The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review
From MaRDI portal
Publication:4554633
DOI10.1177/1077546317694724zbMath1400.65038OpenAlexW2592044974MaRDI QIDQ4554633
Publication date: 9 November 2018
Published in: Journal of Vibration and Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1077546317694724
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) Shells (74K25) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)
Related Items (8)
A semi-analytical model for dynamic analysis of thin plates with plate-type resonators ⋮ Free Vibration of Stiffened Plate with Cracked Stiffeners ⋮ Dynamic behaviour of carbon-nanotube reinforced functionally graded double-arch systems ⋮ Inverse differential quadrature solutions for free vibration of arbitrary shaped laminated plate structures ⋮ Cell- and Node-Based Smoothing MITC3-Finite Elements for Static and Free Vibration Analysis of Laminated Composite and Functionally Graded Plates ⋮ Advanced computational technique based on kriging and Polynomial Chaos Expansion for structural stability of mechanical systems with uncertainties ⋮ Parametric Vibrations of Functionally Graded Sandwich Plates with Complex Forms ⋮ Splines in vibration analysis of non-homogeneous circular plates of quadratic thickness
Cites Work
- Three-dimensional vibrations of annular thick plates with linearly varying thickness
- Characteristic orthogonal polynomials in the study of transverse vibrations of nonhomogeneous rectangular orthotropic plates of bilinearly varying thickness
- Application of Ritz functions in buckling analysis of embedded orthotropic circular and elliptical micro/nano-plates based on nonlocal elasticity theory
- A mixed method for free and forced vibration of rectangular plates
- Free vibration analysis of piezoelectric coupled annular plates with variable thickness
- Free vibration analysis of a functionally graded rectangular plate in contact with a bounded fluid
- Numerical solution for frequencies and mode shapes of elliptical plate half of whose boundary is simply supported and the rest free
- Free transverse vibration of elliptical plates of variable thickness with half of the boundary clamped and the rest free
- 3-D vibration analysis of skew thick plates using Chebyshev-Ritz method
- Study of the effect of thermal gradient on free vibration of clamped visco-elastic rectangular plates with linearly thickness variation in both directions
- Effect of elastic foundation on the vibration of orthotropic elliptic plates with varying thickness
- Effect of non-homogeneity on natural frequencies of vibration of elliptic plates
- Thermal effect on vibration of non-homogeneous viscoelastic rectangular plate of linearly varying thickness
- Transverse vibration of circular and elliptic plates with variable thickness
- Transverse vibration of completely-free elliptic and circular plates using orthogonal polynomials in the Rayleigh-Ritz method
- Transverse vibration of circular and elliptic plates with quadratically varying thickness
- Vibration of clamped elliptical plates using exact circular plate modes as shape functions in Rayleigh-Ritz method
- Natural frequencies for free vibration of nonhomogeneous elliptic and circular plates using two-dimensional orthogonal polynomials
- Three-dimensional vibration analysis of circular and annular plates via the Chebyshev--Ritz method.
- Transverse vibrations of elliptical plate of linearly varying thickness with half of the boundary clamped and the rest simply supported.
- Buckling behavior of a graphite/epoxy composite plate under parabolic variation of axial loads
- Three-dimensional vibrations of thick spherical shell segments with variable thickness
- Vibrations of point-supported rectangular plates with variable thickness using a set of static tapered beam functions
- Utilization of characteristic polynomials in vibration analysis of non-uniform beams under a moving mass excitation
- Free vibration of polar orthotropic circular plates of quadratically varying thickness resting on elastic foundation
- 3-D vibration analysis of generalized super elliptical plates using Chebyshev--Ritz method
- Vibration of composite plates with internal supports
- Three-dimensional vibration analysis of thick rectangular plates using Chebyshev polynomial and Ritz method
- Effect of thermal gradient on vibration of non-homogeneous visco-elastic elliptic plate of variable thickness
- Vibration analysis of rectangular plates with edge V-notches
- The influence of corner stress singularities on the vibration characteristics of rhombic plates with combinations of simply supported and free edges
- DSC-Ritz element method for vibration analysis of rectangular Mindlin plates with mixed edge supports
- On the use of 2-D orthogonal polynomials in the Rayleigh-Ritz method for flexural vibration of annular sector plates of arbitrary shape
- Vibration of beams with piezoelectric inclusions
- Vibrations of nonhomogeneous orthotropic rectangular plates with bilinear thickness variation resting on Winkler foundation
- On the use of orthogonal polynomials in the Rayleigh-Ritz method for the study of the flexural vibration and buckling of isotropic and orthotropic rectangular plates
- Vibration of visco-elastic rectangular plate with linearly thickness variations in both directions
- The Rayleigh–Ritz Method for Structural Analysis
- FREE VIBRATIONS OF COMBINED HEMISPHERICAL–CYLINDRICAL SHELLS OF REVOLUTION WITH A TOP OPENING
- ANALYSIS OF FREE VIBRATION OF ROTATING DISK –BLADE COUPLED SYSTEMS BY USING ARTIFICIAL SPRINGS AND ORTHOGONAL POLYNOMIALS
- Natural frequencies of circular and annular plates with radial or circumferential cracks
- Effect of thermal gradient on frequencies of an orthotropic rectangular plate whose thickness varies in two directions
- Vibration Characteristics of Conical Shell Panels With Three-Dimensional Flexibility
- Three-Dimensional Flexure of Rectangular Plates Made of Functionally Graded Materials
- Free vibration analysis of rectangular plates using orthogonal plate function
- Transverse vibrations of an elliptic plate with variable thickness
- Rayleigh-Ritz vibration analysis of Mindlin plates
- Prediction of natural frequencies of vibration of rectangular plates with rectangular cutouts
- On the use of orthogonal polynomials in the rayleigh-ritz method for the study of transverse vibration of elliptic plates
- A finite element for the vibration analysis of Timoshenko beams
- Use of two-dimensional orthogonal polynomials for vibration analysis of circular and elliptical plates
- Transverse vibration of simply supported elliptical and circular plates using boundary characteristic orthogonal polynomials in two variables
- The free flexural vibration of isotropic and orthotropic general triangular shaped plates
- Axisymmetric vibration of circular plates and its analog in elliptical plates using characteristic orthogonal polynomials
- Vibrations Of Circular Plates Having V-notches Or Sharp Radial Cracks
- Transverse Vibration Of Annular Circular And Elliptic Plates Using The Characteristic Orthogonal Polynomials In Two Dimensions
- On the Use of pb-2 Rayleigh-Ritz Method for Free Flexural Vibration of Triangular Plates With Curved Internal Supports
- The Free Flexural Vibration of Symmetric Angle-Ply Triangular Composite Laminates
- Free vibration of rectangular plates on elastic point supports with the application of a new type of admissible function
- Natural Frequencies For Completely Free Trapezoidal Plates
- Flexural Vibration of Skew Plates Using Boundary Characteristic Orthogonal Polynomials in Two Variables
- Use of Characteristic Orthogonal Polynomials in Two Dimensions for Transverse Vibration of Elliptic and Circular Plates With Variable Thickness
- A pb-2 Ritz Formulation for Flexural Vibration of Shallow Cylindrical Shells of Rectangular Planform
- Numerical convergence of simple and orthogonal polynomials for the unilateral plate buckling problem using the Rayleigh-Ritz method
- Effects of Arbitrarily Distributed Elastic Point Constraints on Vibrational Behaviour of Rectangular Plates
- The Free Vibration Of Circularly Cylindrical Shell And Plate Systems
- Free vibration of rectangular isotropic plates with and without a concentrated mass
- Vibration of cracked rectangular plates including transverse shear deformation and rotary inertia
- Natural frequencies of elastically restrained rectangular plates using a set of static beam functions in the Rayleigh-Ritz method
- Free vibration analysis of skew fibre-reinforced composite laminates based on first-order shear deformation plate theory
- Vibration Of Plates With Cut-Outs Using Boundary Characteristic Orthogonal Polynomial Functions In The Rayleigh-ritz Method
- Natural frequencies of edge restrained tapered rectangular plates
- ANALYSIS OF VIBRATING RECTANGULAR ANISOTROPIC PLATES WITH FREE-EDGE HOLES
- The free vibration of rectangular plates
- DSC‐Ritz method for the free vibration analysis of Mindlin plates
- Unnamed Item
- Unnamed Item
This page was built for publication: The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review
