梁在蠕变条件下的纯弯曲反问题

IF 0.58 Q3 Engineering

Journal of Applied and Industrial Mathematics Pub Date : 2023-08-07 DOI:10.1134/S1990478923020047

S. V. Boyko, A. Yu. Larichkin

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引用次数: 0

摘要

提出了一种利用Nelder-Mead算法求解蠕变条件下构件成形反问题的算法。最初的问题是寻找必须施加的力以获得所需的曲率，这被简化为一系列辅助的直接问题，即对矩形梁的纯弯曲应力-应变状态进行建模。该模型考虑了材料在拉伸和压缩方面的性能差异以及材料在蠕变过程中存在的累积损伤，并通过数值方法进行了验证，并在有限元程序MSC Marc中实现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Inverse Problem of Pure Bending of a Beam under Creep Conditions

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Inverse Problem of Pure Bending of a Beam under Creep Conditions

We propose an algorithm for solving the inverse problem of forming structural members under creep conditions using the Nelder–Mead algorithm. The initial problem of finding the forces that must be applied to obtain the desired curvature of a part is reduced to a sequence of auxiliary direct problems of modeling the stress-strain state of pure bending of rectangular beams. This model, taking into account the difference in the properties of the material in tension and compression as well as the presence of accumulated damage in the material during creep, was verified by numerical methods and implemented in the finite element program MSC Marc.

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来源期刊

Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.