Development of a graph-theory methodology for the design of vibration suppression systems

自引入新的网络元件惯性器以来，振动抑制系统的网络表示设计可能性大大增加。传统上，最有益的网络可以通过使用三种主要方法之一来确定：基于结构的，基于导抗的或基于进化的。基于结构的方法首先提出一个网络布局，然后根据性能标准优化每个元素的参数。这种方法在控制网络复杂性方面是有益的。然而，这种技术是有限的，因为存在许多可想到的网络配置，其一次只能处理一个布局。基于导抗的方法可以确定最佳布局，而不限制网络的几个特定的拓扑结构安排。然而，这种方法可能导致物理上不可实现的网络，例如：具有过多组件的网络或具有不可行组件参数值的网络。在基于进化的方法中，候选网络的初始集合被生成，并通过元分析和随机算子迭代更新。尽管这种方法可以自动创建性能良好的网络拓扑，但考虑到网络的复杂性，不能保证所得到的网络是最好的网络，也不能保证所得到的网络是可制造的。这三种传统设计技术的进一步发展是结构导抗方法。这种方法可以使识别的最佳吸振器网络与预先控制的复杂性。在这种方法中，一个通用的网络，覆盖所有的串并联网络的可能性与预定数量的元素类型的建立，然后导出每个网络的导抗函数。该方法旨在控制网络复杂性，同时实现最佳性能指标，尽管存在两个关键约束：1。该方法不能覆盖桥网络等非串并联网络。2.该方法是不切实际的使用时，考虑的元素的数量是大的，因为它不能以编程方式实现。为了解决这两个限制，本项目旨在开发一种方法，基于图论的振动抑制系统的设计。该方法的新贡献是允许自动识别具有给定复杂性的所有可能性中的最佳减振器。该项目的主要目标是：开发一种基于图论的方法，可以为任何给定的复杂性提供一套完整的网络，包括串并联和非串并联布局。开发一种方法，以满足不同的设计方案，包括多轴系统，例如汽车中的互连悬架。为了使用多域组件（例如，机械、电气、液压和气动）。建立原型并进行实验验证，以巩固所提出的方法。

Network-represented design possibilities of a vibration suppression system has substantially increased since the introduction of the new network element, the inerter. Classically, the most beneficial network can be determined by using one of three main approaches: structure-based, immittance-based, or evolutionary-based. The structure-based approach first proposes a network layout and then optimizes the parameter of each element according to the performance criteria. This approach is beneficial in terms of controlling the network complexity. However, this technique is limited, as there are numerous conceivable network configurations which can only be handled one layout at a time. The immittance-based approach can identify the optimal layout without restricting the network to a few specific topology arrangements. However, this method can lead to physically unrealisable networks such as: ones with an excessive number of components or ones with unfeasible component parameter values. In the evolutionary-based approach, an initial set of candidate networks is generated and iteratively updated through metaheuristics and stochastic operators. Even though this approach can automatically create a network topology that performs well, there is no assurance that the resulting network is the best possible one, nor, manufacturable considering the network complexity. A further advancement to these three traditional design techniques is a structure-immittance approach. This approach could enable the identification of the optimal vibration-absorber network with a pre-controlled complexity. In this approach, a generic network that covers all series-parallel network possibilities with a pre-determined number of element types is established; an immittance function of each network is then derived. The method sets out to control network complexities whilst achieving optimal performance measures, albeit two key constraints exist:1. The method cannot cover non-series parallel networks such as bridge networks. 2. The method is impractical to use when the number of elements being considered is large, because it couldn't be programmatically implemented.To address these two limitations, this project aims to develop a methodology based on graph theory for the design of vibration suppression systems. The novel contribution of this methodology is to allow the optimal vibration absorbers among all the possibilities with a given complexity to be identified automatically. The main objectives of this project are:To develop a methodology based on graph theory, which can provide a full set of networks for any given complexity, including series-parallel and non-series-parallel layouts. To develop a methodology which will cater to different design scenarios including multi axis systems e.g. interlinked suspensions in automotive vehicles.To physically realise the optimal network-represented properties using multi-domain components (e.g., mechanical, electrical, hydraulic and pneumatic). To establish the prototype and carry out experimental validation, so as to consolidate the proposed methodology.