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作 者:初钧亮
机构地区:[1]烟台汽车工程职业学院机电工程系,烟台265500
出 处:《机械强度》2016年第6期1194-1197,共4页Journal of Mechanical Strength
基 金:山东省科技攻关项目(2012G0030011)资助~~
摘 要:拉压结构杆在结构工程中广泛存在,是重要的承载元件。但因各种误差的存在拉压杆常处于偏心拉压受载状态中,研究其动态响应是保证其正确设计的理论基础。针对等截面直杆承受端部轴向偏心谐和轴向载荷作用时的动态响应问题进行了研究,利用小变形假设和线性叠加原理将问题分解为两个子问题,一个是轴向拉压问题,一个是弯曲问题。给出了细长杆件轴向位移和平面弯曲挠度随不同扰动频率的变化规律,为进一步的动态应力计算奠定了基础,研究思路与应用分离变量法和傅立叶积分变换技术,对于研究杆件承受任意偏心轴向载荷和沿轴向分布荷载的动态响应问题具有重要指导意义。The bars under tension and compression loadings widely exist in the structural engineering applications, which are the important loaded elements. This is because of the existence of all kinds of installed errors, the bars under tension and compression loadings are sometimes under eccentric tension and compression, Therefore, the dynamic responses of applied loading should be studied in order to ensure safety designs. In this paper, the dynamic loading responses of the straight bar with a constant cross-section and under loading of end axial eccentric harmonic tension and compression loads were studied, the little deformation hypothesis and the principle of linear superposition were used to divide the problem into two sub-problems, one is the axial tension and compression loading problem ; another is the bending problem. The variations of the axial deformation and planar deflection with different disturbance frequencies were given, which is the basis of further dynamic designs. The research ideas together with methods of separation of variables and Fourier integration transformation technology can be employed to investigate the dynamic loading responses of the bars which are subjected to any eccentric axial load and distribution along the axial load.
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