土-结构竖向动力相互作用的频域分析法
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摘要
考虑层间结构分布质量及楼层处集中质量,在层局部坐标中建立运动微分方程。建立频域内的层间场传递矩阵,利用楼层集中质量动力平衡建立频域内的层间点传递矩阵。引入基础动力刚度并利用基础动力平衡,结合傅氏变换,得到结构地震反应与竖向地震作用输入之间的关系,并给出相关求解方法。将文中模型用于求解结构在竖向地震作用下的动力反应,并与常用的集中质量模型和均布质量模型的计算结果进行对比。算例表明,文中模型考虑了结构实际质量分布,用于多、高层建筑结构的土-结构动力相互作用的分析中,结果合理可靠,并能更好地适用于质量和刚度分布比较复杂的结构形式。
In order to take into account the distributed mass along the stories of structure,equation of motion is given in the local coordinates of the story.The field transfer matrix is founded in the frequency domain and the point transfer matrix is founded by using the dynamic equilibrium of the lumped mass at the floor.The dynamic stiffness of base is introduced and the dynamic equilibrium of base is used.Structural response under vertical earthquake can be obtained through the Fast Fourier Transform technique.For the sake of contrast,it gave the examples of the model and two other ordinarily used models,the lumped mass model and the uniformly distributed mass model.It showed that the method takes into account the real mass distribution,so that numerical results are more reasonable and more reliable than the other models.The model is capable of analyzing multi-stories and high-rise structures with soil-structure interaction being taken into account and could be well used in those structures with much more complicated mass and stiffness distributions.
In order to take into account the distributed mass along the stories of structure,equation of motion is given in the local coordinates of the story.The field transfer matrix is founded in the frequency domain and the point transfer matrix is founded by using the dynamic equilibrium of the lumped mass at the floor.The dynamic stiffness of base is introduced and the dynamic equilibrium of base is used.Structural response under vertical earthquake can be obtained through the Fast Fourier Transform technique.For the sake of contrast,it gave the examples of the model and two other ordinarily used models,the lumped mass model and the uniformly distributed mass model.It showed that the method takes into account the real mass distribution,so that numerical results are more reasonable and more reliable than the other models.The model is capable of analyzing multi-stories and high-rise structures with soil-structure interaction being taken into account and could be well used in those structures with much more complicated mass and stiffness distributions.
引文
[1]王阜,廖振鹏.烟囱竖向地震反应的行波分析[J].土木工程学报,1984,17(1):12-26.
[2]王阜,廖振鹏.多层剪切结构水平地震反应的行波分析[J].地震学报,1986,8(4):412-430.
[3]廖振鹏.工程波动理论导引(第二版)[M].北京:科学出版社,2002.
[4]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998.
[5]杨桂通,张善元.弹性动力学[M].北京:中国铁道出版社,1988.
[2]王阜,廖振鹏.多层剪切结构水平地震反应的行波分析[J].地震学报,1986,8(4):412-430.
[3]廖振鹏.工程波动理论导引(第二版)[M].北京:科学出版社,2002.
[4]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998.
[5]杨桂通,张善元.弹性动力学[M].北京:中国铁道出版社,1988.
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