Abstract
An analytical model for investigating parametric vibration stability of slider-crank mechanisms with flexible coupler is presented. The continuous model is formulated to account for initial curvature as well as internal material damping in the coupler. The governing partial differential equations are reduced to a system of ordinary differential equations in terms of the time-dependent modal coefficients. Floquet theory is employed to determine the effects of geometric stiffening as well as relative component mass on parametric stability of mechanism response. Results indicate the existence of instability regions due to combination resonances of various modes. In addition, the stability characteristics of the mechanism is found to improve when slider forces are directed away from the crank-ground pin (i.e. the connecting rod is in tension), and when a relatively smaller slider mass is used.
| Original language | American English |
|---|---|
| Journal | American Society of Mechanical Design, Design Engineering Division |
| State | Published - Jan 1 1991 |
Keywords
- Elasticity
- Mathematical Models
- Mathematical Techniques-Differential Equations
- Vibrations-Stability
Disciplines
- Aerospace Engineering
- Mechanical Engineering
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