سال انتشار: ۱۳۸۶
محل انتشار: پنجمین کنفرانس بین المللی زلزله شناسی و مهندسی زلزله
تعداد صفحات: ۹
Ranjbaran – A., Associate Professor Department of Civil Engineering, Shiraz University, Shiraz, Iran
Hashemi – Research Assistance Department of Civil Engineering, Shiraz University, Shiraz, Iran
damage due to high vibration level. In this paper a new method for vibration analysis of cracked beams is proposed. Based on the calculus of variations principles, the governing equations of the system, which is in form of a differential equation subjected to boundary conditions, is transformed to an optimization problem. The standard optimization techniques are then used to carry out the process. In this method vibration of beams with general section properties is analyzed in a simple and efficient way. Through analysis of numerical examples and comparison of the results with other methods the accuracy, efficiency and robustness of the method is verified.