DQEM Analysis of In-Plane Vibration of Curved Beam Structures

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.

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

Volume 2: Computer Technology ◽

10.1115/pvp2005-71416 ◽

2005 ◽

Author(s):

Chang-New Chen

Keyword(s):

Shear Deformation ◽

Vibration Analysis ◽

Differential Quadrature ◽

Curved Beam ◽

Analysis Model ◽

Beam Structures ◽

Plane Vibration ◽

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.

23rd International Conference on Offshore Mechanics and Arctic Engineering, Volume 2 ◽

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

10.1115/omae2004-51327 ◽

2004 ◽

Author(s):

Chang-New Chen

Keyword(s):

Shear Deformation ◽

Vibration Analysis ◽

Differential Quadrature ◽

Analysis Model ◽

Beam Structures ◽

Plane Vibration ◽

Out Of Plane ◽

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.

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

Volume 2: Computer Applications/Technology and Bolted Joints ◽

10.1115/pvp2007-26033 ◽

2007 ◽

Author(s):

Chang-New Chen

Keyword(s):

Boundary Conditions ◽

Numerical Algorithm ◽

Differential Quadrature ◽

Analysis Model ◽

Bernoulli Beam ◽

Beam Structures ◽

Euler Bernoulli Beam ◽

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.

DQEM VIBRATION ANALYSES OF NONPRISMATIC BEAMS RESTING ON ELASTIC FOUNDATIONS

International Journal of Structural Stability and Dynamics ◽

10.1142/s0219455402000403 ◽

2002 ◽

Vol 02 (01) ◽

pp. 99-115 ◽

Cited By ~ 2

Author(s):

CHANG-NEW CHEN

Keyword(s):

Free Vibration ◽

Numerical Algorithm ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Differential Quadrature ◽

Analysis Model ◽

Elastic Foundations ◽

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 Deflection of Curved Beam Structures

Computer Technology and Applications ◽

10.1115/pvp2003-1910 ◽

2003 ◽

Author(s):

Chang-New Chen

Keyword(s):

Boundary Conditions ◽

Numerical Algorithm ◽

Differential Quadrature ◽

Curved Beam ◽

Analysis Model ◽

Beam Structures ◽

Deflection Analysis ◽

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.

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

Computer Technology and Applications ◽

10.1115/pvp2004-2771 ◽

2004 ◽

Author(s):

Chang-New Chen

Keyword(s):

Shear Deformation ◽

Differential Quadrature ◽

Analysis Model ◽

Beam Structures ◽

Out Of Plane ◽

Deflection Analysis ◽

The development of differential quadrature element method out-of-plane deflection 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 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.

Volume 1: Offshore Technology; Offshore Wind Energy; Ocean Research Technology; LNG Specialty Symposium ◽

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

10.1115/omae2006-92209 ◽

2006 ◽

Author(s):

Chang-New Chen

Keyword(s):

Boundary Conditions ◽

Axial Force ◽

Differential Quadrature ◽

Analysis Model ◽

Bernoulli Beam ◽

Beam Structures ◽

Euler Bernoulli Beam ◽

The influence of axial 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.

Influence of Axial Force on the Flexural Deflection of Euler-Bernoulli Beam Structures Solved by DQEM Using EDQ

Volume 2: Computer Technology ◽

10.1115/pvp2006-icpvt-11-93515 ◽

2006 ◽

Author(s):

Chang-New Chen

Keyword(s):

Axial Force ◽

Differential Quadrature ◽

Analysis Model ◽

Bernoulli Beam ◽

Beam Structures ◽

Euler Bernoulli Beam ◽

The influence of axial force on the flexural deflection 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 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.

24th International Conference on Offshore Mechanics and Arctic Engineering: Volume 3 ◽

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

10.1115/omae2005-67317 ◽

2005 ◽

Author(s):

Chang-New Chen

Keyword(s):

Shear Deformation ◽

Differential Quadrature ◽

Curved Beam ◽

Analysis Model ◽

Beam Structures ◽

Deflection Analysis ◽

The development of differential quadrature element method in-plane deflection 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 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.

Influence of Axial Force on the Deflection of Timoshenko Beam Structures Solved by DQEM

Volume 2: Computer Applications/Technology and Bolted Joints ◽

10.1115/pvp2007-26032 ◽

2007 ◽

Author(s):

Chang-New Chen

Keyword(s):

Differential Equation ◽

Axial Force ◽

Timoshenko Beam ◽

Differential Quadrature ◽

Analysis Model ◽

Beam Structures ◽

The influence of axial force on the deflection of Timoshenko beam structures is analyzed by differential quadrature element method (DQEM). The DQEM uses the differential quadrature to discretize the governing differential 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.