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评估ATAM计算效率提高程度的新算法

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Date of Publication:2022-10-07

Journal:Zhendong yu Chongji/Journal of Vibration and Shock

Affiliation of Author(s):电子信息与电气工程学部

Volume:40

Issue:7

Page Number:62-67 and 118

ISSN No.:1000-3835

Abstract:The method of time step automatic adjustment proposed in "The time step automatic adjustment method with synchronous change of load" is a beneficial attempt in the field of prior error evaluation, it is called the apriori time adaptive method (ATAM). In process of using ATAM, it is generally difficult to obtain analytical solutions. Therefore, it is impossible to evaluate the improvement degree of calculation efficiency after applying ATAM in numerical computing programs. Here, a method to solve this problem was proposed and verified. Then, a simplified evaluation algorithm was further proposed, and a calculation formula to estimate the improvement degree of computing efficiency was deduced. It was shown that according to this calculation formula, the minimum time step is not needed to be substituted into the original numerical program for improving the computing efficiency; using the new evaluation algorithm can directly improve the computing efficiency and save a lot of computing costs; the practicability and effectiveness of the new evaluation algorithm are verified. © 2021, Editorial Office of Journal of Vibration and Shock. All right reserved.

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