The Lavrentiev-Ishlinsky problem of transverse vibration of rods (INVITED)

Abstract eng:
The problem of the stability of a direct rod loaded by longitudinal impact force is considered. Lavrentiev and Ishlinski studied the simplified variant supposing that the external load expanded instantly and discovered some new effects. The given investigation presents the complicated variant with impact loading having wave character expansion. Application of the Bubnov-Galerkin approach results in a system of ordinary differential equations with periodic coefficients, which is reduced to Mathieu equations. The instability zones for different set of parameters are studied, which gives some unexpected results. In particular some specific characteristics of initial period of vibration process are investigated.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket