Further results on inverse eigenvalue problem for mass–spring–inerter systems

Abstract

This paper is concerned with the inverse eigenvalue problem (IEP) for “fixed–fixed” mass–spring–inerter systems. Unlike the “fixed–free” case, a “fixed–fixed” system has its both ends attached to the ground. This brings some essential differences in the IEP. We find that the construction strategy proposed in Liu et al. (2022) cannot be readily applied here. So we endeavor to develop a new strategy in this paper to solve the problem and accordingly derive a necessary and sufficient condition for the “fixed–fixed” case.