• Title/Summary/Keyword: anti-symmetric

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Finite Element Simulation of Elastic Waves for Detecting Anti-symmetric Damages in Adhesively-Bonded Single Lap Joint (단면 겹치기 접착 조인트에 존재하는 비대칭 결함 탐지를 위한 탄성파 유한요소 시뮬레이션)

  • Woo, Jin-Ho;Na, Won-Bae
    • Journal of Ocean Engineering and Technology
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    • v.23 no.6
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    • pp.124-130
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    • 2009
  • This study presents a finite element simulation of elastic waves for detecting anti-symmetric damages in an adhesively-bonded single lap joint. Plane strain elements were used for modeling adherents (aluminum) and adhesives (epoxy). Three types of damage were introduced: thickness reduction, elasticity deterioration, and voids in the adhesive layers, and two excitation and reception arrangements (ER1 and ER2) were used to investigate the detectability of the damage. The simulation showed that symmetrically located damage, such as a thickness reduction, can be detected by one excitation and one reception arrangement (ER1) and anti-symmetric damages, such as elasticity deterioration and voids, can be detected by modified two-point elastic wave excitation (ER2). Compared with the ER1 arrangement, the ER2 arrangement does not require a baseline signal for damage detection; hence, an efficient method of anti-symmetric damage detection in an adhesively-bonded single lap joint is proposed.

Sufficient Conditions for Fully Orthotropic Stacking Sequences (완전 직교이방성 적층순서에 대한 충분조건)

  • Lee, Jong-Won;Kim, Jin-Won
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.28-32
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    • 2007
  • Sufficient Conditions are proposed herein for analytically obtaining fully orthotropic (A16=A26=0, Bij=0, D16=D26=0) laminate stacking sequences together with a brief literature survey. A number of specially chosen anti-symmetric balanced stacking sequences are analytically studied, in which all coupling stiffnesses including B16 and B26 are identically zero. Those specially chosen anti-symmetric balanced stacking sequences are then arranged symmetrically with respect to the laminate mid-plane to obtain a number of symmetric stacking balanced stacking sequences of which the elastic stiffnesses are fully orthotropic.

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A Study on The Driving Characteristics of Ultrasonic Linear Motor Using Symmetric And Anti-Symmetirc Resonance Modes (대칭-비대칭 공진모드를 이용한 초음파 리니어 모터의 구동특성 연구)

  • Choi, Myeong-Il;Bae, Seok-Myeong;Park, Tae-Gone
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.11
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    • pp.1962-1966
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    • 2007
  • Transducer for ultrasonic linear motor with the symmetric and anti-symmetric modes was studied. The ultrasonic linear motor consists of two Langevin type piezoelectric vibrators that cross at right angles with each other in tip. In order to excite symmetric and anti-symmetric resonance modes, the transducer must have a phase shift of 90 degree in space and time. Therefore, the tip of transducer moves on an elliptical motion. In this paper, the finite element analysis was used to optimize dimension and displacement of the transducer. The ultrasonic motor was fabricated using the simulated result and the driving characteristics were measured. No-load velocity was 0.28[m/s] and the maximum efficiency was 30[%] in resonance frequency.

A Method of Lamb-Wave Modes Decomposition for Structural Health Monitoring (구조물 건전성 모니터링을 위한 Lamb파 모드 구별법)

  • Jun, Yong-Ju;Park, Il-Wook;Lee, U-Sik
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.8
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    • pp.887-895
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    • 2012
  • Lamb waves have received a great attention in the structural health monitoring (SHM) societies because they can propagate over relatively large distances in wave guides such as thin plates and shells. The time-of-flights of Lamb waves can be used to detect damages in a wave guide. However, due to the inherent dispersive and multi-mode characteristics of Lamb waves, one must decompose the Lamb wave modes into the symmetric and anti-symmetric modes for SHM applications. Thus, this paper proposes a decomposition method for the two-mode Lamb waves based on two rules: the group velocity ratio rule and the mode amplitude ratio rule. The group velocity ratio rule means that the ratio of the group velocities of fundamental symmetric and anti-symmetric modes is constant, while the mode amplitude ratio rule means that the magnitude of the fundamental symmetric modes of all measured response signals should be always larger than those of the anti-symmetric mode once the input signal is applied so that the magnitude of fundamental symmetric mode of excited Lamb-wave is larger than that of anti-symmetric mode, and vice versa. The proposed method is verified through the experiments ducted for an aluminum plate specimen.

Dynamic analysis for anti-symmetric cross-ply and angle-ply laminates for simply supported thick hybrid rectangular plates

  • Benhenni, Mohamed Amine;Daouadji, Tahar Hassaine;Abbes, Boussad;Adim, Belkacem;Li, Yuming;Abbes, Fazilay
    • Advances in materials Research
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    • v.7 no.2
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    • pp.119-136
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    • 2018
  • In this paper, static and vibration analysis for anti-symmetric cross-ply and angle- ply carbon/glass hybrid laminates rectangular composite plate are presented. In this analysis, the equations of motion for simply supported thick laminated hybrid rectangular plates are derived and obtained through the use of Hamilton's principle. The closed-form solutions of anti-symmetric cross-ply and angle- ply laminates are obtained using Navier solution. The effects of side-to-thickness ratio, aspect ratio, and lamination schemes on the fundamental frequencies loads are investigated. The study concludes that shear deformation laminate theories accurately predict the behavior of composite laminates, whereas the classical laminate theory over predicts natural frequencies. The excellent accuracy of the present analytical solution is confirmed by making some comparisons of the present results with those available in the literature. It can be concluded that the proposed theory is accurate and simple in solving the free vibration behaviors of anti-symmetric cross-ply and angle- ply hybrid laminated composite plates.

Vibrational behavior of porous composite laminated plates using four unknown integral shear deformation theory

  • Hayat Saidi;Abdelouahed Tounsi;Fouad Bourada;Abdelmoumen Anis Bousahla;Abdeldjebbar Tounsi;Firas Ismail Salman Al-Juboori
    • Steel and Composite Structures
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    • v.52 no.3
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    • pp.249-271
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    • 2024
  • In this scientific work, an analytical solution for the dynamic analysis of cross-ply and angle-ply laminated composite plates is proposed. Due to technical issues during the manufacturing of composite materials, porosities and micro-voids can be produced within the composite material samples, which can carry on to a reduction in the density and strength of the materials. In this research, the laminated composite plates are assumed to have new distributions of porosities over the plate cross-section. The structure is modeled using a simple integral shear deformation theory in which the transverse shear deformation effect is included. The governing equations of motion are obtained employing the principle of Hamilton's. The solution is determined via Navier's approach. The Maple program is used to obtain the numerical results. In the numerical examples, the effects of geometry, ratio, modulus ratio, fiber orientation angle, number of layers and porosity parameter on the natural frequencies of symmetric and anti-symmetric laminated composite plates is presented and discussed in detail. Also, the impacts of the kinds of porosity distribution models on the natural frequencies of symmetric and anti-symmetric laminated composite plates are investigated.

Stress Intensity Factor for Multi-Layered Material Under Polynomial Anti-Symmetric Loading (멱급수 반대칭하중을 받는 다층재 중앙균열의 응력세기계수)

  • 이강용;김성호;박문복
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.12
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    • pp.3219-3226
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    • 1994
  • A model is constructed to evaluate the stress intensity factors for a center crack subjected to polynomial anti-symmetric loading in a layered material. A Fredholm integral equation is derived by Fourier integral transform method. The integral equation is numerically analyzed to evaluate the effects of the ratios of shear modulus, Poisson's ratio and crack length to layer thickness as well as the number of layers on the stress intensity factor. The stress intensity factors are approached to constant values as the number of layers increase and decrease as the polynomial power of the loading increase. In case of the E-glass/Epoxy composite, dimensionless stress intensity factor is affected by cracked-resin layer thickness.

Stress Intensity Factor for Layered Material Under Anti-Symmetric Loading (반대칭하중을 받는 적층재 중앙균열의 응력세기계수)

  • 이강용;박문복;김성호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.6
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    • pp.1382-1387
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    • 1994
  • A model is constructed to evaluate the stress intensity factors for a center crack subjected to anti-symmetric loading in a layered material. A Fredholm integral equation is derived using the Fourier integral transform method. The integral equation is numerically analyzed to evaluate the effects of stress intensity factor on the shear modulus, Poisson's ratio and crack length to layer thickness. In case of the isotropic homogeneous material, the values of stress intensity factor derived in the present study agree with the previous solutions.

Exact Solution on the Anti-symmetric Responses of Ships having Uniform Sectional Properties with Hydro-elasticity (균일단면 선박의 유탄성 수평응답에 대한 해석해)

  • ;;A. Korobkin
    • Journal of the Society of Naval Architects of Korea
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    • v.41 no.4
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    • pp.45-52
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    • 2004
  • Exact solution on the anti-symmetric response 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. Horizontal bending moment, shear force and torsional moment 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

A Study on the Characteristics of Linear Ultrasonic Motor Using Langevin type Piezoelectic Transducer (란쥬반형 압전 진동자를 이용한 선형 초음파 모터의 특성연구)

  • Choi, Myeong-Il;Park, Tae-Gone;Kim, Myeong-Ho
    • Proceedings of the KIEE Conference
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    • 2003.10a
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    • pp.137-139
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    • 2003
  • Transducer for ultrasonic linear motor with the symmetric and anti-symmetric modes was studied. The ultrasonic linear motor consists of two Langevin type piezoelectric vibrators that cross at right angles with each other in tip. In order to excite symmetric and anti-symmetric modes, the transducer must have a phase shift of 90 degree in space and time. Therefore, the tip of transducer moves on an elliptical motion. In this paper, the finite element analysis was used to optimize dimension and displacement of the transducer The ultrasonic motor was fabricated using the simulated result and the driving characteristics were measured. No-load velocity was 0.28[m/s] and the maximum efficiency was 30[%] in resonance frequency.

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