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RISA meshless local Petrov–Galerkin method for nonlinear dynamic analyses of hyper-elastic FG thick hollow cylinder with Rayleigh damping
This paper is devoted to the geometrically nonlinear analysis of a functionally graded (FG) thick hollow cylinder with Rayleigh damping. The hollow cylinder is subjected to axisymmetric mechanical shock loading on its bounding surfaces. First...
A triangular shell element for geometrically nonlinear analysis
In this paper, a geometrically nonlinear formulation for a six-node triangular shell element is proposed.
Total Lagrangian formulation is utilized to consider large displacements and rotations in the shell ...
Nonlinear Edge Effect Analysis Of Laminated Beams With Piezoelectric Layers
An analytical solution is presented to determine the interlaminar stresses of general cross-ply laminated
beams with piezoelectric layers. The displacement field is assumed within the framework of a third-order
shear ...
Nonlinear inelastic static analysis of frames with numerically generated tangent stiffness matrices
For the nonlinear analysis of structures using the well known Newton-Raphson Method, the tangent
stiffness matrices of the elements must be constructed in each iteration. Due to the high expense requiredto find the exact tangent stiffness...
Nonlinear Analysis of Functionally Graded Beams
Purpose: It is the intention of the present study to examine the effect of geometric nonlinearity on displacements
and stresses in beams made of functionally graded materials (FGMs) subjected to thermo-mechanical ...
A fast and accurate dynamic relaxation scheme
Dynamic relaxation method (DRM) is one of the suitable numerical procedures for nonlinear structural analysis. Adding the fictitious inertia and damping forces to the static equation, and turning it to the dynamic system, ...
Geometrical nonlinear analysis of structures using residual variables
The capability of nonlinear analysis methods in tracing the equilibrium path depends on how to return to static status. In this paper, some residual factors existed in the iteration steps are employed. By setting the
residual load parameter...
Highly accurate family of time integration method
In this study, the acceleration vector in each time step is assumed to be a mth order time polynomial. By using the initial conditions, satisfying the equation of motion at both ends of the time step and minimizing the ...
Nonprismatic beam and column design tables for nanlinear analysis
Nonprismatic thin walled beams and columns, which are used by the designers, can not be analyzed for stability by classical methods. In order to find the critical loads for such members, a geometrical nonlinear analysis is required. This numerical...