• Title/Summary/Keyword: 고유함수

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A Study on Energy Release Rate for Interface Cracks in Pseudo-isotropic Dissimilar Materials (유사등방성 이종재 접합계면 균열의 에너지 해방률에 관한 연구)

  • 이원욱;김진광;조상봉
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.7
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    • pp.193-200
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    • 2003
  • The energy release rate for an interface crack in pseudo-isotropic dissimilar materials was obtained by the eigenfunction expansion method using the two-term William's type complex stress function. The complex stress function for pseudo-isotropic materials must be different from that for anisotropic materials. The energy release rate for an interface crack in pseudo-isotropic dissimilar materials was analyzed numerically by RWCIM. The results obtained were verified by comparing the other worker's results and discussed.

Dual pH sensitive polyelectrolyte complex membranes composed of chitosan and poly(acrylic acid)

  • 박호범;남상용;이영무
    • Proceedings of the Membrane Society of Korea Conference
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    • 1996.10a
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    • pp.80-81
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    • 1996
  • 일반적으로 고분자전해질은 고유의 독특한 특성으로 고분자 분리막, 이온교환수지, 의료용고분자등에 널리 응용이 되고 있다. 이러한 고분자전해질은 음이온성과 양이온성이 있으며, 그 이온적성질으로 인하여 반대의 전하를 띄는 고분자전해질들끼리 결합하는 성질을 가지고 있다. 이러한 고분자전해질 착체는 고분자전해질과는 또 다른 고유한 특성을 나타내고 있으며, 특히 고분자분리막과 의료용재료 분야에 응용가능성이 큰 물질이다. 특히 양이온성과 음이온성을 동시에 보유하고 있는 구조적 특성에 의하여 산성과 염기성 모두에서 감응성을 나타낼 수 있다. 일반적으로 고분자 겔의 경우 산성 또는 염기성 영역에서 해리되는 특성에 의하여 pH 감응성을 나타내지만 한쪽 영역에서만 특성을 나타내고 있다. 본 실험에서는 키토산과 폴리아크릴산으로 제조된 고분자전해질착체를 이용하여 pH변화에 따른 함수거동을 관찰함으로써 양쪽의 pH 감응성을 고찰해보고자 하였다.

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Natural Frequency of a Rectangular Plate on Non-homogeneous Elastic Foundations (비균질 탄성 기초위에 놓여있는 직사각형 평판의 고유 진동수)

  • Hwang, Ju-Ik;Kim, Yong-Cheol;Lee, Taek-Sun
    • Journal of Ocean Engineering and Technology
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    • v.3 no.2
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    • pp.570-570
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    • 1989
  • The natural frequencies of a rectangular plate on non-homogeneous elastic foundations were obtained by using the Ritz method and Galerkin method. The results of both methods using the different type of trial functions were also compared. Furthermore, the effects of the variation of boundary conditions, the stiffness of the foundation spring, the dimension ratio of the plate were investigated. As a result, the Galerkin method can be used to obtain the accurate solution and can be effectively used to design the foundation bed.

Natural Frequency of a Rectangular Plate on Non-homogeneous Elastic Foundations (비균질 탄성 기초위에 놓여있는 직사각형 평판의 고유 진동수)

  • Hwang, Ju-Ik;Kim, Yong-Cheol;Lee, Taek-Sun
    • Journal of Ocean Engineering and Technology
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    • v.3 no.2
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    • pp.70-76
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    • 1989
  • The natural frequencies of a rectangular plate on non-homogeneous elastic foundations were obtained by using the Ritz method and Galerkin method. The results of both methods using the different type of trial functions were also compared. Furthermore, the effects of the variation of boundary conditions, the stiffness of the foundation spring, the dimension ratio of the plate were investigated. As a result, the Galerkin method can be used to obtain the accurate solution and can be effectively used to design the foundation bed.

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Double Fourier Sine Series Method for The Free Vibration of a Rectangular Plate (이중 사인 시리즈법에 의한 직사각형 평판의 자유 진동해석)

  • 윤종욱;이장무
    • Journal of KSNVE
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    • v.6 no.6
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    • pp.771-779
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    • 1996
  • In this paper, double Fourier sine series is used as a modal displacement functions of a rectangular plate and applied to the free vibration analysis of a rectangular plate under various boundary conditions. The method of stationary potential energy is used to obtain the modal displacements of a plate. To enhance the flexibility of the double Fourier sine series, Lagrangian multipliers are utilized to match the geometric boundary conditions, and Stokes' transformation is used to handle the displacements that are not satisfied by the double Fourier sine series. The frequency parameters and mode shapes obtained by the present method are compared with those obtained by MSC/NASTRAN and other analysis.

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A Study on the Vibration Characteristics of the Eccentrically Stiffened Plate Attached an Orthogonal Stiffener at Arbitrary Angle (직교 보강재가 임의의 각도로 부착된 편면 보강평판의 진동 특성에 관한 연구)

  • 정병환;김찬묵
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.10a
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    • pp.172-178
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    • 1995
  • 보강평판은 평판에 각종 보강재를 용접등의 방법에 의해서 종방향, 횡방향, 경사 또는 임의의 방향으로 부착시켜 굽힘 및 비틀림 강성을 향상시킨 구조요소이다. 이러한 구조요소는 구조적 필요성이나 경량화 설계에 따라 선박의 deck, 철도 차량, 항공기 및 자동차 등의 각종 구조물에서 부하능력 및 경제성을 증대시키기 위하여 널리 사용되고 있고, 또한 자동차용 오일팬, 가전기기의 케이싱과 모터의 케이싱등에도 사용되고 있다. 최근 현장에서는 이러한 구조물의 진동 감소 및 방진 문제가 큰 관심사가 되고 있다. 본 논문은 정사각형 알루미늄 평판에 +자 형태의 Box Beam 보강재를 편면 보강하고 4변 자유단의 경계 조건을 설정하였다. 보강재는 유한요소 정식화 과정을 통하여 평판 요소에 등가시키고, 2차원의 평판 구조로 보강 평판을 모델링하고 구조해석 프로그램인 ANSYS를 이용하여 해석하였다. 실험은 Impact Test에 의해서 주파수 응답 함수(FRF)를 각 시편에 대해서 구하고 이를 해석의 고유진동수와 비교하였다. 그리고 보강재가 임의의 각도로 평판에 부착되었을 때 고유진동수의 변화와 진동 모드(mode shape)를 분석하였다.

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Experiments on Temperature Effect on Air Cavity Resonance and Tire's Vibration Characteristics of a Radial Tire (온도 변화가 승용차용 레이디얼 타이어의 공기공동 공명 및 타이어의 진동특성에 미치는 영향에 관한 실험)

  • Kim, Yong-Woo
    • Transactions of the Korean Society of Automotive Engineers
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    • v.16 no.3
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    • pp.102-110
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    • 2008
  • It is well known that the acoustic cavity inside the tire-wheel assembly contributes to vehicle interior noise and ride comfort. In this paper, we performed acoustic and structural modal testings by varying the temperature ranging from $20^{\circ}\;to\;45^{\circ}C$ to investigate the effects of temperature on acoustic cavity resonance and structural vibration characteristics for unloaded and loaded tires. The testing has given us some findings, which are reported in this paper.

Development of NDIF Method for Highly Accurate Free Vibration Analysis of Arbitrarily Shaped Plates with Simply Supported Boundary Condition (단순 지지 경계 조건을 가진 임의 형상 평판의 고정밀도 자유 진동 해석을 위한 NDIF법 개발)

  • Kang, Sang-Wook;Woo, Yoon-Hwan
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.2
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    • pp.186-193
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    • 2011
  • The NDIF method(non-dimensional dynamic influence function method) for free vibration analysis of arbitrarily shaped plates with the simply supported edge is newly developed in the paper. In order to extract the system matrix that gives the natural frequencies and natural modes of the plate of interest, the difficulty of measuring higher differential terms involved in the simply supported boundary condition is successfully overcome. Finally, the excellence of the characteristics of convergence and accuracy of the proposed method is shown through two verification examples, which indicate that natural frequencies and natural modes obtained by the proposed method are very accurate and swiftly converged even though a small number of nodes are used compared with FEM.

New Formulation of MNDIF Method for Extracting Accurate Natural Frequencies of Plates (평판의 고정밀도 고유진동수 추출을 위한 개선된 MNDIF법 정식 개발)

  • Kang, Sang-Wook;Yoon, Juil
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.23 no.8
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    • pp.725-733
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    • 2013
  • An improved formulation of the MNDIF method is introduced to extract highly accurate natural frequencies of concave plates with arbitrary shape. Originally, the MNDIF method cannot yield accurate natural frequencies for concave plates. It can be applicable to only convex plates. To overcome this weak point, a new approach of dividing a concave plate into two convex domains and applying the MNDIF method to each domain is proposed and the validity and accuracy are shown in verification examples.

A Study for Structural Damage Identification Method Using Genetic Algorithm (유전자 알고리즘을 이용한 구조물 손상 탐색기법에 관한 연구)

  • Woo, Ho-Kil;Choi, Byoung-Min
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.1 s.118
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    • pp.80-87
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    • 2007
  • In this paper, a method for identifying the location and extent of a damage in a structure using residual forces was presented. Element stiffness matrix reduction parameters in a finite element model were used to describe the damaged structure mathematically. The element stiffness matrix reduction parameters were determined by minimizing a global error derived from dynamic residual vectors, which were obtained by introducing a simulated experimental data into the eigenvalue problem. Genetic algorithm was used to get the solution set of element stiffness reduction parameters. The proposed scheme was verified using Euler-Bernoulli beam. The results were presented in the form of tables and charts.