An Analogue Simulation of the Nonlinear Vibration of a Plate with a Central Opening Subjected to Tension Loading

1981 ◽  
Vol 23 (2) ◽  
pp. 103-106 ◽  
Author(s):  
P. K. Datta
Keyword(s):  
Random Excitation ◽  
Analogue Computer ◽  
Nonlinear Stiffness ◽  
Single Degree Of Freedom ◽  
Response Characteristics ◽  
Single Degree ◽  
Central Opening ◽  
Frequency Response Characteristics ◽  
Stiffness Characteristics ◽  
Tension Loading

The complicated, nonlinear stiffness characteristics of a tensioned plate with a central opening are studied via analogue computer simulation. Associated frequency response characteristics and statistical properties of the response to random excitation are examined using a single degree of freedom model.

A Theory of Nonlinear Regenerative Chatter

1974 ◽  
Vol 96 (1) ◽  
pp. 247-255 ◽  
Author(s):  
N. H. Hanna ◽  
S. A. Tobias
Keyword(s):  
Order Differential Equation ◽  
Chip Thickness ◽  
Finite Amplitude ◽  
Milling Process ◽  
Face Milling ◽  
Nonlinear Stiffness ◽  
Degree Polynomial ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Stiffness Characteristics

A mathematical theory of nonlinear chatter is developed. In this, the structure is represented by an equivalent single degree of freedom system with nonlinear stiffness characteristics and the cutting force by a third degree polynomial of the chip thickness. This model leads to a second order differential equation with nonlinear stiffness and nonlinear time delay terms from which the conditions of steady state chatter are derived. These are then discussed by applying them to an equivalent system derived from experimental data pertaining to a face milling process. The theory provides an explanation for the stages in which chatter develops and also for the “finite amplitude instability” phenomenon.

Primary Resonance of a Vehicle Suspension System With Nonlinear Stiffness and Nonlinear Damping

2006 ◽  
Author(s):  
Shaohua Li ◽  
Shaopu Yang
Keyword(s):  
Primary Resonance ◽  
Singularity Theory ◽  
Nonlinear Damping ◽  
Suspension System ◽  
Vehicle Suspension ◽  
Model Parameters ◽  
Nonlinear Stiffness ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Vehicle Suspension System

In this work, primary resonance of a single-degree-of-freedom (SDOF) vehicle suspension system with nonlinear stiffness and nonlinear damping under multi-frequency excitations is investigated. The primary resonance equation is obtained by average method, and then the system’s bifurcation behaviors are studied by singularity theory. In addition, the effect of changing physical model parameters on the system’s primary resonance is studied.

Dynamic Analysis of Variable Stiffness Bracing System in Structure

2014 ◽  
Vol 704 ◽  
pp. 442-446 ◽  
Author(s):  
Amir Fateh ◽  
Farzad Hejazi ◽  
Mohd Saleh Jaafar ◽  
Izian Abd. Karim ◽  
Azlan bin Adnan
Keyword(s):  
Numerical Analysis ◽  
Dynamic Analysis ◽  
Variable Stiffness ◽  
Nonlinear Stiffness ◽  
Braced Frames ◽  
Earthquake Excitation ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Leaf Springs ◽  
Bracing System

In this paper, the application of a variable stiffness bracing (VSB) system in structures subjected to earthquake excitation is presented. The considered variable stiffness system is includes of four curve leaf springs. The nonlinear geometry of leaf springs which are acting as bending component lead to nonlinear stiffness performance. The variable stiffness bracing system does not act much for small to intermediate vibration amplitudes but it’s operated to control unpredictably large story displacement. It means this retrofit’s technique avoid an increase force in structural component due to ordinary brace action. The single degree of freedom system (SDOF) is considered and dynamic analysis of aforementioned system, with Bare and normal braced frames are conducted and the results are compared. The efficiency of the proposed system is discussed and proved in light of numerical analysis.

scholarly journals Numerical simulation of a wind excited quasi-periodic regime of a stochastic van der Pol-type equation

2020 ◽  
Vol 313 ◽  
pp. 00044
Author(s):  
Cyril Fischer ◽  
Jiří Náprstek
Keyword(s):  
Numerical Simulation ◽  
Experimental Investigation ◽  
Type Equation ◽  
Random Excitation ◽  
Periodic Regime ◽  
Van Der Pol ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Configuration Parameter ◽  
Slender Structure

The contribution regards a mathematical single-degree-of-freedom model of a slender structure vibrating in an air flow. Based on an experimental investigation, movement of such structures can be expressed by van der PolDuffing-type equations. Several particular configuration parameter settings for a white and non-white Gaussian random excitation together with deterministic harmonic forcing are considered and numerically analysed. The results support recently published analytic formulas.

Dynamics of High-Speed Cam-Driven Mechanisms—Part 1: Linear System Models

1975 ◽  
Vol 97 (3) ◽  
pp. 769-775 ◽  
Author(s):  
Fan Y. Chen ◽  
N. Polvanich
Keyword(s):  
High Speed ◽  
Degrees Of Freedom ◽  
Response Spectra ◽  
System Model ◽  
Single Degree Of Freedom ◽  
System Parameters ◽  
Response Characteristics ◽  
Single Degree ◽  
Design Charts ◽  
Driven System

The dynamic response of the cam-driven mechanism is investigated for a variety of cam motion profiles. Based on a linear, lumped system model of single degree of freedom, the results of the response characteristics of the follower are presented in the form of nondimensional primary and residual shock response spectra. These spectra are also recasted in four-coordinate log-log grid forms. The extension of this approach to treat the system model of two degrees of freedom is delineated. Furthermore, the analysis of a two-freedom model of the cam-driven system was also undertaken to clarify the effects of many system parameters and for obtaining an optimal design. Fundamental design charts are presented.

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