Steel and Composite Structures

  • 제26권4호
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  • Pages.453-461
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  • 2018
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Nonlinear vibration of unsymmetrical laminated composite beam on elastic foundation

  • Pakar, I. (Mashhad Branch, Islamic Azad University) ;
  • Bayat, M. (Roudehen Branch, Islamic Azad University) ;
  • Cveticanin, L. (Faculty of Technical Sciences, Novi Sad, University of Novi Sad)
  • 투고 : 2017.09.25
  • 심사 : 2017.12.07
  • 발행 : 2018.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, nonlinear vibrations of the unsymmetrical laminated composite beam (LCB) on a nonlinear elastic foundation are studied. The governing equation of the problem is derived by using Galerkin method. Two different end conditions are considered: the simple-simple and the clamped-clamped one. The Hamiltonian Approach (HA) method is adopted and applied for solving of the equation of motion. The advantage of the suggested method is that it does not need any linearization of the problem and the obtained approximate solution has a high accuracy. The method is used for frequency calculation. The frequency of the nonlinear system is compared with the frequency of the linear system. The influence of the parameters of the foundation nonlinearity on the frequency of vibration is considered. The differential equation of vibration is solved also numerically. The analytical and numerical results are compared and is concluded that the difference is negligible. In the paper the new method for error estimation of the analytical solution in comparison to the exact one is developed. The method is based on comparison of the calculation energy and the exact energy of the system. For certain numerical data the accuracy of the approximate frequency of vibration is determined by applying of the suggested method of error estimation. Finally, it has been indicated that the proposed Hamiltonian Approach gives enough accurate result.

키워드

참고문헌

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피인용 문헌

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