In this paper, reciprocal theorem method (RTM) is generalized to solve the problems for the forced vibration of thick rectangular plates based on the Reissner's theory. The paper derives the dynamic basic solution...In this paper, reciprocal theorem method (RTM) is generalized to solve the problems for the forced vibration of thick rectangular plates based on the Reissner's theory. The paper derives the dynamic basic solution of thick rectangular; and the exact analytical solution of the steady-state responses of thick rectangular plates with three clamped edges and one free edge under harmonic uniformly distributed disturbing forces is found by RTM. It is regarded as a simple, convenient and general method for calculating the steady-stare responses of forced vibration of thick rectangular plates.展开更多
Based on dynamical characteristics of the tropical atmosphere, a mathematical model of low-frequency oscillation (LFO hereinafter) in low-latitudes has been developed. The analysis shows that the distributive fea- tur...Based on dynamical characteristics of the tropical atmosphere, a mathematical model of low-frequency oscillation (LFO hereinafter) in low-latitudes has been developed. The analysis shows that the distributive fea- tures (shear of wind speed) of easterlies and westerlies in low-latitudes, the divergence and convergence of meridional and zonal flow, the vertical structure of diabatic heating and the Coriolis parameter f are the basic factors resulting in the LFO, while quasi-periodical baroclinity development or index cycle of westerly waves in middle-latitudes of the Southern Hemisphere is an external forcing to the LFO in the tropical atmos- phere. The resonance on adequate condition makes LFO suddenly enhanced.展开更多
文摘In this paper, reciprocal theorem method (RTM) is generalized to solve the problems for the forced vibration of thick rectangular plates based on the Reissner's theory. The paper derives the dynamic basic solution of thick rectangular; and the exact analytical solution of the steady-state responses of thick rectangular plates with three clamped edges and one free edge under harmonic uniformly distributed disturbing forces is found by RTM. It is regarded as a simple, convenient and general method for calculating the steady-stare responses of forced vibration of thick rectangular plates.
基金National Natural Science Foundation of ChinaMonsoon Research Fund s from State Meteorological Administration
文摘Based on dynamical characteristics of the tropical atmosphere, a mathematical model of low-frequency oscillation (LFO hereinafter) in low-latitudes has been developed. The analysis shows that the distributive fea- tures (shear of wind speed) of easterlies and westerlies in low-latitudes, the divergence and convergence of meridional and zonal flow, the vertical structure of diabatic heating and the Coriolis parameter f are the basic factors resulting in the LFO, while quasi-periodical baroclinity development or index cycle of westerly waves in middle-latitudes of the Southern Hemisphere is an external forcing to the LFO in the tropical atmos- phere. The resonance on adequate condition makes LFO suddenly enhanced.
