钢筋混凝土框架动力稳定的空间问题研究

V. Fomin, І. Fomina
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引用次数: 0

摘要

摘要本文提出了一种在地震和操作动力冲击参数(频率和振幅)的空间中构造钢筋混凝土框架动力失稳区域的方法,这些参数在时间上周期性变化,导致结构杆的纵向力的出现,当这些参数的值在失稳区域时,横向振动的振幅无限增加。通过具体算例验证了该方法的有效性,该方法考虑了具有两个集中质量的П-shaped框架在垂直周期性力作用下的动力稳定性空间问题。这些力在框架的垂直杆上产生周期性的纵向力。构造了框架的动力失稳区域。从人类活动的角度来看,波动可能是有益的,也可能是有害的。我们可以观察到各种建筑物、结构、桥梁的振动,这些振动会引起这些结构的附加应力和变形,对它们的安全运行产生有害影响。过于剧烈的波动会导致严重的后果。这导致结构的单个元素的破坏,并作为一个结果,事故。在地震和爆炸中观察到振动最具破坏性的影响。振动的研究具有重要的实际意义。这通过限制波动的水平来避免不必要的影响。只有在深入研究各种振动的基础上,才能解决结构动力学中的重要实际问题。求解动力学问题是一个复杂的问题。与静态计算相反,在研究振荡时,必须考虑另一个因素——时间。结构的动力设计是指结构在静动力和动动力共同作用下的承载能力。一个结构可以看作是一个系统,它有无限多的基本质量分布在它上面,有无限大的动态自由度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
STUDY OF SPATIAL PROBLEMS OF DYNAMIC STABILITY OF REINFORCED CONCRETE FRAMES
Abstract. The article proposes a method for constructing areas of dynamic instability of reinforced concrete frames in the space of parameters (frequency and amplitude) of seismic and operational dynamic impacts that cause the appearance of longitudinal forces in the bars of structures, which periodically change in time and lead to an unlimited increase in amplitudes of transverse vibrations when the values of these parameters are in the areas of instability. The proposed method is demonstrated by a specific example, which considers the spatial problem of dynamic stability of a П-shaped frame with two concentrated masses located on it, which are under the action of vertical periodic forces. These forces create periodic longitudinal forces in the vertical rods of the frame. Areas of dynamic instability of the frame are constructed. From the point of view of human activity, fluctuations can be both beneficial and harmful. We can observe vibrations of various buildings, structures, bridges, which cause additional stresses and deformations of these structures, have a harmful effect on their safe functioning. Too intense fluctuations lead to serious consequences. This leads to the destruction of individual elements of the structure and, as a result, to accidents. The most destructive effect of vibrations is observed during earthquakes and explosions. The study of vibrations is of great practical importance. This avoids the unwanted effects of fluctuations by limiting their level. Only on the basis of a deep study of various types of vibrations can important practical problems of the dynamics of structures be solved. Solving dynamics problems is a complex problem. In contrast to static calculation, when studying oscillations, one has to take into account an additional factor – time. The dynamic design of structures provides them with bearing capacity under the combined action of static and dynamic loads. A construction will be considered as a system with an infinite number of elementary masses distributed over it with an infinitely large number of dynamic degrees of freedom.
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