This paper presents a method for robust flutter computation which uses flight altitude as the perturbation variable in order to obtain a match point solution. The air density and sound speed of standard atmosphere mod...This paper presents a method for robust flutter computation which uses flight altitude as the perturbation variable in order to obtain a match point solution. The air density and sound speed of standard atmosphere model are approximated as the polynomial function of altitude, such that the flight altitude becomes the single perturbation variable that describes the aeroelastic system. The uncertainties of generalized stiffness and damping are considered and the uncertain aeroelastic system can be formulated as linear fractional transformation （LFT） representation which is suitable for/.t analysis framework. Finally, the match point solutions of robust flutter margins can be computed with structured singular value （SSV） theory. The robust flutter analysis method provided in this paper is suitable for constant-Mach flight flutter test and provides valuable reference for flight envelope expansion.展开更多
While the convergence of alternating direction method(ADM)for two sep-arable variables has been established for years,the validity of its direct generalizationto more than two blocks has been studying now.In this pape...While the convergence of alternating direction method(ADM)for two sep-arable variables has been established for years,the validity of its direct generalizationto more than two blocks has been studying now.In this paper,we propose an additionalrequirement on the constraints,i.e.,the pair-wise linear constraints and establish theconvergence of ADM for more than two blocks.Then we apply our approach to twokinds of optimization problems.We also show several numerical experiments to verifythe rationality of proposed algorithm.展开更多
基金Ph.D. Programs Foundation of Ministy of Education of China (20040287019)
文摘This paper presents a method for robust flutter computation which uses flight altitude as the perturbation variable in order to obtain a match point solution. The air density and sound speed of standard atmosphere model are approximated as the polynomial function of altitude, such that the flight altitude becomes the single perturbation variable that describes the aeroelastic system. The uncertainties of generalized stiffness and damping are considered and the uncertain aeroelastic system can be formulated as linear fractional transformation （LFT） representation which is suitable for/.t analysis framework. Finally, the match point solutions of robust flutter margins can be computed with structured singular value （SSV） theory. The robust flutter analysis method provided in this paper is suitable for constant-Mach flight flutter test and provides valuable reference for flight envelope expansion.
文摘While the convergence of alternating direction method(ADM)for two sep-arable variables has been established for years,the validity of its direct generalizationto more than two blocks has been studying now.In this paper,we propose an additionalrequirement on the constraints,i.e.,the pair-wise linear constraints and establish theconvergence of ADM for more than two blocks.Then we apply our approach to twokinds of optimization problems.We also show several numerical experiments to verifythe rationality of proposed algorithm.
