Vibration analysis of beams subjected to random excitation by the dual criterion of equivalent linearizationVibration analysis of beams subjected to random excitation by the dual criterion of equivalent linearization

Authors

  • Nguyen Nhu Hieu Institute of Mechanics, Vietnam Academy of Science and Technology, 264 Doi Can Str., Ba Dinh Dist., Hanoi, Vietnam
  • Nguyen Dong Anh Institute of Mechanics, Vietnam Academy of Science and Technology, 264 Doi Can Str., Ba Dinh Dist., Hanoi, Vietnam
  • Ninh Quang Hai Hanoi Architectural University, Km 10, Nguyen Trai Str., Thanh Xuan Dist., Hanoi, Vietnam

DOI:

https://doi.org/10.15625/0866-7136/38/1/6629

Keywords:

Random vibration, equivalent linearization, dual criterion, modal response, nonlinear beam

Abstract

In this paper responses of beams subjected to random loading are analyzed by the dual approach of the equivalent linearization method. The external random loading is assumed to be a space-wise and time-wise white noise in which the exact solutions of the modal equations can be found. A system of nonlinear algebraic equations for linearization coefficients of the modal linearized system is obtained in a closed form and is solved by the fixed-point iteration method. Results obtained from the proposed dual criterion are compared with the exact solution and those obtained from other approaches including energy method, and conventional linearization method. It is observed that the solution obtained by the dual criterion is in good agreement with the exact solution, especially, in the case of strong nonlinearity of beam.

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Published

15-03-2016

How to Cite

Hieu, N. N., Anh, N. D., & Hai, N. Q. (2016). Vibration analysis of beams subjected to random excitation by the dual criterion of equivalent linearizationVibration analysis of beams subjected to random excitation by the dual criterion of equivalent linearization. Vietnam Journal of Mechanics, 38(1), 49–62. https://doi.org/10.15625/0866-7136/38/1/6629

Issue

Section

Research Paper

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