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Dynamic Analysis of Fatigue-Cracked Beams: The Nonlinear Responses with the Analytical Method | ||
| Civil Engineering and Applied Solutions | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 31 اردیبهشت 1404 | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22080/ceas.2025.29000.1002 | ||
| نویسندگان | ||
| Ali Asgari* ؛ Alireza Khabiri | ||
| Department of Civil Engineering, Faculty of Engineering and Technology, University of Mazandaran, Babolsar, Iran | ||
| تاریخ دریافت: 01 اردیبهشت 1404، تاریخ بازنگری: 15 اردیبهشت 1404، تاریخ پذیرش: 22 اردیبهشت 1404 | ||
| چکیده | ||
| In this study, the bending vibration of a fatigue-cracked beam and associated constraint conditions have been solved by implementing the Homotopy Perturbation Method. A structure with a single degree of freedom, varying stiffness, and a periodic function is employed to simulate the dynamic behavior of the beam. The crack is represented as an ongoing disturbance function within the displacement field, which could be obtained from fracture mechanics. The governing equation's solution shows the super harmonics of the dominant frequency, resulting from nonlinear impacts on the dynamic vibration response of the cracked beam. The proposed method gives an analytical closed-form solution that can be easily used to analyze and design structures dynamically. The outcomes show that growing crack depth reduces the natural frequencies of a cracked beam. Moreover, increasing the severity of the crack and moving its location toward the center of the beam increases the system's damping. Perturbation methods rely on a small parameter, which is challenging to determine for real-life nonlinear problems. To overcome this shortcoming, a powerful analytical method is introduced to solve the motion equation of the cracked beam. | ||
| کلیدواژه‌ها | ||
| Fatigue beam؛ cracked beam؛ Breathing crack؛ Non-linear response؛ Damping ratio؛ Homotopy perturbation | ||
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آمار تعداد مشاهده مقاله: 63 |
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