The framed self-centering wall (FSCW) structure is a newly-emerged special type of seismic-resistant system. However, the related studies rarely concern the theoretical investigation of the FSCW structures subjected to lateral loading, which is of great importance for seismic design of the FSCW structures. In view of this, the analytical model of the FSCW structures is firstly developed, then the fundamental equations that govern the elastic responses of FSCW structures under lateral loads are formulated and the corresponding analytical solutions are derived. Meanwhile, the developed analytical model is validated by the finite element method, which shows that the developed model has a good reliability in predicting the elastic responses of FSCW structures sustaining lateral loading. Utilizing the proposed method, the effects of the post-tensioned (PT) tendon and dampers on the behaviors of the FSCW structure under lateral loading are investigated. Moreover, a comparative study of mechanical performance between the FSCW structure and conventional structures under lateral loading is conducted. The results show that, in terms of the lateral displacement and shear force responses of the frame, the mechanical performance of the FSCW structure subjected to lateral loading generally falls in between those of the conventional frame-shear wall structure and the moment-resisting frame structure.

框架式自定心墙（FSCW）结构是一种新兴的特殊类型的抗震系统。但是，相关研究很少涉及对FSCW结构承受侧向荷载的理论研究，这对FSCW结构的抗震设计具有重要意义。有鉴于此，首先建立了FSCW结构的解析模型，然后建立了控制FSCW结构在侧向荷载下弹性响应的基本方程式，并推导了相应的解析解。同时，通过有限元方法对所建立的分析模型进行了验证，表明所建立的模型在预测承受侧向荷载的FSCW结构的弹性响应方面具有良好的可靠性。利用提出的方法，研究了后张（PT）筋和阻尼器对FSCW结构在侧向荷载作用下的行为的影响。此外，进行了FSCW结构和传统结构在横向载荷下的力学性能比较研究。结果表明，就框架的侧向位移和剪力响应而言，受侧向荷载作用的FSCW结构的力学性能通常介于传统框架剪力墙结构和抗弯框架结构之间。 。