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为提高土-结构三维非线性动力分析问题的计算效率,根据结构存在局部塑性区域的特点,提出了适合于非线性子结构与多个线性子结构存在边界耦合情况的线性-非线性混合约束模态综合法。该方法将整体体系划分为线性和非线性两类子结构,对线性子结构依照势能判据截断准则进行自由度的缩减,并最终与非线性子结构进行综合,进而获得非线性体系的动态响应。进一步将该方法应用到土-高层建筑相互作用体系的三维动力分析算例中,针对两种不同的土体边界条件分别进行了多组地震动激励作用下的动力时程分析,验证了该方法的精确性与有效性。最后,针对非线性土体区域范围的多种不同取值进行了多组数值试验,结果表明:对于该文算例,当非线性土体区域的范围取为上部结构水平尺寸的3倍时即可获得满意的计算结果,进一步说明了该方法的有效性。
In order to improve the computational efficiency of three-dimensional nonlinear dynamic analysis of soil-structure, a linear-nonlinear hybrid constrained mode suitable for the boundary-coupled condition of nonlinear substructures and multiple linear substructures is proposed according to the characteristics of local plastic regions. State synthesis method. This method divides the whole system into two kinds of substructures, linear and nonlinear, and reduces the degree of freedom of the linear substructure according to the truncation criterion of potential energy criterion. Finally, it integrates with the nonlinear substructure to obtain the dynamic response of the nonlinear system . This method is further applied to the 3D dynamic analysis of the soil-high-rise building interaction system. The dynamic time history analysis of two different soil boundary conditions under multi-groups of ground motions is carried out. The method is validated Accuracy and validity. Finally, a series of numerical experiments are carried out for many different values of the nonlinear soil region. The results show that for the case of this paper, when the range of the nonlinear soil region is three times of the horizontal dimension of the superstructure Satisfactory results can be obtained, further illustrating the effectiveness of the method.