On the Solution of Nonlinear Algebraic Equations Following Periodic Forced Response Analysis of Nonlinear Structures Using Different Nonlinear Solvers

Kızılay, Hazım Sefa
Ciğeroğlu, Ender


On the solution of nonlinear algebraic equations following periodic forced response analysis of nonlinear structures using different nonlinear solvers
Kizilay, H. Sefa; Ciğeroğlu, Ender (2021-01-01)
In periodic forced response analysis of nonlinear structures, most of the time analytical solutions cannot be obtained due to the complex behavior of the nonlinearity and/or due to the number of nonlinear equations to be solved. Therefore, numerical methods are widely used. For periodic forced response analysis of nonlinear systems, generally Harmonic Balance Method (HBM) or Describing Function Method (DFM), which transform the nonlinear differential equations into a set of nonlinear algebraic equations, ar...
On the estimation of kinetic parameters of organic matters using linearization methods
Uraz, Irtek; Akın, Serhat; Kök, Mustafa Verşan (Elsevier BV, 2004-08-01)
Kinetic parameters obtained by various thermal analysis methods are widely used in petroleum and other industries. These methods are restricted to relatively simple models that consist of a single equation and have usually uneven sensitivity on the uncertainty of the experimental data due to logarithmic conversions. An important consideration affecting the success of the linearization methods is that the proper selection of the beginning and the end of the linear section. A new method was implemented in adv...
On the nonlinear buckling analysis of composite shells and the associated numerical difficulties
Akkas, N; Toroslu, R (1998-08-21)
The purpose of this work is to study nonlinear, snap-through buckling behavior of shallow shells which are made of isotropic and laminated composite materials under general static loading using numerical techniques. In addition to the finite difference computer programs which we developed for this special purpose, the general pur-pose computer program ANSYS has also been used. The special purpose programs that we have developed make use of the governing equations, which are in terms of the displacement comp...
On the accuracy of first-order numerical derivatives in multidimensional digital waveguide mesh topologies
Hacıhabiboğlu, Hüseyin; Günel Kılıç, Banu (2008-01-01)
Digital waveguide mesh (DWM) models are numerical solvers for the wave equation in N-dimensions. They are used for obtaining the traveling-wave solution in practical acoustical modeling applications. Although unstructured meshes can be used with DWMs, regular mesh topologies are traditionally used due to their implementation simplicity. This letter discusses the accuracy of first-order approximations to numerical derivatives on more general unstructured mesh topologies. The results are applied to structured...
On the Entropy of Brain Anatomic Regions for Complex Problem Solving
Degirmendereli, Gonul Gunal; Newman, Sharlene D.; Yarman Vural, Fatoş Tunay (2019-01-01)
In this paper, we aim to measure the information content of brain anatomic regions using the functional magnetic resonance images (fMRI) recorded during a complex problem solving (CPS) task. We, also, analyze the brain regions, activated in different phases of the problem solving process. Previous studies have widely used machine learning approaches to examine the active anatomic regions for cognitive states of human subjects based on their fMRI data. This study proposes an information theoretic method for ...
Citation Formats
H. S. Kızılay and E. Ciğeroğlu, “On the Solution of Nonlinear Algebraic Equations Following Periodic Forced Response Analysis of Nonlinear Structures Using Different Nonlinear Solvers,” presented at the International Modal Analysis Conference and Exposition on Structural Dynamics IMAC XXXVIII, Texas, Amerika Birleşik Devletleri, 2020, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/93466.