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

开发振动抑制系统设计的图论方法

• 批准号: 2765808
• 金额: --
• 依托单位: University of Bristol
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2022
• 资助国家: 英国
• 起止时间: 2022 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2765808
• 关键词: Development; graph; theory; methodology; design

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.

自从引入新的网络元件惯性器以来，以网络为代表的振动抑制系统的设计可能性已大大增加。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、基于导抗或基于进化。基于结构的方法首先提出网络布局，然后根据性能标准优化每个元素的参数。这种方法有利于控制网络复杂性。然而，这种技术是有限的，因为有许多可以想象的网络配置一次只能处理一种布局。基于导抗的方法可以识别最佳布局，而不会将网络限制为一些特定的拓扑布置。然而，这种方法可能会导致物理上无法实现的网络，例如：组件数量过多或组件参数值不可行的网络。在基于进化的方法中，通过元启发法和随机算子生成并迭代更新一组初始候选网络。尽管这种方法可以自动创建性能良好的网络拓扑，但不能保证生成的网络是最好的网络，考虑到网络复杂性也不能保证可制造。这三种传统设计技术的进一步进步是结构导抗方法。这种方法可以识别具有预先控制的复杂性的最佳减振器网络。在这种方法中，建立了一个通用网络，该网络涵盖了具有预定数量的元件类型的所有串并网络可能性；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，同时实现最佳性能测量，尽管存在两个关键限制：1。该方法不能覆盖桥接网络等非串并联网络。 2. 当考虑的元素数量很大时，该方法不切实际，因为它无法以编程方式实现。为了解决这两个限制，本项目旨在开发一种基于图论的振动抑制设计方法系统。该方法的新颖贡献是能够在给定复杂性的所有可能性中自动识别最佳减振器。该项目的主要目标是：开发一种基于图论的方法，该方法可以为任何给定的复杂性提供全套网络，包括串并联和非串并联布局。开发一种适合不同设计场景的方法，包括多轴系统，例如汽车中的互连悬架。使用多域组件（例如机械、电气、液压和气动）在物理上实现最佳网络表示的属性。建立原型并进行实验验证，以巩固所提出的方法。