This paper presented an accurate method of calculating the earthquake force design sensitivity and Hessian matrix of the planar frame.

提出一种平面框架结构地震力的设计敏度和海森矩阵的精确计算方法。

The Hessian matrix of every function in this model is constant, so it will be calculated once in the entire optimal process based on interior point method, which speeds up each iteration.

该新模型的海森矩阵是精确的常系数矩阵，在内点法迭代过程中只需要计算一次，从而缩短了每次迭代的计算时间。

To reversely calculate structural parameters by using second-order approximate expression of the gradient matrix and Hessian matrix for optimization function in identified optimization results.

利用优化函数的梯度阵和海森矩阵建立函数的二阶近似表达式在已确定的优化结果反向计算结构参数。