高层建筑结构层间位移梯度和海赛矩阵的计算

Drift Response Gradient and Hessian Matrix Calculation of Multi-storey and High-rise Building Structures

在Newmark-β法基础上推导了地震作用下多高层建筑结构层间位移响应梯度和海赛矩阵的计算公式,提出地震作用下多高层建筑结构层间位移响应梯度和海赛矩阵的算法。算例表明,提出的层间位移响应梯度和海赛矩阵计算方法是精确高效的,为多高层建筑结构抗震优化设计奠定了基础。

The paper derived the formulas of drift response gradient and Hessian matrix of multi-storey and high-rise building structures under the ground motion based on the Newmark-method and developed the algorithm of drift response gradient and Hessian matrix of multi-storey and high-rise building structures. The example indicates that the method of computing drift response gradient and Hessian matrix in the paper is accurate and efficient. It is the foundation of seismic optimal design of multi-storey and high-rise building structures.