Differential Quadrature Element Method Analysis Research Articles

DQEM analysis of out‐of‐plane deflection of non‐prismatic curved beam structures considering the effect of shear deformation

AbstractThe development of differential quadrature element method (DQEM) out‐of‐plane deflection analysis model of curved non‐prismatic beam structures considering the effect of shear deformation was carried out. The DQEM uses the differential quadrature (DQ) 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. Copyright © 2006 John Wiley & Sons, Ltd.

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 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 obtained by the developed numerical algorithm show that the convergence of the developed DQEM analysis model is efficient.

Differential Quadrature Element Method Analysis of In‐Plane Deflection of Vertically Curved Beam Structures

Abstract: The development of the differential quadrature element method (DQEM) in‐plane deflection analysis model of arbitrarily curved beam structures was carried out. The DQEM uses the extended differential quadrature to discretize the differential equation defined on each element, the transition conditions defined on the interelement boundary of two adjacent elements, and the boundary conditions of the beam. Numerical results obtained from solving two structural models using a numerical algorithm are presented. The convergence of the developed DQEM analysis model is efficient.

Buckling equilibrium equations of arbitrarily loaded nonprismatic composite beams and the DQEM buckling analysis using EDQ

The generic buckling equilibrium equations of arbitrarily loaded nonprismatic composite beams are derived. These equations can be used to develop the differential quadrature element method (DQEM) analysis model of buckling of generic nonprismatic beam structures. In developing the DQEM analysis model, the extended differential quadrature can be used to discretize the buckling equilibrium 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 of the buckling of sample bar structures solved by the DQEM are presented. They prove that the DQEM buckling analysis model is efficient.

Vibration of nonuniform shear deformable axisymmetric orthotropic circular plates solved by DQEM

A new numerical approach for solving the vibration of nonuniform shear deformable axisymmetric orthotropic circular plate problems is proposed. The approach uses the differential quadrature (DQ) to discretize the governing equations defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the plate. It is a differential quadrature element method (DQEM) analysis model. Numerical results of sample problems solved by this DQEM analysis model are presented. They prove that the developed DQEM analysis model of shear deformable axisymmetric orthotropic circular plates is efficient.

Vibration of prismatic beam on an elastic foundation by the differential quadrature element method

A new numerical approach for solving the vibration of a beam resting on an elastic foundation is proposed. The approach uses the differential quadrature (DQ) 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. It is the differential quadrature element method (DQEM) analysis model of the vibration of beams resting on elastic foundations. Numerical results obtained are presented. They prove that the developed DQEM analysis model is efficient and reliable.

Solution of nonuniform shear deformable axisymmetric orthotropic circular plate problems using DQEM

A new numerical approach for solving non-uniform shear deformable axisymmetric orthotropic circular plate problems is proposed. The approach uses differential quadrature (DQ) to discretize the governing equations defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements, and the boundary conditions of the plate. This is a differential quadrature element method (DQEM) analysis model. Numerical results of sample problems solved by this DQEM analysis model are presented. They prove that the developed DQEM shear deformable axisymmetric orthotropic circular late analysis model is accurate. Copyright © 2000 John Wiley & Sons, Ltd.

Adaptive differential quadrature element refinement analyses of fluid mechanics problems

The differential quadrature element method (DQEM) has been proposed. The element weighting coefficient matrices are generated by the differential quadrature (DQ) or generic differential quadrature (GDQ). By using the DQ or GDQ technique and the mapping procedure the governing differential or partial differential equations, the transition conditions of two adjacent elements and the boundary conditions can be discretized. The overall algebraic equation system can be obtained by assembling all of the discretized equations. This method can convert a generic engineering or scientific problem having an arbitrary domain configuration into a computer algorithm. The DQEM analysis can be carried out by the adaptive refinement procedure. The development of adaptive DQEM refinement analysis procedure for fluid mechanics problems is carried out. Numerical results are presented.