Results 181 to 190 of about 81,469 (234)
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2013
This is the first of two chapters devoted to the approximate analysis of continuous systems. In this chapter, a global method of approximation is considered: the Rayleigh-Ritz method. It is based on the definition of a set of global assumed modes defined on the entire domain and satisfying the kinematic boundary conditions.
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This is the first of two chapters devoted to the approximate analysis of continuous systems. In this chapter, a global method of approximation is considered: the Rayleigh-Ritz method. It is based on the definition of a set of global assumed modes defined on the entire domain and satisfying the kinematic boundary conditions.
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Gauge-invariant Ritz's method for electrodynamics
Physical Review D, 1984Ritz's method is formulated for electrodynamics. The wave function is expanded in terms of the scalar basis function. For the classical electromagnetic field, the expansion coefficients are determined by the direct variation of the action functional. Quantization is performed by the path integral.
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Response using the Rayleigh‐Ritz method
Earthquake Engineering & Structural Dynamics, 1979AbstractAs an example of the extension of the Rayleigh‐Ritz method to response calculations, analysis is outlined for a damped rectangular plate. For harmonic excitation amplitudes of displacement and bending moment are compared with values from a modal solution from the plate equation.
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Journal of Mathematical Chemistry
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Rayleigh-Ritz Method for Plate Flexure
Journal of the Engineering Mechanics Division, 1967A method is presented for obtaining two-dimensional plate element displacement functions which may allow continuity in any required derivative of the displacement parameter. These functions for slope and curvature continuity are used to obtain the load deflection characteristics of square plates simply supported or built-in along their edges.
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A ritz method for an optimal control problem
Journal of Optimization Theory and Applications, 1973We generalize and simplify the proofs of the basic papers of Bosarge and Johnson (Refs. 1-3) on a variational procedure for approximating the solution of thestate regular problem. We derive generala priori error bounds for this procedure and apply these results to obtain asymptotic error bounds for the special case of spline-type approximations.
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Vibration of Rectangular Plates by the Ritz Method
Journal of Applied Mechanics, 1950Abstract Ritz’s method is one of several possible procedures for obtaining approximate solutions for the frequencies and modes of vibration of thin elastic plates. The accuracy of the results and the practicability of the computations depend to a great extent upon the set of functions that is chosen to represent the plate deflection.
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Collocation, Galerkin, and Rayleigh–Ritz Methods
2019Weighted residual methods (WRM) (also called Petrov-Galerkin methods) provide simple and highly accurate solutions of BVPs. Collocation, Galerkin, and Rayleigh–Ritz methods are examples of the WRMs.
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