基于响应面法的结构动力学模型修正

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (16) : 54-58.

论文

基于响应面法的结构动力学模型修正

鲍诺12，王春洁12，赵军鹏12，宋顺广12

作者信息 +

Model updating of structure dynamics based on response surface methodology

BAO Nuo12 WANG Chun-jie12 ZHAO Jun-peng 12 SONG Shun-guang 12

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文章历史 +

摘要

为了获得精确的结构动力学模型，提出了响应面和优化相结合的方法。利用参数化模型和优化拉丁方试验设计获取样本点构造多项式响应面模型，最小二乘法确定多项式系数并检验响应面的拟合精度。用响应面计算结果与实验结果的误差构造目标函数，自适应模拟退火算法来优化修正响应面参数，将修正后的参数值带入有限元模型得到修正模型。以欧洲航空科技组织的基准模型GARTEUR飞机模型为算例，对比修正前后模态频率，结果表明修正后的模型在测试频段和预测频段具有良好的复现和预测能力，进而验证了基于响应面法与优化方法相结合的结构动力学有限元模型修正的有效性。

Abstract

In order to obtain an accurate structural dynamics model, a method combining the surface response and optimization is proposed. The sample points are acquired by using parametric models and Optimal Latin Hypercube experimental design to construct the polynomial response surface model. The least squares method is used to determine the polynomial coefficients and then test the response surface fitting accuracy. The error between the calculated response surface results and the actual test results is taken as the objective function. Adaptive simulated annealing algorithm is employed to optimize response surface parameters. The updated model is then obtained by substituting optimized parameters into non-updated FEM. The GARTEUR benchmark model of the European Aviation Organization is taken as an example. Comparison of the modal frequencies of non-updated and updated FEM proves the reappearance and prediction ability of the updated FEM, and verifies the effectiveness of the structural dynamics finite element model updating based on the response surface method and optimization method.

导出引用

鲍诺;王春洁;赵军鹏;宋顺广. 基于响应面法的结构动力学模型修正[J]. 振动与冲击, 2013, 32(16): 54-58

BAO Nuo WANG Chun-jie ZHAO Jun-peng SONG Shun-guang . Model updating of structure dynamics based on response surface methodology[J]. Journal of Vibration and Shock, 2013, 32(16): 54-58