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Mathematical modeling of gantry cranes under seismic excitation and verification with shake table tests
Mechanics Based Design of Structures and Machines ( IF 2.9 ) Pub Date : 2021-08-25 , DOI: 10.1080/15397734.2021.1967167
C. Oktay Azeloglu 1 , Hamit Kenan 1 , Ayşe Edincliler 2
Affiliation  

Abstract

Assessment of dynamic behavior of the gantry cranes by using mathematical modeling and shaking table tests is the subject of this study. In this context, the study was carried out in two stages through theoretical and experimental studies. In the theoretical study, a four degrees-of-freedom nonlinear mathematical model which represents the seismic behavior of gantry cranes was developed. In the experimental study, a 1/50 scaled crane model of a prototype crane with respect to dynamic equivalence principle was designed and constructed. Within the scope of theoretical and experimental study, the real earthquake and sine sweep motions were used as input data. To verify the mathematical model, the results of the experimental study were used. Comparison of the mathematical model with the experimental study for the gantry crane structure showed reasonable results. This study shows that dynamic analysis can be done with mathematical modeling of this kind of cranes theoretically. In this way, the dynamic analysis required for a crane which is still in the design phase will be made in a short time and it will be possible to apply the necessary changes and see their effects.



中文翻译:

地震激励下门式起重机数学建模及振动台试验验证

摘要

本研究的主题是通过数学建模和振动台试验评估门式起重机的动态行为。在此背景下,本研究分理论研究和实验研究两个阶段进行。在理论研究中,建立了代表门式起​​重机抗震性能的四自由度非线性数学模型。在实验研究中,根据动态等效原理设计并建造了1/50比例的原型起重机模型。在理论和实验研究的范围内,真实的地震和正弦扫描运动被用作输入数据。为了验证数学模型,使用了实验研究的结果。数学模型与门式起重机结构试验研究的比较显示出合理的结果。研究表明,理论上可以通过对该类起重机的数学建模进行动力学分析。这样,仍处于设计阶段的起重机所需的动态分析将在短时间内进行,并且可以应用必要的更改并查看其效果。

更新日期:2021-08-25
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