Synthesis of passive interconnections in mass chains achieving a scale-free performance

This article is concerned with the synthesis problem of passive mechanical admittances that connect masses in a chain. The mass chain is excited at one boundary point, and the admittances are designed to suppress the disturbance independent of the length of the chain. The scalar transfer functions from the disturbance to a given intermass displacement are studied. The disturbance rejection performance is optimised over a class of arbitrary positive real mechanical admittances. The resulting admittance is synthesised mechanically using springs, dampers, and inerters only.

Microscopic study of nuclear structure dynamics of neutron-deficient even–even 100–110Cd isotopes within the framework of projected shell model

We have studied the deformation systematics of [Formula: see text] and [Formula: see text] values, yrast spectra, band structure and backbending phenomena in the neutron-deficient even–even [Formula: see text]Cd isotopes within the projected shell model (PSM) framework. The observations of the systematics of [Formula: see text] and [Formula: see text] values for [Formula: see text]Cd isotopes are well reproduced in present calculations. Our observations show that, as we move from [Formula: see text]Cd to [Formula: see text]Cd, the deformation increases and then it reduces up to [Formula: see text]Cd. This gives us a confirmation that [Formula: see text]Cd is the most deformed nucleus in this set of isotopic mass chain. The backbending phenomena is also observed in these isotopes, which can be related to the crossing of ground band (g-band) by 2-quasiparticle (qp) bands or s-bands. The pseudomagic character of [Formula: see text]Cd has also been observed.

Flexural Wave Propagation in Mass Chain-Filled Carbon Nanotubes

The propagation characteristics of terahertz (THz) flexural waves in mass chain-filled single-walled carbon nanotubes (MCSCs) are studied using a continuum mechanics approach and molecular dynamics (MD) simulations, where each single-walled carbon nanotube (SWCNT) is modeled as a nonlocal Timoshenko beam based on the nonlocal strain gradient theory. The effect of the surrounding elastic medium and the van der Waals (vdW) interactions between the mass chain and the SWCNT on the wave propagation is quantitatively considered in governing equations, respectively. The analytical expressions of two flexural wave branches and the bandgap between the two branches are derived. When combining our MD simulations of the carbon-atom chain-filled SWCNT, the wave within the bandgap disperses rapidly, and the mass chain has a significant influence on the phase velocity of the flexural wave. The present theoretical solution has a high accuracy in a wide frequency range up to the THz region. In particular, the surrounding elastic medium of the MCSCs remarkably affects the phase velocity for low frequencies, but not for high frequencies. The present study indicates that the wave propagation of a SWCNT could be modulated by changing the filled mass chain and the surrounding elastic medium.