Free vibrations of a mass grounded by linear and nonlinear springs in series

2006 ◽  
Vol 289 (4-5) ◽  
pp. 689-710 ◽  
Author(s):  
Sevda Tellı˙ ◽  
Osman Kopmaz
Keyword(s):  
Free Vibrations ◽  
Nonlinear Springs ◽  
In Series ◽  
Linear And Nonlinear

scholarly journals Mitigating the seismic pounding of multi-story buildings in series using linear and nonlinear fluid viscous dampers

2021 ◽  
Vol 21 (4) ◽  
Author(s):  
Hytham Elwardany ◽  
Robert Jankowski ◽  
Ayman Seleemah
Keyword(s):  
Substantial Improvement ◽  
Point Of View ◽  
Steel Buildings ◽  
Viscous Dampers ◽  
Element Analysis ◽  
Fluid Viscous Dampers ◽  
Adjacent Buildings ◽  
In Series ◽  
Linear And Nonlinear ◽  
Nonlinear Fluid

AbstractSeismic-induced pounding between adjacent buildings may have serious consequences, ranging from minor damage up to total collapse. Therefore, researchers try to mitigate the pounding problem using different methods, such as coupling the adjacent buildings with stiff beams, connecting them using viscoelastic links, and installing damping devices in each building individually. In the current paper, the effect of using linear and nonlinear fluid viscous dampers to mitigate the mutual pounding between a series of structures is investigated. Nonlinear finite-element analysis of a series of adjacent steel buildings equipped with damping devices was conducted. Contact surfaces with both contactor and target were used to model the mutual pounding. The results indicate that the use of linear or nonlinear dampers leads to the significant reduction in the response of adjacent buildings in series. Moreover, the substantial improvement of the performance of buildings has been observed for almost all stories. From the design point of view, it is concluded that dampers implemented in adjacent buildings should be designed to resist maximum force of 6.20 or 1.90 times the design independent force in the case of using linear or nonlinear fluid viscous dampers, respectively. Also, designers should pay attention to the design of the structural elements surrounding dampers, because considerable forces due to pounding may occur in the dampers at the maximum displaced position of the structure.

scholarly journals SPICE Behaviors of Double Memristor Circuits Using Cosine Window Function

2021 ◽  
Vol 9 ◽  
Author(s):  
Kai-Da Xu ◽  
Donghao Li ◽  
Yannan Jiang ◽  
Qiang Chen
Keyword(s):  
Window Function ◽  
Charge Voltage ◽  
Hewlett Packard ◽  
Pspice Simulation ◽  
In Series ◽  
Linear And Nonlinear ◽  
High Flexibility ◽  
Flux Charge

In this paper, a Hewlett-Packard (HP) memristor model with a new window function and its versatile characteristics are presented. SPICE behaviors of the linear and nonlinear memristor model are studied through PSpice simulation. High flexibility is demonstrated for emulating the behaviors of the practical HP memristors. Furthermore, the characteristics of the composite SPICE behaviors are both investigated when two memristors are connected in series and in parallel. The polarity of each memristor is also taken into consideration. The relationships among flux, charge, voltage, current, and memristance of the double memristor circuits are simulated and analyzed.

Nonlinear oscillation system of mass with serial linear and nonlinear springs

2013 ◽  
Vol 87 (8) ◽  
pp. 787-792
Author(s):  
S. R. Seyedalizadeh Ganji ◽  
A. Barari ◽  
S. Karimpour ◽  
M. G. Sfahani
Keyword(s):  
Nonlinear Oscillation ◽  
Oscillation System ◽  
Nonlinear Springs ◽  
Linear And Nonlinear

scholarly journals Identification of Linear and Nonlinear Sensory Processing Circuits from Spiking Neuron Data

2018 ◽  
Vol 30 (3) ◽  
pp. 670-707 ◽  
Author(s):  
Dorian Florescu ◽  
Daniel Coca
Keyword(s):  
Sensory Processing ◽  
Neuron Model ◽  
Linear Filter ◽  
Spiking Neuron ◽  
Neuron Models ◽  
Integrate And Fire ◽  
Spiking Neuron Model ◽  
In Series ◽  
Linear And Nonlinear ◽  
Model Equations

Inferring mathematical models of sensory processing systems directly from input-output observations, while making the fewest assumptions about the model equations and the types of measurements available, is still a major issue in computational neuroscience. This letter introduces two new approaches for identifying sensory circuit models consisting of linear and nonlinear filters in series with spiking neuron models, based only on the sampled analog input to the filter and the recorded spike train output of the spiking neuron. For an ideal integrate-and-fire neuron model, the first algorithm can identify the spiking neuron parameters as well as the structure and parameters of an arbitrary nonlinear filter connected to it. The second algorithm can identify the parameters of the more general leaky integrate-and-fire spiking neuron model, as well as the parameters of an arbitrary linear filter connected to it. Numerical studies involving simulated and real experimental recordings are used to demonstrate the applicability and evaluate the performance of the proposed algorithms.

Mechanical Vibration Filters With Nonlinear Characteristics

1960 ◽  
Vol 82 (4) ◽  
pp. 369-375
Author(s):  
Will J. Worley
Keyword(s):  
Steady State ◽  
Mechanical Vibration ◽  
Nonlinear Characteristics ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Nonlinear Springs ◽  
Sinusoidal Oscillations ◽  
Single Mass ◽  
Linear And Nonlinear ◽  
Differential Analyzer

The behavior of a single degree of freedom system consisting of a single mass mounted on a spring and damper attached to an oscillating base is investigated. Steady-state and transient sinusoidal oscillations are applied to the base to which the suspension is attached. The response of the mass is recorded for various combinations of linear and nonlinear springs and dampers. Solutions are obtained with a differential analyzer.

scholarly journals Solving Systems of Volterra Integral and Integrodifferential Equations with Proportional Delays by Differential Transformation Method

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Şuayip Yüzbaşı ◽  
Nurbol Ismailov
Keyword(s):  
Exact Solution ◽  
Nonlinear Equations ◽  
Taylor Series ◽  
Transformation Method ◽  
Integrodifferential Equations ◽  
Differential Transformation Method ◽  
Differential Transformation ◽  
Proportional Delays ◽  
In Series ◽  
Linear And Nonlinear

In this paper, the differential transformation method is applied to the system of Volterra integral and integrodifferential equations with proportional delays. The method is useful for both linear and nonlinear equations. By using this method, the solutions are obtained in series forms. If the solutions of the problem can be expanded to Taylor series, then the method gives opportunity to determine the coefficients of Taylor series. Hence, the exact solution can be obtained in Taylor series form. In illustrative examples, the method is applied to a few types of systems.

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