منابع مشابه
Damage Detection of Bridge by Rayleigh-Ritz Method
As a result of environmental and accidental actions, damage occurs in structures. The early detection of any defect can be achieved by regular inspection and condition assessment. In this way, the safety and reliability of structures can be increased. This paper is devoted to propose a new and effective method for detecting, locating, and quantifying beam-like structures. This method is based o...
متن کاملThe Pad e - Rayleigh - Ritz Method for SolvingLarge
We make use of the Pad e approximants and Krylov's sequence x; Ax; ; : : :; A m?1 x in the projection methods to compute a few Ritz values of a hermitian matrix A of order n. This process consists of approaching the poles of R x () = ((I ?A) ?1 x; x), the mean value of the resolvant of A, by those of m ? 1=m] Rx (), where m ? 1=m] Rx () is the Pad e approximant of order m of the function R x ()...
متن کاملOptimal a priori error bounds for the Rayleigh-Ritz method
We derive error bounds for the Rayleigh-Ritz method for the approximation to extremal eigenpairs of a symmetric matrix. The bounds are expressed in terms of the eigenvalues of the matrix and the angle between the subspace and the eigenvector. We also present a sharp bound.
متن کاملExtended Ritz method for reservoir management over an infinite horizon
The management problem of water reservoirs can be formulated as a stochastic optimal control (SOC) problem, where the objective function is an aggregated cost that accounts for the interests acting in the water system (e.g. hydropower production, irrigation supply, etc.) and the design variable is the reservoirs release policy. Solving the SOC problem through stochastic dynamic programming is o...
متن کاملRayleigh-Ritz Method For Free Vibration of Mindlin Trapezoidal Plates
In the present paper, the free vibration of moderately thick trapezoidal plates has been studied. The analysis is based on the Mindlin shear deformation theory. The solutions are determined using the pb-2 Rayleigh-Ritz method. The transverse displacement and the rotations of the plate are approximated by Ritz functions defined as two dimensional polynomials of the trapezoidal domain variables a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1934
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.20.9.529