A New Method for Response Spectrum Superposition

本项目是根据AD/ENG通报第85- 25号“加速奖励新研究”的规定进行的。研究的主要目标是完成多自由度系统的统计响应谱方法的最终开发。目前，这类问题只能用近似方法来处理。即将开发的新方法是强大的，准确的，并且在Cartwright和Longuet-Higgins的工作之后有一个完整的理论基础。对于多自由度结构的最大响应进行估计的必要性是显而易见的，因为已经提出了许多谱估计或叠加方法。然而，它们很少建立在良好的物理基础上，并利用统计理论来解释它们产生的结果中的不确定性。该方法能够对多层建筑的各层局部响应峰的期望幅值和最可能幅值进行评估。在将该方法完整地记录、发表并引入实际应用之前，将进行计算机运行以测试数值精度。所提出的工作将产生一种远远优于任何现有方法的方法。加速奖励机制用于使唯一合格的研究生在可用时完成工作。首席研究员是结构动力学和地面运动的领导者之一。他在这些领域开创了许多重要课题。我们强烈支持一年的资助。

This project is undertaken under provisions in AD/ENG Bulletin No. 85- 25 for "Expedited Awards for Novel Research." The primary objective of the research is to complete the final development of a statistical response spectrum method for multi-degree of freedom systems. Currently, such problems can only be handled using approximations. The new method to be developed is powerful, accurate, and has a round theoretical basis following the work by Cartwright and Longuet-Higgins. The need to estimate the maximum response of multi-degree-of-freedom structures is evident as many spectrum estimation or superposition methods have been proposed. However, very few of them are established on sound physical basis and utilizing statistical theory which can account for the uncertainties in the results they produce. The proposed method is capable of evaluating the expected and most probable amplitude of local response peaks for each floor of a multi-story building. Computer runs will be made to test the numerical accuracy before the method can be fully documented, published, and introduced into practical applications. The work proposed would produce a method far superior to any of the existing methods. The expedited award mechanism is used to enable a uniquely qualified graduate student to complete the work while available. The Principal Investigator is one of the leaders in structural dynamics and ground motions. He has pioneered many important subjects in these areas. A one-year grant is strongly supported.