000201112 001__ 201112
000201112 005__ 20181203023556.0
000201112 0247_ $$2doi$$a10.1016/j.jsv.2014.04.029
000201112 022__ $$a0022-460X
000201112 02470 $$2ISI$$a000338389800011
000201112 037__ $$aARTICLE
000201112 245__ $$aWave dispersion in periodic post-buckled structures
000201112 260__ $$aLondon$$bElsevier$$c2014
000201112 269__ $$a2014
000201112 300__ $$a17
000201112 336__ $$aJournal Articles
000201112 520__ $$aWave propagation in pinned-supported, post-buckled beams can be described with the Korteweg de Vries (KdV) equation. Finite-element simulations however show that the KdV is applicable only to post-buckled beams with strong pre-compression. For weak and moderate pre-stress, a dispersive front is present and it is the aim of the current paper to analyze sources of dispersion beyond periodicity given three support types: guided, pinned, and free. Bloch theorem and a transfer-matrix method are employed to obtain numerical dispersion relations and characteristic wave modes, which are used to analyze the effects of pre-stress, initial curvature, and the influence of support types. Additionally, a new method is proposed to obtain a semi-analytical dispersion equation for the acoustic branch. Powers of frequency and the propagation constant are explicitly expressed and their coefficients are based on stiffness and mass-matrix components obtained from finite elements. This allows a physical interpretation of the dispersion sources, based on which, equivalent mass-spring models of post-buckled beam are proposed. It is found that mass and stiffness coupling are significant dispersion sources. In the present paper, a reduced form of Bloch theorem is presented exploiting glide-reflection symmetries, reducing the size of the unit cell and allowing an easier representation and interpretation of results.
000201112 700__ $$aMaurin, Florian
000201112 700__ $$0245486$$aSpadoni, Alessandro$$g210245
000201112 773__ $$j333$$k19$$q4562-4578$$tJournal Of Sound And Vibration
000201112 909C0 $$0252396$$pLOMI$$xU12396
000201112 909CO $$ooai:infoscience.tind.io:201112$$particle
000201112 917Z8 $$x215943
000201112 937__ $$aEPFL-ARTICLE-201112
000201112 973__ $$aEPFL$$rREVIEWED$$sPUBLISHED
000201112 980__ $$aARTICLE