Abstract In order to solve the problem of site response analysis under strong nonlinearity, this paper proposes a concept of a Holistic Equivalent Shear Strain (HESS) and establishes a Holistic Equivalent Linear (EQL-H) method. The key point of the HESS is that the seismic wave components that affect the nonlinear response should be selected to join the iterative calculation of the equivalent linearization. A simple formulation for calculating the HESS is constructed by the parameters related to the nonlinear characteristics of soils themselves, the intensity of the seismic excitation and all the contributing waves in the shear strain time history. The difference between the EQL-H method and the traditional Equivalent Linear (EQL) method such as SHAKE2000 lies in the equivalent shear strain solution and the traditional EQL method basically is a special solution of the EQL-H method under the weak nonlinear condition. Comparison of the EQL method, EQL-H method and the existing fully nonlinear (NL) method is made by using 1468 actual downhole records on the level sites, especially on site classes D and E. The comparison indicates that the EQL-H method show quite a noticeable improvement for site classes D and E and slight improvement for site class C than the traditional EQL method and the existing NL method. The mean relative error of the predicted PGA by the EQL-H method on different site classes under ground shaking intensities less than 1.0 g is within ±20%.

中文翻译：

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一种用于场地响应分析的整体等效线性方法

摘要 为解决强非线性下的现场响应分析问题，提出整体等效剪应变（HESS）的概念，建立整体等效线性（EQL-H）方法。HESS 的关键是选择影响非线性响应的地震波分量加入等效线性化的迭代计算。用于计算 HESS 的简单公式是由与土壤本身的非线性特性、地震激发强度和剪切应变时程中的所有贡献波相关的参数构建的。EQL-H 方法与 SHAKE2000 等传统等效线性 (EQL) 方法的区别在于等效剪应变解，而传统 EQL 方法基本上是弱非线性条件下 EQL-H 方法的特殊解。EQL 方法、EQL-H 方法和现有的完全非线性（NL）方法是通过使用 1468 个水平站点的实际井下记录进行的比较，特别是在站点类 D 和 E。比较表明 EQL-H 方法显示与传统的 EQL 方法和现有的 NL 方法相比，站点类 D 和 E 有相当显着的改进，站点类 C 略有改进。在小于 1.0 g 的地面震动强度下，EQL-H 方法对不同场地等级预测的 PGA 的平均相对误差在 ±20% 以内。