DQEM VIBRATION ANALYSES OF NONPRISMATIC BEAMS RESTING ON ELASTIC FOUNDATIONS

2002 ◽  
Vol 02 (01) ◽  
pp. 99-115 ◽  
Author(s):  
CHANG-NEW CHEN
Keyword(s):  
Free Vibration ◽  
Numerical Algorithm ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Differential Quadrature ◽  
Analysis Model ◽  
Elastic Foundations ◽  
Differential Quadrature Element Method ◽  
Quadrature Element Method ◽  
Element Boundary

The development of differential quadrature element method (DQEM) free vibration analysis model of nonprismatic Bernoulli–Euler beams resting on Winkler elastic foundations was carried out. The DQEM uses the extended differential quadrature (EDQ) to discretize the differential eigenvalue equation defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Numerical results solved by the developed numerical algorithm are presented. They prove that the DQEM is efficient. The developed numerical algorithm can be used to analyze the related pressure vessel and piping structures.

DQEM Analysis of In-Plane Vibration of Curved Beam Structures

2002 ◽  
Author(s):  
Chang-New Chen
Keyword(s):  
Numerical Algorithm ◽  
Vibration Analysis ◽  
Offshore Structures ◽  
Differential Quadrature ◽  
Analysis Model ◽  
Beam Structures ◽  
Plane Vibration ◽  
Differential Quadrature Element Method ◽  
Quadrature Element Method ◽  
Element Boundary

The development of differential quadrature element method (DQEM) in-plane vibration analysis model of arbitrarily curved nonprismatic beam structures was carried out. The DQEM uses the extended differential quadrature (EDQ) to discretize the differential eigenvalue equation defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Numerical results solved by the developed numerical algorithm are presented. The convergence of the developed DQEM analysis model is efficient. This numerical algorithm can be used to analyze the related offshore structures.

Influence of Axially Distributed Force on the Vibration of Euler-Bernoulli Beam Structures Solved by DQEM Using EDQ

2007 ◽  
Author(s):  
Chang-New Chen
Keyword(s):  
Boundary Conditions ◽  
Numerical Algorithm ◽  
Differential Quadrature ◽  
Analysis Model ◽  
Bernoulli Beam ◽  
Beam Structures ◽  
Differential Quadrature Element Method ◽  
Quadrature Element Method ◽  
Euler Bernoulli Beam ◽  
Element Boundary

The influence of axially distributed force on the vibration of Euler-Bernoulli beam structures is analyzed by differential quadrature element method (DQEM) using extended differential quadrature (EDQ). The DQEM uses the differential quadrature to discretize the governing differential eigenvalue equation defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Numerical results solved by the developed numerical algorithm are presented. The convergence of the developed DQEM analysis model is efficient.

Vibration Analysis of Discontinuous Mindlin Plates by Differential Quadrature Element Method

1999 ◽  
Vol 121 (2) ◽  
pp. 204-208 ◽  
Author(s):  
F.-L. Liu ◽  
K. M. Liew
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Differential Quadrature Method ◽  
Free Vibration Analysis ◽  
Differential Quadrature ◽  
Mindlin Plate ◽  
Quadrature Method ◽  
Differential Quadrature Element Method ◽  
Quadrature Element Method ◽  
Element Method

A new numerical technique, the differential quadrature element method (DQEM), has been developed for solving the free vibration of the discontinuous Mindlin plate in this paper. By the DQEM, the complex plate domain is decomposed into small simple continuous subdomains (elements) and the differential quadrature method (DQM) is applied to each continuous subdomain to solve the problems. The detailed formulations for the DQEM and the connection conditions between each element are presented. Several numerical examples are analyzed to demonstrate the accuracy and applicability of this new method to the free vibration analysis of the Mindlin plate with various discontinuities which are not solvable directly using the differential quadrature method.

In-Plane Vibration of Nonprismatic Curved Beam Structures Considering the Effect of Shear Deformation Solved by DQEM

2005 ◽  
Author(s):  
Chang-New Chen
Keyword(s):  
Shear Deformation ◽  
Vibration Analysis ◽  
Differential Quadrature ◽  
Curved Beam ◽  
Analysis Model ◽  
Beam Structures ◽  
Plane Vibration ◽  
Differential Quadrature Element Method ◽  
Quadrature Element Method ◽  
Element Boundary

The development of differential quadrature element method in-plane vibration analysis model of curved nonprismatic beam structures considering the effect of shear deformation was carried out. The DQEM uses the differential quadrature to discretize the governing differential eigenvalue equation defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Numerical results solved by the developed numerical algorithm are presented. The convergence of the developed DQEM analysis model is efficient.

Out-of-Plane Vibration of Nonprismatic Curved Beam Structures Considering the Effect of Shear Deformation Solved by DQEM

2004 ◽  
Author(s):  
Chang-New Chen
Keyword(s):  
Shear Deformation ◽  
Vibration Analysis ◽  
Differential Quadrature ◽  
Analysis Model ◽  
Beam Structures ◽  
Plane Vibration ◽  
Differential Quadrature Element Method ◽  
Quadrature Element Method ◽  
Out Of Plane ◽  
Element Boundary

The development of differential quadrature element method out-of-plane vibration analysis model of curved nonprismatic beam structures considering the effect of shear deformation was carried out. The DQEM uses the differential quadrature to discretize the governing differential eigenvalue equation defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Numerical results solved by the developed numerical algorithm are presented. The convergence of the developed DQEM analysis model is efficient.

DQEM Analysis of In-Plane Deflection of Curved Beam Structures

2003 ◽  
Author(s):  
Chang-New Chen
Keyword(s):  
Boundary Conditions ◽  
Numerical Algorithm ◽  
Differential Quadrature ◽  
Curved Beam ◽  
Analysis Model ◽  
Beam Structures ◽  
Differential Quadrature Element Method ◽  
Quadrature Element Method ◽  
Deflection Analysis ◽  
Element Boundary

The development of differential quadrature element method in-plane deflection analysis model of arbitrarily curved nonprismatic beam structures was carried out. The DQEM uses the extended differential quadrature to discretize the differential eigenvalue equation defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Numerical results solved by the developed numerical algorithm are presented. The convergence of the developed DQEM analysis model is efficient.

Sign in / Sign up

Export Citation Format

Share Document