本文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。文中首先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。
Abstract
This note investigates the dynamic response analyzing issue for portal frames under shocking load with the help of reverberation-ray matrix method (RRMM). By converting the local coordinate and establishing the force equilibrium conditions, a reverberation-ray matrix is obtained with the given initial shocking load. Afterwards, the desired transient response is feasibly obtained according to the methods of inverse fast Fourier transform (IFFT) and convolution theorem. By the proposed method, the natural frequencies are conveniently acquired and the modal characteristics of portal frame are furthermore discussed.
关键词
回传射线矩阵法 /
门式框架 /
波动响应 /
自振频率 /
模态
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Key words
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reverberation-ray matrix method, portal frame, transient response, natural vibration frequency, mode characteristic.
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