• Title/Summary/Keyword: normal mode expansion

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Effects of elastic foundation on the dynamic stability of cylindrical shells

  • Ng, T.Y.;Lam, K.Y.
    • Structural Engineering and Mechanics
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    • v.8 no.2
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    • pp.193-205
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    • 1999
  • A formulation for the dynamic stability analysis of cylindrical shells resting on elastic foundations is presented. In this previously not studied problem, a normal-mode expansion of the partial differential equations of motion, which includes the effects of the foundation as well as a harmonic axial loading, yields a system of Mathieu-Hill equations the stability of which is analyzed using Bolotin's method. The present study examines the effects of the elastic foundation on the instability regions of the cylindrical shell for the transverse, longitudinal and circumferential modes.

Analysis of Mixed Mode Crack Extension in Anisotropic Solids (이방성재료내 혼합모드균열의 진전 해석)

  • 임원균;강석진;진영균
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.04a
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    • pp.301-308
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    • 2001
  • The problem of predicting crack propagation in anisotropic solids which is a subject of considerable practical importance is examined. The effect of the second term in the asymptotic expansion of the crack tip stress field on the direction of initial crack extension is made explicitly. We employ the normal stress ratio theory to determine values for the direction of initial crack extension. The theoretical analysis is performed for the wide range of the anisotropic material properties. It is shown that the use of second order term in the series expansion is essential for the accurate determination of crack growth direction in anisotropic solids.

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A Study on Expansion of Inland Railway Use For Container Cargo (컨테이너 화물의 내륙철도이용 확대에 관한 연구)

  • Choi, Kyoungsuk;Xia, Tongshui
    • Journal of the Korean Society for Railway
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    • v.19 no.1
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    • pp.97-108
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    • 2016
  • Over 80% of Korea's cargo transport relies on public roads. Such over-reliance has created a range of social problems including environmental damage. Korea thus faces an urgent need to establish an alternative mode of cargo transportation. In view of the changing international logistics environment, railway is clearly a superior mode of transport. The prerequisite task today for Korea is to enhance the competitiveness of inland railway by switching to railway and spurring new demand for cargo. This study examines inland railway cargo transport from the demand perspective. Specifically, through the use of a survey, the study identifies key factors influencing the decisions of container shippers regarding the use of railway for cargo transport. The survey responses were statistically tested using Smart PLS structural equation modeling. The results indicate that attitude toward railway use had the strongest influence on choice, while the key variable affecting attitude formation was cost.

Stress and Displacement Fields of a Propagating Mode III Crack in Orthotropic Functionally Gradient Materials with Property Gradation Along Y Direction (Y방향을 따라 물성치구배를 갖는 직교이방성 함수구배 재료에서 전파하는 모드 III 균열의 응력장과 변위장)

  • Lee, Kwang-Ho
    • Journal of the Korean Society of Industry Convergence
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    • v.9 no.1
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    • pp.37-44
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    • 2006
  • Stress and displacement fields of a Mode III crack propagating along the normal to gradient in an orthotropic functionally gradient materials (OFGM), which has (1) an exponential variation of shear modulus and density, and (2) linear variation of shear modulus with a constant density, are derived. The equations of motion in OFGM are developed and solution to the displacement and stress fields for a propagating crack at constant speed though an asymptotic analysis. The first three terms in expansion of stress and displacement are derived to explicitly bring out the influence of nonhomogeneity. When the FGM constant ${\zeta}$ is zero or $r{\rightarrow}0$, the fields for OFGM are almost same as the those for homogeneous orthotropic material. Using the stress components, the effects of nonhomogeneity on stress components are discussed.

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An Investigation into the Application of the Modal Analysis to the Calculation o Transverse Vibration Responses of Ship Hulls (선체횡진동응답(船體橫振動應答)의 Model Analysis에 관한 고찰(考察))

  • S.B.,Han;K.C.,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.21 no.2
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    • pp.29-34
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    • 1984
  • The degree of deviation from the orthogonality relations of the actual ship's natural modes and its effects on the vibration responses are numerically investigated. The results show that, for the practical application of the modal analysis, it is not an essential requirement in utilization of the expansion theorem to assume the added mass being constant regardless of the mode shapes, or to take the dry hull's natural modes. That is, it is more reasonable to take the actual ships natural modes as the set of the normal modes and to get the solution of the normal coordinates equation by neglecting both the inertia coupling and the stiffeness coupling.

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On the nonlinear structural analysis of wind turbine blades using reduced degree-of-freedom models

  • Holm-Jorgensen, K.;Staerdahl, J.W.;Nielsen, S.R.K.
    • Structural Engineering and Mechanics
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    • v.28 no.1
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    • pp.107-127
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    • 2008
  • Wind turbine blades are increasing in magnitude without a proportional increase of stiffness for which reason geometrical and inertial nonlinearities become increasingly important. Often these effects are analysed using a nonlinear truncated expansion in undamped fixed base mode shapes of a blade, modelling geometrical and inertial nonlinear couplings in the fundamental flap and edge direction. The purpose of this article is to examine the applicability of such a reduced-degree-of-freedom model in predicting the nonlinear response and stability of a blade by comparison to a full model based on a nonlinear co-rotating FE formulation. By use of the reduced-degree-of-freedom model it is shown that under strong resonance excitation of the fundamental flap or edge modes, significant energy is transferred to higher modes due to parametric or nonlinear coupling terms, which influence the response and stability conditions. It is demonstrated that the response predicted by such models in some cases becomes instable or chaotic. However, as a consequence of the energy flow the stability is increased and the tendency of chaotic vibrations is reduced as the number of modes are increased. The FE model representing the case of infinitely many included modes, is shown to predict stable and ordered response for all considered parameters. Further, the analysis shows that the reduced-degree-of-freedom model of relatively low order overestimates the response near resonance peaks, which is a consequence of the small number of included modes. The qualitative erratic response and stability prediction of the reduced order models take place at frequencies slightly above normal operation. However, for normal operation of the wind turbine without resonance excitation 4 modes in the reduced-degree-of-freedom model perform acceptable.

Experimental Study on the Performance Characteristics of Air Hybrid Engine (Air hybrid 엔진의 구동 특성에 관한 실험적 연구)

  • Lee, Yong-Gyu;Kim, Yong-Rae;Kim, Young-Min;Park, Chul-Woong;Choi, Kyo-Nam;Jeong, Dong-Soo
    • Journal of the Korean Institute of Gas
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    • v.15 no.5
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    • pp.50-56
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    • 2011
  • A preliminary experimental study of new concept air hybrid engine, which stores compressed air in the tank during braking and re-use it to propel vehicle during crusing or acceleration, was carried out in this study. A single cylinder engine was modified to realize the concept of air hybrid engine. Independent variable valve lift system was adopted in one of the exhaust valves to store the compressed air into the air tank during compression period. An air injector module was installed in the place of spark plug, and the stored compressed air was supplied during the expansion period to realize air motoring mode. For air compression mode, the tank with volume of 30 liter could be charged up to more than 13 bar. By utilizing this stored compressed air, motoring work of 0.41 bar of IMEP(Indicated mean effective pressure) at maximum can be generated at the 800rpm conditions, which is higher than the case of normal idle condition by 1.1 bar of IMEP.

Modeling of Elastodynamic Problems in Finite Solid Media (유한 고체내 탄성동역학 문제의 모델링)

  • Cho, Youn-Ho
    • Journal of the Korean Society for Nondestructive Testing
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    • v.20 no.2
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    • pp.138-149
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    • 2000
  • Various modeling techniques for ultrasonic wave propagation and scattering problems in finite solid media are presented. Elastodynamic boundary value problems in inhomogeneous multi-layered plate-like structures are set up for modal analysis of guided wave propagation and numerically solved to obtain dispersion curves which show propagation characteristics of guided waves. As a powerful modeling tool to overcome such numerical difficulties in wave scattering problems as the geometrical complexity and mode conversion, the Boundary Element Method(BEM) is introduced and is combined with the normal mode expansion technique to develop the hybrid BEM, an efficient technique for modeling multi mode conversion of guided wave scattering problems. Time dependent wave forms are obtained through the inverse Fourier transformation of the numerical solutions in the frequency domain. 3D BEM program development is underway to model more practical ultrasonic wave signals. Some encouraging numerical results have recently been obtained in comparison with the analytical solutions for wave propagation in a bar subjected to time harmonic longitudinal excitation. It is expected that the presented modeling techniques for elastic wave propagation and scattering can be applied to establish quantitative nondestructive evaluation techniques in various ways.

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