On the adequacy of linearized methods for control of nonlinear bridge oscillations

B. F. Spencer, M. K. Sain, J. Suhardjo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, control of nonlinear oscillations of a single-span flexible bridge with light damping is examined to improve bridge safety and reliability. The control forces are applied through a king-post truss tendon mechanism. The nonlinear terms in the equation of motion are geometric in nature and result from inclusion of midplane stretching of the bridge deck in the problem formulation. A quadratic cost function is considered, and an optimal control law is derived which accounts for the nonlinear behavior. The control which is obtained is an infinite series of polynomials in the states and readily allows the importance of the nonlinear terms in the control law to be assessed. It is found that for typical bridge parameters, higher order terms in the control can be neglected with little or no performance degradation. Further, it is shown that a control strategy which eliminates the nonlinear response of the structure is not necessarily optimal.

Original languageEnglish (US)
Title of host publicationProc ICOSSAR 89 5th Int Conf Struct Saf Reliab
PublisherPubl by ASCE
Pages1435-1442
Number of pages8
ISBN (Print)0872627438
StatePublished - Dec 1 1989
Externally publishedYes
EventProceedings of ICOSSAR '89, the 5th International Conference on Structural Safety and Reliability, Part I - San Francisco, CA, USA
Duration: Aug 7 1989Aug 11 1989

Publication series

NameProc ICOSSAR 89 5th Int Conf Struct Saf Reliab

Other

OtherProceedings of ICOSSAR '89, the 5th International Conference on Structural Safety and Reliability, Part I
CitySan Francisco, CA, USA
Period8/7/898/11/89

ASJC Scopus subject areas

  • Engineering(all)

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