Stability Analysis of Elastic Vibration of Connecting Rod of a Slider‐Crank Mechanism

Abstract

A partial differential equation for elastic vibration of connecting rod of a slider‐crank mechanism is formulated by applying Theorem of Motion of Center of Mass and viscoelastic model. The partial differential equation is discretized into two second‐order ordinary differential equations by assuming a two‐mode approximation. The two equations are transformed into the first order linear ordinary differential equations with periodical coefficients. Then the stability of elastic vibration of the connecting rod is investigated using Floquet theory. Procedures for predicting the stability are developed. Finally, a case study is analyzed by applying the procedures.

Citation

Jinfu, Z., Wei, L., Weiyang, Q. and Xinsuo, H. (2006), "Stability Analysis of Elastic Vibration of Connecting Rod of a Slider‐Crank Mechanism", Multidiscipline Modeling in Materials and Structures, Vol. 2 No. 1, pp. 31-39. https://doi.org/10.1163/157361106775249943