The Linear Interpolation Approach (LInA), an approach to speed up the Successive Response Surface Method

2020 ◽  
Vol 62 (6) ◽  
pp. 3287-3300
Author(s):  
Alexander Timmer ◽  
Rainer Immel ◽  
Lothar Harzheim
2019 ◽  
Vol 950 ◽  
pp. 117-122
Author(s):  
Umut Bektimirova ◽  
Eldar Sharafutdinov ◽  
Aidana Tleuken ◽  
Chang Seon Shon ◽  
Di Chuan Zhang ◽  
...  

The main goal of this study was to optimize the compressive strength of reactive powder concrete (RPC) for an energy storage pile application using response surface method (RSM). The compressive strength of 9 different RPC mixtures along with 3 plain concrete mixtures was determined. Silica fume (SF) content and the water-to-binder ratio (w/b) were selected as parameters to influence the compressive strength of the concrete mixture. RSM regression analysis was used to develop a prediction model of compressive strength. Based on test results and linear interpolation, the combination of 20.46% SF and w/b=0.20 was determined to achieve the highest compressive strength.


2012 ◽  
Vol 532-533 ◽  
pp. 724-727
Author(s):  
Wei Tao Zhao ◽  
Tian Jun Yu ◽  
Yi Yang

The response surface method (RSM) is widely used to alleviate the computational burden of engineering analyses. For reliability analysis, the common approach in the RSM is to use a linear interpolation technique. However, the experimental points are all arranged using the classical RSM in each process of interpolation. Therefore, the number of experimental points is large that resulting in the efficiency is lower. In this study, an improvement of the RSM for structural reliability analysis has been proposed based on the technique of successive linear interpolation. As seen from the example, the proposed method yields better results than those of the classical RSM, and the number of experimental points using the proposed method is less than that of classical RSM. It seems that the proposed method improves the convergence speed and reduces the computational effort.


2014 ◽  
Vol 134 (9) ◽  
pp. 1293-1298
Author(s):  
Toshiya Kaihara ◽  
Nobutada Fuji ◽  
Tomomi Nonaka ◽  
Yuma Tomoi

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