Haifeng Gao

Structural Dynamical Monitoring and Fault Diagnosis

1College of Mechanical and Electrical Engineering, Wenzhou University, Wenzhou 325035, China 2School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, China 3Department of Mechanical Engineering, Technology University of Darmstadt, 64289 Darmstadt, Germany 4Department of Structural Engineering, University of California, San Diego, CA 0085, USA 5Department of Civil Engineering, University of Siegen, 57076 Siegen, Germany

Analysis of infinite/finite unidirectional elastic phononic structures by BEM

The transmission of elastic waves in infinite/finite unidirectionalphononiccrystals is investigated by using the boundary element method (BEM). For the infinite periodic structure, we use BEM to formulate a Bloch’s eigenvalue problem which has a nonlinear property caused by the Hankel functions in the fundamental solution. This nonlinear eigenvalue problem is solved by employing a contour integral method and band gaps are found in the dispersion curves. For the finite structure, a certain number of layers for cells are given to connect the input and output domains. The numerical simulation shows that the finite structure also presents a frequency banded nature which coincides with the band gaps of the infinite structure.