Purpose

Variable thickness plates are commonly seen in aircraft wings, turbine disks and reinforcement sheets. The dynamic properties of the variable thickness plates in the aerodynamic environment and subjected to external excitations are significant for the safety and optimal design of these structures.

Methods

In this paper, the stability and nonlinear vibration of variable thickness plates are investigated. Based on the nonlinear plate theory and linear potential flow theory, the coupling equations of variable thickness plate and subsonic airflow are established. The subsonic aerodynamic stability is analyzed by calculating the inherent frequencies of the system at different airflow velocity speeds, and the nonlinear dynamical behavior of the system is analyzed by the incremental harmonic balance method (IHB).

Results

The effects of airflow velocity, taper coefficient, and thickness variation form of the variable thickness plate on vibration stability and nonlinear vibration behaviors are discussed. In the study, novelty nonlinear dynamic properties such as the hard nonlinear phenomena, loopback linearity, and internal resonance phenomena can be observed, and the stability of the vibration becomes worse when the airflow velocity, taper coefficient, and form of variation are varied.

Conclusions

The study can provide some suggestions for the optimal design of variable thickness plates in aerodynamic environments.

中文翻译：

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粘弹性 CNT-CFRP 混合球壳结构振动参数的有限元建模

目的

可变厚度板常见于飞机机翼、涡轮盘和加固板。变厚度板在气动环境中以及受到外部激励时的动态特性对于这些结构的安全性和优化设计具有重要意义。

方法

本文对变厚度板的稳定性和非线性振动进行了研究。基于非线性板理论和线性势流理论，建立了变厚度板与亚音速气流的耦合方程。通过计算不同气流速度下系统的固有频率来分析亚音速气动稳定性，并通过增量谐波平衡法（IHB）分析系统的非线性动力学行为。

结果

讨论了气流速度、锥度系数和变厚度板厚度变化形式对振动稳定性和非线性振动行为的影响。在研究中，可以观察到新奇的非线性动态特性，例如硬非线性现象、环回线性和内部共振现象，并且当气流速度、锥度系数和变化形式变化时，振动的稳定性变得更差。

结论

该研究可为气动环境下变厚度板的优化设计提供一些建议。