nonlinear inelastic static analysis of plane frames with numerically generated tangent stiffness matrices

Nonlinear inelastic static analysis of plane 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 required to find the exact tangent stiffness matrices, researchers have developed novel innovations into the Newton-Raphson method to reduce the cost and time required by the analysis. In this paper, a ...

Nonlinear inelastic dynamic analysis of space steel frames with semi-rigid connections in urban buildings

Applied studies addressing semi-rigid connections have been limited. Scant information exists in regulations except little brief information. Therefore, this research analyzes the behavior of three-dimensional steel frames and semi-rigid connections based on beam-column method and non-linear dynamic analysis. Stability functions and geometric stiffness matrix were used to study the non-linear g...

Initial vs. Tangent Stiffness-based Rayleigh Damping in Inelastic Time History Seismic Analyses

In the inelastic time history analyses of structures in seismic motion, part of the seismic energy that is imparted to the structure is absorbed by the inelastic structural model, and Rayleigh damping is commonly used in practice as an additional energy dissipation source. It has been acknowledged that Rayleigh damping models lack physical consistency and that, in turn, it must be carefully use...

Stability of Frames Generated by Nonlinear Fourier atoms

Quadrature signal processing is used in many fields of science and engineering, and quadrature signals are necessary to describe the processing and implementation that takes place in modern digital communication systems. It serves two purposes: to determine the parameters needed for the construction of a necessary model, and to confirm if the model constructed represents the physical phenomenon...

OPTIMUM WEIGHTED MODE COMBINATION FOR NONLINEAR STATIC ANALYSIS OF STRUCTURES

In recent years some multi-mode pushover procedures taking into account higher mode effects, have been proposed. The responses of considered modes are combined by the quadratic combination rules, while using the elastic modal combination rules in the inelastic phases is not valid. Here, an optimum weighted mode combination method for nonlinear static analysis is presented. Genetic algorithm is ...

Nonlinear Analysis of Knee-braced Frames under Earthquake Loadings