyzed. Yarn twist was significantly related to the surface characteristics and resilience. Weave structure affected surface characteristics, volume/warm-cool feeling and resilience. Fabric counts showed relations with volume/warm-cool feeling and the fiber contents with volume/warm-cool feeling, resilience and elastic properties. MIU, MMD and SMD showed no relations with the surface fibers. Subjective sensation of surface characteristics was affected by SMD and surface fibers.