Open Access. Powered by Scholars. Published by Universities.®
Wayne State University Dissertations
Analytical Method, Fast Convergence, Fourier Series, Fourier Spectral Element Method, Mid Frequency Vibration, Vibration
Articles 1 - 1 of 1
Full-Text Articles in Entire DC Network
The Fourier Spectral Element Method For Vibration Analysis Of General Dynamic Structures, Xuefeng Zhang
The Fourier Spectral Element Method For Vibration Analysis Of General Dynamic Structures, Xuefeng Zhang
Wayne State University Dissertations
The Fourier Spectral Element Method (FSEM) was proposed by Wen Li on the vibration of simple beams (Li, 1999), and was extended to the vibration of rectangular plates (Li, 2004). This dissertation proposes a revised formulation on the vibration of rectangular plates with general boundary conditions, and extends the FSEM on the vibration of general triangular plates with elastic boundary supports. 3-D coupling formulation among the plates and beams is further developed. A general dynamic structure is then analyzed by dividing the structure into coupled triangular plates, rectangular plates, and beams. The accuracy and fast convergence of FSEM method is …