The differential quadrature element method irregular element torsion analysis model

DQEM and DQFDM irregular elements for analyses of 2-D heat conduction in orthotropic media

“…The DQEM and GDQEM analyses using elements having extremely nonuniform distributions of element nodes will also have excellent numerical performances. Sample analyses have been carried out which have proved the fact [10]. It should also be mentioned that in the DQEM analyses efficient mesh and efficient element grid can be designed so that in discretizing a fundamental relation defined at a discrete point in an element or on an element boundary parallel to one of the coordinate axes only the standard DQ has to be used which can significantly reduce the computer memory requirement and CPU time.…”

“…In using certain plate and shell FEM elements to solve structural problems, reliable convergence might not be able to be assured. In solving the torsion problem of a solid bar by using extremely distorted two-dimensional DQEM element, the results converged consistently by gradually increasing the element nodes [10]. In solving the plate bending or shell problems, certain FEM elements may not converge well, while the DQEM, GDQEM and DQFDM plate analysis model can converge effectively.…”

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

“…The DQEM also has the same advantage as the FEM of general geometry and systematic boundary treatment. In Reference [6], numerical results of the torsion of a prismatic bar with a square cross-section are presented. The results obtained by DQEM can converge up to the fifth digit accuracy by using only 25 degrees of freedom (DOF), while a FEM solution of using 1521 DOF converge only up to the third digit accuracy.…”

DQEM analysis of in-plane vibration of curved beam structures

“…It has been proved that DQEM and GDQEM are efficient [1,[19][20][21][22][23][24]. The convergence rate of these two methods is excellent.…”