【摘要】 研究了超高层建筑在变化的风荷载作用下的振动响应。将风荷载假设为正弦变化的外力,同时考虑了风力做功、动能与建筑自身重力做功。根据哈密顿原理,得出了横向振动的控制方程和固有边界条件。据此可求得振动频率的变化,以及横向振动位移随着时间和高度坐标尺度的三维走势。结果表明:横向振动频率随着建筑高度的增加而减小,风力作用下的横向振动为低频响应。更多还原

【Abstract】 The vibration resonance of super-high buildings subjected to variational wind loads is investigated.The loads are assumed to be of sine form and the work is assumed to be done by wind.Besides,the kinetic energy and the work done by gravity of the building are considered together.Governing equation and the inherent boundary conditions are obtained based on Hamilton principle.The variations of vibration frequency and transverse displacement with respect to time and height coordinates can be solved from the mathematical model.The theoretical results show that vibration frequency decreases with increasing height of the building and it is lower-frequency vibration for the effects of wind loads.更多还原