joined the faculty at Michigan State University in 1992. He currently serves as the Associate Chair of Undergraduate Studies in the Department of Mechanical Engineering. His research focus is on pedagogy, design optimization of large and complex systems, and design for sustainable agriculture.
joined the faculty at Michigan State University in 1992. He currently serves as the Associate Chair of Undergraduate Studies in the Department of Mechanical Engineering. His research focus is on design optimization of large and complex systems, analysis of composite materials and structures, and design for sustainable agriculture.
Coexistence phenomenon refers to the absence of expected tongues of instability in parametrically excited systems. In this paper we obtain sufficient conditions for coexistence to occur in the generalized Ince equation: (1+a1cost+a2cos2t)v¨+(b1sint+b2sin2t)v˙+(δ+c1cost+c2cos2t)v=0 The results are applied to the stability of motion of a nonlinear normal mode, the x-mode, in a class of conservative two degree of freedom systems.
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