• 제목/요약/키워드: antisymmetric

검색결과 122건 처리시간 0.021초

유사 변환을 이용한 역대칭 앵글 플라이 적층 후판의 거동 (Behaviors of Thick Antisymmetric Angle-Ply Laminate Using the Affine Transformation)

  • 이영신;양명석;나문수
    • 대한기계학회논문집
    • /
    • 제15권1호
    • /
    • pp.28-40
    • /
    • 1991
  • 본 연구에서는 4변이 단순 지지된 두꺼운 역대칭 앵글 플라이 적층판의 굽힘, 좌굴 및 진동 거동을 규명하였으며, 인장과 굽힘, 비틀림 사이의 결합 특성을 고려하 였고, 전단 변형을 고려하였다.또 유사 변환 개념을 도입하여 복합 재료 적층판의 거동을 일반화 하였다.

Study on bi-stable behaviors of un-stressed thin cylindrical shells based on the extremal principle

  • Wu, Yaopeng;Lu, Erle;Zhang, Shuai
    • Structural Engineering and Mechanics
    • /
    • 제68권3호
    • /
    • pp.377-384
    • /
    • 2018
  • Bi-stable structure can be stable in both its extended and coiled forms. For the un-stressed thin cylindrical shell, the strain energy expressions are deduced by using a theoretical model in terms of only two parameters. Based on the principle of minimum potential energy, the bi-stable behaviors of the cylindrical shells are investigated. The results indicate that the isotropic cylindrical shell does not have the second stable configuration and laminated cylindrical shells with symmetric or antisymmetric layup of fibers have the second stable state under some confined conditions. In the case of antisymmetric laminated cylindrical shell, the analytical expressions of the stability are derived based on the extremal principle, and the shell can achieve a compact coiled configuration without twist deformation in its second stable state. In the case of symmetric laminated cylindrical shell, the explicit solutions for the stability conditions cannot be deduced. Numerical results show that stable configuration of symmetric shell is difficult to achieve and symmetric shell has twist deformation in its second stable form. In addition, the roll-up radii of the antisymmetric laminated cylindrical shells are calculated using the finite element package ABAQUS. The results show that the value of the roll-up radii is larger from FE simulation than from theoretical analysis. By and large, the predicted roll-up radii of the cylindrical shells using ABAQUS agree well with the theoretical results.

평면 충돌제트의 불안정특성(2)-원통음- (Characteristics of Plane Impinging Jets(2)- Cylinder-tone -)

  • 권영필;김욱;이주원
    • 한국소음진동공학회논문집
    • /
    • 제14권2호
    • /
    • pp.105-110
    • /
    • 2004
  • The objective of this study is to obtain the instability characteristics of the plane jet impinging on circular cylinder associated with the cylinder-tone. It is found that the characteristics depends upon he ratio of the cylinder diameter to the nozzle width, D/h, and the jet velocity. When the ratio is oderate the cylinder-tone is similar to the edge-tone. With increase of the ratio, its characteristics ecomes similar to that of the plate-tone in which only the high-speed tone associated with turbulent et is generated. When D/h 〈1. the frequency range, especially the lower limit of frequency, is ignificantly influenced by the cylinder diameter. At around D/h = 1/2, while low speed tones are nduced with the antisymmetric mode of instability and affected by the vortex shedding from the ylinder, high-speed tones are generated, at first, with the symmetric mode of instability. and then, ith antisymmetric mode, as the jet velocity increases.

점탄성층이 부분적으로 삽입된 샌드위치보의 횡진동 감쇠특성 (Behavior of the Flexural Vibration Damping of a Sandwich Beam System with a Partially Inserted Viscoelastic Layer)

  • 박진택;유형원;장석원;최낙삼
    • 대한기계학회논문집A
    • /
    • 제26권2호
    • /
    • pp.225-233
    • /
    • 2002
  • The flexural vibration characteristics of a sandwich beam system with a partially inserted viscoelastic layer have been quantitatively studied using a finite element analysis in combination with a sine-sweep test. Antisymmetric mode shapes of the flexural vibration were visualized by the holographic interferometry and agreed with those calculated by the finite element simulation. Effects of the beam thickness as well as the length and thickness of partial viscoelastic layers on the system loss factor(η$\_$s/) and resonant frequency($\omega$$\_$r/) were significantly large fur the symmetric and antisymmetric modes of the beam system.

실험모드해석에 의한 승용차용 레디얼 타이어의 3차원 진동특성 (Experimental Modal Analysis for 3-D Vibration Characteristics of Radial Tire for Passenger Car under Free-Suspension)

  • 김용우;남진영
    • 한국자동차공학회논문집
    • /
    • 제10권3호
    • /
    • pp.227-236
    • /
    • 2002
  • We have performed two kinds of experimental modal analyses fur a radial tire for passenger car under free-suspension. One is the modal analysis to obtain three-dimensional modes of tire using accelerometers and the other is the one to identify cavity resonance frequency using a pressure sensor. From the first analysis, we have obtained the three-dimensional natural modes, which makes it possible to grasp the features of the modes and to classify the vibrational modes into symmetric, non-symmetric, and antisymmetric modes in a simple way by using the experimental results. From the first and the second experimental analyses we have identified the cavity resonance frequency and its three-dimensional mode shape.

평면 충돌제트의 불안정 특성(1) -슬릿음- (Characteristics of Plane Impinging Jets(1) - Slit-tone -)

  • 권영필
    • 한국소음진동공학회논문집
    • /
    • 제14권1호
    • /
    • pp.50-55
    • /
    • 2004
  • In this study, slit-tones by plane impinging jet are investigated experimentally over the whole subsonic flow range, especially at low speeds, in order to obtain the instability behaviour of impinging plane jet. Slit-tones are generated at low speeds associated with laminar shear layer instability as well as at high speeds associated with turbulent instability. Most of low-speed slit-tones are induced by symmetric mode instability unless the slit is not so wide, in which case antisymmetric modes are induced like edge-tones. It is found that the frequencies at low speeds ate controled by the unstable condition of the vortex at the nozzle exit and its pairings by which the frequencies are decreased by half. In the case of symmetric modes related with low-speed slit-tones, frequencies lower than those associated with one-step pairings are not found.

박판 상형 부재의 붕괴 특성연구 (Collapse of Thin-Walled Hatted Section Tubes)

  • 김천욱;한병기
    • 한국자동차공학회논문집
    • /
    • 제2권1호
    • /
    • pp.65-72
    • /
    • 1994
  • Collapse characteristics of thin-walled hatted section tubes are investigated. The square section members with flanges are substituted by the equivalent rectangular tube. The stiffening effects of flanges are transformed to the restraining plate with the equivalency of buckling strength. The square tubes of single-hatted and double-hatted sections are investigated. The double-hatted section members show symmetric and antisymmetric crushing modes depending on the stiffness of flanges. The single-hatted section members show only symmetric modes. The bifurcation point of the compact crushing modes are investigated by experiments and shown almost same thickness-width ratio of the rectangular tubes. A large maximum crippling strength can be obtained by double-hatted section members with proper flange dimensions.

  • PDF

역대칭 Angle-Ply 적층판의 변형에너지 특성에 관한 연구 (Strain Energy Characterics of Antisymmetric Angle-Ply Laminated Plates)

  • 박승진
    • 한국강구조학회 논문집
    • /
    • 제12권6호
    • /
    • pp.691-700
    • /
    • 2000
  • 두 변이 단순지지된 역대칭 Angle-Ply 적층판의 자유진동에 대하여 Yang, Norris, Stavsky의 YNS 이론을 이용하여, 적층판의 자유진동해석 및 변형에너지 해석을 하였다. 적층판의 운동방정식은 선점법을 사용하여 해석하였고, 탄성계수비와 적층수가 고유진동수에 미치는 영향을 검토하였다. 또한 변형에너지 분포 해석을 이용하여 적층판의 진동특성을 명확히 규명하였다.

  • PDF

Antisymmetric-Symmetric Mode Conversion of Ultrasonic Lamb Waves and Negative Refraction on Thin Steel Plate

  • Sung, Jin Woo;Kim, Young H.
    • 비파괴검사학회지
    • /
    • 제33권3호
    • /
    • pp.270-275
    • /
    • 2013
  • In this study, focusing of ultrasonic Lamb wave by negative refraction with mode conversion from antisymmetric to symmetric mode was investigated. When a wave propagates backward by negative refraction, the energy flux is antiparallel to the phase velocity. Backward propagation of Lamb wave is quite well known, but the behavior of backward Lamb wave at an interface has rarely been investigated. A pin-type transducer is used to detect Lamb wave propagating on a steel plate with a step change in thickness. Conversion from forward to backward propagating mode leads to negative refraction and thus wave focusing. By comparing the amplitudes of received Lamb waves at a specific frequency measured at different distance between transmitter and interface, the focusing of Lamb wave due to negative refraction was confirmed.

ON OPTIMALITY OF GENERALIZED OPTIMIZATION PROBLEMS ASSOCIATED WITH OPERATOR AND EXISTENCE OF (Tη; ξθ)-INVEX FUNCTIONS

  • Das, Prasanta Kumar
    • East Asian mathematical journal
    • /
    • 제33권1호
    • /
    • pp.83-102
    • /
    • 2017
  • The main purpose of this paper is to introduce a pair new class of primal and dual problem associated with an operator. We prove the sufficient optimality theorem, weak duality theorem and strong duality theorem for these problems. The equivalence between the generalized optimization problems and the generalized variational inequality problems is studied in ordered topological vector space modeled in Hilbert spaces. We introduce the concept of partial differential associated (PDA)-operator, PDA-vector function and PDA-antisymmetric function to show the existence of a new class of function called, ($T_{\eta};{\xi}_{\theta}$)-invex functions. We discuss first and second kind of ($T_{\eta};{\xi}_{\theta}$)-invex functions and establish their existence theorems in ordered topological vector spaces.