遗传算法在中重型旋转设备基础优化中的应用

Nulu Reddeppa, B. Jayarami Reddy, H. Sudarsana Rao
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引用次数: 0

摘要

结构优化设计包括处理三个主要因素:构件的可见横截面性能、拓扑结构和结构以及满足预期的功能要求。传统的优化技术大多是基于数学规划技术,假设变量是连续的,而结构设计过程通常具有有限的、往往是大量的离散变量的特征。遗传算法是一种可以有效地用于离散变量结构设计优化的技术。从以往关于遗传算法在土木工程中的应用的研究中,我们注意到,在旋转机械基础中,遗传算法的应用并没有被尝试,因为旋转机械基础有确定合适的最佳形状和构件尺寸的余地,以实现良好的基础调谐。机器基础动力设计涉及的标准很广泛,如基础固有频率应远离机器工作频率,基础位移幅值应完全在规定的允许范围内。上述准则在很大程度上取决于构件尺寸、基础形状、混凝土等级和土壤特性等设计因素。目前,通过改变上述四个设计因素来获得满足频率和幅度标准的最合适解需要进行多次人工试验。这涉及到大量的计算机和人的努力,尝试各种组合,以达到解决方案。需要花费大量的资源和时间来获得合适的解决方案。然而,这样得出的解决方案可能不是最优的解决方案。本文将遗传算法应用于工业中重型旋转设备地基求解时间和地基体积的优化。以频率为目标准则,得到上述变量的最优解。通过有限元模型研究,进一步验证了遗传算法得到的最优解符合预期的功能参数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Application of Genetic Algorithms to Optimization of Medium and Heavy Rotating Equipment Foundations
: Optimal structural design involves dealing with three main factors visibly cross-sectional properties of the members, topology and configuration and meeting the intended functional requirements. Most of the traditional optimization techniques are based on the mathematical programming techniques, which assume that the variables are continuous, but whereas the process of structural design is generally characterized by finite often large numbers of variables of discrete in nature. Genetic Algorithm is the technique which can be used efficiently for the design optimization of the structure with discrete variables. From the study on previous work done on GA’s application in civil engineering, it has been noticed that application of GA’s is not attempted in rotating machine foundations where there is scope for determining suitable optimum shape and member sizes to achieve a well-tuned foundation. Dynamic design of machine foundation involves broad criterion such as foundation natural frequency shall be away from the machine operating frequency and foundation displacement amplitudes shall be well within the specified allowable limits. The above criterion largely depends on design factors such as size of members, shape of the foundations, concrete grade and soil characters. Presently obtaining a best suitable solution meeting the frequency and amplitude criteria by varying above four design factors involves many manual trails. This involves lot of computer and human efforts to try various combinations to arrive at the solution. Considerable resources and time need to be spent on arriving a suitable solution. Yet the solution so arrived may not be an optimum solution. In this work, Genetic algorithms is applied for optimization of solution time and foundation volume for industrial medium and heavy rotating equipment foundations. Optimum solution is obtained with above variables by setting frequency as target criteria. The optimum solution obtained from Genetic Algorithms is further verified for its compliance to its intended functional parameters by means of finite element model study.
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