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The Elasto-Plastic Response Analysis of A Beam under Dynamic Loadings

机译:动载荷作用下梁的弹塑性响应分析

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摘要

The elastorplastic analysis of beams under dynamib loadings has been done by many investig-ators. However, since actual characteristics of the bending moment~curvature relation have not yet been clarified for arbitrarily varied cyclic loads, idealized hysteresis models such as the elastic~perfectly plastic or the bilinear ones have been used for practical analysis. Therefore, the obtained results may not necessarily give the accurate actual behaviors of beams. Previously, it was shown that the prediction of stress~strain relationship of annealed low carbon steel under arbitrarily varied uniaxial cyclic loadings is possible by means of producing the computer program based on the experimental results by the author and other. In this paper the dynamic elasto-plastic analysis of simply supported beam is presented by using above-mentioned actual stress~strain relationship to determine the moment~curvature relations. The differential equations of motion are solved by means of a single step forward integration procedure. Results obtained from two different conditions of loading are shown and compared with the responses of corresponding beam with bilinear characteristics.
机译:许多研究人员已经完成了在dynamib荷载作用下梁的弹塑性分析。但是,由于对于任意变化的循环载荷尚未明确弯矩与曲率关系的实际特性,因此,将理想的磁滞模型(如弹性至完全塑性或双线性模型)用于实际分析。因此,所获得的结果可能不一定能给出光束的准确实际行为。以前的研究表明,根据作者等人的实验结果,通过产生计算机程序,可以预测低碳退火钢在任意变化的单轴循环载荷下的应力应变关系。本文利用上述实际应力-应变关系确定弯矩-曲率关系,对简支梁进行了动力弹塑性分析。运动的微分方程通过单步正向积分过程求解。显示了从两种不同的加载条件获得的结果,并将其与具有双线性特征的相应梁的响应进行了比较。

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  • 年度 1973
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