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Efficacy of scleral buckling for the treatment of rhegmatogenous retinal detachment using a novel foldable capsular buckle
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作者 Fang-Fang Fan Chang Xiao +5 位作者 Liang Wang Xin-Ting Wang Dan-Dan Liu Xing Ge Ya-Lu Liu Su-Yan Li 《International Journal of Ophthalmology(English edition)》 SCIE CAS 2024年第3期558-563,共6页
●AIM:To evaluate the effectiveness and safety of scleral buckling for the treatment of rhegmatogenous retinal detachment(RRD)using a novel foldable capsular buckle(FCB).●METHODS:This was a series of case observation... ●AIM:To evaluate the effectiveness and safety of scleral buckling for the treatment of rhegmatogenous retinal detachment(RRD)using a novel foldable capsular buckle(FCB).●METHODS:This was a series of case observation studies.Eighteen patients(18 eyes)who visited our ophthalmology department between August 2020 and August 2022 and were treated for RRD with scleral buckling using FCB were included.The procedure was similar to conventional scleral buckling,while a balloon-like FCB was placed onto the retinal break with balanced salt solution filling for a broad,external indentation instead of the silicone buckle.The retinal reattachment rate,best corrected visual acuity(BCVA),intraocular pressure(IOP),refractive dioptre and astigmatism degree,and complications were evaluated and recorded.●RESULTS:There were 7 males and 11 females aged 19-58y.The average time course of RRD was 12d,ranging from 7-20d.The retinal break was located in the superior quadrants in 8 eyes and in the inferior quadrants in 10 eyes,with macula-off detachments in 12 eyes.The patients were followed-up for at least 6mo.The final retinal reattachment rate was 100%.The BCVA was significantly improved compared with the baseline(P<0.05).There was no significant change in refractive dioptre or astigmatism degree at each follow-up(all P>0.05).Three patients had transiently high IOPs within one week after surgery.Mild diplopia occurred in 5 patients after surgery and then disappeared after the balloon fluid was removed.●CONCLUSION:The success rate of FCB scleral buckling for RRD is satisfactory.This procedure can be expected to be applied in new,uncomplicated cases of RRD. 展开更多
关键词 rhegmatogenous retinal detachment scleral buckling foldable capsular buckle
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Non-linear buffeting response analysis of long-span suspension bridges with central buckle 被引量:11
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作者 Wang Hao1,2,Li Aiqun1,Zhao Gengwen1 and Li Jian2 1.College of Civil Engineering,Southeast University,Nanjing 210096,China 2.Civil and Environmental Engineering,University of Illinois at Urbana-Champaign,Urbana,IL 61801,USA 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2010年第2期259-270,共12页
The rigid central buckle employed in the Runyang Suspension Bridge (RSB) was the first time it was used in a suspension bridge in China. By using a spectral representation method and FFT technique combined with measur... The rigid central buckle employed in the Runyang Suspension Bridge (RSB) was the first time it was used in a suspension bridge in China. By using a spectral representation method and FFT technique combined with measured data,a 3D fluctuating wind field considering the tower wind effect is simulated. A novel FE model for buffeting analysis is then presented,in which a specific user-defined Matrix27 element in ANSYS is employed to simulate the aeroelastic forces and its stiffness or damping matrices are parameterized by wind velocity and vibration frequency. A nonlinear time history analysis is carried out to study the influence of the rigid central buckle on the wind-induced buffeting response of a long-span suspension bridge. The results can be used as a reference for wind resistance design of long-span suspension bridges with a rigid central buckle in the future. 展开更多
关键词 suspension bridge buffeting response central buckle nonlinear time history analysis ANSYS
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Analytical modeling for rapid design of bistable buckled beams 被引量:2
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作者 Wenzhong Yan Yunchen Yu Ankur Mehta 《Theoretical & Applied Mechanics Letters》 CAS CSCD 2019年第4期264-272,I0003,共10页
Double-clamped bistable buckled beams demonstrate great versatility in various fields such as robotics,energy harvesting,and microelectromechanical system(MEMS).However,their design often requires time-consuming and e... Double-clamped bistable buckled beams demonstrate great versatility in various fields such as robotics,energy harvesting,and microelectromechanical system(MEMS).However,their design often requires time-consuming and expensive computations.In this work,we present a method to easily and rapidly design bistable buckled beams subjected to a transverse point force.Based on the Euler–Bernoulli beam theory,we establish a theoretical model of bistable buckled beams to characterize their snapthrough properties.This model is verified against the results from a finite element analysis(FEA)model,with maximum discrepancy less than 7%.By analyzing and simplifying our theoretical model,we derive explicit analytical expressions for critical behavioral values on the force-displacement curve of the beam.These behavioral values include critical force,critical displacement,and travel,which are generally sufficient for characterizing the snapthrough properties of a bistable buckled beam.Based on these analytical formulas,we investigate the influence of a bistable buckled beam's key design parameters,including its actuation position and precompression,on its critical behavioral values,with our results validated by FEA simulations.Our analytical method enables fast and computationally inexpensive design of bistable buckled beams and can guide the design of complicated systems that incorporate bistable mechanisms. 展开更多
关键词 BISTABLE buckled beam THEORETICAL model SNAP-THROUGH characteristics Off-center ACTUATION Analytical expression Rapid design
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Influence of central buckle on suspension bridge dynamic characteristics and driving comfort 被引量:3
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作者 王达 邓扬 刘扬 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第8期3108-3115,共8页
The central buckle, which is often used in a suspension bridge, can improve bridges' performance in the actual operation condition. The influence of the central buckle on natural vibration characteristics and brid... The central buckle, which is often used in a suspension bridge, can improve bridges' performance in the actual operation condition. The influence of the central buckle on natural vibration characteristics and bridge-deck driving comfort of a long-span suspension bridge is studied by using a case study of Siduhe Suspension Bridge in China. Based on the finite element software ANSYS and independently complied program, the influence of the central buckle on the structure force-applied characteristics of a long-span suspension bridge has been explored. The results show that the huge increases of natural frequencies can result in the presence of central buckles because of the increases of bending and torsional rigidities. The central buckle basically makes the stiffening girders and cables within the triangular area covered as a relatively approximate rigid area. Hence, the central buckle can reduce the torsional displacement of the main girder. However, the increases of bending and torsional rigidities have little influence on the impact factor, which is obtained by using vehicle-bridge coupled vibration analysis. This means that the central buckle has little effect on the comfort indices. In addition, it is found that the central buckle can enhance the bridge deck's driving stability due to the decrease of the torsional displacements of the main girder. 展开更多
关键词 suspension bridge central buckle dynamic characteristic separation method impact factor
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Influence of rigid central buckle on seismic response of long-span suspension bridges 被引量:2
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作者 王浩 Li Aiqun Jiao Changke Zou Keguan 《High Technology Letters》 EI CAS 2011年第2期214-219,共6页
A rigid central buckle is employed in Runyang Suspension Bridge (RSB) to replace commonly used short suspenders in the main span. Based on the seismic waves with 2% probabilities of exceedance, the nonlinear seismic... A rigid central buckle is employed in Runyang Suspension Bridge (RSB) to replace commonly used short suspenders in the main span. Based on the seismic waves with 2% probabilities of exceedance, the nonlinear seismic response time-domain analysis are then conducted and influence of central buckles on seismic response of long-span suspension bridge is specially studied. Analysis resuits show that the central buckle can effectively control the longitudinal floating vibration mode of the deck, and therefore reduce earthquake-excited longitudinal displacement at the end of the deck. However, the central buckle may cause increment of longitudinal displacement at the top of main tower and bending moment at the bottom of the main tower, which should be paid special attention to. Results provide references for anti-earthquake analysis and design of long-span suspension bridges using rigid central buckles. 展开更多
关键词 suspension bridge central buckle seismic response time-history analysis ANSYS
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Electronic,Elastic and Piezoelectric Properties of Two-Dimensional Group-Ⅳ Buckled Monolayers 被引量:1
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作者 石鲸 高勇 +1 位作者 王晓莉 云斯宁 《Chinese Physics Letters》 SCIE CAS CSCD 2017年第8期129-132,共4页
Electronic, elastic and piezoelectric properties of two-dimensional (2D) group-IV buckled monolayers (GeSi, SnSi and SnGe) are studied by first principle calculations. According to our calculations, SnSi and SnGe ... Electronic, elastic and piezoelectric properties of two-dimensional (2D) group-IV buckled monolayers (GeSi, SnSi and SnGe) are studied by first principle calculations. According to our calculations, SnSi and SnGe are good 2D piezoelectric materials with large piezoelectric coefficients. The values of d11d11 of SnSi and SnGe are 5.04pm/V and 5.42pm/V, respectively, which are much larger than 2D MoS2 (3.6pm/V) and are comparable with some frequently used bulk materials (e.g., wurtzite AlN 5.1pm/V). Charge transfer is calculated by the L wdin analysis and we find that the piezoelectric coefficients (d11d11 and d31) are highly dependent on the polarizabilities of the anions and cations in group-IV monolayers. 展开更多
关键词 PBE buckled Monolayers Electronic Elastic and Piezoelectric Properties of Two-Dimensional Group IV
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Nonlinear Contact Between Pipeline's Outer Wall and Slip-on Buckle Arrestor's Inner Wall During Buckling Process
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作者 MA Weilin LIU Jiande +2 位作者 DONG Sheng ZHANG Xin MA Xiaozhou 《Journal of Ocean University of China》 SCIE CAS CSCD 2017年第1期42-48,共7页
In order to theoretically study the buckle propagation of subsea pipelines with slip-on buckle arrestors, a two-dimensional ring model was set up to represent the pipeline and a nonlinear spring model was adopted to s... In order to theoretically study the buckle propagation of subsea pipelines with slip-on buckle arrestors, a two-dimensional ring model was set up to represent the pipeline and a nonlinear spring model was adopted to simulate the contact between pipeline's inner walls and between pipeline's outer wall and slip-on buckle arrestor's inner wall during buckle propagation. In addition, some reverse springs are added to prevent the wall of left and right sides separating from the inner wall of slip-on buckle arrestors. Considering large deformation kinematics relations and the elastic-plastic constitutive relation of material, balance equations were established with the principle of virtual work. The variation of external pressure with respect to the cross-sectional area of pipelines was analyzed, and the lower bound of the crossover pressure of slip-on buckle arrestors was calculated based on Maxwell's energy balance method. By comparing the theoretical results with experiment and finite element numerical simulation, the theoretical method is proved to be correct and reliable. 展开更多
关键词 subsea PIPELINE buckle propagation NONLINEAR CONTACT slip-on buckle arrestor crossover pressure
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Analysis of Stability and Large Deflection Buckle of Rolled Strip by Third Power B-Spline Function Method
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作者 Bian Yuhong 《Journal of Iron and Steel Research International》 SCIE EI CAS CSCD 1997年第2期24-28,共5页
A new method——the third power B-spline function method is developed to analyse the stability and the buckle of rolled strip under residual stress.The large deflection theory of thin plate is used to calculate the bu... A new method——the third power B-spline function method is developed to analyse the stability and the buckle of rolled strip under residual stress.The large deflection theory of thin plate is used to calculate the buckle of rolled strip and criterion of critical buckle is given.The computed results tally with those of experiment well,which provides theoretical basis and method for developing the mathematical model of flatness control. 展开更多
关键词 flatness control large deflection buckle critical buckle third power B-spline function
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DYNAMIC ANALYSIS OF ARREST OF BUCKLE PROPAGATION ON A BEAM ON A NONLINEAR ELASTIC FOUNDATION BY FEM
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作者 Zou, SZ Huang, YY +1 位作者 Liu, ZH Qian, Q 《Acta Mechanica Solida Sinica》 SCIE EI 1997年第1期28-30,32-35,共7页
Based on the dynamic governing equation of propagating buckle on a beam on a nonlinear elastic foundation, this paper deals with an important problem of buckle arrest by combining the FEM with a time integration techn... Based on the dynamic governing equation of propagating buckle on a beam on a nonlinear elastic foundation, this paper deals with an important problem of buckle arrest by combining the FEM with a time integration technique. A new conclusion completely different from that by the quasi-static analysis about the buckle arrestor design is drawn. This shows that the inertia of the beam cannot be ignored in the analysis under consideration, especially when the buckle propagation is suddenly stopped by the arrestors. 展开更多
关键词 buckle propagation arrest of buckle beam on a nonlinear foundation finite element method
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THE BUCKLED STATES OF ANNULAR SANDWICH PLATES
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作者 何录武 程昌钧 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1992年第7期623-628,共6页
In this paper, the axisymmetric buckled states of an annular sandwich plate ( Reissner-type sandwich plate) with the clamped inner edge which is subjected to a uniform radial compressive thrust at the clamped outer ed... In this paper, the axisymmetric buckled states of an annular sandwich plate ( Reissner-type sandwich plate) with the clamped inner edge which is subjected to a uniform radial compressive thrust at the clamped outer edge are studied. Firstly, the basic equation of the buckled problem is derived. Secondly, the critical loads for some parameters are obtained by using the shooting method. Finally, we discuss the existence of the buckled slates in the vicinity of the critical loads and obtain the asymptotic expansions of the buckled states. 展开更多
关键词 sandwich plate shooting method critical load buckled state
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Dynamic Analysis and Numerical Simulation of a Kind of Arrestor Arresting Buckle Propagation by FEM
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作者 Huang, YY Qian, Q Jin, T 《China Ocean Engineering》 SCIE EI 1998年第3期323-332,共10页
For exact estimation of efficiency of a buckle arrestor, it is necessary to take the effect of structural inertia into account in the analysis of buckle propagation on elastic structures after meeting arrestors. Under... For exact estimation of efficiency of a buckle arrestor, it is necessary to take the effect of structural inertia into account in the analysis of buckle propagation on elastic structures after meeting arrestors. Under this consideration, this paper deals with the dynamics of buckle arrest and its numerical simulation on the basis of the beam system model used by Chater and Hutchinson (1983). The FEM combined with an improving are-length control method is adopted to solve the dynamic equations describing the arresting of buckle propagation. A new group of parameters for arrestor design which differs greatly from that by the quasi-static analysis is obtained. The present results support the conclusion that the inertia of the beam cannot be neglected in such analysis. 展开更多
关键词 buckle propagation arrestor BEAM nonlinear foundation finite element method
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A METHOD OF DETERMINING BUCKLED STATES OF THIN PLATES AT A DOUBLE EIGENVALUE
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作者 何录武 程昌钧 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1992年第4期325-329,共5页
A method of determining bifurcation directions at a double eigenvalue is presented by combining the finite element method with the perturbation method. By using the present method, the buckled states of rectangular pl... A method of determining bifurcation directions at a double eigenvalue is presented by combining the finite element method with the perturbation method. By using the present method, the buckled states of rectangular plates at a double eigenvalue are numerically analyzed. The results show that this method is effective. 展开更多
关键词 double eigenvalue bifurcation directions FEM perturbation method buckling of rectangular plates
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Dirac states from p_(x,y)orbitals in the buckled honeycomb structures:A tight-binding model and first-principles combined study
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作者 Shi-Ru Song Ji-Hui Yang +2 位作者 Shi-Xuan Du Hong-Jun Gao Boris I Yakobson 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第8期460-465,共6页
Dirac states composed of Px,y orbitals have been reported in many two-dimensional (2D) systems with honeycomb lattices recently. Their potential importance has aroused strong interest in a comprehensive understandin... Dirac states composed of Px,y orbitals have been reported in many two-dimensional (2D) systems with honeycomb lattices recently. Their potential importance has aroused strong interest in a comprehensive understanding of such states. Here, we construct a four-band tight-binding model for the Px,y-orbital Dirac states considering both the nearest neighbor hopping interactions and the lattice-buckling effect. We find that Px,y-orbital Dirac states are accompanied with two addi- tional narrow bands that are flat in the limit of vanishing n bonding, which is in agreement with previous studies. Most importantly, we analytically obtain the linear dispersion relationship between energy and momentum vector near the Dirac cone. We find that the Fermi velocity is determined not only by the hopping through n bonding but also by the hopping through ~ bonding of Px,y orbitals, which is in contrast to the case of pz-orbital Dirac states. Consequently, Px,y-orbital Dirac states offer more flexible engineering, with the Fermi velocity being more sensitive to the changes of lattice constants and buckling angles, if strain is exerted. We further validate our tight-binding scheme by direct first-principles calcula- tions of model-materials including hydrogenated monolayer Bi and Sb honeycomb lattices. Our work provides a more in-depth understanding of Px,y-orbital Dirac states in honeycomb lattices, which is useful for the applications of this family of materials in nanoelectronics. 展开更多
关键词 TIGHT-BINDING density functional theory px y-orbitals buckled honeycomb structures
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THE EXISTENCE OF BUCKLED STATES ON A PERFORATED THIN PLATE
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作者 程昌钧 杨骁 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1992年第8期725-736,共12页
On the bafis of the generalized von K(?)rm(?)n theory for perforated thin plates established in [1,2], the existence of buckled states for perforated plates subjected to self-equilibrating inplane forces along each ed... On the bafis of the generalized von K(?)rm(?)n theory for perforated thin plates established in [1,2], the existence of buckled states for perforated plates subjected to self-equilibrating inplane forces along each edge systematically is investigated. This work completely generalizes the results in [3, 4]. 展开更多
关键词 perforated plate multi-connected region modified von Krmn theory buckled state bifurcation theorem
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Subharmonic resonance of a clamped-clamped buckled beam with 1:1 internal resonance under base harmonic excitations
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作者 Junda LI Jianliang HUANG 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2020年第12期1881-1896,共16页
The subharmonic resonance and bifurcations of a clamped-clamped buckled beam under base harmonic excitations are investigated.The nonlinear partial integrodifferential equation of the motion of the buckled beam with b... The subharmonic resonance and bifurcations of a clamped-clamped buckled beam under base harmonic excitations are investigated.The nonlinear partial integrodifferential equation of the motion of the buckled beam with both quadratic and cubic nonlinearities is given by using Hamilton’s principle.A set of second-order nonlinear ordinary differential equations are obtained by spatial discretization with the Galerkin method.A high-dimensional model of the buckled beam is derived,concerning nonlinear coupling.The incremental harmonic balance(IHB)method is used to achieve the periodic solutions of the high-dimensional model of the buckled beam to observe the nonlinear frequency response curve and the nonlinear amplitude response curve,and the Floquet theory is used to analyze the stability of the periodic solutions.Attention is focused on the subharmonic resonance caused by the internal resonance as the excitation frequency near twice of the first natural frequency of the buckled beam with/without the antisymmetric modes being excited.Bifurcations including the saddle-node,Hopf,perioddoubling,and symmetry-breaking bifurcations are observed.Furthermore,quasi-periodic motion is observed by using the fourth-order Runge-Kutta method,which results from the Hopf bifurcation of the response of the buckled beam with the anti-symmetric modes being excited. 展开更多
关键词 nonlinear vibration buckled beam incremental harmonic balance method BIFURCATION subharmonic resonance
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An Investigation of Buckled of Column on Liner Elastic foundation by Using Finite-Difference Mode
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作者 Huan Luo QinghuaYang 《International Journal of Technology Management》 2014年第8期162-163,共2页
The use of columns on elastic foundation is very common in Civil Engineering, like bridge pier, the foundation of the buildings etc. So, it will be useful to find the critical load for the structure, the problem in th... The use of columns on elastic foundation is very common in Civil Engineering, like bridge pier, the foundation of the buildings etc. So, it will be useful to find the critical load for the structure, the problem in this paper will be solved by Finite-Difference Mode, that' s simple and has an extensive use. The way it works is that by dividing the component into many units. Finite-difference methods (FDM) are numerical methods for anoroximating, the solutions to differential eauations usine finite difference equations to approximate derivatives. 展开更多
关键词 Finite-difference methods (FDM) bucklING liner function buckling load
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Endophthalmitis secondary to globe penetration from hydrogel scleral buckle
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作者 Katrina A.Mears Rachel K.Sobel +1 位作者 Erin M.Shriver Elliott H.Sohn 《International Journal of Ophthalmology(English edition)》 SCIE CAS 2014年第3期585-586,共2页
Dear Sir,Iam Dr Katrina A.Mears,from the Department of Ophthalmology and Visual Sciences,University of Iowa Carver College of Medicine,200 Hawkins Drive,Iowa City,Iowa,USA.I wish to present a case of endophthalmitis s... Dear Sir,Iam Dr Katrina A.Mears,from the Department of Ophthalmology and Visual Sciences,University of Iowa Carver College of Medicine,200 Hawkins Drive,Iowa City,Iowa,USA.I wish to present a case of endophthalmitis secondary to globe penetration from a hydrogel scleral buckle which,to the best of our knowledge,is the first reported case 展开更多
关键词 Endophthalmitis secondary to globe penetration from hydrogel scleral buckle FIGURE
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Applied principle of minimum potential energy in analyzing buckle phenomenon of cold rolled strip
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作者 Yang Guanghui Zhang Jie Yan Qintai 《Computer Aided Drafting,Design and Manufacturing》 2016年第3期33-38,共6页
When solving buckling type based on minimum potential energy, it is first to make hypothesis for strip buckling type. Under the simple strain condition, buckling type and strain distribution have a certain similarity,... When solving buckling type based on minimum potential energy, it is first to make hypothesis for strip buckling type. Under the simple strain condition, buckling type and strain distribution have a certain similarity, so the hypothesis is reasonable comparatively. However, under the complicated strain condition, it is difficult to give more reasonable buckling type. Moreover, the existing algorithms usually ignore the effect which the transverse stress and the shear stress have on the buckling type. After assuming strip was only affected by shear stress for the edge wave and affected by both transverse stress and the shear stress for the center wave in the paper, the buckling form of strip under simple strain situation was calculated. It was seen from the calculating result that wave height and half wavelength were smaller than those of the existing algorithms, and the wave height and half wavelength of edge wave were all bigger than those of center wave in the same stress distribution. Secondly, a more reasonable hypothesis method of buckling type for the complicated stress distribution was put forward. After analyzing, the result showed that it was more reasonable by using the optimizing algorithm. 展开更多
关键词 cold rolled strip buckle minimum potential energy
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Buckling Properties of Water-Drop-Shaped Pressure Hulls with Various Shape Indices Under Hydrostatic External Pressure
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作者 DING Xiao-de ZHANG Jian +2 位作者 WANG Fang JIAO Hui-feng WANG Ming-lu 《China Ocean Engineering》 SCIE EI CSCD 2024年第1期1-17,共17页
The water-drop-shaped pressure hull has a good streamline,which has good application prospect in the underwater observatory.Therefore,this study conducted analytical,experimental and numerical investigation of the buc... The water-drop-shaped pressure hull has a good streamline,which has good application prospect in the underwater observatory.Therefore,this study conducted analytical,experimental and numerical investigation of the buckling properties of water-drop-shaped pressure hulls under hydrostatic pressure.A water-drop experiment was conducted to design water-drop-shaped pressure hulls with various shape indices.The critical loads for the water-drop-shaped pressure hulls were resolved by using Mushtari’s formula.Several numerical simulations including linear buckling analysis and nonlinear buckling analysis including eigenmode imperfections were performed.The results indicated that the critical loads resolved by Mushtari's formula were in good agreement with the linear buckling loads from the numerical simulations.This formula can be extended to estimate the buckling capacity of water-drop-shaped pressure hulls.In addition,three groups of pressure hulls were fabricated by using stereolithography,a rapid prototyping technique.Subsequently,three groups of the pressure hulls were subjected to ultrasonic measurements,optical scanning,hydrostatic testing and numerical analysis.The experimental results were consistent with the numerical results.The results indicate that the sharp end of the water-drop-shaped pressure hulls exhibited instability compared with the blunt end.This paper provides a new solution to the limitations of experimental studies on the water-drop-shaped pressure hulls as well as a new configuration and evaluation method for underwater observatories. 展开更多
关键词 bucklING pressure hull water drop underwater observatory
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A non-probabilistic reliability topology optimization method based on aggregation function and matrix multiplication considering buckling response constraints
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作者 Lei WANG Yingge LIU +2 位作者 Juxi HU Weimin CHEN Bing HAN 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2024年第2期321-336,共16页
A non-probabilistic reliability topology optimization method is proposed based on the aggregation function and matrix multiplication.The expression of the geometric stiffness matrix is derived,the finite element linea... A non-probabilistic reliability topology optimization method is proposed based on the aggregation function and matrix multiplication.The expression of the geometric stiffness matrix is derived,the finite element linear buckling analysis is conducted,and the sensitivity solution of the linear buckling factor is achieved.For a specific problem in linear buckling topology optimization,a Heaviside projection function based on the exponential smooth growth is developed to eliminate the gray cells.The aggregation function method is used to consider the high-order eigenvalues,so as to obtain continuous sensitivity information and refined structural design.With cyclic matrix programming,a fast topology optimization method that can be used to efficiently obtain the unit assembly and sensitivity solution is conducted.To maximize the buckling load,under the constraint of the given buckling load,two types of topological optimization columns are constructed.The variable density method is used to achieve the topology optimization solution along with the moving asymptote optimization algorithm.The vertex method and the matching point method are used to carry out an uncertainty propagation analysis,and the non-probability reliability topology optimization method considering buckling responses is developed based on the transformation of non-probability reliability indices based on the characteristic distance.Finally,the differences in the structural topology optimization under different reliability degrees are illustrated by examples. 展开更多
关键词 bucklING topology optimization aggregation function uncertainty propagation analysis non-probabilistic reliability
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