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      KCI등재 SCIE SCOPUS

      Analytical approach on nonlinear vibration of dry cask storage systems

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      https://www.riss.kr/link?id=A106973059

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      다국어 초록 (Multilingual Abstract)

      In this paper, a novel analytical method, Max-Min Approach (MMA), has been presented and applied to consider the nonlinear vibration of dry cask storage systems. The nonlinear governing equation of the structure has been developed using the shell theo...

      In this paper, a novel analytical method, Max-Min Approach (MMA), has been presented and applied to consider the nonlinear vibration of dry cask storage systems. The nonlinear governing equation of the structure has been developed using the shell theory. The MMA results are compared with numerical solutions derived by Runge-Kutta’s Method (RKM). The results indicate a satisfying agreement between MMA and numerical solutions. Parametric studies have been conducted on the nonlinear frequency of dry casks. The phase-plan of the problem is also presented and discussed. The proposed approach can potentially ca be extended to highly nonlinear problems.

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      참고문헌 (Reference)

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      4 Grigolyuk E. I., "Stability of Shells" Nauka 1987

      5 Hieu, D. V., "Postbuckling and free nonlinear vibration of microbeams based on nonlinear elastic foundation" 2018

      6 Braghin, F., "Periodic substructure for multi-frequency energy harvesting with single piezoelectric patch" 2016 : 2016

      7 Von Wagner, U., "On some aspects of the dynamic behavior of the softening Duffing oscillator under harmonic excitation" 86 (86): 1383-1390, 2016

      8 Mohammad Arefi, "Nonlocal free vibration analysis of a doubly curved piezoelectric nano shell" 국제구조공학회 27 (27): 479-493, 2018

      9 Liu, Y., "Nonlinear vibrations of rotating thin circular cylindrical shell" 67 (67): 1467-1479, 2012

      10 I. Pakar, "Nonlinear vibration of unsymmetrical laminated composite beam on elastic foundation" 국제구조공학회 26 (26): 453-461, 2018

      1 Avazpoura, L., "Uncertain Hermite-Hadamard inequality for functions with(s, m)-Godunova-Levin derivatives via fractional integral" 9 (9): 3333-3347, 2016

      2 Filippov, S. B., "Theory of Conjugated and Reinforced Shells" St. Petersburg State University 1999

      3 Bildik, N., "The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations" 7 (7): 65-70, 2006

      4 Grigolyuk E. I., "Stability of Shells" Nauka 1987

      5 Hieu, D. V., "Postbuckling and free nonlinear vibration of microbeams based on nonlinear elastic foundation" 2018

      6 Braghin, F., "Periodic substructure for multi-frequency energy harvesting with single piezoelectric patch" 2016 : 2016

      7 Von Wagner, U., "On some aspects of the dynamic behavior of the softening Duffing oscillator under harmonic excitation" 86 (86): 1383-1390, 2016

      8 Mohammad Arefi, "Nonlocal free vibration analysis of a doubly curved piezoelectric nano shell" 국제구조공학회 27 (27): 479-493, 2018

      9 Liu, Y., "Nonlinear vibrations of rotating thin circular cylindrical shell" 67 (67): 1467-1479, 2012

      10 I. Pakar, "Nonlinear vibration of unsymmetrical laminated composite beam on elastic foundation" 국제구조공학회 26 (26): 453-461, 2018

      11 Mehran Javanmard, "Nonlinear vibration of Euler-Bernoulli beams resting on linear elastic foundation" 국제구조공학회 15 (15): 439-449, 2013

      12 Zeng, D. Q., "Nonlinear oscillator with discontinuity by the max–min approach" 42 (42): 2885-2889, 2009

      13 Bayat, M., "Nonlinear frequency analysis of beams resting on elastic foundation using max-min approach" 16 (16): 355-361, 2018

      14 Zhang, D., "Nonlinear effect of tooth-slot transition on axial vibration, contact state and speed fluctuation in traveling wave ultrasonic motor" 232 (232): 3424-3438, 2018

      15 전형민, "New higher-order triangular shell finite elements based on the partition of unity" 국제구조공학회 73 (73): 1-16, 2020

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      17 Mohyud-Din, S. T., "Homotopy perturbation method for solving partial differential equations" 64 (64): 157-170, 2009

      18 He, J. H., "Homotopy perturbation method : a new nonlinear analytical technique" 135 (135): 73-79, 2003

      19 Mohammadian, M., "Higher-order approximate analytical solutions to nonlinear oscillatory systems arising in engineering problems" 87 (87): 1317-1332, 2017

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      21 Genesio, R., "Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems" 28 (28): 531-548, 1992

      22 He, J. H., "Hamiltonian approach to nonlinear oscillators" 374 (374): 2312-2314, 2010

      23 Khan, K., "Free and forced vibration characteristics of bimodular composite laminated circular cylindrical shells" 126 : 386-397, 2015

      24 Avazpour, L., "Fractional Ostrowski type inequalities for functions whose derivatives are prequasiinvex" 9 : 15-29, 2018

      25 Maryam Shokravi, "Forced vibration response in nanocomposite cylindrical shells - Based on strain gradient beam theory" 국제구조공학회 28 (28): 381-388, 2018

      26 Bayat, M., "Energy based approach for solving conservative nonlinear systems" 13 (13): 131-136, 2017

      27 Koval, L. R., "Effect of longitudinal resonance the parametric stability of an axially excited cylindrical shell" 55 (55): 91-97, 1974

      28 Ebrahimi, F., "Dynamic modeling of nonlocal compositionally graded temperature-dependent beams" 5 (5): 141-, 2018

      29 Lockhart, D. F., "Dynamic buckling of a damped externally pressurized imperfect cylindrical shell" 46 : 372-377, 1979

      30 Chin, C. -M., "Bifurcation and chaos in externally excited circular cylindrical shells" 63 (63): 565-574, 1996

      31 Andrianov, I. V., "Asymptotical Mechanics of Thin-Walled Structures" Springer Science and Business Media 2013

      32 Ganji, D. D., "Approximate solutions to Van der Pol damped nonlinear oscillators by means of He’s energy balance method" 87 (87): 2014-2023, 2010

      33 Hashemiparast, S., "Applying Quadrature Rules with Multiple Nodes to Solving Integral Equations" 1048 : 257-, 2008

      34 Ganji, D. D., "Application of max min approach and amplitude frequency formulation to nonlinear oscillation systems" 74 (74): 131-140, 2012

      35 Sadeghzadeh, S. A. D. E. G. H., "Application of higher order Hamiltonian approach to the nonlinear vibration of micro electro mechanical systems" 13 (13): 478-497, 2016

      36 Mehdipour, I., "Analytical modeling and experimental verification of a S-shaped vibration energy harvester" 2016

      37 Jinling Gao, "Analytical and numerical study of temperature stress in the bi-modulus thick cylinder" 국제구조공학회 64 (64): 81-92, 2017

      38 Evkin, A. Y., "Analysis of large deflection equilibrium states of composite shells of revolution. Part 1. General model and singular perturbation analysis" 38 (38): 8961-8974, 2001

      39 Errico, F., "An investigation on the vibrations of laminated shells under aeroacoustic loads using a WFE approach" 6 (6): 463-479, 2019

      40 García-Saldaña, J. D., "A theoretical basis for the harmonic balance method" 254 (254): 67-80, 2013

      41 Razzak, M. A., "A simple harmonic balance method for solving strongly nonlinear oscillators" 21 : 68-76, 2016

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      2016 1.12 0.62 0.94
      KCIF(4년) KCIF(5년) 중심성지수(3년) 즉시성지수
      0.79 0.68 0.453 0.33
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