Bounded displacement of a damped non-linear string

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作者：

Berkeley Engineering Research Inst, Berkeley, United States ^{[1
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来源：

J Sound Vib | / 5卷 / 1115-1121期

关键词：

Boundary conditions - Boundary value problems - Dynamics - Functions - Loads (forces) - Lyapunov methods - Nonlinear equations - Partial differential equations;

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摘要：

This letter considers a damped elastic string of length l which is fixed at both ends has zero initial displacement and velocity, and is under distributed external forces. The dynamics of such a string can be represented by a nonlinear partial differential equation. This letter establishes the boundedness of the displacement of the string represented by the equation when the external force is bounded. This result has not been established despite extensive study of the system.

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