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摘要
为提高具有内埋质量升力面的颤振速度，将其简化为带集中质量的矩形悬臂板。基于假设模态法和一阶活塞理论得到颤振模型，进而考察其颤振特性。首先，基于Kirchhoff薄板理论建立矩形悬臂板的结构动力学模型，并利用假设模态法得到带内埋质量时的模态属性。其次，引入一阶活塞理论近似求解在超声速条件下的模态气动力，代入结构动力学模型得到颤振方程的时域表达。最后，通过引入指数形式的模态位移将颤振方程变换至频域并通过 法求解颤振速度和颤振频率。通过改变内埋件的位置、质量和数目等参数，得到其对超声速悬臂板颤振特性的影响规律。研究结果表明，在悬臂板前缘靠近翼梢区域内埋小质量物体可有效提高升力面的颤振速度，而在翼根附近，颤振速度对内埋质量的变化不敏感。
关键词
颤振
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内埋质量
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活塞理论
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假设模态法
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超声速悬臂板
Key words
flutter
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embedded mass
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piston theory
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the assumed mode method
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supersonic cantilever plate
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祁武超,俞浩洋,田素梅,刘宏亮.
带内埋质量超声速悬臂板的颤振特性[J].
沈阳航空航天大学学报, 2024, 41(2): 1-13 DOI:10.3969/j.issn.2095-1248.2024.02.001
基金资助
国家自然科学基金(12002218)
辽宁省教育厅项目(JYT2020034)
京公网安备11010202008535号
