A simplified recursive formulation for the dynamic analysis of planar mechanisms

2001 ◽  
Vol 149 (1-4) ◽  
pp. 11-21
Author(s):  
H. A. Attia
Author(s):  
Jian-Qing Zhang ◽  
Ting-Li Yang

Abstract This work presents a new method for kinetostatic analysis and dynamic analysis of complex planar mechanisms, i.e. the ordered single-opened-chains method. This method makes use of the ordered single-opened chains (in short, SOC,) along with the properties of SOC, and the network constraints relationship between SOC,. By this method, any planar complex mechanism can be automatically decomposed into a series of the ordered single-opened chains and the optimal structural decomposition route (s) can be automatically selected for dynamic analysis, the paper present the dynamic equation which can be used to solve both the kinetostatic problem and the general dynamic problem. The main advantage of the proposed approach is the possibility to reduce the number of equations to be solved simultaneously to the minimum, and its high automation as well. The other advantage is the simplification of the determination of the coefficients in the equations, and thus it maybe result in a much less time-consuming algorthem. The proposed approach is illustrated with three examples. The presented method can be easily extended to the dynamic analysis of spatial mechanisms.


2015 ◽  
Vol 816 ◽  
pp. 31-34
Author(s):  
Ján Vavro ◽  
Ján Vavro ◽  
Petra Kováčiková ◽  
Radka Bezdedová

The paper presents a kinematic and dynamic analysis of a planar mechanism by means of the Cosmos Motion 2.85 program. Graphic dependence of kinematic and dynamic magnitudes of some points is given in dependence on the angle of rotation of the driving item and on the time.


2017 ◽  
Vol 17 (3) ◽  
pp. 397-401 ◽  
Author(s):  
Ján Vavro ◽  
Ján Vavro ◽  
Petra Kováčiková ◽  
Radka Bezdedová ◽  
Jakub Híreš

Author(s):  
B M Bahgat ◽  
M O M Osman ◽  
T S Sankar

The paper develops a general procedure for the dynamic analysis of planar mechanisms with multiple clearance. The analysis mainly relies on determining the clearance angles βi at mechanism revolutes for each phase of the analysis. The governing equations of each clearance angle are developed using Lagrangian mechanics. The solution is obtained in the form of sufficient number of harmonic terms and used to evaluate systematically kinematic and dynamic quantities of the mechanism. A slider-crank mechanism with three revolute clearances is analysed to illustrate the procedure.


Author(s):  
M O M Osman ◽  
B M Bahgat ◽  
T S Sankar

The paper develops a general procedure for the dynamic analysis of planar mechanisms with multiple clearance. The analysis mainly relies on determining the clearance angles Bij its first and second derivatives. The governing equations of each clearance angle are developed on the condition that the variations in displacements and velocities due to clearance effect are very small and could be ignored. Also, the equations governing these clearance angles are developed such that the common normal at the point of contact at each clearance connection coincides with the direction of the clearance eccentricity vector which has the same direction of the normal force at the point of contact. A quick-return motion mechanism with seven clearances is considered to illustrate the procedure.


1990 ◽  
Vol 56 (523) ◽  
pp. 687-692 ◽  
Author(s):  
Yoshihiro SAKAMOTO ◽  
Hiroaki FUNABASHI ◽  
Mikio HORIE ◽  
Kiyoshi OGAWA ◽  
Takao AKATSUKA

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