Free in-plane vibration of curved beam structures: A tutorial and the state of the art (Q4554652)

scientific article; zbMATH DE number 6975699

Language	Label	Description	Also known as
English	Free in-plane vibration of curved beam structures: A tutorial and the state of the art	scientific article; zbMATH DE number 6975699

Statements

instance of

scholarly article

0 references

title

Free in-plane vibration of curved beam structures: A tutorial and the state of the art (English)

0 references

published in

Journal of Vibration and Control

0 references

publication date

9 November 2018

0 references

zbMATH Keywords

free in-plane vibration

0 references

curved beams

0 references

finite element method

0 references

circular arches

0 references

Frobenius method

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1177/1077546317728148

0 references

cites work

Free Vibrations Of Circular Arches: A Review

0 references

A field consistent higher-order curved beam element for static and dynamic analysis of stepped arches

0 references

Differential quadrature and longterm integration

0 references

A new hybrid F.E. model for arbitrarily curved beam—I. Linear analysis

0 references

Dynamic stiffness formulation for structural elements: A general approach

0 references

Free vibration of a three-layered sandwich beam using the dynamic stiffness method and experiment

0 references

Two new approximate methods for analyzing free vibration of structural components

0 references

VIBRATION AND BUCKLING OF INITIALLY STRESSED CURVED BEAMS

0 references

Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems

0 references

Q2780719

0 references

Influence of centerline extensibility on the in-plane free vibrations of loaded circular arches

0 references

Simple curved shear beam elements

0 references

General curved beam elements based on the assumed strain fields

0 references

Constant curvature beam finite elements for in-plane vibration

0 references

Exact and approximate dynamic analysis of circular arches using DQM

0 references

In‐plane vibrations of shear deformable curved beams

0 references

An accurate two-node finite element for shear deformable curved beams

0 references

Shear flexible curved spline beam element for static analysis

0 references

Formulation and convergence of a mixed finite element method applied to elastic arches of arbitrary geometry and loading

0 references

Numerical transfer-method with boundary conditions for arbitrary curved beam elements

0 references

Exact Natural Frequencies Of Plane Structures Composed Of Slender Elastic Curved Members

0 references

Q3929165

0 references

Q5312461

0 references

A co-rotational formulation for nonlinear dynamic analysis of curved euler beam

0 references

In-plane free vibration and stability of loaded and shear-deformable circular arches.

0 references

An exact solution for in-plane vibrations of an arch having variable curvature and cross section

0 references

Out-of-plane dynamic analysis of beams with arbitrarily varying curvature and cross-section by dynamic stiffness matrix method

0 references

Two kinds of \(C^0\)-type elements for buckling analysis of thin-walled curved beams

0 references

The steady state in-plane response of a curved Timoshenko beam with internal damping

0 references

DERIVATION AND JUSTIFICATION OF A CURVED ROD MODEL

0 references

LINEAR CURVED ROD MODEL: GENERAL CURVE

0 references

Vibration analysis of shear deformable circular arches by the differential quadrature method

0 references

Vibration and buckling analysis of circular arches using DQM

0 references

On the validity of the finite element analysis of circular arches represented by an assemblage of beam elements

0 references

Accuracy and locking-free property of the beam element approximation for arch problems

0 references

Q4253889

0 references

Free vibration and spatial stability of non-symmetric thin-walled curved beams with variable curvatures.

0 references

A simple cubic linear element for static and free vibration analyses of curved beams

0 references

A finite element for the three-dimensional deformation of a circular ring

0 references

Locking‐free curved beam element based on curvature

0 references

Development of a new curved beam element with shear effect

0 references

Free in-plane vibrations of curved nonuniform beams

0 references

Differential quadrature method for thick symmetric cross-ply laminates with first-order shear flexibility

0 references

The exact thick arch finite element

0 references

Free vibrations of shear‐flexible and compressible arches by FEM

0 references

In-plane vibration analyses of circular arches by the generalized differential quadrature rule.

0 references

Stability, convergence, and accuracy of a new finite element method for the circular arch problem

0 references

Stiffness matrix of parabolic beam element

0 references

In-plane vibration and stability of shallow circular arches subjected to axial forces

0 references

Dynamic characteristics of stiffened rings by transfer matrix approach

0 references

Free vibrations of non-circular arches with non-uniform cross-section

0 references

Curved beam element stiffness matrix formulation

0 references

Studies on performance of curved beam finite elements for analysis of thin arches

0 references

Free vibration of a curved beam

0 references

The curved beam/deep arch/finite ring element revisited

0 references

Field-consistency and violent stress oscillations in the finite element method

0 references

The stability of arches in the Lagrangian approach

0 references

Analysis of curved beams using a new differential transformation based curved beam element

0 references

Q4248602

0 references

A three‐noded shear‐flexible curved beam element based on coupled displacement field interpolations

0 references

A <i>p</i>‐version, first order shear deformation, finite element for geometrically non‐linear vibration of curved beams

0 references

Free vibration of elastically coupled dual-span curved beams

0 references

Mixed finite element methods for the circular arch problem

0 references

Fundamental frequencies of non-circular, elastic, hinged arcs

0 references

On the Theory of a Cosserat Point and Its Application to the Numerical Solution of Continuum Problems

0 references

Numerical solution procedures for nonlinear elastic rods using the theory of a Cosserat point

0 references

Free vibration analysis of a debonded curved sandwich beam

0 references

On the hybrid-mixed formulation of \(C^ 0\) curved beam elements

0 references

Q3919204

0 references

Q4747648

0 references

New shape functions for non-uniform curved Timoshenko beams with arbitrarily varying curvature using basic displacement functions

0 references

Applied Linear Algebra and Matrix Analysis

0 references

Shear and membrane locking in curved \(C^ 0\) elements

0 references

Geometrically non-linear formulation for two dimensional curved beam elements

0 references

A Note on the Lowest Natural Frequency of Elastic Arcs

0 references

Effects of rotary inertia and shear on natural frequencies of continuous circular curved beams

0 references

Free vibration analysis of arches using curved beam elements

0 references

Free in-plane vibration analysis of a curved beam (arch) with arbitrary various concentrated elements

0 references

CURVATURE-BASED BEAM ELEMENTS FOR THE ANALYSIS OF TIMOSHENKO AND SHEAR-DEFORMABLE CURVED BEAMS

0 references

A computer program for the free vibration analysis of elastic arcs

0 references

New accurate two-noded shear-flexible curved beam elements

0 references

Elastodynamic analysis of low tension cables using a new curved beam element

0 references

Identifiers

zbMATH Open document ID

1400.74113

0 references

DOI

10.1177/1077546317728148

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:4554652