论文标题
对有限尺寸速率独立系统的消失惯性分析，具有非自主耗散，并应用于软爬行者
A vanishing inertia analysis for finite dimensional rate-independent systems with nonautonomous dissipation, and an application to soft crawlers
论文作者
论文摘要
我们通过动态进化的消失惯性分析研究，研究了准演化的近似，以抽象的有限维速率依赖性系统提出。我们证明了动态解决方案与过度解决方案的均匀融合，并采用了能量解决方案的概念。由软运动中的应用激发，我们允许耗散电位的时间依赖性以及势能的翻译不变性。
We study the approximation of quasistatic evolutions, formulated as abstract finite-dimensional rate-independent systems, via a vanishing-inertia asymptotic analysis of dynamic evolutions. We prove the uniform convergence of dynamical solutions to the quasistatic one, employing the concept of energetic solution. Motivated by applications in soft locomotion, we allow time-dependence of the dissipation potential, and translation invariance of the potential energy.
