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为了研究初始缺陷在周期性瞬时荷载作用下对杆件动力稳定性的影响,采用近似求解方法和傅里叶周期稳定解的方法,考虑初始缺陷对杆件的影响,对在周期性瞬时荷载作用下杆件的动力稳定性进行理论分析.同时通过对杆件不同挠度的研究,采用Maple软件得到了杆件的动力不稳定性.理论分析结果表明:初始缺陷越大,杆件的稳定解的振幅越大,不稳定区域越宽,发生参数共振导致失稳的可能性越大.在相同初始缺陷条件下,杆件的阻尼是有效降低杆件发生动力失稳的重要因素.在马奇耶方程基础上,推导了杆件初始缺陷与挠度的具体关系式,得到了在不同初始缺陷下杆件的动力不稳定区域.分析表明,实际工程中减少杆件的初始缺陷能够加强杆件的动力稳定性.
In order to study the influence of the initial defect on the dynamic stability of the bars subjected to periodic momentary loads, the method of approximate solution and Fourier periodic solution are adopted to consider the influence of the initial defects on the bars, The dynamic stability of the lower member is analyzed theoretically.Furthermore, the dynamic instability of the member is obtained by using the Maple software based on the study of the different deflection of the member.The theoretical analysis results show that the larger the initial defect, the stable solution of the member The bigger the amplitude is, the wider the unstable area is, and the greater the possibility of instability occurs due to parametric resonance. Under the same initial defect conditions, the damping of the rod is an important factor to effectively reduce the dynamic instability of the rod. Based on the equation, the relationship between the initial defect and the deflection of the bar is deduced, and the dynamic instability region of the bar under different initial defects is obtained.The analysis shows that reducing the initial defect of the bar can increase the power of the bar stability.