Semi-active vibration control method of nonlinear system of long-span cable bridge structure

Abstract

The invention relates to a semi-active vibration control method of a nonlinear system of a long-span cable bridge structure. The method includes the following steps that first, a buffeting force load model acting on the long-span cable bridge structure is established; second, a long-span cable bridge structure vibration control system model is established; third, composite performance indexes described by the formula 3 are selected; fourth, the maximum principle is carried out on the formula 2 and the formula 3; fifth, the optimum vibration control law is solved. According to the method, the nonlinear dynamic characteristics of the long-span cable bridge structure are taken into consideration, and thus a control system closer to the reality is established; a reasonable solution of a controller is used, the optimum vibration control law has good vibration reducing effect on the nonlinear system of the long-span cable bridge structure, and thus the method can adapt to control over long-space cable bridges with large-amplitude vibration better.

Description

technical field [0001] The invention relates to a vibration control method, in particular to a semi-active vibration control method for a nonlinear system of a large-span cable bridge structure. Background technique [0002] Bridges play an irreplaceable role in the transportation system and have important values ​​in politics, economy, culture and military. Although my country's transportation system has been greatly developed, it is still difficult to meet the growing traffic demand, and the transportation infrastructure is under tremendous pressure. Coupled with the frequent occurrence of extreme weather and geological disasters in my country in recent years, accidents and dangers frequently occur in bridge structures in my country's transportation system. The bridge structure is subject to various loads, resulting in severe structural vibration. The vibration of the bridge structure not only reduces the quality of the driving environment, but also accelerates the mechan...

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Problems solved by technology

[0004] In the process of constructing the vibration control system of the bridge structure, the linear model is suitable for small-amplitude vibration. For the strong vibration load (such as earthquake, etc.) acting on the structure, in addition, the long-span cable bridge structure often has material nonlinearity. , geometric nonlinearity and other characteristics, the linear model is no longer applicable

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