scholarly journals STOCHASTIC NONLINEAR RESPONSE OF STRUCTURAL SYSTEMS ENDOWED WITH SINGULAR MATRICES SUBJECT TO COMBINED PERIODIC AND STOCHASTIC EXCITATIONS

2021 ◽  
Author(s):  
Peihua Ni ◽  
Vasileios C. Fragkoulis ◽  
Fan Kong ◽  
Ioannis P. Mitseas ◽  
Michael Beer ◽  
...  
Keyword(s):  
Nonlinear Response ◽  
Structural Systems ◽  
Stochastic Excitations ◽  
Singular Matrices

Modal Interactions in Dynamical and Structural Systems

1989 ◽  
Vol 42 (11S) ◽  
pp. S175-S201 ◽  
Author(s):  
A. H. Nayfeh ◽  
B. Balachandran
Keyword(s):  
Dynamical Systems ◽  
Surface Waves ◽  
Nonlinear Response ◽  
Experimental Studies ◽  
Structural Systems ◽  
Qualitative Behavior ◽  
Modal Interactions ◽  
Chaotic Motions ◽  
Beam Structures ◽  
Quadratic Nonlinearities

We review theoretical and experimental studies of the influence of modal interactions on the nonlinear response of harmonically excited structural and dynamical systems. In particular, we discuss the response of pendulums, ships, rings, shells, arches, beam structures, surface waves, and the similarities in the qualitative behavior of these systems. The systems are characterized by quadratic nonlinearities which may lead to two-to-one and combination autoparametric resonances. These resonances give rise to a coupling between the modes involved in the resonance leading to nonlinear periodic, quasi-periodic, and chaotic motions.

Linear Random Vibration of Structural Systems with Singular Matrices

2016 ◽  
Vol 142 (2) ◽  
pp. 04015081 ◽  
Author(s):  
Vasileios C. Fragkoulis ◽  
Ioannis A. Kougioumtzoglou ◽  
Athanasios A. Pantelous
Keyword(s):  
Random Vibration ◽  
Structural Systems ◽  
Singular Matrices

scholarly journals Comparison of Hysteresis Models for Nonlinear Dynamic Analysis of Structural Systems

2021 ◽  
Author(s):  
Arya Bharath T K ◽  
Nisha A.S
Keyword(s):  
Nonlinear Response ◽  
Elastic Limit ◽  
Nonlinear Dynamic Analysis ◽  
Residual Deformation ◽  
Dissipated Energy ◽  
Structural Systems ◽  
Preisach Model ◽  
Earthquake Excitation ◽  
Loading And Unloading ◽  
Hysteretic Characteristics

Hysteresis is a non-linear phenomenon exhibited by the mechanical systems. Beyond elastic limit the loading and unloading path of most of the system will differ and that nonlinear path is indicated by hysteresis. The reason for shape of hysteretic cure may due to either changes in material properties beyond the elastic range or due to the changes in structural geometry because of subjected load. This response is a function of both immediate deformation and the previous residual deformation acted on it since it represents the dissipated energy of structure. The hysteretic characteristics or degrading characteristics includes pinching, stiffness degradation, load deterioration, and sliding. A study of four commonly available hysteresis models, which are Bouc Wen Model, Mostaghel Model, Menegotto Pinto Model and Preisach Model were briefly reviewed and discussed in this section and the outcome of this study is the best fitted model for the nonlinear analysis. The scope of the work is to simulate nonlinear response of the building frame subjected to earthquake excitation in a most effective way.

Geometrically Nonlinear Response of Beam and Membrane Structures by Exact Reduction Technique

1998 ◽  
Author(s):  
Cho W. S. To ◽  
Lingchuan Li
Keyword(s):  
Finite Element ◽  
Nonlinear Response ◽  
Large Scale ◽  
Computational Cost ◽  
Free Vibration Analysis ◽  
Structural Systems ◽  
Second Phase ◽  
Geometrically Nonlinear ◽  
Theoretic Approach ◽  
Membrane Structures

Abstract Large scale dynamic finite element analysis of complex nonlinear mechanical or structural systems can be very expensive. To significantly reduce the computational cost various techniques have been developed and presented in the literature. The reduction method based on symmetry group or the so-called group theoretic approach (GTA) of Healey and associates for bifurcation analysis and free vibration analysis of geometrically nonlinear systems with symmetries has been extended by the authors to deal with transient geometrically nonlinear response of structures discretized by the finite element method (FEM). Computed results for two discretized space trusses were obtained with the GTA, and presented by the authors in a previous paper. Application is further made of the GTA for the computation of geometrically nonlinear response of beam and membrane structures during the second phase of the investigation reported here. The obtained numerical results indicate that the GTA can be applied to relatively more complicated structural systems that include symmetry of nodal rotations. It was observed that the results obtained by the GTA are very accurate and the GTA is very efficient compared with technique for the full space problems.

scholarly journals General nonlinear response of a single input system to stochastic excitations

1995 ◽  
Vol 19 (1) ◽  
pp. 46-55 ◽  
Author(s):  
A.D Irving ◽  
N.H Cunliffe ◽  
T Dewson ◽  
G Hong
Keyword(s):  
Nonlinear Response ◽  
Input System ◽  
Stochastic Excitations ◽  
Single Input

Statistical Linearization of Nonlinear Structural Systems with Singular Matrices

2016 ◽  
Vol 142 (9) ◽  
pp. 04016063 ◽  
Author(s):  
Vasileios C. Fragkoulis ◽  
Ioannis A. Kougioumtzoglou ◽  
Athanasios A. Pantelous
Keyword(s):  
Statistical Linearization ◽  
Structural Systems ◽  
Nonlinear Structural ◽  
Singular Matrices
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