321 Analysis of Steady Impact Vibration in Mass-Spring System for Two-Degree-of-Freedom Excited by Periodic Force with Arbitrary Functions

2003 ◽  
Vol 2003 (0) ◽  
pp. _321-1_-_321-6_
Author(s):  
Hitoshi HAYANO ◽  
Hiroyuki KUMANO
Keyword(s):  
Degree Of Freedom ◽  
Periodic Force ◽  
Spring System ◽  
Mass Spring ◽  
Impact Vibration ◽  
Two Degree Of Freedom

The Onset of Chaos in a Two-Degree-of-Freedom Impacting System

1989 ◽  
Vol 56 (1) ◽  
pp. 168-174 ◽  
Author(s):  
Jinsiang Shaw ◽  
Steven W. Shaw
Keyword(s):  
Piecewise Linear ◽  
Global Bifurcation ◽  
Degree Of Freedom ◽  
Chaotic Motions ◽  
Impact Damper ◽  
Onset Of Chaos ◽  
Spring System ◽  
Stability And Bifurcations ◽  
Mass Spring ◽  
Two Degree Of Freedom

The dynamic response of a two-degree-of-freedom impacting system is considered. The system consists of an inverted pendulum with motion limiting stops attached to a sinusoidally excited mass-spring system. Two types of periodic response for this system are analyzed in detail; existence, stability, and bifurcations of these motions can be explicitly computed using a piecewise linear model. The appearance and loss of stability of very long period subharmonics is shown to coincide with a global bifurcation in which chaotic motions, in the form of Smale horseshoes, arise. Application of this device as an impact damper is also briefly discussed.

Fractal Boundary Explorations for a Nonlinear Two Degree-of-Freedom System

2012 ◽  
Author(s):  
Benjamin A. M. Owens ◽  
Brian P. Mann
Keyword(s):  
Initial Conditions ◽  
Coupled System ◽  
Basins Of Attraction ◽  
Degree Of Freedom ◽  
Fractal Boundary ◽  
Final State ◽  
Potential Wells ◽  
Mechanical Coupling ◽  
Mass Spring ◽  
Two Degree Of Freedom

This paper explores a two degree-of-freedom nonlinearly coupled system with two distinct potential wells. The system consists of a pair of linear mass-spring-dampers with a non-linear, mechanical coupling between them. This nonlinearity creates fractal boundaries for basins of attraction and forced well-escape response. The inherent uncertainty of these fractal boundaries is quantified for errors in the initial conditions and parameter space. This uncertainty relationship provides a measure of the final state and transient sensitivity of the system.

scholarly journals Analysis of controllers in suppressing the structural building vibration

2019 ◽  
Vol 15 (1) ◽  
pp. 112-116
Author(s):  
Normaisharah Mamat ◽  
Fitri Yakub ◽  
Sheikh Ahmad Zaki Sheikh Salim
Keyword(s):  
Fuzzy Logic ◽  
Sliding Mode ◽  
Degree Of Freedom ◽  
Control Voltage ◽  
Sliding Mode Controller ◽  
Building Structure ◽  
Matlab Simulink ◽  
Mass Spring ◽  
Earthquake Vibration ◽  
Two Degree Of Freedom

Two degree of freedom (2 DOF) mass spring damper system is used in representing as building structure that dealing with the earthquake vibration. The real analytical input is used to the system that taken at El Centro earthquake that occurred in May 1940 with magnitude of 7.1 Mw. Two types of controller are presented in controlling the vibration which are fuzzy logic (FL) and sliding mode controller (SMC). The paper was aimed to improve the performance of building structure towards vibration based on proposed controllers. Fuzzy logic and sliding mode controller are widely known with robustness character. The mathematical model of two degree of freedom mass spring damper wasis derived to obtain the relationship between mass, spring, damper, force and actuator. Fuzzy logic and sliding mode controllers were implemented to 2 DOF system to suppress the earthquake vibration of two storeys building. Matlab/Simulink was used in designing the system and controllers to present the result of two storeys displacement time response and input control voltage for uncontrolled and controlled system. Then the data of earthquake disturbance was taken based on real seismic occurred at El Centro to make it as the force disturbance input to the building structure system. The controllers proposed would minimize the vibration that used in sample earthquake disturbance data. The simulation result was carried out by using Matlab/Simulink. The simulation result showed sliding mode controller was better controller than fuzzy logic. In specific, by using the controller, earthquake vibration can be reduced.

Variation in the Geometric Interpretation of the Eigenvalue Problem of a Structure Due to Damage

1999 ◽  
Author(s):  
Frederick A. Just Agosto ◽  
Scott L. Hendricks
Keyword(s):  
Eigenvalue Problem ◽  
Convex Hull ◽  
Convex Set ◽  
Conservative System ◽  
Geometric Interpretation ◽  
Degree Of Freedom ◽  
Damage Scenarios ◽  
Spring System ◽  
Two Degree Of Freedom

Abstract This paper studies the behavior of the geometric interpretation of the eigenvalue problem. An arbitrary two degree of freedom structure is modeled as a two mass, two spring system. The damage in the system is represented as a reduction in stiffness and the structure is assumed to be a natural conservative system. The geometric interpretation of the system is an ellipse which is examined under various damage conditions occurring on the structure. It is shown that this representation is a convex set and that damage produces a new set which is the convex hull of the existing condition. These results are graphed for several damage scenarios of the system.

Robust end point tracking control of a two-degree-of-freedom mass-spring-damper system

1994 ◽  
Vol 59 (5) ◽  
pp. 1309-1324
Author(s):  
M. M. BRIDGES ◽  
J. Y. ZHU ◽  
D. M. DAWSON ◽  
Z. QU
Keyword(s):  
Tracking Control ◽  
Degree Of Freedom ◽  
End Point ◽  
Point Tracking ◽  
Mass Spring ◽  
Two Degree Of Freedom
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