Free vibration analysis of beams carrying a number of two-degree-of-freedom spring-damper-mass systems

2004 ◽  
Vol 40 (4) ◽  
pp. 363-381 ◽  
Author(s):  
Jia-Jang Wu
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Degree Of Freedom ◽  
Two Degree Of Freedom

Dynamic Stiffness Formulation and Its Application for a Combined Beam and a Two Degree-of-Freedom System

2003 ◽  
Vol 125 (3) ◽  
pp. 351-358 ◽  
Author(s):  
J. R. Banerjee
Keyword(s):  
Stiffness Matrix ◽  
Vibration Analysis ◽  
Dynamic Stiffness ◽  
Free Vibration Analysis ◽  
Degree Of Freedom ◽  
Equivalent Stiffness ◽  
Euler Beam ◽  
Mass System ◽  
Stiffness Coefficients ◽  
Two Degree Of Freedom

This paper is concerned with the dynamic stiffness formulation and its application for a Bernoulli-Euler beam carrying a two degree-of-freedom spring-mass system. The effect of a two degree-of-freedom system kinematically connected to the beam is represented exactly by replacing it with equivalent stiffness coefficients, which are added to the appropriate stiffness coefficients of the bare beam. Numerical examples whose results are obtained by applying the Wittrick-Williams algorithm to the total dynamic stiffness matrix are given and compared with published results. Applications of the theory include the free vibration analysis of frameworks carrying two degree-of-freedom spring-mass 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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