DAMPED VIBRATION ANALYSIS OF A TWO-DEGREE-OF-FREEDOM DISCRETE SYSTEM

2002 ◽  
Vol 257 (2) ◽  
pp. 391-403 ◽  
Author(s):  
Z. ONISZCZUK
Keyword(s):  
Vibration Analysis ◽  
Discrete System ◽  
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.

Research on Nonlinear Vibration and Bend Strength Character of WN Gear Pairs in Meshing

2013 ◽  
Vol 706-708 ◽  
pp. 1537-1540 ◽  
Author(s):  
Dian Hua Chen ◽  
Guo Qing Zhang ◽  
Xi Chen
Keyword(s):  
Forced Vibration ◽  
Vibration Analysis ◽  
Gear Transmission ◽  
Degree Of Freedom ◽  
Bend Strength ◽  
Analysis Model ◽  
Strength Character ◽  
Forced Vibration Analysis ◽  
Novikov Gear ◽  
Two Degree Of Freedom

In order to explore the dynamics performance of WN (Wildhaber-Novikov) gear transmission, according to the WN gear meshing transmission principle and the forced vibration theory with multi-mass and multi-degree of freedom, the nonlinear two degree of freedom forced vibration analysis model of WN gear pairs load meshing was established. Using vibration analysis and experiment, the meshing vibration behavior and tooth root bend strength of WN Gear were synthetically researched. The example calculation and the solution of the motion differential equations were completed by using numerical analysis method. The application foundation is improved for the dynamics design of WN gear transmission.

Vibration of Cams Having Two Degrees of Freedom

1964 ◽  
Vol 86 (4) ◽  
pp. 343-349 ◽  
Author(s):  
N. S. Eiss
Keyword(s):  
Analytical Solutions ◽  
Vibration Analysis ◽  
Vibration Amplitude ◽  
Degrees Of Freedom ◽  
Degree Of Freedom ◽  
The Other ◽  
Tabular Form ◽  
Two Degrees Of Freedom ◽  
Cam Follower ◽  
Two Degree Of Freedom

The vibration analysis of cam-follower systems is extended to models having two degrees of freedom. Two models are considered, one in which the cam support is rigid and the follower has two degrees of freedom, and the other, in which the cam support and follower each have one degree of freedom. Analytical solutions to six acceleration pulses are listed in tabular form. An example shows how tabulated solutions are added to give the displacement of a follower to a modified trapezoidal acceleration function. In another example, it is demonstrated how the parameters of a two-degree-of-freedom model are selected to give the minimum vibration amplitude.

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