Firey linear combinations of convex bodies

For convex bodies, the Firey linear combinations were introduced and studied in several papers. In this paper the mean width of the Firey linear combinations of convex bodies is studied, and the lower bound of the mean width of the Firey linear combinations of convex body and its polar body is given.

Pressure stimulated current in progressive failure process of combined coal-rock under uniaxial compression:Response and mechanism

Effective monitoring of the structural health of combined coal-rock under complex geological conditions by pressure stimulated currents(PSCs)has great potential for the understanding of dynamic disasters in underground engineering.To reveal the effect of this way,the uniaxial compression experiments with PSC monitoring were conducted on three types of coal-rock combination samples with different strength combinations.The mechanism explanation of PSCs are investigated by resistivity test,atomic force microscopy(AFM)and computed tomography(CT)methods,and a PSC flow model based on progressive failure process is proposed.The influence of strength combinations on PSCs in the progressive failure process are emphasized.The results show the PSC responses between rock part,coal part and the two components are different,which are affected by multi-scale fracture characteristics and electrical properties.As the rock strength decreases,the progressive failure process changes obviously with the influence range of interface constraint effect decreasing,resulting in the different responses of PSC strength and direction in different parts to fracture behaviors.The PSC flow model is initially validated by the relationship between the accumulated charges of different parts.The results are expected to provide a new reference and method for mining design and roadway quality assessment.

Experimental and numerical study of coal-rock bimaterial composite bodies under triaxial compression

To accurately predict coal burst hazards and estimate the failure of coal pillars in underground coal mining systems,it is of great significance to understand the mechanical behavior of coal-rock bimaterial composite structures.This paper presents experimental and numerical investigations on the response of rock-coal,coal-rock,and rock-coal-rock bimaterial composite structures under triaxial compression.The triaxial compression experiments are conducted under confining pressures in the range of 0-20 MPa.The resulting inside fracture networks are detected using X-ray-based computed tomography(CT).The experimentally observed data indicate that the mechanical parameters of the rock-coalrock composites are superior to those of the rock-coal and coal-rock combinations.After compression failure,the coal-rock combination specimens are analyzed via X-ray CT.The results display that the failure of the coal-rock composite bodies primarily takes place within the coal.Further,the bursting proneness is reduced by increasing confining pressure.Subsequently,the corresponding numerical simulations of the experiments are carried out by using the particle flow code.The numerical results reveal that coal is vulnerable with regard to energy storage and accumulation.

Heterogeneous information phase space reconstruction and stability prediction of filling body–surrounding rock combination

Traditional research believes that the filling body can effectively control stress concentration while ignoring the problems of unknown stability and the complex and changeable stress distribution of the filling body–surrounding rock combination under high-stress conditions.Current monitoring data processing methods cannot fully consider the complexity of monitoring objects,the diversity of monitoring methods,and the dynamics of monitoring data.To solve this problem,this paper proposes a phase space reconstruction and stability prediction method to process heterogeneous information of backfill–surrounding rock combinations.The three-dimensional monitoring system of a large-area filling body–surrounding rock combination in Longshou Mine was constructed by using drilling stress,multipoint displacement meter,and inclinometer.Varied information,such as the stress and displacement of the filling body–surrounding rock combination,was continuously obtained.Combined with the average mutual information method and the false nearest neighbor point method,the phase space of the heterogeneous information of the filling body–surrounding rock combination was then constructed.In this paper,the distance between the phase point and its nearest point was used as the index evaluation distance to evaluate the stability of the filling body–surrounding rock combination.The evaluated distances(ED)revealed a high sensitivity to the stability of the filling body–surrounding rock combination.The new method was then applied to calculate the time series of historically ED for 12 measuring points located at Longshou Mine.The moments of mutation in these time series were at least 3 months ahead of the roadway return dates.In the ED prediction experiments,the autoregressive integrated moving average model showed a higher prediction accuracy than the deep learning models(long short-term memory and Transformer).Furthermore,the root-mean-square error distribution of the prediction results peaked at 0.26,thus outperforming the no-prediction method in 70%of the cases.

A novel binary effective medium model to describe the prepeak stressstrain relationship of combined bodies of rock-like material and rock

Combined bodies of rock-like material and rock are widely encountered in geotechnical engineering,such as tunnels and mines.The existing theoretical models describing the stress-strain relationship of a combined body lack a binary feature.Based on effective medium theory,this paper presents the governing equation of the“elastic modulus”for combined and single bodies under triaxial compressive tests.A binary effective medium model is then established.Based on the compressive experiment of concretegranite combined bodies,the feasibility of determining the stress threshold based on crack axial strain is discussed,and the model is verified.The model is further extended to coal-rock combined bodies of more diverse types,and the variation laws of the compressive mechanical parameters are then discussed.The results show that the fitting accuracy of the model with the experimental curves of the concretegranite combined bodies and various types of coal-rock combined bodies are over 95%.The crack axial strain method can replace the crack volumetric strain method,which clarifies the physical meanings of the model parameters.The variation laws of matrix parameters and crack parameters are discussed in depth and are expected to be more widely used in geotechnical engineering.

Effects of water intrusion and loading rate on mechanical properties of and crack propagation in coal–rock combinations

Tackling the problems of underground water storage in collieries in arid regions requires knowledge of the effect of water intrusion and loading rate on the mechanical properties of and crack development in coal–rock combinations. Fifty-four coal–rock combinations were prepared and split equally into groups containing different moisture contents(dry, natural moisture and saturated) to conduct acoustic emission testing under uniaxial compression with loading rates ranging from 0.1 mm/min to 0.6 mm/min. The results show that the peak stress and strength-softening modulus, elastic modulus, strain-softening modulus, and post-peak modulus partly decrease with increasing moisture content and loading rate. In contrast, peak strain increases with increasing moisture content and fluctuates with rising loading rate. More significantly, the relationship between stiffness and stress, combined with accumulated counts of acoustic emission, can be used to precisely predict all phases of crack propagation. This is helpful in studying the impact of moisture content and loading rate on crack propagation and accurately calculating mechanical properties. We also determined that the stress thresholds of crack closure, crack initiation, and crack damage do not vary with changes of moisture content and loading rate, constituting 15.22%, 32.20%, and 80.98% of peak stress, respectively. These outcomes assist in developing approaches to water storage in coal mines, determining the necessary width of waterproof coal–rock pillars, and methods of supporting water-enriched roadways, while also advances understanding the mechanical properties of coal–rock combinations and laws of crack propagation.

THE DUAL BRUNN-MINKOWSKI INEQUALITIES FOR STAR DUAL OF MIXED INTERSECTION BODIES

In this article, some dual Brunn-Minkowski inequalities are established for star dual of mixed intersection bodies with respect to the harmonic p-combination and p-radial linear combination.

Failure behavior of a rock-coal-rock combined body with a weak coal interlayer

Using an MTS 815 testing machine,the deformation and failure behavior of a rock-coal-rock combined body containing a weak coal interlayer has been investigated and described in this paper.Uniaxial loading leads to the appearance of mixed cracks in the coal body which induce instability and lead to bursts in coal.If the mixed crack propagates at a sufficiently high speed to carry enough energy to damage the roof rock,then coal and rock bursts may occur-this is the main mechanism whereby coal bumps or coal and rock bursts occur after excavation unloading.With increasing confining pressure,the failure strength of a rock-coal-rock combined body gradually increases,and the failure mechanism of the coal interlayer also changes,from mixed crack damage under low confining pressures,to parallel crack damage under medium confining pressures,and finally to single shear crack damage or integral mixed section damage under high confining pressures.In general,it is shown that a weak coal interlayer changes the form of overall coal damage in a rock-coal-rock combined body and reduces the overall stability of a coal body.Therefore,the whole failure behavior of a rock-coal-rock combined body in large cutting height working faces is controlled by these mechanisms.

Meat Production Performances of Geese in Different Crossbred Combinations

[ Objective] To study the meat production performance of geese in different crossbred combination, and provide a reference for cultivating new multiplication strains of meat geese. [Method] A total of five goose breeds including Taihu goose （T）, Wulong goose （WL）, Wanxi white goose （WX）, Sichuan white goose （SC） and Sanhua goose （SH） were used as research objects, and eight crossbred combinations were designed. The body measurements, slaughter performance, conventional meat quality and muscle composition of 90-day-old geese in eight crossbred combinations were determined and comparatively analyzed. [ Result] All the body measurement indexes except thud width of WXSC combination were the biggest in the eight crossbred combinations. Contrarily, the body measurement indexes of SHSC combination, including average body weight, body slope length, breast depth, breast width, shank length, neck length and half-diving depth were the lowest in the eight crossbred combinations. The live weight, slaughter weight and abdomen fat weight of WXSC combinations ware 3 291.36, 2 956.46 and 77.84 g, respectively, which were the biggest in eight crossbred combinations. The slaughter rate of SHWL combinations was 92.96%, and more than other crossbred combinations. The shear force of SHT and WXWL combinations were the lowest （3.09 kg） and the highest （3.78 kg）, respectively. The water holding capacities of SCWL and WXSC combinations were the highest （66.46%） and the lowest （61.48%）, respectively. The percentage of moisture content of SHWL and SCT combinations were the highest （73.05%） and the lowest （66.77%）, respectively. The crude protein content of SHT and SHWL combinations were the highest （23.32%） and the lowest （21.94%）, respectively. The percentage of crude fat content of SHT and SCWL combinations were the highest （3.06%） and the lowest （1.67%）, respectively. [ Concusion] The growth rate of WXSC combination is the fastest, and the meat performance of SHT combination is the best.

五体合五脏辨证思维在中医骨伤教学的应用

辨证论治是中医骨伤教学的重要内容,也是临床诊疗的关键环节。目前,五体辨证和五脏辨证均应用广泛,但骨伤研究生临床实践多进行单一辨证,难以灵活运用两种辨证思维。文章拟重点阐述“五体合五脏”辨证思维在中医骨伤教学中的具体应用,基于“五体”(皮、肉、筋、骨、脉)和“五脏”(肺、脾、肝、肾、心)的关系,深入分析二者疾病传变规律和防治原则,培养学生司外揣内、未病先防、既病防变的中医思维,提高其辨证能力和临床诊疗水平。

Compression failure conditions of concrete-granite combined body with different roughness interface

Bedrock and concrete lining are typical composite structures in the engineering field and the stability of the geological body and engineering body is directly connected to the mechanical properties of the composite body.Under this background,the study provides the transverse isotropic equivalent model of concrete-granite double-layer composite based on the notion of strain energy equivalence.Assuming that the strength failure of concrete and granite meets the Mohr-Coulomb criterion,then the strength failure model of the combined body considering the joint roughness coefficient(JRC)is derived,and the influences of JRC,the height ratio of concrete to granite,and confining pressure on the strength failure characteristics of the combined body are emphatically analyzed.Finally,the model applicability is illustrated by the uniaxial and triaxial compression tests on concrete monomer,granite monomer and concretegranite composite samples(CGCSs)with different JRCs.The results revealed that the compressive strength of the composite is closer to the concrete with lower strength in the combined body under different confining pressures.Adding interface roughness causes to raise the compressive strength of the composite due to interfacial adhesion between concrete and granite,and a slowing growth trend is observed in compressive strength as roughness.The model can provide a certain reference for the stability design and evaluation of engineering rock mass.

Experimental Study on Dynamic Mechanical Properties of Sprayed Concrete-Surrounding Rock Combined Body

To investigate the dynamic response problem of the double medium formed by the adherence of sprayed concrete and surrounding rock in the tunnel,a split Hopkinson pressure bar of 75 mm in diameter was adopted at the ages of 3,7 and 10 d.Experimental results showed that dynamic compressive strength and dynamic increase factors(DIF)of the combined bodies increase with the strain rate.With the growth of strain rate,the critical strain of the combined bodies first increases,then deceases.Furthermore,the combined bodies of 3 d reveal the plastic property and brittle property for 7 d and 10 d when the strain rate is over 80/s.The failure characteristic of the sprayed concrete changes from tearing strain damage to crushing damage as the growth of strain rate,and the failure characteristic of rock presents the tensile failure mode as demonstrated by the scanning electron microscope(SEM).

Reasonable location parameters of pick and nozzle in combined cutting system

The drum shearer and high pressure water jet combined cutting system is an effective technology to cut hard coal-rock, but one problem of the technology is the choice of pick and nozzle location parameters. In order to solve the problem, the process and mechanism of combined cutting arc studied and mining seepage catastrophe theory is used to construct the mathematic and physical model of combined cutting hard coal-rock. Based on the model and detailed analysis of combined cutting mechanism, the single pick and nozzle combined cutting test-bed is built to test the main pick and nozzle location parameters of drum shearer and water jet combined cutting system. Test results show that the best vertical distance between the pick-tip and nozzle center point is the sum of cutting thickness and proper target distance in the Y axial direction; the best horizontal distance is the length between pick-tip point and coal-rock surface bursting crack point in the X axial direction. The best incident angle of water jet should be the same as the bursting crack line＇s angle in theory, but considering other important factors comprehensively, it is more reasonable when the incident angle of water jet is 90°.

Combined Effects of Exposure to Noise and Vibration on Human Postural Equilibrium under Simulated Driving Conditions

There is little information about drivers’body balance responses to combined exposure of noise and vibration.To fill the gap,this study aims to investigate the combined effects of exposure to noise and whole-body vibration(WBV)on the body balance under simulated driving conditions.For this purpose,30 male participants were exposed to noise level at 85 dB(A)and two vibration levels(0.87 and 1.3 m/s^(2))in five sessions.The design of the study was repeated-measures,and it attempted to assess the effects of 40 minutes of exposure to noise and/or WBV.Moreover,the participants’fatigue was measured with the Borg scale(CR 10).The findings revealed there was a significant change in body sway after WBV and combined noise and WBV exposure(p<0.05).However,no significant difference was found in exposure to noise alone(p>0.05).The effect sizes of exposure to noise,WBV(1.3 m/s^(2)),and combined noise and WBV(1.3 m/s^(2))on body balance were 0.035,0.425,and 0.635,respectively.Also,single exposure to WBV caused more fatigue than single exposure to noise(p<0.05).Combined noise and WBV exposure descriptively caused more fatigue in comparison with the influence of WBV alone.The study concluded that the combined effects of exposure to noise and vibration are more than the sum of them.So,some synergistic effects may be observed in human body balance.It is essential to increase drivers’awareness and revise current health care interventions about new possible effects of combined exposures.

藏鸡杂交组合生长发育规律研究

研究旨在通过藏鸡杂交分析其生长发育规律,为藏鸡的杂交利用打好理论基础。以藏鸡纯系及其他2个地方鸡培育品系为素材,组成3个二元杂交组合和2个纯系组合,观测育雏期体重、公鸡7~13周龄体重、母鸡7~44周龄体重和13周龄公母鸡体尺、44周龄母鸡体尺,分析体重体尺相关性,探明藏鸡杂交鸡生长发育规律。结果显示:杂交组合各阶段公母鸡体重均明显大于藏鸡纯系(P<0.05),13周龄公母鸡体尺、44周龄母鸡体尺也明显大于藏鸡纯系(P<0.05)。各杂交组合公鸡体重体尺相关性较高,而母鸡则较低,综合分析表明,含藏鸡血缘的杂交鸡体重、体尺性状与藏鸡纯系相比均显著提高(P<0.05),其生长性能具有明显杂交优势。

特殊体型男西装高级定制虚拟仿真实验建设与实践

传统的特殊体型男西装高级定制实验教学存在特殊体型模特缺乏、西装款式单一、成本高、周期长及教学效果差等问题。基于虚拟仿真技术,文章对这一重点与难点综合实验进行了建设实践,构建了虚实结合的线上线下混合式实验教学体系,并在实际教学中实施。该虚拟仿真实验教学体系可引导服装专业学生通过探究式学习实现理论知识向工程实践应用的转化,培养学生解决复杂工程问题的能力。

循环水岩作用下煤岩组合体力学响应及劣化机制

煤矿地下水库的建立解决了我国西部干旱-半干旱生态脆弱区的缺水问题。地下水库不断进行着蓄水-抽水,地下水库水位的反复升降对水库坝体产生反复损伤作用,而半煤岩坝体、煤岩夹矸坝体为地下水库常见的坝体。基于此,设计进行了不同“干燥-饱和”循环次数的砂岩-煤组合体不同围压下的轴向压缩试验,分析循环浸水作用下煤岩组合体力学特性劣化规律和劣化机制。结果表明:(1)随着循环次数的增加,组合体的饱和含水率逐渐增大。饱和含水率与循环次数呈对数关系。(2)随着循环次数的增加,应力-应变曲线压密阶段增长,弹性阶段斜率减小,峰值应力降低,峰值应变增大,屈服阶段愈加明显,应力跌落变缓。(3)随着循环次数的增加,组合体抗压强度逐渐降低,循环1~3次,抗压强度劣化幅度较为明显。抗压强度阶段劣化度具有非均匀性。(4)循环1~5次,黏聚力下降了70.87%,内摩擦角下降了60.65%。(5)循环1~3次,组合体弹性模量下降了53.06%,变形模量下降了61.10%。(6)循环浸水作用下,试样微观裂纹逐渐发育,矿物颗粒由原来的棱角分明的多边形向浑圆形逐渐发展,大的矿物颗粒逐渐崩解为小颗粒,颗粒间胶结作用逐渐弱化,由紧凑致密结构向松散软弱结构转变。(7)循环浸水作用下,水岩发生反复的物理、化学、力学作用,对煤岩产生反复损伤,最终导致宏观力学特性的劣化。

组合运动干预对肥胖女青少年身体成分、心血管风险因素及心肺适能影响的研究

背景目前,全球范围内肥胖儿童青少年数量急剧增加,其中,5~19岁人群肥胖患病率约增加了8倍,2~4岁儿童肥胖患病率约增加了1倍。运动干预对于改善肥胖和增强心肺适能具有重要影响。但缺乏组合运动干预对14~16岁肥胖女青少年影响的研究。目的探讨12周组合运动干预对肥胖女青少年身体成分、心血管风险因素及心肺适能的影响。方法于2022年5—7月在山东曲阜市选取14~16岁肥胖女青少年48名作为研究对象,将48名研究对象进行编号,然后利用随机数字分为试验组(24名)和对照组(24名)。试验组根据纳排标准最后纳入20名女生,整个干预过程持续12周,包括跳绳运动干预和跆拳道运动干预;而对照组在整个12周中不进行任何运动干预和其他饮食或者药物干预。分别在12周运动干预前和运动干预后检测受试者身高、体质量、体脂率、腰围、BMI、血压、空腹血糖(FPG)、胰岛素、胰岛素抵抗指数(HOMA-IR)及最大摄氧量(VO_(2max))等,并比较两组及干预前后各指标的差异。采用Pearson相关性分析探讨肥胖女青少年体脂率、腰围与VO_(2max)的相关性。结果干预前,两组女生年龄、身高、体质量、体脂率、腰围、BMI、收缩压(SBP)、舒张压(DBP)、脉压、FPG、胰岛素、HOMAIR、最大完成次数(Laps)、最大跑速(MAS)、VO_(2max)比较,差异均无统计学意义(P>0.05);12周运动干预后,试验组女生体脂率、腰围、SBP、DBP、FPG、胰岛素、HOMA-IR均低于对照组,而Laps、MAS、VO_(2max)高于对照组(P<0.05);与干预前比较,12周运动干预后试验组女生体脂率、腰围、SBP、DBP、FPG、胰岛素、HOMA-IR均降低,而Laps、MAS、VO_(2max)升高(P<0.05)。相关性分析结果显示,肥胖女青少年体脂率、腰围与VO_(2max)呈负相关(r=-0.55,P<0.001;r=-0.41,P<0.001)。结论12周组合运动干预能够改善肥胖女青少年身体成分和心血管风险因素,同时也能够通过增加VO_(2max)来增强心肺适能。

固始鸡A系与矮小贵妃鸡杂交F_(1)代生长性能探究及生长曲线拟合

试验旨在探究固始鸡A系与矮小贵妃鸡杂交后代的生长发育规律,选育出最优杂交组合。试验以固始鸡A系和矮小贵妃鸡进行正反交后代为素材,每周测量体重,90日龄和110日龄分别测量体尺性状并进行相关性分析,使用Logistic、Gompertz和Von-Bertalanffy三种模型拟合其生长曲线。结果显示,前4周,AG公母鸡与GA公母鸡的生长速度差异不大,4周龄以后,生长速度出现差异分化,GA公鸡的拐点周龄为8周,AG公鸡的拐点周龄为7.2周。GA母鸡的拐点周龄为7.9周,AG母鸡的拐点周龄为6.7周。90日龄时,GA母鸡的体重、体斜长、胫长、胸深优于AG母鸡,110日龄时,GA公鸡的体斜长优于AG公鸡,与AG群体相比,GA群体体尺性状较为优良。GA群体体重与体斜长和骨盆宽存在显著相关(P<0.05)。Gompertz模型对AG公鸡与GA母鸡这两个群体拟合效果更佳,Logistic曲线对AG母鸡和GA公鸡这两个群体拟合效果更佳。综上所述,矮小贵妃鸡♂×固始鸡A系♀为最优杂交组合。