scholarly journals Assessing how changes to a structure can create gaps in the natural frequency spectrum

2007 ◽  
Vol 44 (2) ◽  
pp. 614-635 ◽  
Author(s):  
Ray Lawther
1999 ◽  
Vol 25 (7) ◽  
pp. 524-526
Author(s):  
A. A. Akhmetov ◽  
S. S. Ivanov ◽  
I. O. Shchegolev

2013 ◽  
Vol 328 ◽  
pp. 564-569
Author(s):  
Min He ◽  
Quan Jin Liu ◽  
Qi Shen Wang

This paper discussed some properties of the discrete system of the Eulers beam in vibration, which geometrical, physical parameters and supporting forms at both ends are symmetry about the midpoint of the span. On this foundation the inverse frequency problem based on the beam with both fixed-ends is raised and solved, i.e. given a set of frequency spectrum of the beam with both fixed-ends and other n positive number satisfying the interlace relation as following: the discrete system of the above symmetry beam fixed at both ends could be constructed, and would be the natural frequency of the fixed-free half-beam which is cut off from the midpoint of the beam fixed at both ends.


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