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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.62 No.2
- 발행연도
- 2017.1
- 수록면
- 171 - 178 (8page)
이용수
초록· 키워드
오류제보하기
Nonlinear vibrations of an Euler-Bernoulli beam resting on a nonlinear elastic foundation are discussed. In search of approximate analytical solutions, the classical multiple scales (MS) and the multiple scales Lindstedt Poincare (MSLP) methods are used. The case of primary resonance is investigated. Amplitude and phase modulation equations are obtained. Steady state solutions are considered. Frequency response curves obtained by both methods are contrasted with each other with respect to the effect of various physical parameters. For weakly nonlinear systems, MS and MSLP solutions are in good agreement. For strong hardening nonlinearities, MSLP solutions exhibit the usual jump phenomena whereas MS solutions are not reliable producing backward curves which are unphysical.
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참고문헌 (43)
참고문헌 신청
Boyaci, H. / 2006 / Vibrations of stretched damped beams under non-ideal boundary conditions / Sadhana-Acad. P. Eng. S 31(1):1~8
Boyaci, H. / 1997 / A comparison of different versions of the method of multiple scales for partial differential equations / J. Sound Vib 204(4):595~607
Cheung, Y. K. / 1991 / A modified Lindstedt Poincare method for certain strongly nonlinear oscillators / Int. J. Nonlin. Mech 26(3-4):367~378
Coskun, I. / 1999 / Nonlinear vibrations of a beam on an elastic foundation / J. Sound Vib 223:335~354
Ding, H. / 2012 / Convergence of Galerkin truncation for dynamic response of finite beams on nonlinear foundations under a moving load / J. Sound Vib 331:2426~2442
Boyaci, H. / 1997 / A comparison of different versions of the method of multiple scales for partial differential equations / J. Sound Vib 204(4):595~607
Cheung, Y. K. / 1991 / A modified Lindstedt Poincare method for certain strongly nonlinear oscillators / Int. J. Nonlin. Mech 26(3-4):367~378
Coskun, I. / 1999 / Nonlinear vibrations of a beam on an elastic foundation / J. Sound Vib 223:335~354
Ding, H. / 2012 / Convergence of Galerkin truncation for dynamic response of finite beams on nonlinear foundations under a moving load / J. Sound Vib 331:2426~2442
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