2013•Advanced materials researchOpen access

Stability of Implicit Midpoint Algorithm Applied to Structures with Nonlinear Damping

Tian Lin Pan, Bin Wu, Yong Sheng Chen

Abstract

Stability of implicit midpoint algorithm applied to solving the equation of motion with nonlinear damping. The analytical and numerical study exhibit the unconditional stability of implicit midpoint scheme for nonlinear damping systems. The work of the present paper provides theoretic base for further application of this implicit midpoint approach.

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Key concepts: Midpoint, Midpoint method, Nonlinear system, Stability (learning theory), Mathematics, Base (topology), Scheme (mathematics), Work (physics)