Zhang Sara Ying, Jiang Jason Zheng, Neild Simon A
Department of Mechanical Engineering, University of Bristol, Queen's Building, University Walk, Bristol, BS8 1TR UK.
Proc Math Phys Eng Sci. 2017 May;473(2201):20170011. doi: 10.1098/rspa.2017.0011. Epub 2017 May 31.
Linear passive vibration absorbers, such as tuned mass dampers, often contain springs, dampers and masses, although recently there has been a growing trend to employ or supplement the mass elements with inerters. When considering possible configurations with these elements broadly, two approaches are normally used: one structure-based and one immittance-based. Both approaches have their advantages and disadvantages. In this paper, a new approach is proposed: the structure-immittance approach. Using this approach, a full set of possible series-parallel networks with predetermined numbers of each element type can be represented by structural immittances, obtained via a proposed general formulation process. Using the structural immittances, both the ability to investigate a class of absorber possibilities together (advantage of the immittance-based approach), and the ability to control the complexity, topology and element values in resulting absorber configurations (advantages of the structure-based approach) are provided at the same time. The advantages of the proposed approach are demonstrated through two case studies on building vibration suppression and automotive suspension design, respectively.
线性被动式吸振器，如调谐质量阻尼器，通常包含弹簧、阻尼器和质量块，不过近来使用惯质体来替代或补充质量元件的趋势日益明显。在广泛考虑这些元件的可能配置时，通常采用两种方法：一种基于结构，另一种基于导抗。这两种方法都各有优缺点。本文提出了一种新方法：结构 - 导抗方法。使用这种方法，通过一个提出的通用公式化过程获得的结构导抗可以表示具有每种元件类型预定数量的一整套可能的串并联网络。利用这些结构导抗，既能一起研究一类吸振器可能性（基于导抗方法的优点），又能在所得吸振器配置中控制复杂性、拓扑结构和元件值（基于结构方法的优点）。通过分别针对建筑振动抑制和汽车悬架设计的两个案例研究证明了所提出方法的优点。
