• Title/Summary/Keyword: Modal Expansion

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Transient Analysis of Composite Cylindrical Shells with Ring Stiffeners (링보강 복합재료 원통셸의 과도해석)

  • Kim, Yeong-Wan
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.11
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    • pp.1802-1812
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    • 2001
  • The theoretical method is developed to investigate the effects of ring stiffeners on free vibration characteristics and transient response for the ring stiffened composite cylindrical shells subjected to the impulse pressure Loading. In the theoretical procedure, the Love's thin shell theory combined with the discrete stiffener theory to consider the ring stiffening effect is adopted to formulate the theoretical model. The concentric or eccentric ring stiffeners are laminated with composite and have the uniform rectangular cross section. The modal analysis technique is used to develop the analytical solutions of the transient problem. The analysis is based on an expansion of the loads, displacements in the double Fourier series that satisfy the boundary conditions. The effect of stiffener's eccentricity, number, size, and position on transient response of the shells is examined. The results are verified by comparison with FEM results.

FREE VIBRATION ANALYSIS OF CIRCULAR PLATE WITH ECCENTRIC HOLE SUBMERGED IN FLUID

  • Jhung, Myung-Jo;Choi, Young-Hwan;Ryu, Yong-Ho
    • Nuclear Engineering and Technology
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    • v.41 no.3
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    • pp.355-364
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    • 2009
  • Circular plates with holes are extensively used in mechanical components. The existence of a hole in a circular plate results in a significant change in the natural frequencies and mode shapes of the structure. Especially if the hole is located eccentrically, the vibration behavior of these structures is expected to deviate significantly from that of a plate with a concentric hole. In addition, if the plate is in contact with or submerged in fluid, the situation is more complex. Therefore, in this study, an analytical method to determine the modal characteristics of a plate submerged in fluid is developed based on the finite Fourier-Bessel series expansion and Rayleigh-Ritz method and is verified by the finite element analysis using a commercial program. Also, the relationship between parameter variations and vibration modes is investigated. These results can be used as guidance for the modal analysis and damage detection of a circular plate with a hole.

Effect of the Joint Condition between Muffler Shell and Baffle on Radiated Noise (배기계 방사소음에 대한 소음기 셀/격벽간 접합구조의 영향)

  • Yang, Chul-Ho
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.16 no.3 s.108
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    • pp.233-239
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    • 2006
  • The effect of the joint condition of automotive muffler shell and baffle on radiated noise from muffler shell Is studied. Shell vibration characteristics, especially shift In natural frequency and change in of response amplitude, was identified from finite element analysis and modal tests for various joint conditions between shell and baffle. When there is heat expansion and inner pressure from the exhaust 9as in the muffler with elliptical cross section, the shell expands out, and construct gap with baffles. This gap causes more degrees of freedom of shell vibration and natural frequency shift. By welding the muffler shell to the baffles or using a dual shell muffler, the radiated noise problem could be mitigated supplying more a rigid joint and damping, respectively.

Transient Response of Composite Cylindrical Shells with Ring Stiffeners (링보강 복합재료 원통셸의 과도응답)

  • Kim, Young-Wann;Chung, Kang;Park, Kyung-Jo
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.883-888
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    • 2001
  • The theoretical method is developed to investigate the effects of ring stiffeners on free vibration characteristics and transient response for the ring stiffened composite cylindrical shells subjected to the impulse pressure loading. In the theoretical procedure, the Love's thin shell theory combined with the discrete stiffener theory to consider the ring stiffening effect is adopted to formulate the theoretical model. The concentric or eccentric ring stiffeners are laminated with composite and have the uniform rectangular cross section. The modal analysis technique is used to develop the analytical solutions of the transient problem. The analysis is based on an expansion of the loads, displacements in the double Fourier series that satisfy the boundary conditions. The effect of stiffener's eccentricity, number, size, and position on transient response of the shells is examined. The theoretical results are verified by comparison with FEM results.

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Measurement of Plate Vibration by Using Phase Signals (위상신호를 이용한 단순평판의 진동계측)

  • 함연수;김정수;김관주
    • Journal of KSNVE
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    • v.10 no.6
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    • pp.949-954
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    • 2000
  • Applicability of the vibration signal phase for predicting the modal damping properties of structures is investigated. For uniform plates with different internal damping levels, the phase delay as a function of the frequency span as well as a function of the distance between the excitation and response measurement points are experimentally obtained. Dependence of the phase characteristics on the amount of structural damping is elucidated -more heavily damped plate shows notably reduced phase delay at intermediate distances. The experimental results compare favorably with analytical predictions, and show much promise for further refinement as a tool for estimating structural properties.

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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 Dynamic Response of Laminated Circular Cylindrical Shells under Dynamic Loads (동하중을 받는 복합재료 원통셸의 동적거동 해석)

  • 이영신;이기두
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.11
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    • pp.2684-2693
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    • 1993
  • The free vibration and dynamic response of cross-ply for CFRP and GFRP laminated circular cylindrical shells under dynamic loadings are investigated by using the first-order shear deformation shell theory. The modal analysis technique is used to develop the analytical solutions of simply supported cylindrical shells under dynamic load. The analysis is based on an expansion of the loads, displacements and rotations in a double Fourier series which satisfies the and boundary conditions of simply support. Analytical solution is assumed to be separable into a function of time and a function of position. In this paper, the considered load forces are step pulse, sine pulse, triangular(1, 2, 3) pulse and exponential pulse. The solution for a given loading pulse can be found by involving the convolution integral. The results show that the dynamic response are governed primarily by the natural period of the structure.

A Study on the Rectangular Waveguide Phase-Shifter Partially Loaded with a Rectangular Dielectric Slab (구형 유전체판이 삽입된 구형도파관 이상기에 관한 연구)

  • 박병우;이상설
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.15 no.10
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    • pp.850-856
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    • 1990
  • Generally, the waveguide phase-shifter has been analyzed by the modal expansion method. We can not apply this method in the case which is difficult to choose a nenerating function. In this paper, we are analyzed the rectangular waveguide phase shifter using the perturbation method. When the depth of dielectric slab is smaller then one half of the waveguide height, the experimental results are well agreed with the calculated values by this method.

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Free vibration of primary-secondary structures with multiple connections (다중 지지된 주-부 구조물의 자유진동)

  • 민경원
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1991.10a
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    • pp.63-68
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    • 1991
  • The frequency window method has been extended to include strong coupling and multiple connections between the primary structure and the secondary structures. The rational polynomial expansion of the eigenvalue problem and the analytical methods for its solution are novel and distinguish this work from other eigenvalue analysis methods. The key results are the identification of parameters which quantify the resonance and coupling characteristics; the derivation of analytical dosed-form expressions describing the fundamental modal properties of the frequency windows; and the development of an iterative procedure which yields accurate convergent results for strongly-coupled primary-secondary structures.

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