考虑正常使用功能的非线性黏滞阻尼惯容系统多指标减震控制

惯容调谐减震系统可以灵活调整结构的动力特性，具有高效降低结构多阶模态响应的潜力。然而，目前已有的惯容系统减震设计方法对特定模态控制效果精度较低，且设计参数较大，设计时依赖经验假设或大量优化计算。本研究致力于惯容系统对结构多阶模态响应的精准控制，根据建筑使用功能的性能设计需求，提出了以结构靶向模态控制为导向的设计策略。该方法以惯容系统安装位置的相对变形为主自由度，以靶向控制模态的振型为结构变形形状，将复杂的多自由度原结构解耦为多个附加惯容的主自由度系统，通过惯容系统参数的闭合解析设计公式计算控制目标模态所需的惯容系统参数，并确定布置位置，以保证建筑在遭受抗震设防烈度地震的影响时能够满足正常使用要求为目标。对一个7层的标准结构模型为例，进行靶向模态控制为导向的减震设计，结果表明，该方法能够在不改变其他模态的周期、振型情况下，精准高效地减少结构靶向模态的响应，满足建筑正常使用的性能目标。相比于经典的惯容减震设计方法，该方法在相同性能需求下降低了惯容系统参数，以较小的设计参数实现了对结构位移角、剪力、加速度等响应的控制。

Multi-objective Seismic Control Effect of Inerter System with Nonlinear Viscous Damping Considering Functionality of Buildings

Although the first modal response generally dominates in structural vibration control, multiple-mode control should also be taken into account when multiple modes are excited. An effective way to accomplish multiple-mode control is to resort to inertial vibration absorbers, wherein the inerter serves as a two-terminal device with dynamic mass amplification and damping enhancement effects. Although previously published studies focused on inerter-based multiple-mode control, closed-form design formulae have not been proposed owing to the peculiar mechanism of the inerter. Inspired by the relative-acceleration-related characteristics of the inerter, this study proposes an analytical design formulation to identify the parameters of inerter-based systems to achieve targeted multiple-mode control based on the functionality of buildings. In this method, the relative deformation at the installation location is considered as the master degree-of-freedom, and the shape of the targeted control mode is considered as a structural deformation shape. In this way, by transforming the complex original structure into a master oscillator structure with the inerter, the parameters needed for the targeted-mode control can be easily determined based on the use of closed-form design formulae. The proposed targeted control method is applied to a benchmark 7-story building to illustrate how the parameters of inerter-based systems are designed by the proposed demand-oriented, targeted control method. The comparative analyses between the proposed and previous methods are conducted to demonstrate its superiority. Results show that the designed inerter-based systems can accurately and efficiently realize the targeted control of specific, multiple modal responses. The proposed method is proved to yield a high-precision, targeted-mode control effect, and requires relatively low computational effort. Therefore, it can be easily implemented in an inerter-based, multiple-mode control system and realize the functionality requirements of buildings under fortification earthquakes.