By Farzad Ebrahimi
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Additional resources for Advances in Vibration Analysis Research
The beam is discretized into 90 EulerBernoulli beam elements with a total of 182 dofs. The corresponding responses from the FEM and the CEM are compared in Figure 5. This indicates the accuracy of the proposed method for forced vibration of multiple stepped beam. Figure 6 gives a close view between the responses from two methods. From this figure, one can see that the two time histories in every subplot are virtually coincident indicating the excellent agreement between the time histories. 1 Free vibration analysis for a uniform cantilever beam with a single crack An experimental work in Sinha et al.
1994). Vibration of stepped beams and rectangular plates by an elemental dynamic flexibility method. Journal of Sound and Vibration, Vol. 5, 617–640, ISSN: 0022-460X. R. S. (2009). Dynamic condition assessment of a cracked beam with the composite element model. Mechanical Systems and Signal Processing, Vol. 23, No. 3, 415-431, ISSN: 0888-3270. Michael A. Koplow, Abhijit Bhattacharyya and Brian P. Mann. (2006). Closed form solutions for the dynamic response of Euler–Bernoulli beams with step changes in cross section.
10. Free vibration modes of CP rod ( variable cross section uniform rod). 5 Fig. 11. Free vibration modes of CF rod ( variable cross section uniform rod). 5 -2 Fig. 12. Free vibration modes of CS rod ( variable cross section uniform rod). 1 20 Advances in Vibration Analysis Research 3. Conclusion In this article, some analytical approximation techniques were employed in the transverse vibration analysis of beams. In a variety of such techniques, the most used ones, namely ADM, VIM and HPM were chosen for use in the computations.
Advances in Vibration Analysis Research by Farzad Ebrahimi