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Thermal-Mechanical Coupled FE Analysis for Rotary Shaft Seals
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作者 Gyorgy Szabó Károly Váradi 《Modern Mechanical Engineering》 2018年第1期95-110,共16页
The aim of this paper is to model the steady-state condition of a rotary shaft seal (RSS) system. For this, an iterative thermal-mechanical algorithm was developed based on incremental finite element analyzes. The beh... The aim of this paper is to model the steady-state condition of a rotary shaft seal (RSS) system. For this, an iterative thermal-mechanical algorithm was developed based on incremental finite element analyzes. The behavior of the seal’s rubber material was taken into account by a large-strain viscoelastic, so called generalized Maxwell model, based on Dynamic Mechanical Thermal Analyses (DMTA) and tensile measurements. The pre-loaded garter spring was modelled with a bilinear material model and the shaft was assumed to be linear elastic. The density, coefficient of thermal expansion and the thermal conductance of the materials were taken into consideration during simulation. The friction between the rotary shaft seal and the shaft was simplified and modelled as a constant parameter. The iterative algorithm was evaluated at two different times, right after assembly and 1 h after assembly, so that rubber material’s stress relaxation effects are also incorporated. The results show good correlation with the literature data, which state that the permissible temperature for NBR70 (nitrile butadiene rubber) material contacting with ~80 mm shaft diameter, rotating at 2600/min is 100°C. The results show 107°C and 104°C for the two iterations. The effect of friction induced temperature, changes the width of the contact area between the seal and the shaft, and significantly reduces the contact pressure. 展开更多
关键词 Coupled fe analysis Thermal-Mechanical Coupling Rotary Shaft Seals NBR Rubber VISCOELASTICITY
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Effect of rock joints on lined rock caverns subjected to high internal gaspressure
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作者 Davi Rodrigues Damasceno Johan Spross Fredrik Johansson 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2023年第7期1625-1635,共11页
The storage of hydrogen gas in lined rock caverns(LRCs)may enable the implementation of the firstlarge-scale fossil-free steelmaking process in Sweden,but filling such storage causes joints in the rockmass to open,con... The storage of hydrogen gas in lined rock caverns(LRCs)may enable the implementation of the firstlarge-scale fossil-free steelmaking process in Sweden,but filling such storage causes joints in the rockmass to open,concentrating strains in the lining.The structural interaction between the LRC componentsmust be able to reduce the strain concentration in the sealing steel lining;however,this interaction iscomplex and difficult to predict with analytical methods.In this paper,the strain concentration in LRCsfrom the opening of rock joints is studied using finite element(FE)analyses,where the large-and small-scale deformation behaviors of the LRC are coupled.The model also includes concrete crack initiation anddevelopment with increasing gas pressure and rock joint width.The interaction between the jointed rockmass and the reinforced concrete,the sliding layer,and the steel lining is demonstrated.The results showthat the rock mass quality and the spacing of the rock joints have the greatest influence on the straindistributions in the steel lining.The largest effect of rock joints on the maximum strains in the steellining was observed for geological conditions of“good”quality rock masses. 展开更多
关键词 Lined rock cavern(LRC) Rock joints Strain concentrations Lining interaction Finite element(fe)analysis High gas pressure
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An Innovative Finite Element Geometric Modeling of Single-Layer Multi-Bead WAAMed Part
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作者 Xiangman Zhou Jingping Qin +5 位作者 Zichuan Fu Min Wang Youlu Yuan Junjian Fu Haiou Zhang Seyed Reza Elmi Hosseini 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第3期2383-2401,共19页
Finite element (FE) coupled thermal-mechanical analysis is widely used to predict the deformation and residualstress of wire arc additive manufacturing (WAAM) parts. In this study, an innovative single-layermulti-bead... Finite element (FE) coupled thermal-mechanical analysis is widely used to predict the deformation and residualstress of wire arc additive manufacturing (WAAM) parts. In this study, an innovative single-layermulti-bead profilegeometric modeling method through the isosceles trapezoid function is proposed to build the FE model of theWAAMprocess. Firstly, a straight-line model for overlapping beads based on the parabola function was establishedto calculate the optimal center distance. Then, the isosceles trapezoid-based profile was employed to replace theparabola profiles of the parabola-based overlapping model to establish an innovative isosceles trapezoid-basedmulti-bead overlapping geometric model. The rationality of the isosceles trapezoid-based overlapping model wasconfirmed by comparing the geometric deviation and the heat dissipation performance index of the two overlappingmodels. In addition, the FE-coupled thermal-mechanical analysis, as well as a comparative experiment of thesingle-layer eight-bead deposition process show that the simulation results of the above two models agree with theexperimental results. At the same time, the proposed isosceles trapezoid-based overlappingmodels are all straightlineprofiles, which can be divided into high-quality FE elements. It can improve the modeling efficiency andshorten the simulation calculation time. The innovative modeling method proposed in this study can provide anefficient and high-precision geometricmodelingmethod forWAAMpart FE coupled thermal-mechanical analysis. 展开更多
关键词 WAAM fe coupled thermal-mechanical analysis the isosceles trapezoid-based model residual stress
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Numerical Simulation of Bone Remodeling Coupling the Damage Repair Process in Human Proximal Femur
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作者 Chuanyong Qu Hui Yuan 《Computer Modeling in Engineering & Sciences》 SCIE EI 2020年第11期829-847,共19页
Microdamage is produced in bone tissue under the long-termeffects of physiological loading,as well as age,disease and other factors.Bone remodeling can repair microdamage,otherwise this damage will undermine bone qual... Microdamage is produced in bone tissue under the long-termeffects of physiological loading,as well as age,disease and other factors.Bone remodeling can repair microdamage,otherwise this damage will undermine bone quality and even lead to fractures.In this paper,the damage variable was introduced into the remodeling algorithm.The new remodeling algorithm contains a quadratic term that can simulate reduction in bone density after large numbers of loading cycles.The model was applied in conjunction with the 3Dfinite elementmethod(FEM)to the remodeling of the proximal femur.The results showed that the initial accumulation of fatigue damage led to an increase in density but when the damage reached a certain level,the bone density decreased rapidly until the femur failed.With the accumulation of damage,bone remodeling was coupled with fatigue damage to maintain the function of bone.When the accumulation of damage reached a certain level,bone remodeling failed to repair the accumulated fatigue damage in time,and continued cyclic loading significantly weakened the loadbearing capacity of the bone.The new mathematical model not only predicts fatigue life,but also helps to further understand the compromise between damage repair and damage accumulation,which is of great significance for the prevention and treatment of clinical bone diseases. 展开更多
关键词 Bone remodeling fatigue damage mathematical equation proximal femur fe analysis
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TRANSFERABILITY OF TOUGHNESS RESULT TO FRACTURE PERFORMANCE EVALUATION OF WELDED JOINTS CONSIDERING STABLE CRACK GROWTH
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作者 Jing Hongyang (College of Material Science and Engineering, Tianjin University) Minami Fumiyoshi (Osaka University, Japan) 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2000年第2期122-125,共5页
The transferability of the toughness results in ductile-brittle transition region for welded cracked specimens is conducted by 3D FE analysis. The fracture toughness Values for the double edge notched tension specimen... The transferability of the toughness results in ductile-brittle transition region for welded cracked specimens is conducted by 3D FE analysis. The fracture toughness Values for the double edge notched tension specimens are predicted effectively from the bend test results based on the local approach considering stable crack growth. It is found that the cell model gives a good description of the stable crack growth behavior, and the local approach is useful for the transferability analysis of fracture toughness results in ductile-brittle transition region. 展开更多
关键词 Flacture toughness Stable crack growth 3D fe analysis
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New approach based on continuum damage mechanics with simple parameter identification to fretting fatigue life prediction 被引量:2
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作者 Fei SHEN Weiping HU Qingchun MENG 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2015年第12期1539-1554,共16页
A new continuum damage mechanics model for fretting fatigue life prediction is established. In this model, the damage evolution rate is described by two kinds of quantities. One is associated with the cyclic stress ch... A new continuum damage mechanics model for fretting fatigue life prediction is established. In this model, the damage evolution rate is described by two kinds of quantities. One is associated with the cyclic stress characteristics obtained by the finite element(FE) analysis, and the other is associated with the material fatigue property identified from the fatigue test data of standard specimens. The wear is modeled by the energy wear law to simulate the contact geometry evolution. A two-dimensional(2D)plane strain FE implementation of the damage mechanics model and the energy wear model is presented in the platform of ABAQUS to simulate the evolutions of the fatigue damage and the wear scar. The effect of the specimen thickness is also investigated.The predicted results of the crack initiation site and the fretting fatigue life agree well with available experimental data. Comparisons are made with the critical plane SmithWatson-Topper(SWT) method. 展开更多
关键词 fretting FATIGUE CONTINUUM DAMAGE MECHANICS WEAR FATIGUE life FINITE element(fe)analysis
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Modeling and analysis of actively Q-switched Fe:ZnSe laser pumped by a 2.8μm fiber laser
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作者 LIANG Xiaolin ZHOU Songqing +1 位作者 LIU Zhizhuang BAO Bengang 《Optoelectronics Letters》 EI 2023年第9期513-518,共6页
A theoretical model concerning active Q-switching of an Fe:ZnSe laser pumped by a continuous-wave(CW)2.8μm fiber laser is developed.Calculations are compared with the recently reported experiment results,and good agr... A theoretical model concerning active Q-switching of an Fe:ZnSe laser pumped by a continuous-wave(CW)2.8μm fiber laser is developed.Calculations are compared with the recently reported experiment results,and good agreement is achieved.Effects of principal parameters,including pump power,output reflectivity,ion concentration and temperature of crystal,on the laser output performance are investigated and analyzed.Numerical results demonstrate that similar to highly efficient CWFe:ZnSe laser,low temperature of the crystal is significant to obtain high peak power Q-switched pulses.The numerical simulation results are useful for optimizing the design of actively Q-switched Fe:ZnSe laser. 展开更多
关键词 Modeling and analysis of actively Q-switched fe:ZnSe laser pumped by a 2.8μm fiber laser
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Characterization of the Flexural Behavior of Bamboo Beams
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作者 Limin Tian Jianpeng Wei +1 位作者 Jiping Hao Qiushuo Wang 《Journal of Renewable Materials》 SCIE EI 2021年第9期1571-1597,共27页
Bamboo is a renewable and environmentally friendly material often used for construction.This study investigates the flexural behavior of bamboo beams through theoretical and finite element(FE)analyses.Considering the ... Bamboo is a renewable and environmentally friendly material often used for construction.This study investigates the flexural behavior of bamboo beams through theoretical and finite element(FE)analyses.Considering the material’s nonlinearity,a method of calculating load-deflection curves is proposed and validated via FE analysis.The interfacial slippage dominated by the shear stiffness of the interface between two bamboo poles significantly influences the flexural behavior of double-pole bamboo beams.Thus,the load-deflection curves for different shear stiffnesses can be obtained via theoretical and FE analyses.Subsequently,a novel configuration using diagonal steel bands to avoid slippage is presented.An inclination angle of 45°is suggested to adequately develop the stiffness and bearing capacity of the steel band. 展开更多
关键词 Bamboo beam flexural behavior interfacial slippage steel band fe analysis
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点蚀损耗对船体梁极限强度的影响
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作者 V.Piscopo A.Scamardella 《Journal of Marine Science and Application》 CSCD 2021年第3期477-490,共14页
The paper focuses on the assessment of the hull girder ultimate strength,combined with random pitting corrosion wastage,by the incremental-iterative method.After a brief review about the state of art,the local ultimat... The paper focuses on the assessment of the hull girder ultimate strength,combined with random pitting corrosion wastage,by the incremental-iterative method.After a brief review about the state of art,the local ultimate strength of pitted platings under uniaxial compression is preliminarily outlined and subsequently a closed-form design formula is endorsed in the Rule incremental-iterative method,to account for pitting corrosion wastage in the hull girder ultimate strength check.The ISSC bulk carrier is assumed as reference ship in a benchmark study,devoted to test the effectiveness of the incremental-iterative method,by a comparative analysis with a set of FE simulations,performed by Ansys Mechanical APDL.Four reference cases,with different locations of pitting corrosion wastage,are investigated focusing on nine combinations of pitting and corrosion intensity degrees.Finally,a comparative analysis between the hull girder ultimate strength,combined with pitting corrosion wastage,and the relevant values,complying with the Rule net scantling approach,is performed.Based on current results,the modified incremental-iterative method allows efficiently assessing the hull girder ultimate strength,combined with pitting corrosion wastage,so revealing useful both in the design process of new vessels and in the structural health monitoring of aged ships. 展开更多
关键词 Hull girder ultimate strength Pitting corrosion wastage Ultimate strength of pitted platings Modified incremental-iterative method Non-linear fe analysis Benchmark study ISSC bulk carrier
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Finite deformation swelling of a temperature-sensitive hydrogel cylinder under combined extension-torsion
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作者 M.SHOJAEIFARD M.BAGHANI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2020年第3期409-424,共16页
The swelling behavior of a temperature-sensitive poly-N-isopropylacrylamide(PNIPAM) hydrogel circular cylinder is studied subjected to combined extension-torsion and varied temperature. In this regard, a semi-analytic... The swelling behavior of a temperature-sensitive poly-N-isopropylacrylamide(PNIPAM) hydrogel circular cylinder is studied subjected to combined extension-torsion and varied temperature. In this regard, a semi-analytical solution is proposed for general combined loading. A finite element(FE) analysis is conducted, subjecting a hydrogel cylinder to the combined extension-torsion and the varied temperature to evaluate the validity and accuracy of the solution. A user-defined UHYPER subroutine is developed and verified under free and constrained swelling conditions. The FE results illustrate excellent agreement with the semi-analytical solution. Due to the complexity of the problem, some compositions and applied loading factors are analyzed. It is revealed that for larger cross-linked density and larger ending temperature, the cylinder yields higher stresses and smaller radial swelling deformation. Besides, the radial and hoop stresses increase by applying larger twist and axial stretch. The hoop stresses intersect at approximately R/Rout = 0.58, where the hoop stress vanishes. Besides, the axial force has direct and inverse relationships with the axial stretch and the twist, respectively. However, the resultant torsional moment behavior is complex, and the position of the maximum point varies significantly by altering the axial stretch and the twist. 展开更多
关键词 extension-torsion of the circular cylinder temperature variation finite element(fe)analysis temperature-sensitive poly-N-isopropylacrylamide(PNIPAM)hydrogel semi-analytical solution
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Finite element analysis of shape-memory polymer mast
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作者 Shuai Liu Qing-Sheng Yang 《International Journal of Smart and Nano Materials》 SCIE EI 2019年第4期285-299,共15页
Space masts are widely used in the aerospace engineering as one type of deployable space structures.In this paper,based on the stimuli-responsive effects of shape-memory polymers(SMPs),an intelligent mast with shape-m... Space masts are widely used in the aerospace engineering as one type of deployable space structures.In this paper,based on the stimuli-responsive effects of shape-memory polymers(SMPs),an intelligent mast with shape-memory function is studied.The thermos-mechanical constitutive model of SMPs is associated with the finite element(FE)software,and then the deployable deformation and shape-memory effect of the intelligent mast are investigated by the FE method.It is demonstrated that the mast can automatically deploy due to the shape recovery characteristics of SMPs.Furthermore,the effects of structure parametric of the mast and temperature are also investigated.The results can contribute to the design and application of novel SMP masts. 展开更多
关键词 Space masts shape-memory polymers fe analysis folding and deployment
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Modelling and Analysis of a Class of Metal–Forming Problems
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作者 T.A.Angelov 《Advances in Applied Mathematics and Mechanics》 SCIE 2010年第6期722-745,共24页
A class of steady-state metal-forming problems,with rigid-plastic,incompressible,strain-rate dependent material model and nonlocal Coulomb’s friction,is considered.Primal,mixed and penalty variational formulations,co... A class of steady-state metal-forming problems,with rigid-plastic,incompressible,strain-rate dependent material model and nonlocal Coulomb’s friction,is considered.Primal,mixed and penalty variational formulations,containing variational inequalities with nonlinear and nondifferentiable terms,are derived and studied.Existence,uniqueness and convergence results are obtained and shortly presented.A priori finite element error estimates are derived and an algorithm,combining the finite element and secant-modulus methods,is utilized to solve an illustrative extrusion problem. 展开更多
关键词 Steady-state metal-forming rigid-plastic material nonlocal friction variational formulations weak solutions secant-modulus method fe analysis
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Effect of blast inside tunnel on surrounding soil mass,tunnel lining,and superstructure for varying shapes of tunnels
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作者 M.D.Goel Shivani Verma +1 位作者 Jagriti Mandal Sandeep Panchal 《Underground Space》 SCIE EI 2021年第6期619-635,共17页
In this study,a finite element(FE)analysis of shallow tunnels exposed to a blast inside the tunnel,with soil as surrounding medium and a structure at ground level,was performed.The ConWep program,developed by the US A... In this study,a finite element(FE)analysis of shallow tunnels exposed to a blast inside the tunnel,with soil as surrounding medium and a structure at ground level,was performed.The ConWep program,developed by the US Army,was used to simulate blast loading using ABAQUS/Explicit■.Drucker-Prager(D-P)plasticity model,concrete damage plasticity(CDP),and Johnson-Cook(J-C)plasticity models were used to define the behavior of the soil,concrete,and reinforcement,respectively.FE analysis was carried out to compare the damages to the superstructure with variation in the cross-sectional shapes of the tunnel under internal blast loading.Three tunnel shapes(circular,rectangular,and horseshoe cross-sections)were considered in the FE analysis.An explosive of 100 kg TNT was located at the center of the cross-section of the tunnel.The response of the tunnel in terms of displacement and stress at critical locations was computed.The results showed that changes in the cross-section of the tunnel affect the stability of the tunnel,even when keeping all other factors constant.It was observed that the intensity of the stresses was the highest for a rectangular tunnel and lowest for a circular tunnel.Furthermore,it was also determined that the tunnel with a rectangular cross-section experienced the maximum displacement in the reinforced concrete(RC)lining compared with the horseshoe and circular tunnels.The displacement measured at critical structural members of the superstructure was found to be the highest for the tunnel with a rectangular cross-section and lowest for the tunnel with a circular cross-section. 展开更多
关键词 Blast loading Numerical simulation ConWep Framed superstructure fe analysis ABAQUS/Explicit■
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Comparison Between Different Finite Element Analyses of Unbonded Flexible Pipe via Different Modeling Patterns
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作者 庞国良 陈超核 +1 位作者 沈义俊 刘夫永 《Journal of Shanghai Jiaotong university(Science)》 EI 2019年第3期357-363,共7页
Three kinds of models based on the same flexible pipe with 8 layers have been separately created to investigate the effects of different modeling approaches on numerical simulation results of finite element(FE)models ... Three kinds of models based on the same flexible pipe with 8 layers have been separately created to investigate the effects of different modeling approaches on numerical simulation results of finite element(FE)models for unbonded flexible pipes.Then the mechanical property of the unbonded flexible pipe under tension,torsion and bending load has been analyzed and compared via ABAQUS software on the basis of three created models.The research shows that different modeling methods of flexible pipes make a great difference in the results.Especially,modeling simplifications of the carcass and pressure armor have a great impact on the accuracy of the results.Model 3,in which the carcass is simulated by spiral isot ropic shell and other layers are Simula ted by solid element,possesses good adaptability,which has been proved by comparing the experiment data and other models.This paper can offer a reference for the FE modeling methods,selection and mechanical property analysis of unbonded flexible pipe. 展开更多
关键词 UNBONDED flexible PIPE numerical simulation methods FINITE element(fe)analysis
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Does friction contribute to formability improvement using servo press?
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作者 Kali PRASAD Aishwary GUPTA +3 位作者 Hariharan KRISHNASWAMY Uday CHAKKINGAL Dilip K.BANERJEE Myoung-Gyu LEE 《Friction》 SCIE EI CAS CSCD 2023年第5期820-835,共16页
Servo press forming machines are advanced forming systems that are capable of imparting interrupted punch motion,resulting in enhanced room temperature formability.The exact mechanism of the formability improvement is... Servo press forming machines are advanced forming systems that are capable of imparting interrupted punch motion,resulting in enhanced room temperature formability.The exact mechanism of the formability improvement is not yet established.The contribution of interrupted motion in the ductility improvement has been studied through stress relaxation phenomena in uniaxial tensile(UT)tests.However,the reason for improved formability observed when employing servo press is complicated due to the additional contribution from frictional effects.In the present work,an attempt is made to decouple the friction effect on formability improvement numerically.The improved formability is studied using a hole expansion test(HET).The limit of forming during hole expansion is modeled using the Hosford–Coulomb(HC)damage criteria,which is implemented as a user subroutine in a commercial explicit finite element(FE)software.Only the contribution of stress relaxation is accounted for in the evolution of the damage variable during interrupted loading.Therefore,the difference between simulation and experimental hole expansion ratio(HER)can be used to decouple the friction effect from the overall formability improvement during hole expansion.The improvement in HER due to stress relaxation and friction effect is different.The study showed that the model effectively captures the hole expansion deformation process in both monotonic and interrupted loading conditions.Compared to stress relaxation,friction effect played a major role during interrupted HET. 展开更多
关键词 servo press hole expansion test(HET) dual phase steel finite element(fe)analysis Hosford-Coulomb(HC)ductile fracture model
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Complete Parasitic Capacitance Model of Photovoltaic Panel Considering the Rain Water 被引量:1
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作者 Shaolin Yu Jianing Wang +1 位作者 Xing Zhang Fei Li 《Chinese Journal of Electrical Engineering》 CSCD 2017年第3期77-84,共8页
Common mode current suppression is important to grid-connected photovoltaic(PV)systems and depends strongly on the value of the parasitic capacitance between the PV panel and the ground.Some parasitic capacitance mode... Common mode current suppression is important to grid-connected photovoltaic(PV)systems and depends strongly on the value of the parasitic capacitance between the PV panel and the ground.Some parasitic capacitance models have been proposed to evaluate the magnitude of the effective parasitic capacitance.However,the proposed model is only for the PV panels under dry and clean environmental conditions.The dependence of rain water on the capacitance is simply described rather than analyzing in detail.Furthermore,the effects of water are addressed quite differently in papers.Thus,this paper gives complete parasitic capacitance model of the PV panel considering the rain water.The effect of the water on the capacitance is systematically investigated through 3D finite element(FE)electromagnetic(EM)simulations and experiments.Accordingly,it is clarified how the water affects the parasitic capacitance and methods of minimization of the capacitance are proposed. 展开更多
关键词 Parasitic capacitance photovoltaic panel WATER 3D fe EM analysis electromagnetic field
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Surrogate models for the prediction of damage in reinforced concrete tunnels under internal water pressure
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作者 Alireza BIGDELI Aydin SHISHEGARAN +3 位作者 Mohammad Ali NAGHSH Behnam KARAMI Arshia SHISHEGARAN Gholamreza ALIZADEH 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2021年第8期632-656,共25页
In the present study,the performance of reinforced concrete tunnel(RCT)under internal water pressure is evaluated by using nonlinear finite element analysis and surrogate models.Several parameters,including the compre... In the present study,the performance of reinforced concrete tunnel(RCT)under internal water pressure is evaluated by using nonlinear finite element analysis and surrogate models.Several parameters,including the compressive and tensile strength of concrete,the size of the longitudinal reinforcement bar,the transverse bar diameter,and the internal water pre ssure,are considered as the input variables.Based on the levels of variables,36 mix designs are selected by the Taguchi method,and 12 mix designs are proposed in this study.Carbon fiber reinforced concrete(CFRC)or glass fiber reinforced concrete(GFRC)is considered for simulating these 12 samples.Principal component regression(PCR),Multi Ln equation regression(MLnER),and gene expression programming(GEP)are employed for predicting the percentage of damaged surfaces(PDS)of the RCT,the effective tensile plastic strain(ETPS),the maximum deflection of the RCT,and the deflection of crown of RCT.The error terms and statistical parameters,including the maximum positive and negative errors,mean absolute percentage error(MAPE),root mean square error(RMSE),coefficient of determination,and normalized square error(NMSE),are utili zed to evaluate the accuracy of the models.Based on the results,GEP performs better than other models in predicting the outputs.The results sh ow that the internal water pressure and the mechanical properties of concrete have the most effect on the damag e and deflection of the RCT. 展开更多
关键词 Gene expression programming(GEP) Taguchi method Finite element(fe)analysis Effective tensile plastic strain(ETPS) DEFLECTION DAMAGE
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