@article {Liu:2022:0736-2501:436, title = "Free and forced vibration analysis of a Z-shaped structure with multi-span elastic supports", journal = "Noise Control Engineering Journal", parent_itemid = "infobike://ince/ncej", publishercode ="ince", year = "2022", volume = "70", number = "5", publication date ="2022-09-01T00:00:00", pages = "436-445", itemtype = "ARTICLE", issn = "0736-2501", url = "https://ince.publisher.ingentaconnect.com/content/ince/ncej/2022/00000070/00000005/art00004", doi = "doi:10.3397/1/377037", keyword = "45, 49", author = "Liu, Wei and Shi, Kai and Li, Jieyu and Sun, Hailong and Zhao, Qiang", abstract = "In this paper, an in-plane Z-shaped structure with multi-span elastic supports is proposed to investigate the natural frequency and transmission response through employing in-plane governing equation and transfer matrix method. Based on the solutions of transverse vibration and torsional vibration, the total transfer matrix for the Z-shaped structure with multi-span elastic supports is derived. Furthermore, natural frequencies and mode shapes of the Z-shaped structure are calculated. Finite element simulation method (FEM) is conducted here to verify the theoretical results. In order to effectively evaluate the vibration reduction performance, transmission response of the Z-shaped structure under different boundary supports and multi-span elastic supports is analyzed. This work is significant for the vibration reduction of in-plane Z-shaped structure, especially the multi-span elastic support case in engineering applications.", }