지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.9
- 수록면
- 27 - 34 (8page)
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초록· 키워드
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In this study, an analytical solution using the homotopy perturbation method of shell-like shallow trusses was investigated. The dynamic unstable phenomenon that appears in shallow space trusses is sensitive to initial conditions, and its characteristics are analyzed and its instability is examined by obtaining the exact solution or through numerical analysis. In this process, obtaining a more precise solution plays a very important role, and obtaining an analytical solution expressed in infinite terms is one way to get a more accurate result. A homotopy equation, in this study, was derived by formulating a governing equation for a shell-like shallow truss, and a semi-analytical solution was obtained by homotopy perturbation method. Besides, sensitive unstable phenomena were examined and their solutions were compared according to various dynamic behaviors and initial conditions, and the shapes of attractors in the phase space were observed. In conclusion, the analytical solution of the simple nonlinear model using the homotopy method proposed in this study was excellent when compared with the numerical analysis result, and reflected the nonlinear unstable phenomenon of the shell-like shallow truss which was the target model of analysis.
목차
Abstract
1. 서론
2. 호모토피 구조와 해석방법
3. 쉘형 얕은 트러스의 해석적 해
4. 결론
REFERENCES
참고문헌 (32)
참고문헌 신청
Adomian, G. / 1992 / Generalization of adomian polynomials to functions of several variables / Computers & mathematics with Applications 24:11~24
Alnasr, M. / 2011 / Application of the multistage homotopy perturbation method to some dynamical systems / International Journal of Science &Technology A1:33~38
Ario, I. / 2004 / Homoclinic bifurcation and chaos attractor in elastic two-bar truss / International Journal of Non-Linear Mechanics 39(4):605~617
Barrio, R. / 2005 / VSVO formulation of the Taylor method for the numerical solution of ODEs / Computers & mathematics with Applications 50:93~111
Bi, Q. / 2000 / Analysis of non-linear dynamics and bifurcations of a shallow arch subjected to periodic excitation with internal resonance / Journal of Sound and Vibration 233(4):557~571
Alnasr, M. / 2011 / Application of the multistage homotopy perturbation method to some dynamical systems / International Journal of Science &Technology A1:33~38
Ario, I. / 2004 / Homoclinic bifurcation and chaos attractor in elastic two-bar truss / International Journal of Non-Linear Mechanics 39(4):605~617
Barrio, R. / 2005 / VSVO formulation of the Taylor method for the numerical solution of ODEs / Computers & mathematics with Applications 50:93~111
Bi, Q. / 2000 / Analysis of non-linear dynamics and bifurcations of a shallow arch subjected to periodic excitation with internal resonance / Journal of Sound and Vibration 233(4):557~571
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UCI(KEPA) : I410-ECN-0101-2016-540-001977791