哈里·弗雷德里克·哈洛(Harry Frederick Harlow)1905年11月31日出生于美国衣阿华州的费尔维夫。1924年从里德学院转入斯坦福大学,1927年获文学士学位。1930年在斯坦福获哲学博士学位,在这里,为了生活,他担任了助教工作,协助P....哈里·弗雷德里克·哈洛(Harry Frederick Harlow)1905年11月31日出生于美国衣阿华州的费尔维夫。1924年从里德学院转入斯坦福大学,1927年获文学士学位。1930年在斯坦福获哲学博士学位,在这里,为了生活,他担任了助教工作,协助P.Farnsworth讲授社会心理学,并协助C.P.Stone进行大鼠的研究。在Stone的指导下,还在学生时代,哈洛就开始关于心理学史的研究。实际上。展开更多
A rectangular thin plate vibration model subjected to inplane stochastic excitation is simplified to a quasinonintegrable Hamiltonian system with two degrees of freedom. Subsequently a one-dimensional Ito stochastic d...A rectangular thin plate vibration model subjected to inplane stochastic excitation is simplified to a quasinonintegrable Hamiltonian system with two degrees of freedom. Subsequently a one-dimensional Ito stochastic differential equation for the system is obtained by applying the stochastic averaging method for quasi-nonintegrable Hamiltonian systems. The conditional reliability function and conditional probability density are both gained by solving the backward Kolmogorov equation numerically. Finally, a stochastic optimal control model is proposed and solved. The numerical results show the effectiveness of this method.展开更多
文摘哈里·弗雷德里克·哈洛(Harry Frederick Harlow)1905年11月31日出生于美国衣阿华州的费尔维夫。1924年从里德学院转入斯坦福大学,1927年获文学士学位。1930年在斯坦福获哲学博士学位,在这里,为了生活,他担任了助教工作,协助P.Farnsworth讲授社会心理学,并协助C.P.Stone进行大鼠的研究。在Stone的指导下,还在学生时代,哈洛就开始关于心理学史的研究。实际上。
基金Supported by National Natural Science Foundation of China (No.10732020)
文摘A rectangular thin plate vibration model subjected to inplane stochastic excitation is simplified to a quasinonintegrable Hamiltonian system with two degrees of freedom. Subsequently a one-dimensional Ito stochastic differential equation for the system is obtained by applying the stochastic averaging method for quasi-nonintegrable Hamiltonian systems. The conditional reliability function and conditional probability density are both gained by solving the backward Kolmogorov equation numerically. Finally, a stochastic optimal control model is proposed and solved. The numerical results show the effectiveness of this method.