Abstract
This study presents the effect of vertical and horizontal oriented cracks on free vibration response for circular and annular thin plates. To investigate the dynamic behavior of the damaged circular structures the cracks are modeled separately considering horizontal/vertical orientations, ten different locations, and four crack sizes. For annular thin plates, vertical and horizontal oriented cracks are placed in the middle between the outer and inner edges to investigate the effect of crack directions. The first five resonant frequencies, and the corresponding mode shapes of the cracked circular and annular plates, are obtained by employing the Finite Element Method. The free vibration analyses are conducted considering clamped boundary conditions for circular plates and clamped-clamped, clamped-free, and free-clamped boundary conditions for annular plates. The results are presented and interpreted considering the differences in the non-dimensional frequencies and the mode shapes of those structures. According to the findings, it is seen that depending on its location and size, a crack can change the mode shapes by accumulating the bending regions around it. Besides, a crack may also change the number of bending regions that occurred in the mode shapes of the circular or annular structures.
Highlights
Engineering structures are designed in such a way that they have to endure to subjected static and dynamic loads
This study measures the impact of the crack on the first five natural frequencies and corresponding mode shapes of the circular and annular plate structures
It has been observed that the characteristics of the crack directly affect the dynamic behavior of the structure, and the structure gains new dynamic characteristics
Summary
Engineering structures are designed in such a way that they have to endure to subjected static and dynamic loads. Structural elements may reveal different behaviors due to their design under dynamic excitation For this reason, understanding the effects of possible damages on engineering structures is of great importance in terms of both determining the location of the damage and being prepared for the consequences that the damage may reveal. Circular, annular, and circular cross-sectioned thin plates have been examined considering various boundary conditions. Some of those works are briefly presented as follows. Khare and Mittal (2015) performed the numerical analysis of a thin circular plate with general boundary conditions
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