Structural Dynamic Optimization for Carriage of Gantry Machining Center Using Orthogonal Experimental Design and Response Surface Method

基於正交試驗和响應面法的龍門加工中心拖板結構動態優化設計

劉世豪(Shi-Hao Liu) ； 葉文華(Wen-Hua Ye) ； 樓佩煌(Pei-Huang Lou) ； 唐敦兵(Dun-Bing Tang) ； 黃俊桂(Jun-Gui Huang)

《中國機械工程學刊》 33卷3期 (2012/06) Pp. 211-219

https://doi.org/10.29979/JCSME.201206.0004

摘要

為了提高龍門加工中心的加工精度，拖板必須具有較高的抗振性，同時質量應盡可能輕。以一種精密龍門加工中心的拖板為研究對象，在有限元素模態分析的基礎上，以拖板的質量和前四階加權固有頻率為目標函數、筋板厚度為設計變量建立多目標優化數學模型。運用正交試驗設計法進行試驗，建立了拖板的多目標優化的二階響應面模型，任取四組響應面計算值與有限元素模型計算值進行對比分析驗證了響應面模型之準確性。對拖板的響應面優化模型進行求解，獲得多目標優化設計的最優解，從而使拖板質量下降9.63%，前四階固有頻率分別提高6.48%、7.41%、8.36%、10.32%。最後，通過靜態和動態試驗驗證了本文所提出的拖板優化設計方法的正確性。

並列摘要

In order to improve the machining precision, the carriage of the gantry machine tool must have high anti-vibration performance, and its mass should be as light as possible. Based on the finite element modal analysis, a precision gantry machine tool's carriage was taken as the study object, and a multi-objective optimization mathematical model of the carriage was built by taking the mass and the first four order natural frequencies of the carriage as the objective functions, and the thickness of stiffener plates as the design variables. The second-order response surface model for carriage's multi-objective optimization was established through orthogonal experimental design. The accuracy of the response surface model was verified by comparing the response surface model with finite element model. The optimal solution of carriage multi-objective optimization was obtained by solving the response surface optimization model, which made carriage's mass decreasing 9.63%, the first four natural frequencies increasing 6.48%, 7.41%, 8.36% and 10.32% respectively. Finally, the correctness of carriage's optimization design method proposed in this paper was verified by the static and dynamic experiments.

並列關鍵字

gantry machining center ； machine tool carriage ； modal analysis ； orthogonal experimental design ； response surface method ； multi-objective optimization