• Title/Summary/Keyword: Shear mode

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Free vibration analysis of a Timoshenko beam carrying multiple spring-mass systems with the effects of shear deformation and rotary inertia

  • Wang, Jee-Ray;Liu, Tsung-Lung;Chen, Der-Wei
    • Structural Engineering and Mechanics
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    • v.26 no.1
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    • pp.1-14
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    • 2007
  • Because of complexity, the literature regarding the free vibration analysis of a Timoshenko beam carrying "multiple" spring-mass systems is rare, particular that regarding the "exact" solutions. As to the "exact" solutions by further considering the joint terms of shear deformation and rotary inertia in the differential equation of motion of a Timoshenko beam carrying multiple concentrated attachments, the information concerned is not found yet. This is the reason why this paper aims at studying the natural frequencies and mode shapes of a uniform Timoshenko beam carrying multiple intermediate spring-mass systems using an exact as well as a numerical assembly method. Since the shear deformation and rotary inertia terms are dependent on the slenderness ratio of the beam, the shear coefficient of the cross-section, the total number of attachments and the support conditions of the beam, the individual and/or combined effects of these factors on the result are investigated in details. Numerical results reveal that the effect of the shear deformation and rotary inertia joint terms on the lowest five natural frequencies of the combined vibrating system is somehow complicated.

A Study on the Flexural and Shear Behavior of Repaired and Rehabilitated RC Beams (보수$\cdot$보강된 철근콘크리트 보의 휨 및 전단 거동에 관한 연구)

  • 김태봉;이재범;류택은
    • Journal of the Korean Society of Safety
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    • v.14 no.1
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    • pp.129-140
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    • 1999
  • This study presents test results of RC beams strengthened by steel plates, carbon fiber sheets(CFS) and aramid fiber sheets(AFS) for increasing flexural and shear resistance. The test was performed with different parameters including the type of strengthening materials, flexural-strengthening methods and shear-strengthening methods. In case of flexural test, RC beams are initially loaded to 70% of the ultimate flexural capacity and in case of shear test loaded to 60 or 80 percent of the ultimate shear capacity and subsequently reinforced with steel plates, CFS and AFS. Experimental data on strength, steel strain, deflection, and mode of failure of the reinforced beams were obtained, and comparisons between the different shear reinforced schemes and the non-strengthened control beams were made. The test results showed that damaged RC beams strengthened by steel plates, CFS and AFS have more improved the flexural and shear capacity. For the beams with external reinforcement by steel plates, aramid fiber sheets and carbon fiber sheets increases in ultimate strength of 4 to 21, 17 to 43 and 26 to 36 percent were respectively achieved. Initial load had small effect on strength after reinforcement, but an important influence on deflection. One sheet reinforced was stronger than two sheets reinforced but less deflected than two sheets reinforced.

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Modelling of Shear Localisation in Geomaterials

  • Lee, Jun-Seok;Pan
    • Geotechnical Engineering
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    • v.13 no.3
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    • pp.21-32
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    • 1997
  • In this paper, an enhanced finite element model based on homogenisation technique is proposed to capture the localized failure mode of the intact rock masses. For this, bifurcation analysis at the element level is performed and, once the bifurcation is detected, equivalent material properties of the shear band and neighbouring intact rock are used to trace the post -peak behaviour of the material. It is demonstrated that mesh sensitivity of the strain softening model is overcome and progressive failure mode of rock specimen can be simulated relaistically. Furthermore, the numerical results show that the crack propagation and final failure mode can be captured with relatively coarse meshes and compares well with the experimental data available.

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TWO- AND THREE-DIMENSIONAL SUPERSONIC TURBULENT FLOW OVER A SINGLE CAVITY (단일 공동 주위의 2차원 및 3차원 초음속 난류 유동 분석)

  • Woo C. H.;Kim J. S.
    • Journal of computational fluids engineering
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    • v.10 no.4 s.31
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    • pp.51-58
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    • 2005
  • The unsteady supersonic flow over two- and three-dimensional cavities has been analyzed by the integration of unsteady Reynolds-Averaged Navier-Stokes(RANS) with the k-$\omega$ turbulence model. The unsteady flow is characterized by the periodicity due to the mutual relation between the shear layer and the internal flow in the cavity. An explicit 4th order Runge-Kutta scheme and an upwind TVD scheme based on the flux vector split with the van Leer limiters are used for time and space discritizations, respectively. The cavity has a L/D ratio of 3 for two-dimensional case, and same L/D and W/D ratio of I for three-dimensional case. The Mach and Reynolds numbers are 1.5 and 450000 respectively. In the three-dimensional flow, the field is observed to oscillate in the 'shear layer mode' with a feedback mechanism that follows Rossiter's formula. In the two-dimensional simulation, the self-sustained oscillating flow has more violent fluctuation inside the cavity. The primary fluctuating frequencies of two- and three- dimensional flow agree very well with the 2nd mode of Rossiter's frequency. In the three-dimensional flow, the 1st mode of frequency could be seen.

Effect of Hysteresis on Interface Waves in Contact Surfaces

  • Kim, Noh-Yu;Yang, Seung-Yong
    • Journal of the Korean Society for Nondestructive Testing
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    • v.30 no.6
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    • pp.578-586
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    • 2010
  • This paper describes a theoretical model and acoustic analysis of hysteresis of contacting surfaces subject to compression pressure. Contacting surfaces known to be nonlinear and hysteretic is considered as a simple spring that has a complex stiffness connecting discontinuous displacements between two solid contact boundaries. Mathematical formulation for 1-D interfacial wave propagation between two contacting solids is developed using the complex spring model to derive the dispersion relation between the interface wave speed and the complex interfacial stiffness. Existence of the interface wave propagating along the hysteretic interface is studied in theory and discussed by investigating the solution to the dispersion equation. Unlike the linear interface without hysteresis, there can exist only one distinct mode of interface waves for the hysteretic interface, which is anti-symmetric motion. The anti-symmetric mode of interface wave propagates with the velocity faster than the Rayleigh surface wave but less than the shear wave depending on the interfacial stiffness. If the contacting surfaces are compressed so much that the linear interfacial stiffness is very high, the hysteretic stiffness does not affect the interface wave velocity. However, it has an effect on the speed of interface wave for a loosely contact surfaces with a relatively low linear stiffness. It is also found that the phase velocity of anti-symmetric wave mode converges to the shear wave velocity in despite of the linear stiffness value if the hysteretic stiffness approaches 0.5.

Extracting Modal Parameters of a Layered Stone Pagoda Using TDD Technique (TDD 기법을 이용한 적층식 석탑의 동특성 추출)

  • Kim, Byeong Hwa;Moon, Dae Joong;Lee, Do Hyung
    • Journal of the Earthquake Engineering Society of Korea
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    • v.19 no.3
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    • pp.103-108
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    • 2015
  • This work introduces a modal testing and analysis results of the mock-up for a layered stone pagoda. The pagoda has been horizontally excited by an impact hammer. As to the measured acceleration time responses, the first five lower mode shapes and natural frequency are extracted by the TDD technique. It is observed that the time delay of a shear wave occurs through friction surfaces. Such phenomena cannot be described by using the traditional analytical models such as a continuum cantilever beam model or a discrete shear building model. However, the time delay typically affects only the phases of the pagoda system. The frequencies of the pagoda system are not affected by such time delay. It is found in the first time that the layered stone pagoda system has a set of closely placed modes in near of natural frequency. It is believed that such modes are due to the friction characteristics in friction surfaces. Based on the stick-slip friction model, it seems that the one of the closely placed mode can be a self-excited one.

Effects of ultrasonic instrumentation with different scaler-tip angulations on the shear bond strength and bond failure mode of metallic orthodontic brackets

  • Bonetti, Giulio Alessandri;Parenti, Serena Incerti;Ippolito, Daniela Rita;Gatto, Maria Rosaria;Checchi, Luigi
    • The korean journal of orthodontics
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    • v.44 no.1
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    • pp.44-49
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    • 2014
  • Objective: To evaluate the effects of ultrasonic instrumentation with different scaler-tip angulations on the shear bond strength (SBS) and bond failure mode of metallic orthodontic brackets. Methods: Adhesive pre-coated metallic brackets were bonded to 72 extracted human premolars embedded in autopolymerizing acrylic resin. The teeth were randomly divided into 3 groups (n = 24 each) to undergo no treatment (control group) or ultrasonic instrumentation with a scaler-tip angulation of $45^{\circ}$ ($45^{\circ}$-angulation group) or $0^{\circ}$ ($0^{\circ}$-angulation group). SBS was tested in a universal testing machine, and adhesive remnant index (ARI) scores were recorded. The Kruskal-Wallis test and Mann-Whitney U-test were used for statistical analysis. Results: The control group had a significantly higher mean SBS value than the treated groups, which showed no significant differences in their mean SBS values. The ARI scores were not significantly different among the groups. Conclusions: Ultrasonic instrumentation around the bracket base reduces the SBS of metallic orthodontic brackets, emphasizing the need for caution during professional oral hygiene procedures in orthodontic patients. The scaler-tip angulation does not influence the SBS reduction and bond failure mode of such brackets.

Method to measure $K_ I$,$K_ I1$ and J-integral for CTS specimen under mixed mode loading (혼합모드 하중을 받는 CTS 시험편에서 $K_ I$,$K_ I1$ 와 J-적분의 측정방법)

  • Hong, K.J;Kang, K.J
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.11
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    • pp.3498-3506
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    • 1996
  • A loading device to be used in fracture experiment is presented. It's loading angle can be adjusted from $-45^{\circ}$ to $105^{\circ}$ at intervals of $15^{\circ}$ for a CTS ( compact tension-shear) specimen, so that it is to be useful to measure mixed mode toughness. The equations to give the $K_ I$, $K_ I1$ and J-integral for the experiment are evluated though finite elemetn analysis in which the loading procedure is simulated and the behaviors of the specimen such as load-displacement curve are estimated. In the course of the evaluation the values $K_ I$, $K_ I1$ and J-integral calculated through recentrly released numerical methods are employed as the reference ones.

An Experimental Study on Structural Behavior of Bolted Angle Connections with Austenitic Stainless Steel (오스테나이트계 스테인레스강(STS304) 앵글 볼트 접합부의 구조적 거동에 관한 실험적 연구)

  • Kim, Min-Seong;Kim, Tae-Soo;Kim, Seung-Hun;Lee, Yong-Taeg
    • Journal of Korean Society of Steel Construction
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    • v.23 no.1
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    • pp.29-39
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    • 2011
  • With regard to steel construction, many studies have been performed to examine the structural behavior of the bolted connections domestically and in other countries. Especially, a domestic study was conducted on the block shear fracture and shear lag effect on the single-bolted angle connection in carbon steel. In this study, specimens were prepared with the end distance parallel to the loading direction and bolt arrangement ($1{\times}1$, $1{\times}2$), as the main variables. Then the fracture mode and the curling effect on the bolted angle connection in austenitic stainless steel were investigated. Moreover, the fracture mode and ultimate strength were compared, and the strength reduction by curling was estimated.

Joint Characteristics of Spot Friction Stir Welded A 5052 Alloy Sheet (마찰교반 점용접한 A 5052 알루미늄 합금판재의 접합부 특성)

  • Yeon, Yun-Mo;Lee, Won-Bae;Lee, Chang-Yong;Jung, Seung-Boo;Song, Keun
    • Journal of Welding and Joining
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    • v.24 no.1
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    • pp.71-76
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    • 2006
  • In this study, the microstructure and mechanical properties of spot friction stir welded A 5052 alloy were investigated. Especially, the effect of insertion depth of welding tool on microstructural changes and mechanical properties was investigated in order to obtain the optimum spot friction stir welding condition. The lap shear load of spot friction stir welded A 5052 alloy plates showed lower value at the shallowest insertion depth and increased with tool insertion depth. At 1.6mm, the maximum value of 3.35 kN was obtained, and then dropped to lower load when the insertion depth was deeper. Spot friction stir welded joints showed shear fracture mode at shallower insertion depths and fracture mode changed to plug fracture mode as the insertion depth was deeper.