• Title/Summary/Keyword: antisymmetric

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A Note on the Frequency and Normal Mode Equations of Uniform Timoshenko Beams (균일단면(均一斷面) Timoshenko보의 진동수방정식(振動數方程式) 및 기준함수(基準函數)에 관하여)

  • K.C.,Kim;Y.J.,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.19 no.2
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    • pp.27-31
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    • 1982
  • The practical utilization of the frequency and normal mode equations of uniform Timoshenko beams such as those presented by Huang is not simple due to their highly trancendental nature. In this note largely simplified equations obtained for the fixed-fixed and the free-free boundary conditions, the modes of which are separable into symmetric modes and antisymmetric ones, are given. Numerical results obtains for six common-type boundary conditions show that the quantitative measure of the effect of rotary inertia and shear deformation on the natural frequency is greatly dependent upon the boundary conditions as well as the order number.

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Random Vibration Analysis of Composite Laminated Beams (불규칙 진동을 받는 복합 적층보의 응력 및 파괴해석)

  • Jeon, Yong-Sun;Kang, Joo-Won
    • Journal of Korean Association for Spatial Structures
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    • v.2 no.4 s.6
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    • pp.29-36
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    • 2002
  • The responses of composite laminated beams modeled with finite element and excited by stochastic loading are studied. The cantilevered laminated beam having a 5 ply configuration is considered. The beam is 1m long, 0.1m wide, and 0.02m thick, yielding a length to thickness ratio of L/h=50. The laminated beams was assumed to be made of Born Epoxy. The four nodes at the free end of the cantilever were loaded with identical zero-mean white noise excitations. Stress and failure analysis loaded with identical zero-mean white noise excitations is carried out. Along with the obtained results, comparison and discussion are presented for the cases of symmetric-ply, antisymmetric-ply, angle-ply, and cross-ply laminated beams.

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Dynamic Characteristics of Anisotropic Laminated Plates (이방성 복합재료의 동적특성에 관한 연구)

  • Park, Sungjin;Baek, Jooeun
    • Journal of the Society of Disaster Information
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    • v.12 no.1
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    • pp.62-68
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    • 2016
  • In this study, the impact problems are brought up and the formulation by isoparametric element is attempted for the purpose of analyzing the response characteristics of laminated plate receiving impact load based on the first-order shear deformation theory expanded from the Mindlin plate theory. The result of static analysis and dynamic analysis is drawn through the numerical analysis rectangular and circular plates of antisymmetric Angle-Ply laminated plate using the finite element method and the analysis on each displacement is compared.

A Study on the Crushing Theory of Double Hatted-section Tube (이중 모자형 단면부재의 압괴 연구)

  • Kim, C.W.;Han, B.K.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.3 no.3
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    • pp.29-36
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    • 1995
  • The present paper deals with the crushing characteristics of double hatted-section tube used in body structure of passenger car. Being crushed, a double hatted-section tube shows symmetric or antisymmetric buckling mode according to section aspect ratio and flange size. Zone of buckling mode is shown by numerical methods. It is supposed that crippling behavior of double hatted-section tube corresponds with rectangular tube without flange. Crippling plate coefficient is also calculated when section aspect ratio of tube is higher than one.

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The Evaluation of the Kinked Interface Crack Behavior in Dissimilar Materials by CED (CED에 의한 계면굴절균열의 진전거동평가)

  • Kwon, O.H
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.3
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    • pp.414-422
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    • 1997
  • The characteristics on the extension of the CED(Crack Energy Density) concept to the interface kinked crack problems in a dissimilar are examined. Each mode contributions of CED are found by symmetric and antisymmetric conponents and domain independent integrals. Finite element calculation is carried out to simulate the interface kinked crack growth on a bimaterial. The focus is the establishment of fracture criterion with CED and finding the orientation of crack extension. From the results, a prediction about the extension behavior of an interface kinked crack can be done. And we show that CED can be a parameter to indicate fracture criterion at an interface kinked crack.

Nonlinear Numerical Analysis and Experiment of Composite Laminated Shell (복합재 적층셸의 비선형 수치해석 및 실험)

  • 조원만;이영신;윤성기
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.8
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    • pp.2051-2060
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    • 1993
  • A finite element program using degenerated shell element was developed to solve the geometric, material and combined nonlinear behaviors of composite laminated shell. The total Lagrangian method was implemented for geometric nonlinear analysis. The material nonlinear behavior was analyzed by considering the matrix degradation due to the progressive failure in the matrix and matrix-fiber interface after initial failure. The result of the geometric nonlinear analysis showed good agreement with the other exact and numerical solutions. The results of the combined analyses considered both geometric and material nonlinear analyses were compared with the experiments in which internal pressure was applied to the filament wound antisymmetric tubes.

Study on Thermoelastic Instability of Automotive Disc Brakes (자동차용 디스크 브레이크의 열탄성 불안정성에 관한 연구)

  • Choi, Ji-Hoon;Kim, Do-Hyung;Lee, In
    • Journal of KSNVE
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    • v.11 no.2
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    • pp.315-322
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    • 2001
  • This paper is focused on the frictionally induced thermoelastic instability (TEI) in automotive disk brakes. This instability leads to the formation of localized high temperature contact regions known as hot spots. This article investigates the themoelastic instability in automotive disk brake systems consisting of a finite thickness layer (disk) and two half-planes (pads) using a perturbation method. The antisymmetric mode involves hot spots located alternately on two sides of the disk. As a result the circumferentially periodic hot spots produce rotor surface distortion and Induce low frequency vibration. Also the effects of system parameters on the critical speed for TEI are investigated.

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Analytical solutions for buckling of simply supported rectangular plates due to non-linearly distributed in-plane bending stresses

  • Jana, Prasun;Bhaskar, K.
    • Structural Engineering and Mechanics
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    • v.26 no.2
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    • pp.151-162
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    • 2007
  • Rigorous analytical solutions are obtained for the plane stress problem of a rectangular plate subjected to non-linearly distributed bending loads on two opposite edges. They are then used in a Galerkin type solution to obtain the corresponding convergent buckling loads. It is shown that the critical bending moment depends significantly on the actual edge load distribution and further the number of nodal lines of the buckled configuration can also be different from that corresponding to a linear antisymmetric distribution of the bending stresses. Results are tabulated for future use while judging approximate numerical solutions.

Characterazation of Butyldithiodiacetic Acid, Benzmethyldithiodiacetic Acid and Cyclohexyldithiodiacetic Acid used Infrared Spectra in Aqueous Solution (수용액상에서 Infrared Spectra를 이용한 Butyldithiodiacetic Acid, Benzmethyldithiodiacetic Acid, Cyclohexyldithiodiacetic Acid의 특성에 관한 연구)

  • Doh, Kiel Myung;Kim, Ill Chool;Choi, Bo Yong
    • Journal of the Korean Chemical Society
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    • v.39 no.3
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    • pp.213-217
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    • 1995
  • Infrared Spectra of aqueous solution of BUDDA(Butyldithiodiacetic acid), BMDDA(Benzmethyldithiodiacetic acid), and CHDDA(Cyclohexyldithiodiacetic acid) are reported at various pH values. On the basis of the antisymmetric stretching bands of the ionized and un-ionized carboxyl group, the structures of the free-ligand are inferred. An approach to the study of these structures are compared with the results of potentiometric titration curve and IR Spectra studies.

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Optimum Design of the Laminated Composite Sandwich Plate Structure of Truss Core considering Vibration Characteristics (복합적층 트러스 코어형 샌드위치 판구조물의 진동특성을 고려한 최적설계)

  • Jung, Suok-Mo;Hong, Do-Kwan;Ahn, Chan-Woo
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.703-709
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    • 2001
  • In this paper, we analyzed the laminated composite sandwich plate structure of truss core with changing values of the designing parameters. As a result, in designing parameters of that, the more height and thickness of the laminated composite plate's core, the more increase of natural frequency. In this type of structure, in the case of applying core of the laminated composite plate and antisymmetric stacking, natural frequency has high value and we calculated the optimum angle-ply making natural frequency maximum. Natural frequency of CFRP is higher than that of GFRP. Both are materials of the laminated composite plate. The mode shapes are various along with the angle-ply of the laminated composite plate.

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