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研究门式框架结构在瞬态波动作用下的动力响应求解和自振特性分析问题。建立了局部坐标系下节点位移协调条件和力平衡条件,借助回传射线矩阵法,得到了方波脉冲激振力作用下的门式框架结构的动力学响应函数。在此基础上,通过离散Fourier逆变换和卷积变换,得到单位脉冲作用下框架结构的瞬态波动响应,并进一步探讨了门式框架结构的自振频率和模态特征。
In this paper, the dynamic response solution and the analysis of natural vibration characteristics of portal frame structure under transient wave are studied. Coordination conditions and force balance conditions of node displacement under local coordinate system are established. By means of return ray matrix method, the dynamic response function of portal frame structure under the action of square wave pulse excitation force is obtained. On this basis, the transient response of the frame structure under unit pulse is obtained by discrete Fourier inverse transform and convolution transform, and the natural frequency and modal features of portal frame structure are further discussed.