In this paper,a combination solution method based on the analogy of the generalized-α(AG-α)method is proposed to solve linear rigid-flexible coupling structural dynamic problems,which is termed the G-G(ρ1∞,ρ_(...In this paper,a combination solution method based on the analogy of the generalized-α(AG-α)method is proposed to solve linear rigid-flexible coupling structural dynamic problems,which is termed the G-G(ρ1∞,ρ2∞)combination solution method.In the G-G(ρ1∞,ρ2∞)method,the degrees of freedom of the system are divided into two groups.One group with larger stiffness is solved by using the AG-αmethod with parameters determined by the spectral radiusρ1∞corresponding to the infinite frequency.The other,with smaller stiffness,is solved by using the AG-αmethod with parameters determined byρ2∞.Taking two differential equations of second order as test equations,the amplification matrix of the G-G(ρ1∞,ρ2∞)method has two pairs of principal eigenvalues and two spurious eigenvalues.The percentage amplitude decay and period elongation are defined and investigated with the two algorithmic frequencies and two algorithmic damping ratios.In addition,the accuracy order and stability of the combination method are discussed.Numerical examples show that the G-G(ρ1∞,ρ2∞)method can filter out the high-frequency modes and simultaneously keep the low-frequency modes when solving rigid-flexible coupling structural dynamic problems,and its numerical performances are superior to the AG-αmethod.展开更多
The(2+1)-dimensional integrable generalization of the Gardner(2DG)equation is solved via the inverse scattering transform method in this paper.A kind of general solution of the equation is obtained by introducing long...The(2+1)-dimensional integrable generalization of the Gardner(2DG)equation is solved via the inverse scattering transform method in this paper.A kind of general solution of the equation is obtained by introducing long derivatives Vx,Vy,Vt.Two different constraints on the kernel function K are introduced under the reality of the solution u of the 2DG equation.Then,two classes of exact solutions with constant asymptotic values at infinity u|x2+y2→∞→0 are constructed by means of the∂¯-dressing method for the casesσ=1 andσ=i.The rational and multiple pole solutions of the 2DG equation are obtained with the kernel functions of zero-order and higher-order Dirac delta functions,respectively.展开更多
This study presents a novel methodology to obtain an approximate analytical solution for an isotropic homo-geneous elastic medium with displacement and traction boundary conditions.The solution is derived through solv...This study presents a novel methodology to obtain an approximate analytical solution for an isotropic homo-geneous elastic medium with displacement and traction boundary conditions.The solution is derived through solving a specific numerical problem under the scope of the linear finite element method(LFEM),so the method is termed computational method for analytical solutions with finite elements(CMAS-FE).The primary objective of the CMAS-FE is to construct analytical expressions for displacements and reaction forces at nodes,as well as for strains and stresses at elemental quadrature points,all of which are formulated as infinite series solutions of various orders of Poisson’s ratios.Like the conventional LFEM,the CMAS-FE forms global sparse linear equations,but the Young’s modulus and Poisson’s ratio remain variables(or symbols).By employing a direct inverse method to solve these symbolic linear systems,an analytical expression of the displacement field can be constructed.The CMAS-FE is validated via patch and bending tests,which demonstrate convergence with mesh and term refine-ment.Furthermore,the CMAS-FE is applied to obtain the bending stiffness of a beam structure and to estimate an approximate stress intensity factor for a straight crack within a square-shaped plate.展开更多
目的基于属性层次模型(attribute hierarchy model,AHM)和逼近理想值排序(technique for order preference by similarity to an ideal solution,TOPSIS)法评价奥赛利定的临床用药合理性,为临床奥赛利定的合理使用和科学管理提供参考。...目的基于属性层次模型(attribute hierarchy model,AHM)和逼近理想值排序(technique for order preference by similarity to an ideal solution,TOPSIS)法评价奥赛利定的临床用药合理性,为临床奥赛利定的合理使用和科学管理提供参考。方法以富马酸奥赛利定注射液说明书为基础,结合相关指南、专家共识及文献,建立奥赛利定合理用药评价标准。通过AHM法确立各评价指标的相对权重,采用TOPSIS法对2024年10月—2025年9月苏州大学附属第二医院开具的260份含奥赛利定的处方进行回顾性评价,根据相对接近程度(Ci)将评价结果分为用药合理、用药基本合理、用药不合理3个层次。结果奥赛利定合理用药评价标准中评价指标按相对权重排名,位列前3的分别为适应证(权重为0.1635)、用法用量(权重为0.1472)和给药途径(权重为0.1361)。260份处方按奥赛利定合理用药评价标准进行评价,各评价指标不合理率从高到低依次为经济性、合并用药、用法用量、疗效评价、特殊人群、药物不良反应处理和禁忌证;利用加权TOPSIS法评价,用药合理(Ci≥80%)的有55份,占21.15%;用药基本合理(60%≤Ci<80%)的有11份,占4.23%;用药不合理(Ci<60%)的有194份,占74.62%。结论通过AHM-TOPSIS法建立了奥赛利定临床应用的合理性评价标准,该法所得评价结果可量化、科学可信。该药在苏州大学附属第二医院的不合理使用现象较为普遍,临床应用时应加强管理。展开更多
属性关联性对犹豫模糊型多属性决策结果产生影响,如何刻画属性关联性测度并厘清其对决策结果的影响尤为重要。通过引入2-可加Choquet积分并利用2-可加模糊测度刻画属性关联性,探索其对逼近理想解排序法(technique for order preference ...属性关联性对犹豫模糊型多属性决策结果产生影响,如何刻画属性关联性测度并厘清其对决策结果的影响尤为重要。通过引入2-可加Choquet积分并利用2-可加模糊测度刻画属性关联性,探索其对逼近理想解排序法(technique for order preference by similarity to ideal solution,TOPSIS)中正负理想点的影响规律;采用Zhenyuan积分全面刻画多个属性关联情形,设计一种改进的TOPSIS方法。结果显示,属性相互替代时方案与正负理想解距离比属性独立时距离偏小;属性相互互补时偏大;属性关联下方案与正负理想解的距离单调递增。证明了所提方法在刻画犹豫模糊属性关联性以及改进决策结果方面的有效性和准确性。展开更多
The method of characteristics(MoC)is a well-established tool for lattice physics calculations,offering advantages such as accurate representation of both lattice geometry and boundary conditions.The flat source(FS)app...The method of characteristics(MoC)is a well-established tool for lattice physics calculations,offering advantages such as accurate representation of both lattice geometry and boundary conditions.The flat source(FS)approximation is the most commonly used approach,whereas the linear source(LS)approximation enhances the accuracy by preserving the higherorder spatial moments of the neutron source.However,determining the order of accuracy(OoA)for spatial discretization in the MoC is challenging,particularly for the LS approximation.This complexity arises because MoC employs two spatial meshes:the fission source region(FSR)mesh and a set of characteristic rays used to integrate the transport equation over the FSR mesh.In this study,we analyzed the spatial order of accuracy of the MoC in planar geometry for both FS and LS approximations in relation to the distributed source.Our theoretical predictions are consistent with the numerical results obtained using the Method of Manufactured Solutions(MMS).The results demonstrate that the FS approximation achieves second-order accuracy,whereas the LS approximation attains fourth-order accuracy.展开更多
Piezoelectric quasicrystals(PQCs),characterized by unique phonon-phason coupling and piezoelectric effects,exhibit significant potential for use in next-generation smart structural devices.However,their complex electr...Piezoelectric quasicrystals(PQCs),characterized by unique phonon-phason coupling and piezoelectric effects,exhibit significant potential for use in next-generation smart structural devices.However,their complex electrothermomechanical buckling behavior remains a challenging analytical problem.This paper presents a symplectic electrothermomechanical buckling model for two-dimensional(2D)decagonal PQC cylindrical shells.By using the symplectic mathematics and Donnell's thin shell theory,the governing buckling equations for axially compressed PQC cylindrical shells are reformulated into a Hamiltonian system.Consequently,the original buckling problem is transformed into a symplectic eigenproblem that can be solved directly,obviating the necessity of trial functions.By use of the symplectic eigenfunction expansion,analytical symplectic buckling equations are obtained,allowing the critical buckling loads and buckling mode shapes to be solved simultaneously.The results indicate that,in addition to the geometry,voltage,and temperature,the phonon-phason-electric coupling inherent in PQC materials significantly influences the critical buckling loads.These analytical results provide a reliable reference for validating other computational approaches.展开更多
Red-green-blue(RGB)beam combiners are widely used in scenarios such as augmented reality/virtual reality(AR/VR),laser projection,biochemical detection,and other fields.Optical waveguide combiners have attracted extens...Red-green-blue(RGB)beam combiners are widely used in scenarios such as augmented reality/virtual reality(AR/VR),laser projection,biochemical detection,and other fields.Optical waveguide combiners have attracted extensive attention due to their advantages of small size,high multiplexing efficiency,convenient mass production,and low cost.An RGB beam combiner based on directional couplers is designed,with a core-cladding relative refractive index difference of 0.75%.The RGB beam combiner is optimized from the perspective of parameter optimization.Using the beam propagation method(BPM),the relationship between the performance of the RGB beam combiner and individual parameters is studied,achieving preliminary optimization of the device’s performance.The key parameters of the RGB beam combiner are optimized using the entropy weight-technique for order preference by similarity to an ideal solution TOPSIS method,establishing the optimal parameter scheme and further improving the device’s performance indicators.The results show that after optimization,the multiplexing efficiencies for red,green,and blue lights,as well as the average multiplexing efficiency,reached 99.17%,99.76%,96.63%and 98.52%,respectively.The size of the RGB beam combiner is 4.768 mm×0.062 mm.展开更多
为提升建筑工地物料运输自动化水平并推动智慧工地建设,采用分层任务分析法(hierarchical task analysis,HTA)拆解建筑物料运输流程,探寻建筑物料运输机器人行为产生的机制与设计方向,从中提炼设计需求并采用层次分析法(analytic hierar...为提升建筑工地物料运输自动化水平并推动智慧工地建设,采用分层任务分析法(hierarchical task analysis,HTA)拆解建筑物料运输流程,探寻建筑物料运输机器人行为产生的机制与设计方向,从中提炼设计需求并采用层次分析法(analytic hierarchy process,AHP)进行综合权重排序;结合功能-行为-结构(function-behavior-structure,FBS)模型将设计需求映射为可执行的机器行为与具体结构设计单元,完成建筑物料运输机器人及关联场景的系统设计;采用逼近理想解排序法(technique for order preference by similarity to ideal solution,TOPSIS)客观筛选出最优设计方案。结果表明:设计方案有效将机器行为与任务流程对齐,改善了运输机器人的作业效率与环境适应性,为智能化机器产品的场景自适应设计提供思路借鉴与方向。展开更多
In this paper,the new solitary wave solutions of the fractional doubly dispersive equation(FDDE)are investigated.These solutions are used in demonstrating wave transmission in elastic inhomogeneous Murnaghan’s rod.A ...In this paper,the new solitary wave solutions of the fractional doubly dispersive equation(FDDE)are investigated.These solutions are used in demonstrating wave transmission in elastic inhomogeneous Murnaghan’s rod.A very effective method,known as the unified method,is used here to obtain these solutions.In different conditions,the obtained solutions exhibit different pulse patterns including bright,periodic,combined bright-dark,two-soliton interaction,three-soliton interaction,five-soliton interaction,w-shaped,m-shaped,and u-shaped solutions.These physical characteristics are thoroughly investigated by the graphical representation under different values of the parameters which shows the reliability and productivity of the proposed method.In addition,linear stability analysis is applied to analyse the stability of the considered model.The novel aspect of this study is that the investigated model has never been studied by using the proposed method,and the resulting solutions have never been accomplished previously.展开更多
Undoubtedly,noise has become a major hazardous issue in today’s industrial world,with a lot of people suffering from exposure to excessive noise in their work environments.This study was conducted to weigh and priori...Undoubtedly,noise has become a major hazardous issue in today’s industrial world,with a lot of people suffering from exposure to excessive noise in their work environments.This study was conducted to weigh and prioritize noise control methods in an Iranian tire manufacturing complex in Iran.The Delphi method and the Technique for Order Preference by Similarity and an Ideal Solution(TOPSIS)were utilized for this purpose.This cross-sectional,descriptive study was conducted in the baking hall of an Iranian tire manufacturing factory in 2016.To weigh and prioritize noise control methods,Analytic Hierarchy Process(AHP)and TOPSIS were applied.In total,4 criteria and 8 alternatives were examined.An AHP and TOPSIS questionnaire was then designed to prioritize noise control methods in the light of the objectives,criteria,and alternatives.Then,the collected data were fed into Expert Choise.V.11 and Excel and data analysis was carried out using TOPSIS.The results of data analysis indicated that the inconsistency rate in all the cases was smaller than 10%,hence the consistency of the responses was verified.According to the TOPSIS results and experts’opinions about the criteria,implementation and maintenance cost(with a weight of 0.481)and method effectiveness and efficiency(with a weight of 0.046)had the highest and lowest priority respectively.Based on the weights TOPSIS,the appropriate methods for controlling noise in tire manufacturing are designing and manufacturing silencer,requiring people in charge to quickly fix the leaks and change baking press washers on time.展开更多
The paper deals with the following planar Schrödinger-Poisson system{-Δu+λu+φu=f(u), in ℝ2,-Δuφ=u2,in ℝ2,fR2u2dx=a2,u∈H1(ℝ2),where a∈(0,1),λ∈ℝis an undetermined parameter which...The paper deals with the following planar Schrödinger-Poisson system{-Δu+λu+φu=f(u), in ℝ2,-Δuφ=u2,in ℝ2,fR2u2dx=a2,u∈H1(ℝ2),where a∈(0,1),λ∈ℝis an undetermined parameter which appears as a Lagrange multiplier and f satisfies the exponential critical growth.Under suitable conditions on f,we manage to establish such critical points which emerge as a local minimizer or correspond to a mountain pass.Furthermore,by using genus theory,we obtain infinitely many solutions.The proofs are based upon the reduction method by working on a natural constraint,which is introduced by Bartsch and Soave[J Funct Anal,2017,272:4998–5037].Our results complement the results made by Cingolani and Jeanjean[SIAM J Math Anal,2019,51:3533–3568]where handle the Sobolev subcritical case.展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.12302044 and 12172023).
摘要In this paper,a combination solution method based on the analogy of the generalized-α(AG-α)method is proposed to solve linear rigid-flexible coupling structural dynamic problems,which is termed the G-G(ρ1∞,ρ2∞)combination solution method.In the G-G(ρ1∞,ρ2∞)method,the degrees of freedom of the system are divided into two groups.One group with larger stiffness is solved by using the AG-αmethod with parameters determined by the spectral radiusρ1∞corresponding to the infinite frequency.The other,with smaller stiffness,is solved by using the AG-αmethod with parameters determined byρ2∞.Taking two differential equations of second order as test equations,the amplification matrix of the G-G(ρ1∞,ρ2∞)method has two pairs of principal eigenvalues and two spurious eigenvalues.The percentage amplitude decay and period elongation are defined and investigated with the two algorithmic frequencies and two algorithmic damping ratios.In addition,the accuracy order and stability of the combination method are discussed.Numerical examples show that the G-G(ρ1∞,ρ2∞)method can filter out the high-frequency modes and simultaneously keep the low-frequency modes when solving rigid-flexible coupling structural dynamic problems,and its numerical performances are superior to the AG-αmethod.
基金Supported by the National Natural Science Foundation of China(Grant Nos.1237125611971475)。
摘要The(2+1)-dimensional integrable generalization of the Gardner(2DG)equation is solved via the inverse scattering transform method in this paper.A kind of general solution of the equation is obtained by introducing long derivatives Vx,Vy,Vt.Two different constraints on the kernel function K are introduced under the reality of the solution u of the 2DG equation.Then,two classes of exact solutions with constant asymptotic values at infinity u|x2+y2→∞→0 are constructed by means of the∂¯-dressing method for the casesσ=1 andσ=i.The rational and multiple pole solutions of the 2DG equation are obtained with the kernel functions of zero-order and higher-order Dirac delta functions,respectively.
基金supported by the National Natural Science Foundation of China Excellence Research Group Program for“Multiscale Problems in Nonlinear Mechanics”(Grant No.12588201)the National Key R&D Program of China(Grant No.2023YFA1008901)+1 种基金the National Nat-ural Science Foundation of China(Grant No.12172009)supported by“The Fundamental Research Funds for the Central Universities,Peking University”.
摘要This study presents a novel methodology to obtain an approximate analytical solution for an isotropic homo-geneous elastic medium with displacement and traction boundary conditions.The solution is derived through solving a specific numerical problem under the scope of the linear finite element method(LFEM),so the method is termed computational method for analytical solutions with finite elements(CMAS-FE).The primary objective of the CMAS-FE is to construct analytical expressions for displacements and reaction forces at nodes,as well as for strains and stresses at elemental quadrature points,all of which are formulated as infinite series solutions of various orders of Poisson’s ratios.Like the conventional LFEM,the CMAS-FE forms global sparse linear equations,but the Young’s modulus and Poisson’s ratio remain variables(or symbols).By employing a direct inverse method to solve these symbolic linear systems,an analytical expression of the displacement field can be constructed.The CMAS-FE is validated via patch and bending tests,which demonstrate convergence with mesh and term refine-ment.Furthermore,the CMAS-FE is applied to obtain the bending stiffness of a beam structure and to estimate an approximate stress intensity factor for a straight crack within a square-shaped plate.
摘要目的基于属性层次模型(attribute hierarchy model,AHM)和逼近理想值排序(technique for order preference by similarity to an ideal solution,TOPSIS)法评价奥赛利定的临床用药合理性,为临床奥赛利定的合理使用和科学管理提供参考。方法以富马酸奥赛利定注射液说明书为基础,结合相关指南、专家共识及文献,建立奥赛利定合理用药评价标准。通过AHM法确立各评价指标的相对权重,采用TOPSIS法对2024年10月—2025年9月苏州大学附属第二医院开具的260份含奥赛利定的处方进行回顾性评价,根据相对接近程度(Ci)将评价结果分为用药合理、用药基本合理、用药不合理3个层次。结果奥赛利定合理用药评价标准中评价指标按相对权重排名,位列前3的分别为适应证(权重为0.1635)、用法用量(权重为0.1472)和给药途径(权重为0.1361)。260份处方按奥赛利定合理用药评价标准进行评价,各评价指标不合理率从高到低依次为经济性、合并用药、用法用量、疗效评价、特殊人群、药物不良反应处理和禁忌证;利用加权TOPSIS法评价,用药合理(Ci≥80%)的有55份,占21.15%;用药基本合理(60%≤Ci<80%)的有11份,占4.23%;用药不合理(Ci<60%)的有194份,占74.62%。结论通过AHM-TOPSIS法建立了奥赛利定临床应用的合理性评价标准,该法所得评价结果可量化、科学可信。该药在苏州大学附属第二医院的不合理使用现象较为普遍,临床应用时应加强管理。
摘要属性关联性对犹豫模糊型多属性决策结果产生影响,如何刻画属性关联性测度并厘清其对决策结果的影响尤为重要。通过引入2-可加Choquet积分并利用2-可加模糊测度刻画属性关联性,探索其对逼近理想解排序法(technique for order preference by similarity to ideal solution,TOPSIS)中正负理想点的影响规律;采用Zhenyuan积分全面刻画多个属性关联情形,设计一种改进的TOPSIS方法。结果显示,属性相互替代时方案与正负理想解距离比属性独立时距离偏小;属性相互互补时偏大;属性关联下方案与正负理想解的距离单调递增。证明了所提方法在刻画犹豫模糊属性关联性以及改进决策结果方面的有效性和准确性。
基金supported by the Stable Support Plan Program under Shenzhen Natural Science Fund(No.20220811012323001)the LingChuang Research Project of China National Nuclear Corporation(No.CNNC-LCKY-202266)+6 种基金the Shenzhen Key Laboratory of Nuclear and Radiation Safety of Shenzhen Science and Technology Innovation Commission(No.ZDSYS20230626091501002)the Pengcheng Peacock Plan Distinguished Talent project(No.827-000712)the Shenzhen Science and Technology Innovation Commission Key Technical Project(Nos.JSGG20220831110607013 and KJZD20231023100200001)the Foundation for Distinguished Young Talents in Higher Education of Guangdong(No.2023KQNCX065)the Teaching Reform Research Programs under Shenzhen University Contract(Nos.JG000066010107,JG000033090185,and JG2022072)the Teaching Reform Research Program under Guangdong Provincial Department of Education Contract(No.JG2024085)supported by the Consortium for Advanced Simulation of Light Water Reactors(http://gffzz228af71adddf4e8esu5kknquc0p6k6oqb.ffgz.tsg.suse.edu.cn/),an Energy Innovation Hub(http://gffzzda0388b0bb3b4345hu5kknquc0p6k6oqb.ffgz.tsg.suse.edu.cn/hubs)for Modeling and Simulation of Nuclear Reactors,under the U.S.Department of Energy Contract(No.DE-AC05-00OR22725)。
摘要The method of characteristics(MoC)is a well-established tool for lattice physics calculations,offering advantages such as accurate representation of both lattice geometry and boundary conditions.The flat source(FS)approximation is the most commonly used approach,whereas the linear source(LS)approximation enhances the accuracy by preserving the higherorder spatial moments of the neutron source.However,determining the order of accuracy(OoA)for spatial discretization in the MoC is challenging,particularly for the LS approximation.This complexity arises because MoC employs two spatial meshes:the fission source region(FSR)mesh and a set of characteristic rays used to integrate the transport equation over the FSR mesh.In this study,we analyzed the spatial order of accuracy of the MoC in planar geometry for both FS and LS approximations in relation to the distributed source.Our theoretical predictions are consistent with the numerical results obtained using the Method of Manufactured Solutions(MMS).The results demonstrate that the FS approximation achieves second-order accuracy,whereas the LS approximation attains fourth-order accuracy.
基金supported by the National Natural Science Foundation of China(Nos.12572101 and 12502105)the Fundamental Research Funds for Undergraduate Universities of Liaoning Province of China(Nos.LJ212510152007,LJBKY2024033,and LJBKY2025008)the Science and Technology Plan Joint Program of Liaoning Province of China(the Natural Science Foundation-Doctoral Research Launch Project)(No.2024-BSLH-027).
摘要Piezoelectric quasicrystals(PQCs),characterized by unique phonon-phason coupling and piezoelectric effects,exhibit significant potential for use in next-generation smart structural devices.However,their complex electrothermomechanical buckling behavior remains a challenging analytical problem.This paper presents a symplectic electrothermomechanical buckling model for two-dimensional(2D)decagonal PQC cylindrical shells.By using the symplectic mathematics and Donnell's thin shell theory,the governing buckling equations for axially compressed PQC cylindrical shells are reformulated into a Hamiltonian system.Consequently,the original buckling problem is transformed into a symplectic eigenproblem that can be solved directly,obviating the necessity of trial functions.By use of the symplectic eigenfunction expansion,analytical symplectic buckling equations are obtained,allowing the critical buckling loads and buckling mode shapes to be solved simultaneously.The results indicate that,in addition to the geometry,voltage,and temperature,the phonon-phason-electric coupling inherent in PQC materials significantly influences the critical buckling loads.These analytical results provide a reliable reference for validating other computational approaches.
基金Project(52175445)supported by the National Natural Science Foundation of ChinaProject(2022JJ30743)supported by the Natural Science Foundation of Hunan Province,China+1 种基金Project(2023GK2024)supported by the Key Research and Development Program of Hunan Province,ChinaProject(2023ZZTS0391)supported by the Fundamental Research Funds for the Central Universities of China。
摘要Red-green-blue(RGB)beam combiners are widely used in scenarios such as augmented reality/virtual reality(AR/VR),laser projection,biochemical detection,and other fields.Optical waveguide combiners have attracted extensive attention due to their advantages of small size,high multiplexing efficiency,convenient mass production,and low cost.An RGB beam combiner based on directional couplers is designed,with a core-cladding relative refractive index difference of 0.75%.The RGB beam combiner is optimized from the perspective of parameter optimization.Using the beam propagation method(BPM),the relationship between the performance of the RGB beam combiner and individual parameters is studied,achieving preliminary optimization of the device’s performance.The key parameters of the RGB beam combiner are optimized using the entropy weight-technique for order preference by similarity to an ideal solution TOPSIS method,establishing the optimal parameter scheme and further improving the device’s performance indicators.The results show that after optimization,the multiplexing efficiencies for red,green,and blue lights,as well as the average multiplexing efficiency,reached 99.17%,99.76%,96.63%and 98.52%,respectively.The size of the RGB beam combiner is 4.768 mm×0.062 mm.
摘要为提升建筑工地物料运输自动化水平并推动智慧工地建设,采用分层任务分析法(hierarchical task analysis,HTA)拆解建筑物料运输流程,探寻建筑物料运输机器人行为产生的机制与设计方向,从中提炼设计需求并采用层次分析法(analytic hierarchy process,AHP)进行综合权重排序;结合功能-行为-结构(function-behavior-structure,FBS)模型将设计需求映射为可执行的机器行为与具体结构设计单元,完成建筑物料运输机器人及关联场景的系统设计;采用逼近理想解排序法(technique for order preference by similarity to ideal solution,TOPSIS)客观筛选出最优设计方案。结果表明:设计方案有效将机器行为与任务流程对齐,改善了运输机器人的作业效率与环境适应性,为智能化机器产品的场景自适应设计提供思路借鉴与方向。
摘要In this paper,the new solitary wave solutions of the fractional doubly dispersive equation(FDDE)are investigated.These solutions are used in demonstrating wave transmission in elastic inhomogeneous Murnaghan’s rod.A very effective method,known as the unified method,is used here to obtain these solutions.In different conditions,the obtained solutions exhibit different pulse patterns including bright,periodic,combined bright-dark,two-soliton interaction,three-soliton interaction,five-soliton interaction,w-shaped,m-shaped,and u-shaped solutions.These physical characteristics are thoroughly investigated by the graphical representation under different values of the parameters which shows the reliability and productivity of the proposed method.In addition,linear stability analysis is applied to analyse the stability of the considered model.The novel aspect of this study is that the investigated model has never been studied by using the proposed method,and the resulting solutions have never been accomplished previously.
基金This study was approved by the Ethics Committee of Kerman University of Medical Sciences.Ethics code(IR.KMU.REC.1397.392).
摘要Undoubtedly,noise has become a major hazardous issue in today’s industrial world,with a lot of people suffering from exposure to excessive noise in their work environments.This study was conducted to weigh and prioritize noise control methods in an Iranian tire manufacturing complex in Iran.The Delphi method and the Technique for Order Preference by Similarity and an Ideal Solution(TOPSIS)were utilized for this purpose.This cross-sectional,descriptive study was conducted in the baking hall of an Iranian tire manufacturing factory in 2016.To weigh and prioritize noise control methods,Analytic Hierarchy Process(AHP)and TOPSIS were applied.In total,4 criteria and 8 alternatives were examined.An AHP and TOPSIS questionnaire was then designed to prioritize noise control methods in the light of the objectives,criteria,and alternatives.Then,the collected data were fed into Expert Choise.V.11 and Excel and data analysis was carried out using TOPSIS.The results of data analysis indicated that the inconsistency rate in all the cases was smaller than 10%,hence the consistency of the responses was verified.According to the TOPSIS results and experts’opinions about the criteria,implementation and maintenance cost(with a weight of 0.481)and method effectiveness and efficiency(with a weight of 0.046)had the highest and lowest priority respectively.Based on the weights TOPSIS,the appropriate methods for controlling noise in tire manufacturing are designing and manufacturing silencer,requiring people in charge to quickly fix the leaks and change baking press washers on time.
摘要The paper deals with the following planar Schrödinger-Poisson system{-Δu+λu+φu=f(u), in ℝ2,-Δuφ=u2,in ℝ2,fR2u2dx=a2,u∈H1(ℝ2),where a∈(0,1),λ∈ℝis an undetermined parameter which appears as a Lagrange multiplier and f satisfies the exponential critical growth.Under suitable conditions on f,we manage to establish such critical points which emerge as a local minimizer or correspond to a mountain pass.Furthermore,by using genus theory,we obtain infinitely many solutions.The proofs are based upon the reduction method by working on a natural constraint,which is introduced by Bartsch and Soave[J Funct Anal,2017,272:4998–5037].Our results complement the results made by Cingolani and Jeanjean[SIAM J Math Anal,2019,51:3533–3568]where handle the Sobolev subcritical case.