First-passage failure and its feedback minimization of quasi-partially integrable Hamiltonian systems

• Published in: International journal of non-linear mechanics Vol. 38; no. 8; pp. 1133 - 1148
• Main Authors: Zhu, W.Q., Huang, Z.L., Deng, M.L.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.10.2003; Elsevier Science
• Subjects: Dynamical programming; Exact sciences and technology; First-passage failure; First-passage time; Fracture mechanics (crack, fatigue, damage...); Fracture mechanics, fatigue and cracks; Fundamental areas of phenomenology (including applications); Non-linear system; Physics; Reliability; Solid mechanics; Stochastic averaging; Stochastic excitation; Stochastic optimal control; Structural and continuum mechanics; First-passage time; Non-linear system; Stochastic excitation; First-passage failure; Stochastic optimal control; Dynamical programming; Reliability; Stochastic averaging; Averaging method; Itô equation; Probabilistic approach; Random excitation; Rupture; Modeling; Stochastic integral; First passage time; Hamiltonian mechanics; Hamiltonian system; Dynamic programming; Random vibration

An n degree-of-freedom Hamiltonian system with r (1<r<n) independent first integrals which are in involution is called partially integrable Hamiltonian system. A partially integrable Hamiltonian system subject to light dampings and weak stochastic excitations is called quasi-partially integrab...