Optimal Design and Environmental Effects on Vibration of FRP Structures

FRP结构振动优化设计及环境影响

• 批准号: 14550206
• 负责人: YAMADA Gen
• 金额: $ 1.86万
• 依托单位: HOKKAIDO UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2002
• 资助国家: 日本
• 起止时间: 2002 至 2003
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14550206/
• 关键词: Composite Material; Reinforced Plate; Optimal Design; Vibration Analysis; Continuous Systems

An optimal design and environmental effects on vibration of steel structures reinforced by fiber-reinforced plastic (FRP) sheets were studied. FRP sheets used in this study are pasted on a structure using epoxy resin, which hardens at normal temperature. Free vibrations of structures reinforced by FRP sheets were analyzed by the Ritz method. Displacement functions that satisfy the continuous conditions of displacement and slope at stepped cross sections were used as admissible functions for the Ritz method. We discussed differences between results by using Euler and Timoshenko beam theories based on classical lamination theory. In the optimal design, both stiffness and damping characteristics were taken into account. To improve vibration characteristics, the design variables were determined by using an optimization technique. We proposed an objective function that took into account both stiffness and damping characteristics. Effects of temperature on vibrations of the structure were considered by introducing axial force. The axial force is yielded by axial elongation or compression. The results of numerical study were verified by comparison with results of experiments. It is difficult to specify the material properties of FRP. Values of parameters were estimated by using a simple genetic algorithm (GA). Numerical results showed good agreements with those obtained by experiments.

研究了纤维增强塑料（FRP）加固钢结构的优化设计及其环境效应。在这项研究中使用的玻璃钢片材粘贴在结构上使用环氧树脂，在常温下硬化。用里兹法分析了FRP布加固结构的自由振动。位移函数，满足连续条件的位移和斜率在阶梯横截面被用作容许函数的里兹方法。讨论了基于经典层合板理论的Euler梁理论和基于经典层合板理论的Eulshenko梁理论计算结果之间的差异。在优化设计中，同时考虑了刚度和阻尼特性。为了改善振动特性，通过使用优化技术确定设计变量。我们提出了一个目标函数，同时考虑到刚度和阻尼特性。通过引入轴向力，考虑了温度对结构振动的影响。轴向力由轴向伸长或压缩产生。通过与实验结果的比较，验证了数值计算结果的正确性.很难规定FRP的材料特性。参数的值估计，通过使用一个简单的遗传算法（GA）。数值计算结果与实验结果吻合较好。

项目成果

Kobayashi, Y., Yamada G., Nakanishi, M.: "Simultaneous Optimal Design of Stiffness and Damping of a Flexible Structure Reinforced by FRP Sheets"Proc.The Fourth International Symposium on Vibration of Continuous Systems. 20-22 (2003)

Kobayashi, Y.、Yamada G.、Nakanishi, M.：“FRP 板增强柔性结构的刚度和阻尼的同时优化设计”Proc.第四届连续系统振动国际研讨会。

Kobayashi, Y., Yamada G., Nakanishi, M.: "Simultaneous Optimal Design of Stiffness and Damping of a Flexible Structure Reinforced by FRP Sheets"Proc.The Fourth Int.Symposium on Vibration of Continuous Systems. 20-22 (2003)

Kobayashi, Y.、Yamada G.、Nakanishi, M.：“FRP 板增强柔性结构的刚度和阻尼的同时优化设计”Proc.第四届连续系统振动国际研讨会。

Kobayashi, Y., Nakanishi, M., Yamada: "Vibration analysis of flexible structures reinforced by FRP sheets"Proc.The Tenth Asia-Pacific Vibration conference. 295-300 (2003)

Kobayashi, Y.、Nakanishi, M.、Yamada：“FRP 板增强柔性结构的振动分析”，第十届亚太振动会议。

Kobayashi, Y., Nakanishi, M., Yamada, G.: "Vibration analysis of flexible structures reinforced by FRP sheets"Proc.The Tenth Asia-Pacific Vibration Conference. 295-300 (2003)

Kobayashi, Y.、Nakanishi, M.、Yamada, G.：“FRP 板增强柔性结构的振动分析”，第十届亚太振动会议。