Static and free vibration analyses of functionally graded porous variable-thickness plates using an edge-based smoothed finite element method

The main purpose of this paper is to present numerical results of static bending and free vibration of functionally graded porous(FGP) variable-thickness plates by using an edge-based smoothed finite element method(ES-FEM) associate with the mixed interpolation of tensorial components technique for the three-node triangular element(MITC3), so-called ES-MITC3. This ES-MITC3 element is performed to eliminate the shear locking problem and to enhance the accuracy of the existing MITC3 element. In the ES-MITC3 element, the stiffness matrices are obtained by using the strain smoothing technique over the smoothing domains formed by two adjacent MITC3 triangular elements sharing an edge. Materials of the plate are FGP with a power-law index(k) and maximum porosity distributions(U) in the forms of cosine functions. The influences of some geometric parameters, material properties on static bending, and natural frequency of the FGP variable-thickness plates are examined in detail.

Static Stretching Combined with Conscious Slower Breathing May Increase Parasympathetic Activity and Reduce Stress in Adult Women

Background: Women are thought to be more susceptible to stress than men in a stressful society, and reducing stress is crucial for women to maintain their health. Static stretching (SST) is applied in various fields to not only increase muscle flexibility but also reduce stress. Additionally, conscious slower breathing (CSB) predominates parasympathetic activity, causing a relaxing effect. These results indicate that combining SST and CSB may be more useful in reducing stress. However, to the best of our knowledge, the effect of this combination remains unclear. Objective: This study aimed to elucidate the effects of the combination of SST and CSB on autonomic activity and stress in adult women. Methods: Eleven healthy Japanese adult female participants performed SST with nonconscious natural breathing for 20 min. The same participants performed SST in combination with CSB (2 s inspiratory and 4 s expiratory) for 20 min on another day. Salivary cortisol and chromogranin A levels were measured before and after stretching as stress markers of the hypothalamic-pituitary-adrenal axis and sympathetic nervous system. The coefficient of variation of the R-R interval (CVR-R) and high-frequency component (HF), which reflect parasympathetic nerve activity, and heart rate and low-frequency component (LF)/HF ratio, which reflect sympathetic nerve activity, were measured before, during, and after stretching. Results: SST decreased cortisol levels but with no significant changes in chromogranin A, heart rate, CVR-R, HF, or LF/HF ratio. The combination of SST and CSB increased CVR-R and HF levels in addition to decreasing cortisol levels but with no significant changes in chromogranin A, heart rate, or LF/HF levels. Conclusion: These results indicate that the combination of SST and CSB may increase parasympathetic activity and reduce stress. However, future randomized controlled trials with larger sample sizes should support this conclusion.

Effect of Manufacturing Errors on Static Characteristics of Externally Pressurized Spherical Air Bearings

Externally pressurized spherical air bearings are the key component of the three-axis air bearing table, and the manufacturing errors of the bearing affects the performance of the air bearing table. However, the manufacturing errors are unavoidable, and the pursuit to enhance the manufacturing accuracy will increase the cost greatly. In order to provide some theoretical guideline for the tolerance choice in the design of the externally pressurized spherical air bearings with inherent compensation, the effects of several manufacturing errors on the static characteristics of the air bearing are studied. Due to the complex geometry of the computational domain, an unstructured meshing technology is used for mesh generation. A finite-volume method is adopted to discretize the three-dimensional steady-state compressible Navier-Stokes equations. A modified SIMPLE algorithm which is suitable for compressible flows is applied to solve the discretized governing equations. The effects of the dimension error and the roundness error of the ball head and the ball socket on the static characteristics are investigated. The investigation result shows that the positive dimension error and the oblate spheroid-type roundness error of the ball head as well as the negative dimension error and the prolate spheroid-type roundness error of the ball socket can improve the bearing capacity and static stiffness of the air bearings by reducing the mass flow. The calculation method proposed in this paper fits well for the general principle, which can be extended to the characteristics analysis of other air bearings.

Acute effects of static stretching on peak and end-range hamstring-to-quadriceps functional ratios

AIM: To evaluate if static stretching influences peak and end-range functional hamstring-to-quadriceps(H/Q) strength ratios in elite women athletes. METHODS: Eleven healthy female athletes in an elite competitive level participated to the study. All the participants fulfilled the static stretching or non-stretching(control) intervention protocol in a randomized design on different days. Two static unassisted stretching exercises, one in standing and one in sitting position, were used to stretch both the hamstring and quadriceps muscles during these protocols. The total time for the static stretching was 6 ± 1 min. The isokinetic peak torque measurements for the hamstring and quadriceps muscles in eccentric and concentric modes and the calculations for the functional H/Q strength ratios at angular velocities of 60°/s and 180°/s were made before(pre) and after(post) the control or stretching intervention. The strength measurements and functional strength ratio calculations were based during the entire- and end-range of knee extension.RESULTS: The pre-test scores for quadriceps and hamstring peak torque and end range values were not significantly different between the groups(P > 0.05). Subsequently, although the control group did notexhibit significant changes in quadriceps and hamstring muscle strength(P > 0.05), static stretching decreased eccentric and concentric quadriceps muscle strength at both the 60°/s and 180°/s test speeds(P < 0.01). Similarly, static stretching also decreased eccentric and concentric hamstring muscle strength at both the 60°/s and 180°/s test speeds(P < 0.01). On the other hand, when the functional H/Q strength ratios were taken into consideration, the pre-intervention values were not significant different between the groups both during the entire and end range of knee extension(P > 0.05). Furthermore, the functional H/Q strength ratios exhibited no significant alterations during the entire and end ranges of knee extension both in the static stretching or the control intervention(P > 0.05). CONCLUSION: According to our results, static stretching routine does not influence functional H/Q ratio. Athletes can confidently perform static stretching during their warm-up routines.

Effects of Total Intravenous Anesthesia and Static Aspiration Combined General Anesthesia on Postoperative Cognitive Function and Psychological State of Elderly Patients with Esophageal Cancer

Objective: To compare the effects of total intravenous anesthesia and static aspiration combined general anesthesia on postoperative cognitive function and psychological state of elderly esophageal cancer patients. Methods: From July 2020 to April 2021, 180 elderly patients who underwent radical esophageal cancer surgery in our hospital were randomly divided into 90 cases in the control group and 90 in the observation group. The control group used static aspiration compound general anesthesia, and the patients in the observation group used intravenous anesthesia to compare the cognitive function and psychological state of the two groups of patients. Results: There was no statistical difference in the cognitive function score of patients in the observation group 30 minutes before anesthesia, 1 h and 24 hours after anesthesia compared with that in the control group, P > 0.05;there was no statistical difference between the Hamilton Anxiety Scale (HAMA) scores 30 minutes before and 24 hours after anesthesia in the observation group compared with the control group, P > 0.05;the cognitive function score of patients in the observation group of 4 h after surgery and 12 h after operation was significantly higher than that of the control group;the HAMA scores of patients in the observation group of 1 h, 4 h and 12 h after surgery were significantly lower than that of the control group, P Conclusion: The application of total intravenous anesthesia in elderly patients with esophageal cancer surgery can reduce the impact of anesthesia on their cognitive function and psychological state, which is worth popularizing and applying in clinical practice.

Saturated sodium chloride solution under an external static electric field: A molecular dynamics study

The behavior of saturated aqueous Na Cl solutions under a constant external electric field（E） was studied by molecular dynamics（MD） simulation. Our dynamic MD simulations indicated that the irreversible nucleation process towards crystallization is accelerated by a moderate E but retarded or even prohibited under a stronger E, which can be understood by the competition between self-diffusion and drift motion. The former increases with E, thereby accelerating the nucleation process, whereas the latter pulls oppositely charged ions apart under a stronger E, thereby decelerating nucleation.Additionally, our steady-state MD simulations indicated that a first-order phase transition occurs in saturated solutions at a certain threshold Ec. The magnitude of Ec increases with concentration because larger clusters form more easily when the solution is more concentrated and require a stronger E to dissociate.

Static response of functionally graded multilayered two-dimensional quasicrystal plates with mixed boundary conditions

The unusual properties of quasicrystals(QCs)have attracted tremendous attention from researchers.In this paper,a semi-analytical solution is presented for the static response of a functionally graded(FG)multilayered two-dimensional(2 D)decagonal QC rectangular plate with mixed boundary conditions.Based on the elastic theory of FG 2 D QCs,the state-space method is used to derive the state equations composed of partial differential along the thickness direction.Besides,the Fourier series expansion and the differential quadrature technique are utilized to simulate the simply supported boundary conditions and the mixed boundary conditions,respectively.Then,the propagator matrix which connects the field variables at the upper interface to those at the lower interface of any homogeneous layer can be derived based on the state equations.Combined with the interface continuity condition,the static response can be obtained by imposing the sinusoidal load on the top surfaces of laminates.Finally,the numerical examples are presented to verify the effectiveness of this method,and the results are very useful for the design and understanding of the characterization of FG QC materials in their applications to multilayered systems.

PARALLEL ADAPTIVELY MODIFIED CHARACTERISTIC BASIS FUNCTION METHOD BASED ON STATIC LOAD BALANCE

Characteristic Basis Function Method (CBFM) is a novel approach for analyzing the ElectroMagnetic (EM) scattering from electrically large objects. Based on dividing the studied object into small blocks, the CBFM is suitable for parallel computing. In this paper, a static load balance parallel method is presented by combining Message Passing Interface (MPI) with Adaptively Modified CBFM (AMCBFM). In this method, the object geometry is partitioned into distinct blocks, and the serial number of blocks is sent to related nodes according to a certain rule. Every node only needs to calculate the information on local blocks. The obtained results confirm the accuracy and efficiency of the proposed method in speeding up solving large electrical scale problems.

视觉对人体姿势控制影响的脑功能网络连接机制

目的研究视觉对人体姿势控制影响及其脑功能网络连接机制。方法以15名健康青年为研究对象,要求受试者分别进行30 s睁眼、闭眼的双腿站立平衡,采集平衡过程中身体压力中心(center of pressure,COP)和脑电。对COP进行样本熵(SampleEn)计算;对脑电θ、α和β频段,计算相位滞后指数(phase lag index,PLI)构建大脑功能网络,并基于图论计算集聚系数(C)、特征路径长度(L)及小世界网络属性(σ)。结果人体在双腿站立平衡过程中,闭眼COPY样本熵显著高于睁眼(P<0.05)。闭眼α频段PLI平均值显著高于睁眼(P<0.05);闭眼α频段C、σ显著高于睁眼,L显著低于睁眼(P<0.05)。闭眼时α频段额区-中央区-顶区之间的网络连接以及中央区和顶区内连接强度显著高于睁眼(P<0.05)。闭眼时α频段PLI平均值以及C值与COPY样本熵中度呈中度负相关(P<0.05)。睁眼时左前额区、左顶区、左枕区α频段PLI平均值与COPY样本熵呈中度负相关;闭眼时左中央区、右枕区α频段PLI平均值则与COPY样本熵呈中度负相关。结论人体在站立平衡时,当没有视觉信息输入时,身体平衡稳定性下降,同时伴随着脑电α频段的脑网络连接增强以及大脑处理信息的效率需提升。人体在不同的视觉条件下进行姿势控制时,大脑会采用不同的神经策略。

轴径向静态偏心故障下外转子永磁发电机电磁转矩特性分析

对外转子永磁发电机轴径向静态偏心故障下的电磁转矩特性进行了理论解析、仿真计算和实验验证。首先,在考虑齿槽效应影响条件下,引入磁导修正系数ε(θ),推导出轴径向静态偏心前后气隙磁密表达式,并考虑绕组分布情况,构建一种新型的永磁发电机轴径向静态偏心故障下相电流数学模型,在此基础上得到轴径向偏心下电磁转矩解析表达式。其次,通过有限元仿真计算得到外转子永磁发电机轴径向静态偏心下的电磁转矩波动特性。最后,在一台外转子永磁发电机上通过故障模拟实验实例印证了解析分析和仿真计算结果。结果表明:相较于正常情况,径向偏心时,电磁转矩以直流、二倍频、四倍频成分为主,随着偏心程度的加剧,电磁转矩的直流、二倍频、四倍频成分幅值将随着增大;轴向偏心时,电磁转矩谐波成分不变,随着偏心程度的加剧,各谐波成分幅值将随着减小。对外转子永磁发电机气隙偏心故障分析的一个重要补充,对此类问题的现场检测和鉴定具有参考价值。

京津冀科技创新投入对产业结构高级化的影响

京津冀科技创新对于推动京津冀地区产业结构高级化提供了有力支撑。通过明确京津冀科技创新投入对产业结构高级化影响的被解释变量、解释变量和控制变量,确定京津冀科技创新投入对产业结构高级化影响的指标。构建京津冀科技创新投入对产业结构高级化影响的静态回归模型和动态回归模型,利用2009—2020年面板数据,深入开展京津冀地区科技创新投入对产业结构高级化影响的对比研究。结果表明:京津冀整体的科技创新投入对其产业结构高级化的影响显著,科技创新投入增加能显著促进产业结构高级化;京津冀科技创新投入对产业结构高级化的影响程度存在显著的空间差异,经济发展水平显著影响地区科技创新投入对产业结构高级化的促进力度;考虑控制变量,区域对外开放水平显著抑制地区产业结构高级化,人力资本水平与政府支持力度对地区产业结构高级化影响存在显著空间差异。根据研究结果,提出京津冀科技创新推动产业结构高级化的对策建议。

高斯函数拟合的地磁日变规律分析及改正

地磁数据的采集精度直接影响着地磁匹配定位的准确度,地磁日变改正是获取高精度地磁数据的重要前提.在远海以及一些远离台站有效范围的偏远区域设立日变站相对困难,而且保证日变站持续稳定的工作对日变站的设立提出了更高要求.日变改正步骤复杂而繁琐,大多通过多台站联合改正或监测相应时刻日变站的变化实现,对于区域地磁数据采集过程的日变改正研究相对较少.针对这些问题,文章顾及地磁静日变化存在一定周期性的特点,基于高斯拟合函数对单点位多个太阳日下的地磁场变化规律进行分析,并对区域多点的地磁场数据进行日变拟合及改正分析.试验结果表明:在一定区域范围内高斯函数拟合得到的点位磁场的静日变化能够满足地磁日变改正精度,拟合误差在几个nT以内,中误差也不超过10 nT;区域点位实验中,将高斯函数拟合获得的日变改正值与常规方法获得的日变改正值进行对比,其中82.3%的点位日变改正值的差值在±5 nT以内.因此,基于高斯函数拟合的地磁日变改正分析能够根据观测时间获得相应区域的日变改正估值,实现日变改正,获得高精度地磁数据,为地磁匹配定位提供了基础.

基于混合算法的飞机部件装配静态调度方法研究

飞机部件装配生产工艺流程复杂、生产周期长,如何制定高效的生产调度计划是急需解决的问题。分析了飞机部件装配的工艺流程,建立了飞机部件装配调度的约束条件,包括装配工序的先后约束和装配工装占用的约束,建立了飞机部件装配调度的目标函数,包括最小化拖期惩罚和最小化最大完工周期,对飞机部件装配调度问题进行了合理的假设和抽象,并建立了飞机部件装配调度模型。针对飞机部件装配静态调度问题,将粒子群算法和变邻域搜索算法进行了有效结合,设计了粒子群-变邻域搜索混合算法,并采用实例验证了该算法的有效性。

变区段煤柱工作面诱冲机理及防治技术研究

针对某矿变区段煤柱工作面开采冲击危险性较高的问题,运用数值模拟方法对工作面采掘过程中煤柱区域垂直应力分布规律进行研究,分析了不同宽度区段煤柱应力积聚特征,揭示了变区段煤柱工作面诱冲机理,并制定了“近场-远场”协同卸压方案。研究结果表明,较宽的区段煤柱(30 m和55 m)受采空区侧向支承压力和超前支承压力影响,煤柱应力集中程度较高;受“近场高静载+远场动载”叠加影响,变区段煤柱工作面回采期间易诱发冲击地压;采取近场高承压煤体强卸压+远场高位坚硬顶板超前预裂断顶卸压协同控制方案后,微震能量事件始终维持在104J以下,表明控制方案能够有效降低工作面采掘期间的冲击危险性。

背压扰动平衡盘对涡旋压缩机黏性内流压力影响研究

在变转速工况下,电动涡旋压缩机背压腔中润滑油产生的背压力无法准确平衡轴向气体力。针对这一问题,提出了一种带有扰动片的背压扰动平衡盘,研究了背压扰动平衡盘对涡旋压缩机黏性内流压力的影响。首先,对背压扰动平衡盘作用原理进行了分析,使用贝塞尔曲线构建了扰动片型线,对润滑油被扰动后的静压增量进行了公式推导,计算了扰动片出口安装角和扰动片数对润滑油静压的影响;然后,建立了含背压扰动平衡盘的背压腔模型,将流体域分为旋转域和静止域,采用旋转坐标系的方法进行了数值模拟,研究了背压腔内润滑油的压力场;最后,根据理论计算,模拟了润滑油在不同出口安装角和扰动片数下的润滑油静压,对润滑油静压与压缩机所需最佳背压进行了对比分析。研究结果表明:采用背压扰动平衡盘可以使润滑油静压增加21%,且静压增量随主轴转速的增加而增大,适当增大扰动片出口安装角可使润滑油静压增加0.032 MPa;对比最佳背压可知,扰动前润滑油静压与最佳背压相差26%,而合理设计扰动片后的润滑油静压与最佳背压相差仅为9%,极大改善了电动涡旋压缩机在变转速下的轴向平衡。

基于静态凝聚法的蜂窝芯轴向变胞元非均匀排布优化

为了有效改善蜂窝结构的强度与刚度,提出利用静态凝聚法实现变胞元的几何参数和非均匀排布同时优化的方法。根据卡氏定理,推导胞元的等效弹性模量和泊松比;沿轴向均匀划分蜂窝芯为若干列子结构,利用有限元法得到子结构的刚度矩阵;采用静态凝聚法建立超单元刚度矩阵,依据超单元节点编号装配获得蜂窝芯的整体刚度矩阵;计算蜂窝芯在剪切载荷作用下的结构变形,并与ANSYS结果比较分析。以子结构的个数以及胞元的夹角、夹板宽与斜壁长之比为设计变量,胞元的等效弹性模量最大和蜂窝芯的变形最小为设计目标,利用改进的粒子群算法进行优化并研究蜂窝芯优化前后的静、动态特性变化规律。结果表明:变胞元非均匀排布优化后,最大的位移、应力、应变均明显减小,且激励频率等于第二阶固有频率时振动最为强烈。研究结论可为蜂窝结构变胞元排布的优化设计提供指导。

基于模型预测静态规划的高速多体船减纵摇控制

为解决在海浪扰动下高速多体船的垂向稳定性变差问题,提出一种基于模型预测静态规划的减纵摇控制方法。考虑高速多体船模型不确定性、海浪噪声不符合高斯白噪声分布特点,根据噪声信息和误差信息设计平滑变结构滤波器,在线估计多体船的升沉速度、纵摇角速度,并将其引入到减摇控制中。在此基础上,基于模型预测静态规划提出多体船的减摇控制,采用终端偏差修正的求解方式,迭代更新控制输入,降低计算复杂度。最后,仿真实验表明了所提方法能有效抑制过大的升沉和纵摇运动幅度,以及减摇控制计算负荷小的优越性。

基于似然函数筛选法的旋转轴唇形密封可靠性关键设计因素研究

基于油封的有限元和数值计算模型,分析油封的设计参数对其静态和动态密封可靠性的影响规律。将油封的初始安装过盈量、油侧唇角、空气侧唇角、腰厚、腰长、理论接触宽度、卡紧弹簧的弹性模量、油封主体橡胶的硬度8个设计参数的标准化数据作为输入向量,将油封唇口最大接触压力、泵吸率和摩擦扭矩的标准化数据作为输出向量,建立响应面模型,以输出向量方差得到各设计因素的似然函数值作为评判指标,确定各设计参数对油封密封可靠性的影响程度。结果表明:橡胶硬度、理论接触宽度、弹簧弹性模量、过盈量、腰长对油封动态密封可靠性的影响较显著,油封唇口最大接触压力对弹簧弹性模量、理论接触宽度、橡胶硬度、腰厚、油侧唇角较敏感。综合考虑旋转轴唇形油封的静态和动态可靠性,得到影响其可靠性的关键设计因素为理论接触宽度、弹簧弹性模量和橡胶硬度。

预应力混凝土拱板屋架检测鉴定与加固

预应力混凝土拱板屋架结构在我国粮食仓储领域扮演着举足轻重的角色,作为主要的粮仓顶部结构形式,对其检测鉴定进行研究具有重要的实际指导意义。从我国研究现状来看,大多数研究都聚焦于施工工艺和施工设计,在检测鉴定及加固技术方面的探讨相对较少。选取罗山国家粮食储备库的预应力混凝土拱板屋架作为研究对象,从工程检测、承载力验算、数值模拟及加固设计等多个环节开展研究,最后,针对不符合承载力要求的下弦板,提出体外预应力加固的设计方案。这一系列研究成果不仅对预应力拱板的检测鉴定提供科学可靠的理论基础及参数化模型,也为同类工程的加固设计提供新的借鉴。

川黔地区濒危植物红豆树种群结构与数量动态特征

红豆树(Ormosia hosiei)是我国南方特有珍稀濒危植物,具有极高的经济价值和人文价值。为了解红豆树种群在川黔山区的生存现状及制约种群发展的原因,该文以川黔4个区域红豆树自然种群为调查对象,采用典型样地调查的方法,根据不同种群的分布特征,每个种群分别设置2个面积为20 m×20 m的具有代表性的样地进行调查,通过编制种群静态生命表、绘制存活曲线、计算数量动态指数、利用生存函数及时间序列模型分析了川黔山区不同红豆树种群的结构与动态特征。结果表明:(1)河株村和干耳盘村种群龄级结构呈倒“J”型结构,陈家湾村和绒春村种群呈不规则“哑铃”型结构,红豆树种群自然更新能力强,但中龄级个体容易缺失。(2)4个种群均为增长型,存活曲线接近于Deevey-Ⅱ型,其中河株村、陈家湾村和绒春村种群消失率和死亡率呈“多峰型”,种群在生长中期容易受到外界干扰。(3)红豆树种群数量动态变化表现为幼龄级个体死亡率高,成熟龄级个体数量动态稳定的特点,其形成原因与山区地形特点和红豆树种子传播特性有关。(4)RDA排序结果显示,海拔和坡度是影响幼龄个体数量结构的主导因子,干扰强度是影响种群中高龄个体数量结构的主要因素。综上表明,川黔山区红豆树天然种群结构与数量特征的形成受制于山区地形特点、红豆树自身繁殖特性以及环境压力;通过对种群幼龄个体密度控制和中龄个体生长空间进行管理,可以提高种群幼苗存活率,促进中龄个体健壮生长,维持红豆树天然种群稳定性。