NDLI: Free-vibration of Bernoulli-Euler beam using the spectral element method

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Free-vibration of Bernoulli-Euler beam using the spectral element method

Content Provider	Semantic Scholar
Author	Hamioud, Saida Khalfallah, Salah
Copyright Year	2016
Abstract	Preliminary communication Abstract: The present work describes the spectral finite element formulation and the solution of Bernoulli-Euler free vibrations beams. The formulation including the partial differential equations of motion, the spectral displacement field and the dynamic stiffness matrix, is established in the scope of the spectral element method. The development is recognized for the general case without considering boundary conditions. The work describes the solution of the problem using three distinct methods: (1) the finite element method, (2) the analytical method and (3) the spectral element method. Particularly, natural frequencies for clamped-free vibration of Bernoulli-Euler beams are established. In the finite element approach, the element number varied in order to improve the accurate solution. Contrary, the spectral element method requires only one to two elements. Results using this method are compared with the finite element method and analytical procedure ones. The spectral element method shows notable advantages compared to the finite element method reducing the number of elements as well as increasing the accuracy.
Starting Page	106
Ending Page	112
Page Count	7
File Format	PDF HTM / HTML
Volume Number	10
Alternate Webpage(s)	http://hrcak.srce.hr/file/253508
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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