Nonlinear Dynamic Performance Analysis of Elastic Linkage Mechanisms

1997 ◽  
Author(s):  
Zhang Xianmin ◽  
Guo Xuemei
Keyword(s):  
Nonlinear Equations ◽  
Geometric Nonlinearity ◽  
Solution Method ◽  
Dynamic Performance ◽  
Equations Of Motion ◽  
Time Varying ◽  
Linkage Mechanism ◽  
Coupling Terms ◽  
Nonlinear Equations Of Motion ◽  
Dynamic Performance Analysis

Abstract In this paper, the generalized nonlinear equations of motion for elastic linkage mechanism systems are presented, in which the gross motion and elastic deformation coupling terms and the geometric nonlinearity effects are taken into account. The equations of motion are period and time-varying nonlinear equations. According to the characteristics, solution method for this kind nonlinear equations is investigated, and an efficient closed-form iterative procedure is presented. The effects of geometric nonlinearity on linkage mechanisms are studied. The results of this study are important for dynamic design of linkage mechanism systems.

Dynamics of a Linkage Mechanism Using Sample Entropy

2020 ◽  
Vol 896 ◽  
pp. 67-74
Author(s):  
Dan B. Marghitu ◽  
Edmon Perkins
Keyword(s):  
Nonlinear Equations ◽  
Equations Of Motion ◽  
Sample Entropy ◽  
Linkage Mechanism ◽  
Numerical Techniques ◽  
Motor Torque ◽  
Angular Velocities ◽  
Nonlinear Equations Of Motion ◽  
Crank Mechanism ◽  
Generalized Coordinate

The dynamics of a slider-crank mechanism is developed using Kane's equations of motion. The motor torque is a function of the derivative of the generalized coordinate. The nonlinear equations of motion are solved using MATLAB numerical techniques. The sample entropy is calculated for different angular velocities of the crank.

scholarly journals Effect of Out-of-Roundness on the Performance of a Diesel Engine Connecting-Rod Bearing

1993 ◽  
Vol 115 (3) ◽  
pp. 538-543 ◽  
Author(s):  
D. Vijayaraghavan ◽  
D. E. Brewe ◽  
T. G. Keith
Keyword(s):  
Diesel Engine ◽  
Boundary Conditions ◽  
Nonlinear Equations ◽  
Dynamic Performance ◽  
Equations Of Motion ◽  
Load Cycle ◽  
Performance Parameters ◽  
Connecting Rod ◽  
Nonlinear Equations Of Motion

In this paper, the dynamic performance of the Ruston and Hornsby VEB diesel engine connecting-rod bearing with circular and out-of-round profiles is analyzed. The effect of cavitation is considered by using a cavitation algorithm, which mimics JFO boundary conditions. The effect of mass inertia is accounted for by solving coupled nonlinear equations of motion. The journal profiles considered are circular, elliptical, semi elliptical and three lobe epicycloid. The predicted journal trajectory and other performance parameters for one complete load cycle are presented for all of the out-of-round profiles and are also compared with the predictions for the circular bearing.

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