FIRST-PASSAGE TIME OF QUASI-NON-INTEGRABLE-HAMILTONIAN SYSTEM

• 来源期刊: 力学学报（英文版）
• 年，卷（期）: 2000,（2）
• 页码范围: 183-192
• 页数: 10页
• 语种: 英文

摘要

Studies on first-passage failure are extended to the multi-degree-offreedom quasi-non～integrable-Hamiltonian systems under parametric excitations of Gaussian white noises in this paper. By the stochastic averaging method of energy envelope, the system's energy can be modeled as a one-dimensional approximate diffusion process by which the classical Pontryagin equation with suitable boundary conditions is applicable to analyzing the statistical moments of the first-passage time of an arbitrary order. An example is studied in detail and some numerical results are given to illustrate the above procedure.