热弹性梁振动系统稳定性分析

Analysis of the stability to the vibrational systems of thermoelasticity-beams

摘要: 研究了一类热弹性梁振动系统 ,用 Hilbert空间中线性算子半群理论证明了该类系统解的存在唯一性 ,得出了系统的稳定性结论 .

Abstract: A class of flexible systems of thermoelasti city-beams are discussed. Applying the theory of semigroup of linear operators i n Hilbert space, the existence and uniqueness of solutions of the systems are pr oved, and the stability of the systems is obtained.