Free vibration analysis of spinning structural systems

1973 ◽  
Vol 5 (3) ◽  
pp. 395-418 ◽  
Author(s):  
K. K. Gupta
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Structural Systems

Static–Dynamic Relationship for Flexural Free Vibration of Extensible Beams

2018 ◽  
Vol 18 (09) ◽  
pp. 1871010 ◽  
Author(s):  
Zhenyu Chen ◽  
C. W. Lim
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Natural Frequencies ◽  
Free Vibration Analysis ◽  
Technical Note ◽  
Structural Systems ◽  
Vibration System ◽  
Dynamic Relationship ◽  
Static Approach ◽  
Vibration Problems

This technical note presents a static–dynamic relationship for the flexural free vibration analysis of beams in tension with some specific boundary conditions. It is shown to be possible that a free vibration system can be solved via a static analysis approach to determine the natural frequencies of the beam with tension forces. The key idea of this study is to substitute the real natural frequency parameters with zero or negative elastic foundation stiffness, thereby allowing one to obtain the natural frequencies by analyzing the case with negative foundation elastic constant. This static approach for vibration problems can be extended for more complicated engineering structural systems.

Numerical Stability of GFEM Evaluation for Free Vibration Analysis in Trussed Structures

2017 ◽  
Author(s):  
Thamara Petroli ◽  
Marcos Arndt ◽  
Paulo de Oliveira Weinhardt ◽  
ROBERTO Dalledone Machado
Keyword(s):  
Free Vibration ◽  
Numerical Stability ◽  
Vibration Analysis ◽  
Free Vibration Analysis
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