长柔结构弯扭耦合颤振临界风速改进正则摄动高阶展开预测方法和系统
By using an improved regular perturbation high-order expansion method, the problem of solving the equal frequency condition in the prediction of critical wind speed for bending-torsional coupling flutter of long and flexible structures is solved. It realizes the explicit expression of the analytical solution, simplifies the calculation and clearly reveals the influence of parameters, and is applicable to the wind-resistant design of long-span bridges and other structures.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- CHONGQING UNIV
- Filing Date
- 2026-05-26
- Publication Date
- 2026-07-17
AI Technical Summary
Existing perturbation methods struggle to handle conditions with equal or similar frequencies in predicting critical wind speeds for bending-torsional coupled flutter in long, flexible structures, leading to difficulty in solving the problem or even failure. Furthermore, traditional methods cannot clearly reveal the influence mechanism of parameters on flutter instability.
An improved method for canonical perturbation high-order expansion is proposed. By distinguishing frequency conditions, an explicit analytical solution is derived, the bridge motion control matrix equation is constructed and perturbation expansion is performed, long-term terms are eliminated, and eigenvalues and eigenvectors are solved step by step to explicitly express the modal frequency, damping ratio and phase difference. This method is applicable to both equal and unequal frequency conditions.
It achieves efficient and accurate prediction under different frequency ratio conditions, simplifies the calculation process, clearly reveals the contribution mechanism of structural parameters to flutter instability, and provides a scientific basis for wind-resistant design.
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Figure CN122263252B_ABST