Up till now, among the numerical computation methods of the spherical harmonic perturbation on an artificial satellite, the computation speed of Cunningham’s method is the fastest However, running programs based on t...Up till now, among the numerical computation methods of the spherical harmonic perturbation on an artificial satellite, the computation speed of Cunningham’s method is the fastest However, running programs based on this method easily causes overflow. A method is presented, which has a computation speed higher than that of any other methods, and can avoid overflow in operation, even when the order and degree of the Earth’s spherical harmonic perturbation are extended to 100 × 100 or more. It satisfies the requirements of the high-accuracy SLR, GPS, LLR, etc. This method has been programmed and used in practice Now a large-scale calculation related to the satellite precision ephemeris could be done just with a microcomputer.展开更多
Several algorithms were proposed relating to the development of a framework of the perturbation-based stochastic finite element method (PSFEM) for large variation nonlinear dynamic problems. For this purpose, algorith...Several algorithms were proposed relating to the development of a framework of the perturbation-based stochastic finite element method (PSFEM) for large variation nonlinear dynamic problems. For this purpose, algorithms and a framework related to SFEM based on the stochastic virtual work principle were studied. To prove the validity and practicality of the algorithms and framework, numerical examples for nonlinear dynamic problems with large variations were calculated and compared with the Monte-Carlo Simulation method. This comparison shows that the proposed approaches are accurate and effective for the nonlinear dynamic analysis of structures with random parameters.展开更多
基金Project supported by the National Natural Science Foundation of China and the Natural Science Foudation of Guangdong Province.
文摘Up till now, among the numerical computation methods of the spherical harmonic perturbation on an artificial satellite, the computation speed of Cunningham’s method is the fastest However, running programs based on this method easily causes overflow. A method is presented, which has a computation speed higher than that of any other methods, and can avoid overflow in operation, even when the order and degree of the Earth’s spherical harmonic perturbation are extended to 100 × 100 or more. It satisfies the requirements of the high-accuracy SLR, GPS, LLR, etc. This method has been programmed and used in practice Now a large-scale calculation related to the satellite precision ephemeris could be done just with a microcomputer.
文摘Several algorithms were proposed relating to the development of a framework of the perturbation-based stochastic finite element method (PSFEM) for large variation nonlinear dynamic problems. For this purpose, algorithms and a framework related to SFEM based on the stochastic virtual work principle were studied. To prove the validity and practicality of the algorithms and framework, numerical examples for nonlinear dynamic problems with large variations were calculated and compared with the Monte-Carlo Simulation method. This comparison shows that the proposed approaches are accurate and effective for the nonlinear dynamic analysis of structures with random parameters.
