负刚度阻尼方程解的稳定性
Stability of Solutions to Damped Equations with Negative Stiffness
摘要：
本文研究了具有正阻尼和负刚度的质量弹簧系统模型的稳定性。众所周知，当系数在时间上冻结时，系统是不稳定的。在这里，我们找到了条件的可变系数，以证明稳定性。特别是，我们反驳认为，如果系统的特征值变化缓慢的时间系统仍然不稳定。我们将我们的一些结果推广到非线性系统。
英文摘要：
This article concerns the stability of a model for mass-spring systems with positive damping and negative stiness. It is well known that when the coefficients are frozen in time the system is unstable. Here we find conditions on the variable cofficients to prove stability. In particular, we disprove the believe that if the eigenvalues of the system change slowly in time the system remains unstable. We extend some of our results for nonlinear systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
