Design and analysis of spatially symmetric multi-dimensional delayed resonators

Here we present Matlab R2024b files and data for generating the results presented in https://control.fs.cvut.cz/en/aclab/experiments/sym2ddr for the example section of the paper Michiels, et al., ‘Design and analysis of spatially symmetric multi-dimensional delayed resonators’, submitted to Journal of Sound and Vibration. The results for the six presented Cases (presented in the web by graphs, data tables and 2D animations) are stored in the files Case1.mat, …, Case6.mat. For plotting the results, use the function plot_data(k), where k refers to the number of the Case, e.g. plot_data(1) will plot the data for the Case 1. For verification and reproducibility purposes, we also provide the (rough) m-files performing synthesis and simulations. Based on the position and character of the excitation force, the files design the active feedback, asses the energy consumption limits in each of the three links, define the controlled system matrices (for both delayed and non-delayed model parts) and run the simulations for interconnection of both symmetric and asymmetric absorbers with the vibrating platform. Compare_2DDR.m – performs the computations and simulations (using Simulation_symmetric.slx and Simulation_asymmetric.slx) for a force at a predefined position and an angle (see the heading part of the m-file). Compare_2DDR_rot.m – performs the computations and simulations (using Simulation_symmetric_rot.slx and Simulation_asymmetric_rot.slx) for a rotating force at a predefined position (see the heading part of the m-file).本文提供用于复现提交给《声与振动期刊》的论文《空间对称多维延迟谐振器的设计与分析》示例章节所述结果的Matlab R2024b文件与数据集，相关结果可通过链接https://control.fs.cvut.cz/en/aclab/experiments/sym2ddr查阅。 文中提及的6个案例的结果（以图表、数据表与二维动画形式在网页中展示）均存储于Case1.mat至Case6.mat文件中。 若需绘制结果，可调用函数plot_data(k)，其中k为案例编号，例如plot_data(1)即可绘制案例1的相关数据。 为保障结果可验证与可复现，我们还提供了用于执行综合分析与仿真的简易版m文件。这些文件将依据激励力的位置与特性，设计主动反馈控制器、评估三条链路各自的能耗限值、定义受控系统矩阵（涵盖延迟与非延迟模型分量），并完成对称吸振器与非对称吸振器分别连接振动平台的仿真运算。 Compare_2DDR.m：用于针对预设位置与角度的激励力执行计算与仿真（需调用Simulation_symmetric.slx与Simulation_asymmetric.slx，详见该m文件的头部注释）。 Compare_2DDR_rot.m：用于针对预设位置的旋转激励力执行计算与仿真（需调用Simulation_symmetric_rot.slx与Simulation_asymmetric_rot.slx，详见该m文件的头部注释）。