scholarly journals On the ubiquity of classical harmonic oscillators and a universal equation for the natural frequency of a perturbed system

2021 ◽  
Vol 89 (12) ◽  
pp. 1094-1102
Author(s):  
J. J. Bissell
Keyword(s):  
Natural Frequency ◽  
Harmonic Oscillators ◽  
Universal Equation ◽  
Perturbed System

Influence of the distribution of the shear walls on the seismic response of the buildings

2020 ◽  
Vol 15 (1) ◽  
pp. 37-44
Author(s):  
El Mehdi Echebba ◽  
Hasnae Boubel ◽  
Oumnia Elmrabet ◽  
Mohamed Rougui
Keyword(s):  
Structural Analysis ◽  
Seismic Response ◽  
Natural Frequency ◽  
Structural Design ◽  
Structural Response ◽  
Shear Walls ◽  
Structural Elements ◽  
Analysis Software ◽  
Ansys Apdl ◽  
The Impact

Abstract In this paper, an evaluation was tried for the impact of structural design on structural response. Several situations are foreseen as the possibilities of changing the distribution of the structural elements (sails, columns, etc.), the width of the structure and the number of floors indicates the adapted type of bracing for a given structure by referring only to its Geometric dimensions. This was done by studying the effect of the technical design of the building on the natural frequency of the structure with the study of the influence of the distribution of the structural elements on the seismic response of the building, taking into account of the requirements of the Moroccan earthquake regulations 2000/2011 and using the ANSYS APDL and Robot Structural Analysis software.

Effect of Curved Thin-film Device on Natural Frequency of Rectangle Membrane under Uniaxial Tension

2019 ◽  
Vol 18 (0) ◽  
pp. 73-80 ◽  
Author(s):  
Masanori MATSUSHITA ◽  
Nobukatsu OKUIZUMI ◽  
Yasutaka SATOU ◽  
Osamu MORI ◽  
Takashi IWASA ◽  
...  
Keyword(s):  
Thin Film ◽  
Uniaxial Tension ◽  
Natural Frequency ◽  
Thin Film Device

On the Calculation of Polynomially Perturbed Harmonic Oscillators

PIERS Online ◽  
2007 ◽  
Vol 3 (4) ◽  
pp. 485-489 ◽  
Author(s):  
P. Peidaee ◽  
Alireza Baghai-Wadji
Keyword(s):  
Harmonic Oscillators

A novel method for single and multiple damage detection in beams using relative natural frequency changes

2019 ◽  
Vol 132 ◽  
pp. 335-352 ◽  
Author(s):  
Ganggang Sha ◽  
Maciej Radzieński ◽  
Maosen Cao ◽  
Wiesław Ostachowicz
Keyword(s):  
Damage Detection ◽  
Natural Frequency ◽  
Novel Method ◽  
Frequency Changes

scholarly journals Complete Controllability Conditions for Linear Singularly Perturbed Time-Invariant Systems with Multiple Delays via Chang-Type Transformation

Axioms ◽  
2019 ◽  
Vol 8 (2) ◽  
pp. 71 ◽  
Author(s):  
Olga Tsekhan
Keyword(s):  
Sufficient Conditions ◽  
Singularly Perturbed ◽  
Degenerate System ◽  
Multiple Delays ◽  
Complete Controllability ◽  
Singularly Perturbed System ◽  
System With Delay ◽  
Perturbed System ◽  
Time Invariant ◽  
Controllability Conditions

The problem of complete controllability of a linear time-invariant singularly-perturbed system with multiple commensurate non-small delays in the slow state variables is considered. An approach to the time-scale separation of the original singularly-perturbed system by means of Chang-type non-degenerate transformation, generalized for the system with delay, is used. Sufficient conditions for complete controllability of the singularly-perturbed system with delay are obtained. The conditions do not depend on a singularity parameter and are valid for all its sufficiently small values. The conditions have a parametric rank form and are expressed in terms of the controllability conditions of two systems of a lower dimension than the original one: the degenerate system and the boundary layer system.

NUMERICAL COMPUTATION OF CANARDS

2000 ◽  
Vol 10 (12) ◽  
pp. 2669-2687 ◽  
Author(s):  
JOHN GUCKENHEIMER ◽  
KATHLEEN HOFFMAN ◽  
WARREN WECKESSER
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Electrical Potential ◽  
Slow Manifold ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Singularly Perturbed System ◽  
Chemical Systems ◽  
Perturbed System ◽  
Physical And Chemical

Singularly perturbed systems of ordinary differential equations arise in many biological, physical and chemical systems. We present an example of a singularly perturbed system of ordinary differential equations that arises as a model of the electrical potential across the cell membrane of a neuron. We describe two periodic solutions of this example that were numerically computed using continuation of solutions of boundary value problems. One of these periodic orbits contains canards, trajectory segments that follow unstable portions of a slow manifold. We identify several mechanisms that lead to the formation of these and other canards in this example.

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