Transverse vibration bandgaps in phononic‐crystal Euler beams on a Winkler foundation studied by a modified transfer matrix method. Issue 7 (25th February 2013)

• Record Type: Journal Article
• Authors: Zhang, Yan; Han, Lin; Jiang, Lin‐hua
• Is Part Of: Physica status solidi. Volume 250:Issue 7(2013:Jul.)
• Page Start: 1439
• Page End: 1444
• Publication Date: 2013-02-25
• Subjects: Solid state physics -- Periodicals; Solids -- Periodicals; Atomic structure -- Periodicals; 530.41
• DOI: 10.1002/pssb.201248471
• Languages: English
• ISSNs: 0370-1972

Abstract

<abstract abstract-type="main" xml:lang="en"> <title>Abstract</title> <p>In this paper, a modified transfer matrix method is proposed to solve the transverse vibration bandgaps (BGs) in phononic crystal (PC) Euler beams on a Winkler foundation. An equivalent critical frequency is introduced to facilitate the calculation of the end frequency of the first BG. The band structures of a lead–steel PC Euler beam either on a Winkler foundation or not show that the existence of a foundation has a significant influence on the distribution of BGs. A new BG that starts at 0 Hz appears. Additional results demonstrate that a very narrow passband could exist between the first two BGs. This study is aimed at searching for large BGs, especially at low frequencies. <boxed-text content-type="graphic" position="anchor" orientation="portrait"><graphic position="anchor" mimetype="image" xlink:href="ark:/27927/pgg26mss4cz" orientation="portrait" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /></boxed-text></p> <p>Band structures for the lead–steel PC Euler beam on a Winkler foundation (continuous line) or not (dash line). A new BG that starts at 0 Hz appears in the case of having a foundation.</p> </abstract>