Affiliation:
1. Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest, H-1521, Hungary
Abstract
In the space of the system parameters, the stability charts are determined for the delayed and damped Mathieu equation defined as x¨t+κx˙t+δ+ε cos txt=bxt−2π. This stability chart makes the connection between the Strutt-Ince chart of the damped Mathieu equation and the Hsu-Bhatt-Vyshnegradskii chart of the autonomous second order delay-differential equation. The combined charts describe the intriguing stability properties of an important class of delayed oscillatory systems subjected to parametric excitation.
Subject
Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering
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