General decay of energy to a nonlinear viscoelastic two-dimensional beam

doi:10.1007/s10483-018-2389-6

摘要/Abstract

摘要： A viscoelastic beam in a two-dimensional space is considered with nonlinear tension. A boundary feedback is applied at the right boundary of the beam to suppress the undesirable vibration. The well-posedness of the problem is established. With the multiplier method, a uniform decay result is proven.

关键词: secondary instabilities, large scale structure, bifurcation, two-dimensional space, nonlinear tension, viscoelastic beam, exponential decay, Lyapunov functional

Abstract: A viscoelastic beam in a two-dimensional space is considered with nonlinear tension. A boundary feedback is applied at the right boundary of the beam to suppress the undesirable vibration. The well-posedness of the problem is established. With the multiplier method, a uniform decay result is proven.

Key words: secondary instabilities, large scale structure, bifurcation, viscoelastic beam, Lyapunov functional, two-dimensional space, exponential decay, nonlinear tension

中图分类号:

5B40
35L70

B. LEKDIM, A. KHEMMOUDJ. General decay of energy to a nonlinear viscoelastic two-dimensional beam[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(11): 1661-1678.

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