Abstract Polynomial-type mathematical models were presented to describe the nonlinear self-excited forces of nonlinear single degree of freedom (SDOF) torsional flutter of bluff bridge decks and nonlinear coupled flutter of streamline-like flat closed box bridge decks. A full bridge analysis method for nonlinear SDOF torsional flutter of long span bridges with bluff decks was then proposed based on the aeroelastic strip theory, and verified via wind tunnel test of full bridge aeroelastic model. A full bridge analysis method of nonlinear coupled flutter of long span bridges was also established based on the aeroelastic strip theory and an approximate linear complex-modal decomposition (ALCMD), and was applied then to the nonlinear coupled flutter analysis of a 688m main-span cable-stayed bridge. The analysis results show that behaviors of self-limiting and single-frequency oscillation of the nonlinear coupled flutter can be exhibited by using the proposed coupled flutter analysis approach. A new concept of performance-based graded evaluation and fortification criteria against flutter of long span bridges was then put forward for further discussions, which will possibly be an important and prosperous field of future applications of the nonlinear flutter theory. To this end, some challenging issues was discussed for further developing nonlinear flutter theory.

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大跨度桥梁非线性颤振理论的最新进展、未来应用与挑战

摘要 提出了多项式型数学模型来描述钝性桥面板非线性单自由度(SDOF)扭转颤振和流线型扁平封闭箱型桥面板非线性耦合颤振的非线性自激力。基于气动弹性条带理论，提出了一种非斜面大跨度桥梁非线性单自由度扭转颤振全桥分析方法，并通过全桥气动弹性模型风洞试验进行验证。基于气动弹性条带理论和近似线性复模态分解(ALCMD)，建立了大跨度桥梁非线性耦合颤振全桥分析方法，并将其应用于688m主跨桥梁非线性耦合颤振分析斜拉桥。分析结果表明，所提出的耦合颤振分析方法可以表现出非线性耦合颤振的自限性和单频振荡行为。随后提出了一种基于性能的大跨度桥梁颤振分级评价和加固标准的新概念，供进一步讨论，这可能是非线性颤振理论未来应用的一个重要和繁荣的领域。为此，讨论了一些具有挑战性的问题，以进一步发展非线性颤振理论。随后提出了一种基于性能的大跨度桥梁颤振分级评价和加固标准的新概念，供进一步讨论，这可能是非线性颤振理论未来应用的一个重要和繁荣的领域。为此，讨论了一些具有挑战性的问题，以进一步发展非线性颤振理论。随后提出了一种基于性能的大跨度桥梁颤振分级评价和加固标准的新概念，供进一步讨论，这可能是非线性颤振理论未来应用的一个重要和繁荣的领域。为此，讨论了一些具有挑战性的问题，以进一步发展非线性颤振理论。