Based on FEM theory,a method of dynamic analysis for hingeless rotors considering anisotropic composite materials is established.A parametric modeling method of composite blade with typical profile and high simulation...Based on FEM theory,a method of dynamic analysis for hingeless rotors considering anisotropic composite materials is established.A parametric modeling method of composite blade with typical profile and high simulation degree for design is proposed.Through the finite element method,the profile characteristics of rotor blade can be obtained efficiently and accurately,and the synchronization of parametric design and finite element analysis of structural characteristics can be realized.Then a 23-degrees of freedom non-linear beam element is used to simulate the extended one-dimensional beam,thereby a nonlinear differential equation describing the elastic motion of the rotor is established.To obtain the crosssectional target characteristics of the blades,an inverse design method is proposed for cross-section components based on combinatorial optimization algorithm.The calculation and validation work show that the proposed model can effectively analyze the aeroelastic characteristics of general composite rotors.Further,the influence of cross-sectional parameters on the aeroelastic stability and hub loads of hingeless rotor is analyzed and some remarkable conclusions are obtained.展开更多
To investigate the distinct properties of the helicopter rotors during circling flight,the aerodynamic and dynamic models for the main rotor are established considering the trim conditions and the flight parameters of...To investigate the distinct properties of the helicopter rotors during circling flight,the aerodynamic and dynamic models for the main rotor are established considering the trim conditions and the flight parameters of helicopters.The free wake method is introduced to compute the unsteady aerodynamic loads of the rotor characterized by distortions of rotor wakes,and the modal superposition method is used to predict the overall structural loads of the rotor.The effectiveness of the aerodynamic and the structural methods is verified by comparison with the experimental results,whereby the influences of circling direction,radius,and velocity are evaluated in both aerodynamic and dynamic aspects.The results demonstrate that the circling condition makes a great difference to the performance of rotor vortex,as well as the unsteady aerodynamic loads.With the decrease of the circling radius or the increment of the circling velocity,the thrust of the main rotor increases apparently to balance the inertial force.Meanwhile,the harmonics of aerodynamic loads in rotor disc change severely and an evident aerodynamic load shock appears at high-order components,which further causes a shift-of-peak-phase bending moment in the flap dimension.Moreover,the advancing side of blade experiences second blade/vortex interaction,whose intensity has a distinct enhancement as the circling radius decreases with the motion of vortexes.展开更多
The primal-dual hybrid gradient method is a classic way to tackle saddle-point problems.However,its convergence is not guaranteed in general.Some restric-tions on the step size parameters,e.g.,τσ≤1/||A^(T)A||,are i...The primal-dual hybrid gradient method is a classic way to tackle saddle-point problems.However,its convergence is not guaranteed in general.Some restric-tions on the step size parameters,e.g.,τσ≤1/||A^(T)A||,are imposed to guarantee the convergence.In this paper,a new convergent method with no restriction on parame-ters is proposed.Hence the expensive calculation of ||A^(T)A|| is avoided.This method produces a predictor like other primal-dual methods but in a parallel fashion,which has the potential to speed up the method.This new iterate is then updated by a sim-ple correction to guarantee the convergence.Moreover,the parameters are adjusted dynamically to enhance the efficiency as well as the robustness of the method.The generated sequence monotonically converges to the solution set.A worst-case O(1/t)convergence rate in ergodic sense is also established under mild assumptions.The nu-merical efficiency of the proposed method is verified by applications in LASSO problem and Steiner tree problem.展开更多
文摘Based on FEM theory,a method of dynamic analysis for hingeless rotors considering anisotropic composite materials is established.A parametric modeling method of composite blade with typical profile and high simulation degree for design is proposed.Through the finite element method,the profile characteristics of rotor blade can be obtained efficiently and accurately,and the synchronization of parametric design and finite element analysis of structural characteristics can be realized.Then a 23-degrees of freedom non-linear beam element is used to simulate the extended one-dimensional beam,thereby a nonlinear differential equation describing the elastic motion of the rotor is established.To obtain the crosssectional target characteristics of the blades,an inverse design method is proposed for cross-section components based on combinatorial optimization algorithm.The calculation and validation work show that the proposed model can effectively analyze the aeroelastic characteristics of general composite rotors.Further,the influence of cross-sectional parameters on the aeroelastic stability and hub loads of hingeless rotor is analyzed and some remarkable conclusions are obtained.
基金supported by the National Natural Science Foundation of China(Nos.12102186,12032012)the Natural Science Foundation of Jiangsu Province,China(No.BK20200433)+2 种基金the Laboratory Foundation of China(No.61422202201)the Young Elite Scientists Sponsorship Program by CAST,China(No.2022QNRC001)the Priority Academic Program Development of Jiangsu Higher Education Institutions,China。
文摘To investigate the distinct properties of the helicopter rotors during circling flight,the aerodynamic and dynamic models for the main rotor are established considering the trim conditions and the flight parameters of helicopters.The free wake method is introduced to compute the unsteady aerodynamic loads of the rotor characterized by distortions of rotor wakes,and the modal superposition method is used to predict the overall structural loads of the rotor.The effectiveness of the aerodynamic and the structural methods is verified by comparison with the experimental results,whereby the influences of circling direction,radius,and velocity are evaluated in both aerodynamic and dynamic aspects.The results demonstrate that the circling condition makes a great difference to the performance of rotor vortex,as well as the unsteady aerodynamic loads.With the decrease of the circling radius or the increment of the circling velocity,the thrust of the main rotor increases apparently to balance the inertial force.Meanwhile,the harmonics of aerodynamic loads in rotor disc change severely and an evident aerodynamic load shock appears at high-order components,which further causes a shift-of-peak-phase bending moment in the flap dimension.Moreover,the advancing side of blade experiences second blade/vortex interaction,whose intensity has a distinct enhancement as the circling radius decreases with the motion of vortexes.
基金This research is supported by National Natural Science Foundation of China(Nos.71201080,71571096)Social Science Foundation of Jiang-su Province(No.14GLC001)Fundamental Research Funds for the Central Universities(No.020314380016).
文摘The primal-dual hybrid gradient method is a classic way to tackle saddle-point problems.However,its convergence is not guaranteed in general.Some restric-tions on the step size parameters,e.g.,τσ≤1/||A^(T)A||,are imposed to guarantee the convergence.In this paper,a new convergent method with no restriction on parame-ters is proposed.Hence the expensive calculation of ||A^(T)A|| is avoided.This method produces a predictor like other primal-dual methods but in a parallel fashion,which has the potential to speed up the method.This new iterate is then updated by a sim-ple correction to guarantee the convergence.Moreover,the parameters are adjusted dynamically to enhance the efficiency as well as the robustness of the method.The generated sequence monotonically converges to the solution set.A worst-case O(1/t)convergence rate in ergodic sense is also established under mild assumptions.The nu-merical efficiency of the proposed method is verified by applications in LASSO problem and Steiner tree problem.
