Analysis of the interaction between bolt-reinforced rock and surface support in tunnels based on convergence-confinement method

To investigate the interaction of the bolt-reinforced rock and the surface support,an analytical model of the convergence-confinement type is proposed,considering the sequential installation of the fully grouted rockbolts and the surface support.The rock mass is assumed to be elastic-brittle-plastic material,obeying the linear Mohr-Coulomb criterion or the non-linear Hoek-Brown criterion.According to the strain states of the tunnel wall at bolt and surface support installation and the relative magnitude between the bolt length and the plastic depth during the whole process,six cases are categorized upon solving the problem.Each case is divided into three stages due to the different effects of the active rockbolts and the passive surface support.The fictitious pressure is introduced to quantify the threedimensional(3D)effect of the tunnel face,and thus,the actual physical location along the tunnel axis of the analytical section can be considered.By using the bolt-rock strain compatibility and the rocksurface support displacement compatibility conditions,the solutions of longitudinal tunnel displacement and the reaction pressure of surface support along the tunnel axis are obtained.The proposed analytical solutions are validated by a series of 3D numerical simulations.Extensive parametric studies are conducted to examine the effect of the typical parameters of rockbolts and surface support on the tunnel displacement and the reaction pressure of the surface support under different rock conditions.The results show that the rockbolts are more effective in controlling the tunnel displacement than the surface support,which should be installed as soon as possible with a suitable length.For tunnels excavated in weak rocks or with restricted displacement control requirements,the surface support should also be installed or closed timely with a certain stiffness.The proposed method provides a convenient alternative approach for the optimization of rockbolts and surface support at the preliminary stage of tunnel design.

Mechanism of high-preload support based on the NPR anchor cable in layered soft rock tunnels

The control of large deformation problems in layered soft rock tunnels needs to solve urgently.The roof problem is particularly severe among the deformation issues in tunnels.This study first analyzes the asymmetric deformation modes in layered soft rock tunnels with large deformations.Subsequently,we construct a mechanical model under ideal conditions for controlling the roof of layered soft rock tunnels through high preload with the support of NPR anchor cables.The prominent roles of long and short NPR anchor cables in the support system are also analyzed.The results indicate the significance of high preload in controlling the roof of layered soft rock tunnels.The short NPR anchor cables effectively improve the integrity of the stratified soft rock layers,while the long NPR anchor cables effectively mobilize the self-bearing capacity of deep-stable rock layers.Finally,the high-preload support method with NPR anchor cables is validated to have a good effect on controlling large deformations in layered soft rock tunnels through field monitoring data.

Roles of supporting cells in the maintenance and regeneration of the damaged inner ear:A literature review

The inner ear sensory epithelium consists of two major types of cells:hair cells(HCs)and supporting cells(SCs).Critical functions of HCs in the perception of mechanical stimulation and mechanosensory transduction have long been elucidated.SCs are indispensable components of the sensory epithelia,and they maintain the structural integrity and ionic environment of the inner ear.Once delicate inner ear epithelia sustain injuries(for example,due to ototoxic drugs or noise exposure),SCs respond immediately to serve as repairers of the epithelium and as adapters to become HC progenitors,aiming at morphological and functional recovery of the inner ear.This regenerative process is extensive in non-mammals,but is limited in the mammalian inner ear,especially in the mature cochlea.This review aimed to discuss the important roles of SCs in the repair of the mammalian inner ear.

Research on the flow stability and noise reduction characteristics of quasi-periodic elastic support skin

To enhance flow stability and reduce hydrodynamic noise caused by fluctuating pressure,a quasiperiodic elastic support skin composed of flexible walls and elastic support elements is proposed for fluid noise reduction.The arrangement of the elastic support element is determined by the equivalent periodic distance and quasi-periodic coefficient.In this paper,a dynamic model of skin in a fluid environment is established.The influence of equivalent periodic distance and quasi-periodic coefficient on flow stability is investigated.The results suggest that arranging the elastic support elements in accordance with the quasi-periodic law can effectively enhance flow stability.Meanwhile,the hydrodynamic noise calculation results demonstrate that the skin exhibits excellent noise reduction performance,with reductions of 10 dB in the streamwise direction,11 dB in the spanwise direction,and 10 dB in the normal direction.The results also demonstrate that the stability analysis method can serve as a diagnostic tool for flow fields and guide the design of noise reduction structures.

Stability mechanism and control of the pumpable supports in longwall recovery room

The load-bearing performance(LBP)of pumpable supports(PPS)is crucial for the stability of longwall pre-driven recovery room(PRR)surrounding rock.However,the unbalanced bearing coefficient(UBC)of the PPS(undertaking unequal load along the mining direction)has not been investigated.A mechanical model of the PRR was established,considering the main roof cantilever beam structure,to derive an assessment formula for the load,the failure criteria,and the UBC of the PPS.Subsequently,the generation mechanisms,and influencing factors of the UBC were revealed.Global sensitivity analysis shows that the main roof hanging length(l_(2))and the spacing between the PPS(r)significantly impact the UBC.A novel design of the PPS and the coupling control technology were proposed and applied to reduce the UBC of the PPS in the adjacent longwall PRR.Monitor results showed no failure of the PPS at the test site,with the UBC(ζ)reduced to 1.1 consistent with the design value(1.15)basically,fully utilizing the collaborative LBP of the PPS.Finally,the maximum roof-to-floor convergence of the PRR was 234 mm,effectively controlling the stability of the surrounding rock of the PRR and ensuring the mining equipment recovery.

Influence of confined water on the limit support pressure of tunnel face in weakly water-rich strata

In the process of shield tunneling through soft soil layers,the presence of confined water ahead poses a significant threat to the stability of the tunnel face.Therefore,it is crucial to consider the impact of confined water on the limit support pressure of the tunnel face.This study employed the finite element method(FEM)to analyze the limit support pressure of shield tunnel face instability within a pressurized water-containing layer.Subsequently,a multiple linear regression approach was applied to derive a concise solution formula for the limit support pressure,incorporating various influencing factors.The analysis yields the following conclusions:1)The influence of confined water on the instability mode of the tunnel face in soft soil layers makes the displacement response of the strata not significant when the face is unstable;2)The limit support pressure increases approximately linearly with the pressure head,shield tunnel diameter,and tunnel burial depth.And inversely proportional to the thickness of the impermeable layer,soil cohesion and internal friction angle;3)Through an engineering case study analysis,the results align well with those obtained from traditional theoretical methods,thereby validating the rationality of the equations proposed in this paper.Furthermore,the proposed equations overcome the limitation of traditional theoretical approaches considering the influence of changes in impermeable layer thickness.It can accurately depict the dynamic variation in the required limit support pressure to maintain the stability of the tunnel face during shield tunneling,thus better reflecting engineering reality.

Consideration of the influence of supports in modeling the electromagnetic fields of 25 kV traction networks under emergency conditions

Single-phase 25 kV traction networks of electrified alternating current(AC)railways create electromagnetic fields(EMFs)with significant levels of intensity.The most intense magnetic fields occur when short circuits exist between the contact wire and rails or ground.Despite the short duration of exposure,they can adversely affect electronic devices and induce significant voltages in adjacent power lines,which is dangerous for operating personnel.Although numerous investigations have focused on modeling the EMF of traction networks and power lines,the challenge of determining the three-dimensional electromagnetic fields near metal supports during the flow of a short-circuit current through them is yet to be resolved.In this case,the field has a complex spatial structure that significantly complicates the calculations of intensities.This study proposes a methodology,algorithms,software,and digital models for determining the EMF in the described emergency scenarios.During the modeling process,the objects being studied were represented by segments of thin wires to analyze the distribution of the electric charge and calculate the intensities of the electric and magnetic fields.This approach was implemented in the Fazonord software,and the modeling results show a substantial increase in EMF levels close to the support,with a noticeable decrease in the levels as the distance from it increases.The procedure implemented in the commercial software Fazonord is universal and can be used to determine electromagnetic fields at any electrical power facility that includes live parts of limited length.Based on the proposed procedure,the EMF near the supports of overhead power lines and traction networks of various designs could be determined,the EMF levels at substations can be calculated,and the influence of metal structures located near traction networks,such as pedestrian crossings at railway stations,can be considered.

Improving the Efficiency of Water Splitting and Oxygen Reduction Via Single-Atom Anchoring on Graphyne Support

Single-atom catalysts(SACs)have received significant interest for optimizing metal atom utilization and superior catalytic performance in hydrogen evolution reaction(HER),oxygen evolution reaction(OER),and oxygen reduction reaction(ORR).In this study,we investigate a range of single-transition metal(STM_(1)=Sc_(1),Ti_(1),V_(1),Cr_(1),Mn_(1),Fe_(1),Co_(1),Ni_(1),Cu_(1),Zr_(1),Nb_(1),Mo_(1),Ru_(1),Rh_(1),Pd_(1),Ag_(1),W_(1),Re_(1),Os_(1),Ir_(1),Pt_(1),and Au_(1))atoms supported on graphyne(GY)surface for HER/OER and ORR using first-principle calculations.Ab initio molecular dynamics(AIMD)simulations and phonon dispersion spectra reveal the dynamic and thermal stabilities of the GY surface.The exceptional stability of all supported STM_(1)atoms within the H1 cavity of the GY surface exists in an isolated form,facilitating the uniform distribution and proper arrangement of single atoms on GY.In particular,Sc_(1),Co_(1),Fe_(1),and Au_(1)/GY demonstrate promising catalytic efficiency in the HER due to idealisticΔG_(H^(*))values via the Volmer-Heyrovsky pathway.Notably,Sc_(1)and Au_(1)/GY exhibit superior HER catalytic activity compared to other studied catalysts.Co_(1)/GY catalyst exhibits higher selectivity and activity for the OER,with an overpotential(0.46 V)comparable to MoC_(2),IrO_(2),and RuO_(2).Also,Rh_(1)and Co_(1)/GY SACs exhibited promising electrocatalysts for the ORR,with an overpotential of 0.36 and0.46 V,respectively.Therefore,Co_(1)/GY is a versatile electrocatalyst for metal-air batteries and water-splitting.This study further incorporates computational analysis of the kinetic potential energy barriers of Co_(1)and Rh_(1)in the OER and ORR.A strong correlation is found between the estimated kinetic activation barriers for the thermodynamic outcomes and all proton-coupled electron transfer steps.We establish a relation for the Gibbs free energy of intermediates to understand the mechanism of SACs supported on STM,/GY and introduce a key descriptor.This study highlights GY as a favorable single-atom support for designing highly active and cost-effective versatile electrocatalysts for practical applications.

Longitudinal vibration characteristics of a tapered pipe pile considering the vertical support of surrounding soil and construction disturbance

This research is concentrated on the longitudinal vibration of a tapered pipe pile considering the vertical support of the surrounding soil and construction disturbance.First,the pile-soil system is partitioned into finite segments in the vertical direction and the Voigt model is applied to simulate the vertical support of the surrounding soil acting on the pile segment.The surrounding soil is divided into finite ring-shaped zones in the radial direction to consider the construction disturbance.Then,the shear complex stiffness at the pile-soil interface is derived by solving the dynamic equilibrium equation for the soil from the outermost to innermost zone.The displacement impedance at the top of an arbitrary pile segment is obtained by solving the dynamic equilibrium equation for the pile and is combined with the vertical support of the surrounding soil to derive the displacement impedance at the bottom of the upper adjacent segment.Further,the displacement impedance at the pile head is obtained based on the impedance function transfer technique.Finally,the reliability of the proposed solution is verified,followed by a sensitivity analysis concerning the coupling effect of the pile parameters,construction disturbance and the vertical support of the surrounding soil on the displacement impedance of the pile.

The role of polyurethane foam compressible layer in the mechanical behaviour of multi-layer yielding supports for deep soft rock tunnels

The polyurethane foam(PU)compressible layer is a viable solution to the problem of damage to the secondary lining in squeezing tunnels.Nevertheless,the mechanical behaviour of the multi-layer yielding supports has not been thoroughly investigated.To fill this gap,large-scale model tests were conducted in this study.The synergistic load-bearing mechanics were analyzed using the convergenceconfinement method.Two types of multi-layer yielding supports with different thicknesses(2.5 cm,3.75 cm and 5 cm)of PU compressible layers were investigated respectively.Digital image correlation(DIC)analysis and acoustic emission(AE)techniques were used for detecting the deformation fields and damage evolution of the multi-layer yielding supports in real-time.Results indicated that the loaddisplacement relationship of the multi-layer yielding supports could be divided into the crack initiation,crack propagation,strain-hardening,and failure stages.Compared with those of the stiff support,the toughness,deformability and ultimate load of the yielding supports were increased by an average of 225%,61%and 32%,respectively.Additionally,the PU compressible layer is positioned between two primary linings to allow the yielding support to have greater mechanical properties.The analysis of the synergistic bearing effect suggested that the thickness of PU compressible layer and its location significantly affect the mechanical properties of the yielding supports.The use of yielding supports with a compressible layer positioned between the primary and secondary linings is recommended to mitigate the effects of high geo-stress in squeezing tunnels.

Experimental and Numerical Investigation on the Aerodynamic Characteristics of High-Speed Pantographs with Supporting Beam Wind Deflectors

Aiming to mitigate the aerodynamic lift force imbalance between pantograph strips,which exacerbates wear and affects the current collection performance of the pantograph-catenary system,a study has been conducted to support the beam deflector optimization using a combination of experimental measurements and computational fluid dynamics(CFD)simulations.The results demonstrate that the size,position,and installation orientation of the wind deflectors significantly influence the amount of force compensation.They also indicate that the front strip deflectors should be installed downwards and the rear strip deflectors upwards,thereby forming a“π”shape.Moreover,the lift force compensation provided by the wind deflectors increases with the size of the deflector.Alternative wind compensation strategies,such as control circuits,are also discussed,putting emphasis on the pros and cons of various pantograph types and wind compensation approaches.

Predicting Turbidite Channel in Deep-Water Canyon Based on Grey Relational Analysis-Support Vector Machine Model:A Case Study of the Lingshui Depression in Qiongdongnan Basin,South China Sea

The turbidite channel of South China Sea has been highly concerned.Influenced by the complex fault and the rapid phase change of lithofacies,predicting the channel through conventional seismic attributes is not accurate enough.In response to this disadvantage,this study used a method combining grey relational analysis(GRA)and support vectormachine(SVM)and established a set of prediction technical procedures suitable for reservoirs with complex geological conditions.In the case study of the Huangliu Formation in Qiongdongnan Basin,South China Sea,this study first dimensionalized the conventional seismic attributes of Gas Layer Group I and then used the GRA method to obtain the main relational factors.A higher relational degree indicates a higher probability of responding to the attributes of the turbidite channel.This study then accumulated the optimized attributes with the highest relational factors to obtain a first-order accumulated sequence,which was used as the input training sample of the SVM model,thus successfully constructing the SVM turbidite channel model.Drilling results prove that the GRA-SVMmethod has a high drilling coincidence rate.Utilizing the core and logging data and taking full use of the advantages of seismic inversion in predicting the sand boundary of water channels,this study divides the sedimentary microfacies of the Huangliu Formation in the Lingshui 17-2 Gas Field.This comprehensive study has shown that the GRA-SVM method has high accuracy for predicting turbidite channels and can be used as a superior turbidite channel prediction method under complex geological conditions.

Promoting Post-Traumatic Growth in Colorectal Cancer Patients:Exploring the Role of Social Support through a Chain Mediation Model

Colorectal cancer(CRC)poses significant physical and psychological challenges that necessitate an exploration of factors influencing post-traumatic growth(PTG)for patient well-being.This study aims to investigate the effects of positive psychological capital(PsyCap)and perceived stress on mediating the social support-PTG relation among 673 CRC patients.Social support,positive PsyCap,perceived stress,and PTG were assessed through questionnaires.The results indicated a direct prediction effect of social support on PTG(LICI=0.481,ULCI=0.644),with the direct effect being 59.5%.Both positive PsyCap and perceived stress exerted a mediating role in the correlation between social support and PTG,with the mediating effects occupying 29.4%(LICI=0.217,ULCI=0.343)and 5.7%(LICI=0.030,ULCI=0.082),respectively.Positive PsyCap further had a chain mediating effect on perceived stress(LICI=0.031,ULCI=0.074),with the chain effect accounting for 5.4%.The total impact of social support on PTG was 100%(LICI=0.882,ULCI=1.008).This model underscores the pivotal role of social support in promoting PTG in CRC patients.Positive PsyCap serves as a crucial mediator in the social support-PTG link,with perceived stress playing a sequential mediating role.Thesefindings suggest that strengthening social support networks and cultivating positive PsyCap may reduce perceived stress and promote the development of PTG in CRC patients.Consequently,intervention programs are recommended to improve the psychosocial well-being of CRC patients.

Interoception mediates the association between social support and sociability in patients with major depressive disorder

BACKGROUND Interoception dysfunction has an important impact on the onset and development of major depressive disorder(MDD).Social support serves as a protective factor against MDD,and sociability also plays a significant role in this condition.These interconnected constructs-social support and sociability-play pivotal roles in MDD.However,no research on the mechanisms underlying the associations be-tween social support and sociability,particularly the potential role of interocep-tion,have been reported.ception,social support,and sociability,respectively.A mediation analysis model for the eight dimensions of intero-ception(noticing,not distracting,not worrying,attention regulation,emotional awareness,self-regulation,body listening,and trust),social support,and sociability were established to evaluate the mediating effects.RESULTS A partial correlation analysis of eight dimensions of the MAIA-2,SSRS,and TSBI scores,with demographic data as control variables,revealed pairwise correlations between the SSRS score and both the MAIA-2 score and TSBI score.In the major depression(MD)group,the SSRS score had a positive direct effect on the TSBI score,while the scores for body listening,emotional awareness,self-regulation,and trust in the MAIA-2C had indirect effects on the TSBI score.In the HC group,the SSRS score had a positive direct effect on the TSBI score,and the scores for attention regulation,emotional awareness,self-regulation,and trust in the MAIA-2C had indirect effects on the TSBI score.The proportion of mediators in the MD group was lower than that in the HC group.CONCLUSION Interoceptive awareness is a mediating factor in the association between social support and sociability in both HCs and depressed patients.Training in interoceptive awareness might not only help improve emotional regulation in depressed patients but also enhance their social skills and support networks.

Postpartum depression and partner support during the period of lactation:Correlation research and its influencing factors

BACKGROUND Postpartum depression(PPD)not only affects the psychological and physiological aspects of maternal health but can also affect neonatal growth and development.Partners who are in close contact with parturient women play a key role in communication and emotional support.This study explores the PPD support relationship with partners and its influencing factors,which is believed to establish psychological well-being and improve maternal partner support.AIM To explore the correlation between PPD and partner support during breastfeeding and its influencing factors.METHODS Convenience sampling was used to select lactating women(200 women)who underwent postpartum examinations at the Huzhou Maternity and Child Health Care Hospital from July 2022 to December 2022.A cross-sectional survey was conducted on the basic information(general information questionnaire),depression level[edinburgh postnatal depression scale(EPDS)],and partner support score[dyadic coping inventory(DCI)]of the selected subjects.Pearson’s correlation analysis was used to analyze the correlation between PPD and DCI in lactating women.Factors affecting PPD levels during lactation were analyzed using multiple linear regression.RESULTS The total average score of EPDS in 200 lactating women was(9.52±1.53),and the total average score of DCI was(115.78±14.90).Dividing the EPDS,the dimension scores were:emotional loss(1.91±0.52),anxiety(3.84±1.05),and depression(3.76±0.96).Each dimension of the DCI was subdivided into:Pressure communication(26.79±6.71),mutual support(39.76±9.63),negative support(24.97±6.68),agent support(6.87±1.92),and joint support(17.39±4.19).Pearson’s correlation analysis demonstrated that the total mean score and individual dimension scores of EPDS during breastfeeding were inversely correlated with the total score of partner support,stress communication,mutual support,and cosupport(P<0.05).The total mean score of the EPDS and its dimensions were positively correlated with negative support(P<0.05).Multiple linear regression analysis showed that the main factors affecting PPD during breastfeeding were marital harmony,newborn health,stress communication,mutual support,negative support,cosupport,and the total score of partner support(P<0.05).CONCLUSION PPD during breastfeeding was associated with marital harmony,newborn health,stress communication,mutual support,negative support,joint support,and the total DCI score.

The Impact of Social Support on the Mental Health of Cancer Patients:Evidence from China

Exploring the relationship between social support and the mental health of cancer patients is a vital endeavor for enhancing mental well-being.The objective of this study was to explore the relationship between social support and psychological well-being in cancer patients and to provide new empirical evidence for psychological improvement in cancer patients.This research holds significant practical implications for optimizing China’s public health system and strengthening the development of a healthy China.Using data from the 2018 China Health and Retirement Longitudinal Study(CHARLS)database,we empirically examined the influence of social support on the mental health of cancer patients.Models such as Ordered Probit and OLogit were used to provide empirical evidence and theoretical insights for enhancing the mental health of cancer patients in a context marked by a high prevalence of cancer.The findings indicated that both formal and informal social support mechanisms were effective in improving the mental health of cancer patients.Furthermore,we utilized the propensity score matching(PSM)model to eliminate the endogeneity issue associated with sample selectivity bias.The results obtained through PSM demonstrated robustness,underscoring the importance of addressing sample selectivity bias when assessing the impact of social support on the mental health of cancer patients.Therefore,the Chinese government is recommended to prioritize the use of social support as a means to proactively enhance the mental health of cancer patients,thereby continuously elevating their overall quality of life.

Optimism,Social Support,and Caregiving Burden among the Long-Term Caregivers:The Mediating Effect of Psychological Resilience

Background:As the elderly population grows,the demand for long-term care services is increasing.Despite significant investments in care quality and workforce training,long-term care workers often face challenges such as work fatigue,heavy workloads,and inadequate support.These issues can impact job satisfaction,mental health,and care quality,leading to staff turnover.This study examines how optimism,social support,and psychological resilience relate to caregiving burden,aiming to understand their effects on caregivers’well-being and performance to enhance the quality of long-term care services.Methods:The participants were 542 long-term care workers.Descriptive statistics,t-tests,one-way ANOVA,and hierarchical regression were used for data analysis.Results:(1)Optimism and social support were significantly and positively correlated with psychological resilience and significantly and negatively associated with caregiving burden.(2)Regarding differences in optimism,social support,psychological resilience,and caregiving burden among long-term care workers,females scored significantly higher than males in“social support;”married workers scored significantly higher than unmarried workers in“optimism,”“social support,”and“psychological resilience”;workers aged 45–65 scored significantly higher than those aged 25–45 in“optimism”;workers aged 25–45 scored significantly higher than those aged 45–65 in“caregiving burden”;social workers scored significantly higher than nursing staff in“optimism.”(3)Psychological resilience partially mediated the relationship between social support and caregiving burden concerning explanatory and predictive power.Conclusions:These findings suggest that optimism,social support,and psychological resilience are essential factors in reducing the caregiving burden among long-term care workers.The study highlights the importance of promoting psychological resilience and providing social support to alleviate the burden of caregiving.

Improvement of the nutritional support management system for patients in intensive care units

BACKGROUND Nutritional support for patients hospitalized in the intensive care unit(ICU)is an important part of clinical treatment and care,but there are significant implementation difficulties.AIM To introduce a modified nutritional support management system for ICU patients based on closed-loop information management and psychological counseling.METHODS The division of functions,personnel training,system construction,development of an intelligent decision-making software system,quality control,and improvement of the whole process were carried out to systematically manage nutritional support for ICU patients.RESULTS Following the implementation of the whole process management system,the scores of ICU medical staff’s knowledge,attitudes/beliefs,and practices regarding nutritional support were comprehensively enhanced.The proportion of hospital bed-days of total enteral nutrition(EN)in ICU patients increased from 5.58%to 11.46%,and the proportion of EN plus parenteral nutrition increased from 42.71%to 47.07%.The rate of EN initiation within 48 h of ICU admission increased from 37.50%to 48.28%,and the EN compliance rate within 72 h elevated from 20.59%to 31.72%.After the implementation of the project,the Self-rating Anxiety Scale score decreased from 61.07±9.91 points to 52.03±9.02 points,the Self-rating Depression Scale score reduced from 62.47±10.50 points to 56.34±9.83 points,and the ICU stay decreased from 5.76±2.77 d to 5.10±2.12 d.CONCLUSION The nutritional support management system based on closed-loop information management and psychological counseling achieved remarkable results in clinical applications in ICU patients.

Research on the Coordinated Control of the Multi-point Array Support Force of Complex Structural Parts

Multi-point array flexible tooling based on multilateration is widely used in the processing and manufacturing of complex curved surface parts. However, during the positioning of workpieces, the force exerted on each flexible support point is not uniform, and there exists force coupling between the support units. In response to the force coupling problem in the multi-point array positioning support process, a coordinated control method for the support force of multi-point array positioning combining correlation coefficient and regression analysis was proposed in this paper. The Spearman correlation coefficient was adopted in this method to study the force coupling correlation between positioning points, and a mathematical model of force coupling was established between positioning units through regression analysis, which can quickly and accurately perform coordinated control of the multilateration support system, and effectively improve the force interference of the multi-point array positioning support scene.

The Impact of Supervisory Career Support on Employees’Well-Being:A Dual Path Model of Opportunity and Ability

Background:In the pursuit of fostering employees’well-being,leaders are recognized as playing a vital role.However,so far,most of the existing research has focused on leadership behavior and the superficial interaction between leaders and members but has unexpectedly ignored the specific supporting role of supervisors in the career development of employees,that is,supervisory career support.Additionally,the internal mechanism of how career support from supervisors is related to and promotes employees’wellbeing is still unclear.Based on social cognitive career theory(SCCT),this study aimed to explore whether,how,and when supervisory career support affects employee well-being by introducing the two paths of‘career prospect’and‘career confidence.’Methods:During July 2023,this study employed a cross-sectional design.We gathered participants from corporate situated in Southern China.Results:Results based on a large sample of 14,533 employees showed that supervisory career support was positively related to employees’well-being through the dual path of career prospects(opportunity)and career confidence(ability).Employees high in proactive personality experienced the above positive effects most.Conclusion:This study provides meaningful implications for managers to implement personalized support strategies to improve employees’well-being.