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
音乐心理学(Paychology of Music)是介于音乐学和心理学之间的一门学科。它采用心理学的方法和理论,从心理学的角度研究人类的各种音乐活动。作为一种基础性较强的理论,音乐心理学对音乐学中的其它分支——音乐史、音乐美学、音乐社会...音乐心理学(Paychology of Music)是介于音乐学和心理学之间的一门学科。它采用心理学的方法和理论,从心理学的角度研究人类的各种音乐活动。作为一种基础性较强的理论,音乐心理学对音乐学中的其它分支——音乐史、音乐美学、音乐社会学、民族音乐学、音乐教育学以及音乐技能训练等理论的研究,均有十分重要的意义。展开更多
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.
文摘音乐心理学(Paychology of Music)是介于音乐学和心理学之间的一门学科。它采用心理学的方法和理论,从心理学的角度研究人类的各种音乐活动。作为一种基础性较强的理论,音乐心理学对音乐学中的其它分支——音乐史、音乐美学、音乐社会学、民族音乐学、音乐教育学以及音乐技能训练等理论的研究,均有十分重要的意义。
