Abstract
The paper studies the vibration behavior of a concrete structure, currently used in civil engineering. The truss structure considered has symmetries that can be used to facilitate both the design and construction of the building. Moreover, the symmetries encountered can be used to simplify the calculation of vibrations of the system. Based on the mechanical model built, eigenvalues and eigenvectors of such mechanical system are determined, and properties, specific to these symmetries, are identified. In this way, the dynamic analysis of the structure can be simplified and also, the design as well as the costs related to this stage.
Highlights
Response of a Concrete StructureSymmetries are common in civil engineering, in all types of buildings and constructions
In the field of engineering, the identification of systematic and efficient strategies for using the properties involved by different types of symmetries in determining the static or dynamic response of mechanical structures has allowed a development of theoretical group methods, which has happened especially in the last four decades
The concrete truss is clamped at the lower end and can have torsional vibrations and the four bars at the top can bend in the horizontal plane
Summary
Symmetries are common in civil engineering, in all types of buildings and constructions. Advantages are offered in the case of vibration calculation where it is found that the number of operations that can be performed for such an analysis can be significantly reduced [2,3] All these elements can lead to lower costs related to structures that have symmetries. Modern building solutions for industrial warehouses, exhibition halls, sports complexes, public meeting places, or other modern facilities require large roofs and the solution commonly used at this time is that of layered spatial grids (double or triple layer configurations) These constructions have, in the current solutions, a high degree of symmetry, at a modular and global level. In the field of engineering, the identification of systematic and efficient strategies for using the properties involved by different types of symmetries in determining the static or dynamic response of mechanical structures has allowed a development of theoretical group methods, which has happened especially in the last four decades. In the case of the work, it is considered a situation that can often be encountered in the construction of buildings, namely, that of a concrete pillar, embedded at the base and connected by four identical bars to the rest of the construction
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