Recent Developments of Antimony-Based Anodes for Sodiumand Potassium-Ion Batteries

The development of sodium-ion(SIBs)and potassium-ion batteries(PIBs)has increased rapidly because of the abundant resources and cost-effectiveness of Na and K.Antimony(Sb)plays an important role in SIBs and PIBs because of its high theoretical capacity,proper working voltage,and low cost.However,Sb-based anodes have the drawbacks of large volume changes and weak charge transfer during the charge and discharge processes,thus leading to poor cycling and rapid capacity decay.To address such drawbacks,many strategies and a variety of Sb-based materials have been developed in recent years.This review systematically introduces the recent research progress of a variety of Sb-based anodes for SIBs and PIBs from the perspective of composition selection,preparation technologies,structural characteristics,and energy storage behaviors.Moreover,corresponding examples are presented to illustrate the advantages or disadvantages of these anodes.Finally,we summarize the challenges of the development of Sb-based materials for Na/K-ion batteries and propose potential research directions for their further development.

Periodic Solutions for a Damped Rayleigh Beam Model with Time Delay

Vibrations of a beam can be described as an Euler-Bernoulli beam,or as a Rayleigh beam or as a Timoshenko beam.In this paper,we establish the existence of periodic solutions in time for a damped Rayleigh beam model with time delay,which is treated as a bifurcation parameter.The main proof is based on a Lyapunov-Schmidt reduction together with the classical implicit function theorem.Moreover,we give a sufficient condition for a direction of bifurcation.