Eight-node quadrilateral double-curved surface element for membrane analysis
Computers and Structures
Computer Aided Design of Cable Membrane Structures
Computer Aided Design of Cable Membrane Structures
Design of nexorades or reciprocal frame systems with the dynamic relaxation method
Computers and Structures
Dynamic relaxation large deflection analysis of non-axisymmetric circular viscoelastic plates
Computers and Structures
Annular sector plates: Comparison of full-section and layer yield predictions
Computers and Structures
Efficient buckling and free vibration analysis of cyclically repeated space truss structures
Finite Elements in Analysis and Design
A simple explicit arc-length method using the dynamic relaxation method with kinetic damping
Computers and Structures
A new method of fictitious viscous damping determination for the dynamic relaxation method
Computers and Structures
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This paper deals with the stability and convergence rate of the kinetic damping process in Dynamic Relaxation (DR) method. Based on running an incremental analysis, a new relationship is presented for fictitious mass of the kinetic DR algorithm. This formulation is also combined with a transformational form of the Gerschgorin circles theory, proposed here. For numerical verification, some structures from the finite element models are analyzed statically and dynamically and results are compared with the well-known viscous and kinetic DR algorithms. These examples clearly show that the proposed fictitious mass considerably increases the convergence rate of the kinetic DR iterations.