热声载荷下高温合金薄壁结构非线性动态响应特性  

Characteristics of nonlinear dynamic response of high temperature alloy thin-walled structures under thermo-acoustic loadings

作　　者：朱林 王晓飞[2] 

机构地区：[1]中国南方航空工业(集团)有限公司,株洲412000 [2]北京机电工程研究所,北京100074

出　　处：《航天器环境工程》2015年第3期252-259,共8页Spacecraft Environment Engineering

摘　　要：针对航空航天薄壁结构热声疲劳问题,采用解析法和有限元法相结合,研究矩形薄板样件的非线性动态响应特性。首先,推导了四边简支矩形板在热声载荷下的四阶非线性偏微分大挠度运动方程,并利用伽辽金法将其转化为模态坐标系下的二阶微分方程组;对该方程组进行单自由度简化,计算并分析了平面温度与温度梯度对矩形板振动响应的影响。然后,采用有限元方法计算出四边简支矩形钛合金板在不同温度下的模态频率,以及定常声压级、不同温度下的振动位移和应力响应,并着重对位移功率谱密度进行了详细分析。基于上述计算结果,对响应基频随温度变化关系进行了对比分析,并研究了矩形板屈曲和跳变响应特征。In view of the thermo-acoustic fatigue of aerospace thin-walled structures, the characteristics of thenonlinear dynamic response of thin-walled plates are investigated with the analytical method combined with the FEMnumerical method. Firstly, the partial differential equations of motion for the nonlinear large deflection are derived forthe simply-supported rectangular plate, and they are transformed into second order differential equations in modalcoordinates using the Galerkin method. With the simplified equations of single degree of freedom, the influences of thesurface temperature and the temperature gradient on the vibration response of the rectangular plate are calculated andanalyzed. Secondly, with the FEM, the modal frequencies of the simply-supported rectangular plate at differenttemperatures, the vibration displacement and stress under the constant sound pressure level and different temperaturesare calculated, and the displacement power spectrum density is analyzed. Based on the calculated results, therelationship between the fundamental response frequencies and the temperatures is analyzed, furthermore, the bucklingand the snap-through response characteristics are discussed as well.

关 键 词：高温合金薄壁结构 热声载荷 非线性 动态响应 

分 类 号：V214.4[航空宇航科学与技术—航空宇航推进理论与工程] V414.4