Forced vibration and special effects of revolution shells in turning point range

The forced vibration in the turning point frequency range of a truncated revolution shell subject to a membrane drive or a bending drive at its small end or large end is studied by applying the uniformly valid solutions obtained in a previous paper. The vibration shows a strong coupling between the membrane and bending solutions： either the membrane drive or the bending drive causes motions of both the membrane type and bending type. Three interesting effects characteristic of the forced vibration emerge from the coupling nature： the non-bending effect, the inner-quiescent effect and the inner-membrane-motion-and-outer-bending-motion effect. These effects may have potential applications in engineering.

Association of point in range withβ-cell function and insulin sensitivity of type 2 diabetes mellitus in cold areas

Background and Objective:Self-monitoring of blood glucose(SMBG)is crucial for achieving a glycemic target and upholding blood glucose stability,both of which are the primary purpose of anti-diabetic treatments.However,the association between time in range(TIR),as assessed by SMBG,andβ-cell insulin secretion as well as insulin sensitivity remains unexplored.Therefore,this study aims to investigate the connections between TIR,derived from SMBG,and indices representingβ-cell functionality and insulin sensitivity.The primary objective of this study was to elucidate the relationship between short-term glycemic control(measured as points in range[PIR])and bothβ-cell function and insulin sensitivity.Methods:This cross-sectional study enrolled 472 hospitalized patients with type 2 diabetes mellitus(T2DM).To assessβ-cell secretion capacity,we employed the insulin secretion-sensitivity index-2(ISSI-2)and(ΔC-peptide_(0-120)/Δglucose_(0-120))×Matsuda index,while insulin sensitivity was evaluated using the Matsuda index and HOMA-IR.Since SMBG offers glucose data at specific point-in-time,we substituted TIR with PIR.According to clinical guidelines,values falling within the range of 3.9-10 mmol were considered"in range,"and the corresponding percentage was calculated as PIR.Results:We observed significant associations between higher PIR quartiles and increased ISSI-2,(ΔC-peptide_(0-120)/Δglucose_(0-120))×Matsuda index,Matsuda index(increased)and HOMA-IR(decreased)(all P<0.001).PIR exhibited positive correlations with log ISSI-2(r=0.361,P<0.001),log(ΔC-peptide_(0-120)/Δglucose_(0-120))×Matsuda index(r=0.482,P<0.001),and log Matsuda index(r=0.178,P<0.001)and negative correlations with log HOMA-IR(r=-0.288,P<0.001).Furthermore,PIR emerged as an independent risk factor for log ISSI-2,log(ΔC-peptide_(0-120)/Δglucose_(0-120))×Matsuda index,log Matsuda index,and log HOMA-IR.Conclusion:PIR can serve as a valuable tool for assessingβ-cell function and insulin sensitivity.

Feasibility study of autonomous orbit determination using only the crosslink range measurement for a combined navigation constellation

In order to expand the coverage area of satellite navigation systems, a combined navigation constellation which is formed by a global navigation constellation and a Lagrangian navigation constellation was studied. Only the crosslink range measurement was used to achieve long-term precise autonomous orbit determination for the combined navigation constellation, and the measurement model was derived. Simulations of 180 days based on the international global navigation satellite system（GNSS） service（IGS） ephemeris showed that the mentioned autonomous orbit determination method worked well in the Earth–Moon system. Statistical results were used to analyze the accuracy of autonomous orbit determination under the influences of different Lagrangian satellite constellations.