【摘要】 针对随机过程Karhunen-Loeve分解在求解特征问题中存在的局限性,采用Hartley正交基作为展开函数,建立了一类基于Hartley正交基的随机过程展开方法。在此基础上,发展了地震动随机过程的正交展开,它提供了用少量独立随机变量来描述地震地面运动这样一个复杂随机过程的主要概率特性。鉴于地震地面运动具有明显的非平稳性,该文在平稳地震动随机过程正交展开的基础上,以胡聿贤功率谱模型为例,进行了基于正交展开的非平稳地震动随机过程的研究,以便为工程结构的随机地震反应分析和动力可靠性研究提供基础。更多还原

【Abstract】 Considering some limitations of the Karhunen-Loeve decomposition in solving eigenvalues and eigenfunctions of the integral equation,a new orthogonal expansion method of stochastic processes based on the normalized Hartley function set are proposed.Using the orthogonal expansion method,the earthquake ground motion is represented as a linear combination of deterministic time functions modulated by a small number of independent random variables.Moreover,take the Hu’s power spectrum model as an example,the non-stationary earthquake ground motion based on orthogonal expansion method is investigated.The proposed technique provides a foundation to research the random seismic response and dynamic reliability analysis in engineering structures.更多还原