An effective hybrid optimization method is proposed by integrating an adaptive Kriging(A-Kriging)into an improved partial swarm optimization algorithm(IPSO)to give a so-called A-Kriging-IPSO for maximizing the bucklin...An effective hybrid optimization method is proposed by integrating an adaptive Kriging(A-Kriging)into an improved partial swarm optimization algorithm(IPSO)to give a so-called A-Kriging-IPSO for maximizing the buckling load of laminated composite plates(LCPs)under uniaxial and biaxial compressions.In this method,a novel iterative adaptive Kriging model,which is structured using two training sample sets as active and adaptive points,is utilized to directly predict the buckling load of the LCPs and to improve the efficiency of the optimization process.The active points are selected from the initial data set while the adaptive points are generated using the radial random-based convex samples.The cell-based smoothed discrete shear gap method(CS-DSG3)is employed to analyze the buckling behavior of the LCPs to provide the response of adaptive and input data sets.The buckling load of the LCPs is maximized by utilizing the IPSO algorithm.To demonstrate the efficiency and accuracy of the proposed methodology,the LCPs with different layers(2,3,4,and 10 layers),boundary conditions,aspect ratios and load patterns(biaxial and uniaxial loads)are investigated.The results obtained by proposed method are in good agreement with the literature results,but with less computational burden.By applying adaptive radial Kriging model,the accurate optimal resultsebased predictions of the buckling load are obtained for the studied LCPs.展开更多
In this paper,the nonlinear conjugate map based on the conjugate Rackwitz-Fiessler and Hasofer-Lind(CHL-RF)method is used to evaluate the reliability using first order reliability method of the embedded nanocomposite ...In this paper,the nonlinear conjugate map based on the conjugate Rackwitz-Fiessler and Hasofer-Lind(CHL-RF)method is used to evaluate the reliability using first order reliability method of the embedded nanocomposite beam,which is made from polymer reinforced with carbon nanotubs(CNTs).The structure is simulated with Timoshenko beam model.The Mori-Tanaka method is applied for obtaining the effective properties of nanocomposite beam.The surrounding elastic medium is considered by spring and shear constants.Utilising energy method and Hamilton's principal,the governing equations are obtained.Using an analytical method,the buckling performance function of structure is obtained.The influences of the basic random variables including the length to thickness ratio of beam(L/h),spring constant and shear constant of foundation with respect to the volume fraction of CNTs are investigated on the reliability index of the nanocomposite beam subjected to axial force of 20 GPa.The results indicated that the failure probabilities of the studied the nanocomposite beam are the sensitive to the length to thickness of beam(L/h)and spring constant of foundation variables.展开更多
In this paper, the nonlinear conjugate map based on the conjugate Rackwitz-Fiessler and Hasofer-Lind (CHL-RF) method is used to evaluate the reliability using first order reliability method of the embedded nanocomposi...In this paper, the nonlinear conjugate map based on the conjugate Rackwitz-Fiessler and Hasofer-Lind (CHL-RF) method is used to evaluate the reliability using first order reliability method of the embedded nanocomposite beam, which is made from polymer reinforced with carbon nanotubs (CNTs). The structure is simulated with Timoshenko beam model. The Mori-Tanaka method is applied for obtaining the effective properties of nanocomposite beam. The surrounding elastic medium is considered by spring and shear constants. Utilising energy method and Hamilton's principal, the governing equations are obtained. Using an analytical method, the buckling performance function of structure is obtained. The influences of the basic random variables including the length to thickness ratio of beam (L/h), spring constant and shear constant of foundation with respect to the volume fraction of CNTs are investigated on the reliability index of the nanocomposite beam subjected to axial force of 20 GPa. The results indicated that the failure probabilities of the studied the nanocomposite beam are the sensitive to the length to thickness of beam (L/h) and spring constant of foundation variables.展开更多
基金Vietnam National Foundation for Science and Technology Development(NAFOSTED)under Grant number 107.02-2019.330.
文摘An effective hybrid optimization method is proposed by integrating an adaptive Kriging(A-Kriging)into an improved partial swarm optimization algorithm(IPSO)to give a so-called A-Kriging-IPSO for maximizing the buckling load of laminated composite plates(LCPs)under uniaxial and biaxial compressions.In this method,a novel iterative adaptive Kriging model,which is structured using two training sample sets as active and adaptive points,is utilized to directly predict the buckling load of the LCPs and to improve the efficiency of the optimization process.The active points are selected from the initial data set while the adaptive points are generated using the radial random-based convex samples.The cell-based smoothed discrete shear gap method(CS-DSG3)is employed to analyze the buckling behavior of the LCPs to provide the response of adaptive and input data sets.The buckling load of the LCPs is maximized by utilizing the IPSO algorithm.To demonstrate the efficiency and accuracy of the proposed methodology,the LCPs with different layers(2,3,4,and 10 layers),boundary conditions,aspect ratios and load patterns(biaxial and uniaxial loads)are investigated.The results obtained by proposed method are in good agreement with the literature results,but with less computational burden.By applying adaptive radial Kriging model,the accurate optimal resultsebased predictions of the buckling load are obtained for the studied LCPs.
文摘In this paper,the nonlinear conjugate map based on the conjugate Rackwitz-Fiessler and Hasofer-Lind(CHL-RF)method is used to evaluate the reliability using first order reliability method of the embedded nanocomposite beam,which is made from polymer reinforced with carbon nanotubs(CNTs).The structure is simulated with Timoshenko beam model.The Mori-Tanaka method is applied for obtaining the effective properties of nanocomposite beam.The surrounding elastic medium is considered by spring and shear constants.Utilising energy method and Hamilton's principal,the governing equations are obtained.Using an analytical method,the buckling performance function of structure is obtained.The influences of the basic random variables including the length to thickness ratio of beam(L/h),spring constant and shear constant of foundation with respect to the volume fraction of CNTs are investigated on the reliability index of the nanocomposite beam subjected to axial force of 20 GPa.The results indicated that the failure probabilities of the studied the nanocomposite beam are the sensitive to the length to thickness of beam(L/h)and spring constant of foundation variables.
文摘In this paper, the nonlinear conjugate map based on the conjugate Rackwitz-Fiessler and Hasofer-Lind (CHL-RF) method is used to evaluate the reliability using first order reliability method of the embedded nanocomposite beam, which is made from polymer reinforced with carbon nanotubs (CNTs). The structure is simulated with Timoshenko beam model. The Mori-Tanaka method is applied for obtaining the effective properties of nanocomposite beam. The surrounding elastic medium is considered by spring and shear constants. Utilising energy method and Hamilton's principal, the governing equations are obtained. Using an analytical method, the buckling performance function of structure is obtained. The influences of the basic random variables including the length to thickness ratio of beam (L/h), spring constant and shear constant of foundation with respect to the volume fraction of CNTs are investigated on the reliability index of the nanocomposite beam subjected to axial force of 20 GPa. The results indicated that the failure probabilities of the studied the nanocomposite beam are the sensitive to the length to thickness of beam (L/h) and spring constant of foundation variables.
