基于分布参数模型的复合自复位结构参数分析

该文提出一种复合自复位结构，该结构在体系层次上由主、次两个子体系组成。主体系承担结构基本的使用功能，可以简化为剪切梁；次体系承担控制结构损伤模式、耗能和自复位的功能，可以简化为底部带有弹性转动约束的弯曲梁；二者组成复合自复位结构的剪弯梁分布参数模型。求解微分方程得到体系振型方程的闭合解。将剪弯刚度比和弯曲梁与底部弹性转动约束刚度比作为参数，分析了二者对体系的特征值、振型、振型参与系数和振型转角的影响，从动力学的角度解释了体系控制损伤模式的机理。利用该分布参数模型，可以合理地选择两种刚度比参数，使体系的层间位移分布均匀。结合振型叠加法计算结构响应，该模型可以为体系的初步设计和方案选择提供一定的参考。

PARAMETRIC ANALYSIS OF A SELF-CENTERING DUAL SYSTEM BASED ON A DISTRIBUTED PARAMETER MODEL

An innovative self-centering dual system is proposed, consisting of a primary subsystem and a secondary subsystem. The primary subsystem sustains a normal occupancy function and can be simplified as a shear beam, while the secondary subsystem takes on the function of controlling damage modes, and energy dissipation and self-centering, can be simplified as a flexural beam with a variable amount of base rotational restraint. The two beams form a distributed parameter model for the proposed system. Closed solution of the modal equation is derived by solving differential equations. Taking the stiffness ratio between a flexural beam and a shear beam, the stiffness ratio between the flexural beam and the base rotational restraint as parameters, the effects on the eigenvalues, modal shapes, modal participation factors and modal drift are investigated, and the mechanism of controlling damage mode is explained from the dynamic perspective. Using this model, a uniform distribution of interstory drift along the height of the structure can be achieved by choosing reasonable parameters. Computation of structural response by combining the superposition method of its vibration modes, it can facilitate the preliminary design and scheme selection of the proposed system.