For the improved two-sided projected quasi-Newton algorithms, which were presented in PartI, we prove in this paper that they are locally one-step or two-step superlinearly convergent. Numerical tests are reported the...For the improved two-sided projected quasi-Newton algorithms, which were presented in PartI, we prove in this paper that they are locally one-step or two-step superlinearly convergent. Numerical tests are reported thereafter. Results by solving a set of typical problems selectedfrom literature have demonstrated the extreme importance of these modifications in making Nocedal& Overton's original methon practical. Furthermore, these results show that the improved algoritnmsare very competitive in comparison with some highly praised sequential quadratic programmingmethods.展开更多
A test of deep seismic reflection profiling across the central uplift or metamorphic belt of the Qiangtang (羌塘) terrane, Tibet plateau, provides a first image of the crustal structure. Complex reflection patterns ...A test of deep seismic reflection profiling across the central uplift or metamorphic belt of the Qiangtang (羌塘) terrane, Tibet plateau, provides a first image of the crustal structure. Complex reflection patterns in the upper crust are interpreted as a series of folds and thrusts, and bivergent reflections in the lower crust may represent a convergence between the Indian and the Eurasian plates.展开更多
The main objective of this work is to check the compatibility of Finite element method(FEM)to determine the modal parameters of the rotor system and to compare the results with analytical method.Current work is an att...The main objective of this work is to check the compatibility of Finite element method(FEM)to determine the modal parameters of the rotor system and to compare the results with analytical method.Current work is an attempt to implement different finite element(FE)models for the estimation of modal parameters.Two different order elements from Beam,Axisymmetric and Solid FE models are considered.The analysis is carried out on the rotor system and the accuracy of the results and the computation time of the FE models are estimated.The FE results are compared with the analytical method.It is observed that FE model can be used to simulate even at higher order frequencies,which is a limitation of analytical model.The analysis shows that the FE results closely match with analytical method and also the study summarizes that proper choosing of FE helps in developing rotor models in both a desirable accuracy and efficiency.Finally,a Campbell diagram is generated using the analytical method and FEM.The critical speeds are also calculated from the Campbell diagram.The closeness of the results between the two methods is checked.展开更多
基金This research was supported in part by the National Natural Science Foundation of china
文摘For the improved two-sided projected quasi-Newton algorithms, which were presented in PartI, we prove in this paper that they are locally one-step or two-step superlinearly convergent. Numerical tests are reported thereafter. Results by solving a set of typical problems selectedfrom literature have demonstrated the extreme importance of these modifications in making Nocedal& Overton's original methon practical. Furthermore, these results show that the improved algoritnmsare very competitive in comparison with some highly praised sequential quadratic programmingmethods.
基金supported by the National Natural Science Foundation of China (Nos. 40830316, 40874045 and 40704016)the Ministry of Science and Technology of China (Nos. SinoProbe-02, 2006DFA21340)+1 种基金the Ministry of Land and Resources of China (Nos. 2004-06, 200811021)the Open Fund of Key Laboratory of Geo-detection of China Uni-versity of Geosciences (Beijing) (No. GDL0603)
文摘A test of deep seismic reflection profiling across the central uplift or metamorphic belt of the Qiangtang (羌塘) terrane, Tibet plateau, provides a first image of the crustal structure. Complex reflection patterns in the upper crust are interpreted as a series of folds and thrusts, and bivergent reflections in the lower crust may represent a convergence between the Indian and the Eurasian plates.
文摘The main objective of this work is to check the compatibility of Finite element method(FEM)to determine the modal parameters of the rotor system and to compare the results with analytical method.Current work is an attempt to implement different finite element(FE)models for the estimation of modal parameters.Two different order elements from Beam,Axisymmetric and Solid FE models are considered.The analysis is carried out on the rotor system and the accuracy of the results and the computation time of the FE models are estimated.The FE results are compared with the analytical method.It is observed that FE model can be used to simulate even at higher order frequencies,which is a limitation of analytical model.The analysis shows that the FE results closely match with analytical method and also the study summarizes that proper choosing of FE helps in developing rotor models in both a desirable accuracy and efficiency.Finally,a Campbell diagram is generated using the analytical method and FEM.The critical speeds are also calculated from the Campbell diagram.The closeness of the results between the two methods is checked.