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楼层能量的概念及其不平衡原理
发表时间：2011-02-15 浏览量：1696 下载量：791
| 全部作者： | 常磊，叶献国 |
| 作者单位： | 合肥工业大学土木与水利工程学院 |
| 摘 要： | 从2种角度对地震下结构能量反应方程进行分解，针对剪切层模型结构的能量反应方程分解出各楼层能量反应。给出了剪切层模型结构的刚度组装矩阵概念，提出基于结构楼层的输入能、阻尼耗能、变形能和动能表达。经比较分析，指出较之基于节点位移的能量分解，基于楼层的能量表达更具物理意义。提出楼层能量不平衡原理：在地震发生的任何时刻，结构内任何楼层上的能量反应都应是非平衡的，除非刚度组装矩阵为对角矩阵。 |
| 关 键 词： | 结构力学；楼层能量不平衡原理；能量分解；能量反应；结构刚度组装矩阵 |
| Title： | Concept proposition of storey seismic energy and its unbalance theorem |
| Author： | CHANG Lei, YE Xianguo |
| Organization： | School of Civil Engineering, Hefei University of Technology |
| Abstract： | The seismic energy response equation was decomposed in two ways. Storey based energy response was deduced from the total energy response equation for shear layered model, for which concept of structural stiffness assembly matrix was proposed, and then energy items of input energy, damping energy, deformation energy and kinetic energy were derived and defined based on every storey. Compared with energy decomposition based on joint (or floor) displacement, the newly defined energy items were more physically meaningful. Storey based energy unbalance theorem was advanced and can be expressed as: energy response for any storey was unbalanced at almost any moment during an earthquake, unless that the structural stiffness assembly matrix equals the unit matrix. |
| Key words： | structural mechanics; storey-based energy unbalance theorem; energy decomposition; energy response; structural stiffness assembly matrix |
| 发表期数： | 2011年2月第3期 |
| 引用格式： | 常磊，叶献国. 楼层能量的概念及其不平衡原理[J]. 中国科技论文在线精品论文，2011，4（3）：239-244. |
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