scholarly journals Nonlinear one degree of freedom dynamic systems with “burst displacement characteristics” and “burst type response”

2009 ◽  
Author(s):  
O. T. Gudmestad ◽  
T. M. Jonassen ◽  
C.-T. Stansberg ◽  
A. N. Papusha
Keyword(s):  
Dynamic Systems ◽  
Degree Of Freedom ◽  
Type Response

On Degeneracy of Eigenvalues and Recursive Solution of Symmetrically Coupled Dynamic Systems

1970 ◽  
Vol 37 (4) ◽  
pp. 1180-1182
Author(s):  
Fan Y. Chen
Keyword(s):  
Dynamic Systems ◽  
Coupled System ◽  
Circulant Matrix ◽  
Mathematical Induction ◽  
Degree Of Freedom ◽  
Recursive Solution ◽  
Direct Inspection

Based on mathematical induction, we can prove that the eigenvalues of a special nth order circulant matrix are degenerate. Hence the eigenvibration problem of an n degree-of-freedom symmetrically coupled system with equal masses and equal spring stiffnesses can be solved by direct inspection of the system schematic.

Design of Vibratory Systems with Aid of Dimensional Analysis

1980 ◽  
Vol 102 (4) ◽  
pp. 835-841 ◽  
Author(s):  
M. S. Hundal
Keyword(s):  
Computer Program ◽  
Dimensional Analysis ◽  
Dynamic Systems ◽  
Basic Theory ◽  
Degree Of Freedom ◽  
Flexible Rotor ◽  
Vibrating System ◽  
Dimensional Parameters ◽  
Two Degree Of Freedom

The paper presents the use of dimensional analysis as an aid in the design of dynamic systems. Basic theory of dimensional analysis is discussed. Two examples are given: (1) a two degree of freedom vibrating system and (2) a flexible rotor which is flexibly supported at its ends. Choice of suitable non-dimensional parameters is discussed. A digitial computer program is described which generates all of the possible sets of non-dimensional parameters for a given problem.

Harmonic Analysis of Dynamic Systems With Nonsymmetric Nonlinearities

1979 ◽  
Vol 101 (1) ◽  
pp. 31-36 ◽  
Author(s):  
P-T. D. Spanos ◽  
W. D. Iwan
Keyword(s):  
Steady State ◽  
Harmonic Analysis ◽  
Linear Systems ◽  
Dynamic Systems ◽  
Approximate Solutions ◽  
Steady State Solution ◽  
Degree Of Freedom ◽  
Equivalent Linearization ◽  
Engineering Applications ◽  
Vehicle System

The generalized method of equivalent linearization is modified to be applicable for multi-degree-of-freedom dynamic systems with nonsymmetric nonlinearities subjected to harmonic monofrequency excitation. Readily applicable formulas are given for the construction of the equivalent linear systems related to a class of systems commonly encountered in engineering applications. As an example of its application, the proposed method is used to generate an approximate steady-state solution for a simple vehicle system. The accuracy of the approximate solutions is determined.

On the Heavily Damped Response in Viscously Damped Dynamic Systems

2004 ◽  
Vol 71 (1) ◽  
pp. 131-134 ◽  
Author(s):  
R. M. Bulatovic
Keyword(s):  
Linear Systems ◽  
Dynamic Systems ◽  
Degree Of Freedom ◽  
Physical Parameters ◽  
Design Constraints

Free motions of viscously damped linear systems are studied. A heavily damped multi-degree-of-freedom system is defined as one for which all its eigenvalues are real, negative, and semi-simple. Several results are obtained which state conditions for the heavy damping of the system. The conditions are given directly in terms of the coefficients of system matrices and these conditions may yield design constraints in terms of the physical parameters of the system. An example illustrates the validity and usefulness of the presented results.

Theoretical and Experimental Studies on Magnetic Dampers

2013 ◽  
Vol 430 ◽  
pp. 351-355 ◽  
Author(s):  
Nicolaie Orăşanu ◽  
Andrei Craifaleanu ◽  
Cristian Dragomirescu
Keyword(s):  
Dynamic Systems ◽  
Experimental Studies ◽  
Experimental Methods ◽  
Degree Of Freedom ◽  
Theoretical Studies ◽  
Practical Applications ◽  
Damping Characteristics ◽  
Mechanical Devices ◽  
Proper Operation

The proper operation and reliability of numerous mechanical devices depends on reducing the vibrations of embedded components, modeled as multi-degree-of-freedom dynamic systems. This can be achieved by using various types of absorbers. The design of such devices is conditioned by the understanding of the variation of their technical characteristics with the constructive parameters. The present paper is dedicated to a special type of dampers, based on the use of the magnetic phenomenon. However, available empirical formulae for the damping characteristics of magnetic dampers do not reveal all significant dependencies. Based on theoretical, numerical and experimental methods, the paper brings a number of contributions concerning the relation between the damping characteristics of a magnetic damper and some of its constructive parameters. Variation curves, useful both for theoretical studies and practical applications, are plotted.

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